The rent for an apartment was $6,600 per year in 2012. If the rent increased at a rate of 4% each year thereafter, use an exponential equation to find the rent of the apartment in 2017. (Write your answer in dollars, such as $XX. XX)

Answers

Answer 1

The rent for the apartment using exponential equation in 2017 was $8,029.91.

To find the rent of the apartment in 2017, we will use an exponential equation. An exponential equation is a mathematical expression where a variable is raised to a power, often used to model growth or decay. In this case, we will model the growth of the rent over time.

1. Identify the initial rent, the growth rate, and the number of years that have passed since 2012.
Initial rent (A0): $6,600
Growth rate (r): 4% = 0.04
Number of years (t): 2017 - 2012 = 5

2. Write the exponential equation for the rent increase:
At = A0 * (1 + r)^t

3. Plug in the given values and calculate the rent in 2017:
At = $6,600 * (1 + 0.04)^5

4. Calculate the rent:
At = $6,600 * (1.04)^5
At = $6,600 * 1.2166529
At = $8,029.91

The rent for the apartment in 2017 was $8,029.91. This was calculated using an exponential equation, which allowed us to account for the 4% annual increase in rent over the 5 years since 2012.

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Related Questions

Help pls

I need help asap i put the picture below

Answers

Answer:

d

Step-by-step explanation:

so b = 4

and the slope is rise over run = 5/2

Answer:

D) [tex]y=\frac{5}{2}x+4[/tex]

Step-by-step explanation:

The line equation of a line is:

[tex]y=mx+b[/tex] with m being the slope and b being the y-intercept.

We can see from the graph that the y-intercept is 4, as that's where the line intercepts the y-axis, and when x=0.

To find the slope, we first need to pick 2 points: (0,4) and (2,9).

The formula for slope is:

[tex]\frac{rise}{run}[/tex]

The rise is how many units you go up/down from one point to another.  The run is how many units you go left/right from one point to another.
We can see that we go up 5 units and we go right 2 units.  This means our slope is 5/2.

The completed line equation is:

[tex]y=\frac{5}{2}x+4[/tex], which means D is the correct option.

Hope this helps! :)

(5)/(6)a+4(1)/(4)a
pls help i need it to finish

Answers

The required answer to the algebraic fraction [ {(5)/(6)}a + 4 {(1)/(4)}a ] is [ {(11)/(6)}a ] .

We can simplify this algebraic fraction problem by simple rule of fraction addition and with application LCM rule as,

{(5)/(6)}a + 4 {(1)/(4)}a

= {(5)/(6)}a + (1)a

= [{ (5)+ (6) }/(6)]a

= {(11)/(6)}a

The LCM (or, Least Common Multiple) rule is used for the two algebraic fraction here as the value that is divisible by the two given numbers in the denominator of the algebraic fractions. Then by rule, the numerators are multiplied by the factor of LCM of the denominator and then the numerators are added.

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If the price of a car is $5,900 and has a down payment of 15%, with a tax rate of 8.5%, how much will the amount of the loan need to be for?

Answers

7361.73 is the amount of the loan needed

Evaluate ∫∫∫ex dV where E is enclosed by the planes z = 0
and z = x + y + 5 and by the cylinders x^2 + y^2 = 4 and
x^2 + y^2 =9.

Answers

The E is enclosed by the planes z = 0 and z = x + y + 5

Why will E is enclosed by the planes z = 0?

The evaluate the triple integral ∫∫∫_E eˣ dV, where E is enclosed by the planes z = 0 and z = x + y + 5, and by the cylinders x² + y² = 4 and x² + y² = 9,

Follow these steps:

Convert to cylindrical coordinates: x = rcos(θ), y = rsin(θ), and z = z. The Jacobian for the transformation is r. The cylinders become r² = 4 and r² = 9.
Set up the triple integral in cylindrical coordinates: ∫∫∫_E e^(rcos(θ)) ˣ r dz dr dθ.
Determine the bounds for θ: Since the cylinders are symmetric around the z-axis, θ will range from 0 to 2π.
Determine the bounds for r: As given by the cylinders, r will range from 2 to 3 (corresponding to r² = 4 and r² = 9).
Determine the bounds for z: The lower bound is given by the plane z = 0, while the upper bound is given by the plane z = x + y + 5, which in cylindrical coordinates becomes z = rcos(θ) + rsin(θ) + 5.
Set up the triple integral with the determined bounds: ∫(θ=0 to 2π) ∫(r=2 to 3) ∫(z=0 to rcos(θ)+rsin(θ)+5) e^(rcos(θ)) * r dz dr dθ.
Evaluate the triple integral by performing the innermost integral first and working outward. This may involve integration techniques such as substitution or integration by parts. Once all integrals are evaluated, you will have the result of the original triple integral.

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5. A ramp is to be built using a 20 foot long board and an 18 foot long board. To make die stable, the builders would like to add a third board to create a right triangle. How longed that board be, to the nearest hundredth of a foot?

Answers

The length of the third board the builders will add to create a right triangle, according to the Pythagorean Theorem is about 8.72 ft

What is the Pythagorean Theorem?

Pythagorean Theorem is the relationship between the lengths of the three sides of a right triangle. The theorem states that the square of the length of the hypotenuse is equivalent to the sum of the square of the other two sides of the right triangle.

The specified dimensions of the ramp are;

Length of one side of the ramp = 20 ft

Length of the other side of the ramp = 18 ft

The shape of the triangle the builders would like to create = A right triangle

Let x represent the length of the third board, and let the 20 ft board represent the hypotenuse side. Pythagorean Theorem indicates that we get;

20² = 18² + x²

20² - 18² = x²

x² = 20² - 18² = 76

x = √(76) = 2·√(19) ≈ 8.72

The length of the third board, x ≈ 8.72 ft

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1 ) If the supplement of an angle is 30 degrees more than the measure of the angle, what is the measure of the angle?

2) If the supplement of an angle is 12 degrees less than twice the measure of the angle, what is the measure of the angle?

Answers

a) If the supplement of an angle is 30 degrees more than the measure of the angle, the measure of the angle is 75 degrees.

b) If the supplement of an angle is 12 degrees less than twice the measure of the angle, the measure of the angle is 64 degrees.

a) Let x be the measure of the angle. The supplement of the angle is 180-x. According to the problem, the supplement of the angle is 30 degrees more than the measure of the angle. This can be written as:

180 - x = x + 30

Solving for x, we get:

2x = 150

x = 75

b) Let x be the measure of the angle. The supplement of the angle is 180-x. According to the problem, the supplement of the angle is 12 degrees less than twice the measure of the angle. This can be written as:

180 - x = 2x - 12

Solving for x, we get:

3x = 192

x = 64

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Find the y-component of this
vector:
42.2°
101 m
Remember, angles are measured from
the +x axis.

Answers

Y-component of the vector as shown in the diagram is 67.84 m in the direction of the negative y-axis.

What is a vector?

Vector is a quantity that has both magnitude and direction.

Examples a vectors are

VelocityAccelerationDisplacementForceWeightMoment. Etc.

To find the Y-component of the vector, we use the formula below.

Formula:

Y = dsinα................. Equation 1

Where:

Y = Y-component of the vectord = Distance of the vector along the x-y planeα = Angle of the vector to the x-axis

From the question,

Given:

d = 101 mα = (180+42.2) = 222.2°

Substitute these values into equation 1

Y = 101sin222.2°Y = 67.84 m

Hence, the y component is 67.84 m.

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Morgan takes a train from London to Bewford and then another train to Agon.
The tree diagram shows the probabilities of Morgan's trains being late or not late.
to Bewford
to Agon
Late
0.24
Late
0.35
0.76
Not late
Late
0.24
0.65
Not late
0.76
Not
late
Morgan will not catch the train to Agon if the train to Bewford is late and the train to Agon is not late.
Work out the probability that Morgan will catch the train to Agon.
Give your answer as a decimal.

Answers

The probability that Morgan will catch the train to Agon is 0.578.

To catch the train to Agon, one of the following conditions must be met:

The train to Bewford is not late and the train to Agon is not late.

The train to Bewford is not late and the train to Agon is late.

The probability of the first condition is:

(0.76) x (0.65) = 0.494

The probability of the second condition is:

(0.24) x (0.35) = 0.084

Therefore, the probability that Morgan will catch the train to Agon is:

0.494 + 0.084 = 0.578 (to three decimal places)

So the probability that Morgan will catch the train to Agon is 0.578.

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Mr. jackers was transporting a giraffe from one zoo to another. what is a reasonable amount of the weight of his cargo?

a. 200 lbs.

b. 400 lbs.

c. 1 ton

d. 2 tons

Answers

The reasonable amount of weight of his cargo Mr. Jackers while transporting a giraffe from one zoo to another is 1 ton and 2 tons. Options C and D are correct.

To arrive at a reasonable estimate, we can consider the average weight of a giraffe, which ranges between 2,600 lbs and 4,250 lbs for adult males and females, respectively.

Therefore, a reasonable amount for the weight of Mr. Jackers' cargo would be between 2,600 lbs and 4,250 lbs, which translates to either 1 ton or 2 tons.

Thus, options c and d are the only reasonable answers, with d (2 tons) being the safer choice.

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An a frame house has a front facade measuring 30' across and 20' in height what is the area of the facade

Answers

The area of the facade measuring 30' across and 20' in height is 300 square feet.

The front facade of an A-frame house is a triangular shape, with a base of 30 feet and a height of 20 feet. To calculate the area of the facade, we need to use the formula for the area of a triangle, which is 1/2 times the base times the height = 1/2 * b * h, where b is the base and h is the height.

In this case, the base is 30 feet and the height is 20 feet, so we can plug those values into the formula:

Area = 1/2 x 30 x 20

Simplifying the multiplication, we get:

Area = 300 square feet

Therefore, the area of the front facade of the A-frame house is 300 square feet.

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Marshall and oliver went to an arcade where the machines took tokens. marshall played 10 games of skee ball and 8 games of pinball, using a total of 44 tokens. at the same time, oliver played 3 games of skee ball and 8 games of pinball, using up 30 tokens. how many tokens does each game require?

Answers

Each game of skee ball requires 2 tokens and each game of pinball requires 2 tokens.

Let the number of tokens required for each game of skee ball be x and for each game of pinball be y.

From the given information, we can form two equations:

10x + 8y = 44    ... (1)

3x + 8y = 30      ... (2)

Multiplying equation (2) by 3, we get:

9x + 24y = 90     ... (3)

Subtracting equation (1) from equation (3), we get:

- x + 16y = 46

Solving for x, we get:

x = 16y - 46

Substituting this value of x in equation (2), we get:

3(16y - 46) + 8y = 30

Simplifying and solving for y, we get:

y = 2

Substituting this value of y in equation (1), we get:

10x + 8(2) = 44

Solving for x, we get:

x = 2

Therefore, each game of skee ball requires 2 tokens and each game of pinball requires 2 tokens.

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40% of a smoothie from Blender Splendor is fruit juice. There are 20 ounces in a smoothie. How many ounces of fruit juice does a smoothie have?

Answers

A 20-ounce smoothie from Blender Splendor contains 8 ounces of fruit juice.

To find out how many ounces of fruit juice are in a 20-ounce smoothie from Blender Splendor, given that 40% of the smoothie is fruit juice, follow these steps:

1. Convert the percentage to a decimal: 40% = 0.40
2. Multiply the total ounces of the smoothie by the decimal: 20 ounces * 0.40 = 8 ounces

Your answer: A 20-ounce smoothie from Blender Splendor contains 8 ounces of fruit juice.

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Solve the system of equations. 2x + 3y = 18 3x + y = 6 (9, 0) (3, 4) (1, 3) (0, 6)

Answers

X = 0 and Y = 6 are the answers to the equation system. The system's two equations are satisfied at the location (0, 6). Choice D

To solve the system of equations:

2x + 3y = 18

3x + y = 6

We can employ the substitution or elimination strategy. Let's solve this system via the process of elimination:

To make the coefficients of x in both equations equal, multiply the second equation by two:

2(3x + y) = 2(6)

6x + 2y = 12

Now we have the system of equations:

2x + 3y = 18

6x + 2y = 12

Next, by deducting the first equation from the second equation, we can remove the y term:

(6x + 2y) - (2x + 3y) = 12 - 18

6x + 2y - 2x - 3y = -6

4x - y = -6

4x - y = -6

y = 4x + 6

At this point, we can add this expression for y to one of the initial equations. Let's employ the first equation:

2x + 3(4x + 6) = 18

2x + 12x + 18 = 18

14x + 18 = 18

14x = 0

x = 0

Replacing x = 0 in the equation y = 4x + 6 now:

y = 4(0) + 6

y = 6

Thus, x = 0 and y = 6 are the answers to the system of equations. The system's two equations are satisfied at the location (0, 6). Basketball or baseball in option D is 5/6, or approximately 0.8333.

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Answer:

Option D, (0,6)

Step-by-step explanation:

took the test xx

Pentagon
apothem = 7.3
side = 10.6
i need help immediately please help me show work

Answers

Answer:

Sure, I can help you with that!

To find the area of a regular pentagon, we can use the formula:

Area = (1/2) x apothem x perimeter

where apothem is the distance from the center of the pentagon to the midpoint of any side, and perimeter is the total length of all the sides.

So, to find the area of your pentagon, we can first calculate the perimeter:

Perimeter = 5 x side

Perimeter = 5 x 10.6

Perimeter = 53

Now, we can plug in the values for apothem and perimeter into the formula:

Area = (1/2) x apothem x perimeter

Area = (1/2) x 7.3 x 53

Area = 193.45

Therefore, the area of your pentagon is approximately 193.45 square units.

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In circle P, if mQR = 80 , and m QRT = 39 , find each measure

Answers

In circle P, if m(QR) = 80 , and m(QRT) = 39 , m(QPR) = 39 and m(PT) = 78

Based on the information given, we know that:

- m(QR) = 80 (this is the measure of arc QR)
- m(QRT) = 39 (this is the measure of angle QRT)

To find the other measures, we can use the following formulas:

- The measure of a central angle is equal to the measure of its intercepted arc
- The measure of an inscribed angle is half the measure of its intercepted arc

Using these formulas, we can find the measure of angle QPR and the measure of arc PT as follows:

- m(QPR) = m(QRT) = 39 (since angle QRT and angle QPR intercept the same arc QR)
- m(PT) = 2 * m(QRT) = 78 (since angle QRT and angle PQT intercept the same arc PT, and the measure of an inscribed angle is half the measure of its intercepted arc)

So the final answers are:

- m(QR) = 80
- m(QRT) = 39
- m(QPR) = 39
- m(PT) = 78

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Determine the minimum and maximum value of the following trigonometric function.


f(x)=10sin(2/5x)+5

Answers

The minimum value of the function is -5 and the maximum value of the function is 15.

The minimum and maximum value of the given trigonometric function f(x)=10sin(2/5x)+5 can be determined by analyzing the amplitude and period of the sine function. The amplitude of the sine function is 10, which means that the maximum value of the function is 10+5=15 and the minimum value is -10+5=-5.

The period of the sine function is given by 2π/2/5=5π. This means that the function completes one full cycle every 5π units. To find the minimum and maximum values of the function, we need to evaluate it at the critical points of the function, which occur at intervals of 5π.

At x=0, the function has a value of 5+10sin(0)=15, which is the maximum value of the function. At x=5π/2, the function has a value of 5+10sin(2π/5)=5, which is the minimum value of the function.

At x=[tex]5π[/tex], the function has a value of 5+10sin(4π/5)=-5, which is the maximum value of the function. At x=15π/2, the function has a value of 5+10sin(6π/5) =5, which is the minimum value of the function.

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Tyler rides his bike from his house to his cousin's house. He bikes a total of 1.8 kilometers to get there and back. What is the distance, in meters, between Tyler's house and his cousin's house?

Answers

Answer:

Step-by-step explanation:

Total of rides from Tyler's house to Cousin's house and Cousin's house to Tyler's house = 1.8km = 1800m

So, the distance from Tyler's house to his cousin's house is

= 1800m ÷ 2 = 900m

_ x 10 = 3 1/2
what is in the blank help me pls

Answers

Answer:

x = 0.35

Step-by-step explanation:

We Know

x · 10 = 3 1/2

Find the missing number.

3 1/2 = 7/2 = 3.5

x · 10 = 3.5

x = 0.35

So, the answer is 0.35.

X•10=3 1/2
3 1/2 divided by 10 is 0.35
=0.35

The S&P stock Index fell by an average of 8% each day. Write an equation or function that models the data

Answers

If the S&P stock index fell by an average of 8% each day, we can model the

data using exponential decay. Let P represent the initial value of the S&P

stock index and t represent the number of days. Then, the equation for the

S&P stock index after t days is:

[tex]P(t) = P * (0.92)^t[/tex]

Here, 0.92 represents the daily decay factor, which is derived from

subtracting 8% from 100% (100% - 8% = 92%). As each day passes, the

value of P(t) decreases exponentially by a factor of 0.92.

It's important to note that this equation assumes that the S&P stock index

falls by exactly 8% each day, which may not be a realistic scenario in real

life. Additionally, this equation only models the decay of the S&P stock

index value and does not take into account any external factors that may

affect its value.

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Which axis is point 5 located on?

Answers

Point 5 is located on the x-axis (horizontal one)

In which axis is the point 5 located on?

On a general coordinate axis we have two axes.

The vertical one is called the y-axis, and here we put the outputs.

The horizontal one is called the x-axis, here we put the inputs.

Here we can see that point 5 (P5) is located on the horizontal axis, then the correct option is the first one, x-axis.

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A shipping company uses baggage tags with 3-letter city codes. The first and third letters of each code are always consonants and the middle letter is always a vowel (CVC). The English language uses 21 consonants and 5 vowels. How many different combinations of tag codes are possible? I will give brainliest to the best



(A) 105


(B)441


(C) 1,638


(D)2,205

Answers

The correct answer is (D) 2,205.

How to calculate the number of different combinations of baggage tag codes for a shipping company?

To calculate the number of different combinations of tag codes, we need to consider the possible options for each position in the code.

For the first and third positions (consonants), we have 21 options for each position since there are 21 consonants in the English language.

For the middle position (vowel), we have 5 options since there are 5 vowels in the English language.

Therefore, the total number of different combinations is calculated by multiplying the number of options for each position:

21 (consonant options) * 5 (vowel options) * 21 (consonant options) = 2,205

Therefore, the correct answer is (D) 2,205.

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a school has 475 students.If the ratio of girls to boys is 2:3, how many boys are there?

Answers

Answer:

2x + 3x = 475

= 5x = 475

= x = 475/5

= x = 95

Answer:

285 boys

Step-by-step explanation:

2 + 3 = 5

475/5=95

Girls: 2 x 95= 190

Boys: 3 x 95 = 285

Check

285 + 190= 475

In 2003 the social security tax rate was 6. 2% and the maximum taxable income was $87,000. 0. If Linda earned $54,122, how much did she contribute to social security?

Answers

Linda contributed $3,355.56 to social security in 2003.

The Social Security tax is a payroll tax that is deducted from employees' paychecks to help fund the Social Security program, which provides retirement, disability, and survivor benefits to eligible individuals.

The Social Security tax rate is typically 6.2% for employees and employers, and the maximum amount of taxable earnings is determined each year by the Social Security Administration (SSA).

In 2003, the maximum taxable earnings was $87,000. This means that any earnings above $87,000 were not subject to Social Security taxes.

To calculate Linda's contribution to social security in 2003, we will use the given social security tax rate of 6.2% and her income of $54,122.

Convert the tax rate percentage to a decimal by dividing by 100.
6.2% / 100 = 0.062

Multiply Linda's income by the decimal tax rate.
$54,122 * 0.062 = $3,355.56

Linda contributed $3,355.56 to social security in 2003.

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In circle m, secants pamd and pbc are drawn from point p such that mbc = 100 and mcd = 62°. which
of the following is the measure of p?
(1) 19
(2) 22
(3) 34
(4) 40

Answers

In the circle, the measure of p is 34 (option 3).

First, we know that angle MBC is an exterior angle to triangle PBC. Therefore, the measure of angle PBC is equal to the sum of angles MBC and MCB, which is 100 + (1/2)(angle MCP) = 100 + (1/2)(angle MQP).

Similarly, angle MCD is an exterior angle to triangle PCD. Therefore, the measure of angle PDC is equal to the sum of angles MCD and MDC, which is 62 + (1/2)(angle MPQ) = 62 + (1/2)(angle MQP).

Since angle PBC and angle PDC are both subtended by the same arc BC, they are equal. Therefore, we can set the expressions for these angles equal to each other and solve for angle MQP:

100 + (1/2)(angle MQP) = 62 + (1/2)(angle MQP)

38 = (1/2)(angle MQP)

angle MQP = 76 degrees

Finally, we can use the fact that angles MPQ and MQP form a linear pair, so they add up to 180 degrees. Therefore, angle MPQ is 180 - 76 = 104 degrees.

Since angle MPQ is an exterior angle to triangle PAB, we can use the exterior angle theorem to find the measure of angle P, as follows:

angle P = angle MPQ + angle PAB = 104 + 100 = 204 degrees

However, angles in a circle cannot be greater than 180 degrees, so we need to subtract 180 from angle P to get the actual measure of angle P:

angle P = 214 - 180 = 34 degrees

Therefore, the answer is option (3).

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determine the ordered pairs of....
[tex]6x - y > - 3[/tex]
and
[tex]4x + 3y < 4[/tex]

Answers

The ordered pairs of the system of inequalities are (1, 0) and (0, -5)

Determining the ordered pairs of the system of inequalities

From the question, we have the following parameters that can be used in our computation:

6x - y > -3

4x + 3y < 4

The above expression is a system of linear inequality

That implies that we graph the inequalites in the system on the same plane and write out ordered pairs from the region that represent the solution of the system

Next, we plot the graph

See attachment for the graph of the inequality

The ordered pairs are (1, 0), (0, -5) and other pairs

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Twenty-four pairs of adult brothers and sisters were sampled at random from a population. The difference in heights, recorded in inches (brother’s height minus sister’s height), was calculated for each pair. The 95% confidence interval for the mean difference in heights for all brother-and-sister pairs in this population was (–0. 76, 4. 34). What was the sample mean difference from these 24 pairs of siblings?



–0. 76 inches


0 inches


1. 79 inches


4. 34 inches

Answers

The sample mean difference from these 24 pairs of siblings is 1.79 inches.

To find the sample mean difference from these 24 pairs of siblings, you can use the given 95% confidence interval for the mean difference in heights, which is (-0.76, 4.34).

The sample mean difference is the midpoint of the confidence interval. To calculate this, add the lower bound (-0.76) and the upper bound (4.34) of the confidence interval, and then divide by 2:

(-0.76 + 4.34) / 2 = 3.58 / 2 = 1.79 inches

So, the sample mean difference from these 24 pairs of siblings is 1.79 inches.

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Pablo mixed
2
1
2
quarts of fruit juice with
1
gallon of seltzer. If each serving is
8
fluid ounces, how many servings did Pablo make?

A. 20
B. 26
C. 32
D. 36

Answers

The number of servings did Pablo make is (B) 26.

What is Unit conversion:

Unit conversion is the process of converting a value expressed in one unit of measurement to another unit of measurement that represents the same quantity but is expressed in a different unit.

The given quantities are in different units, so we need to convert them to a common unit to determine the number of servings. For this, we need to convert quarts and gallons to fluid ounces.

Here we have

Pablo mixed 2 1/2 quarts of fruit juice with 1 gallon of seltzer.  

Each serving is 8 fluid ounces

Let's first convert the quantities to the same units.

=> 1 gallon = 4 quarts

Total amount of liquid = 2 1/2 + 4 = 6 1/2 quarts

Now, let's find how many 8-ounce servings are in 6 1/2 quarts:

=> 1 quart = 32 fluid ounces

=> 6 1/2 quarts = 6.5 x 32 = 208 fluid ounces

Given that, 1 serving = 8 fluid ounces

Number of servings = 208/8 = 26

Therefore,

The number of servings did Pablo make is (B) 26.

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Complete Question:

Pablo mixed 2 1 /2 quarts of fruit juice with 1 gallon of seltzer. If each serving is 8 fluid ounces, how many servings did Pablo make?

A: 20    B: 26     C: 32    D: 36

21. The population of a small town is 15,000. If the population is growing
by 5% per year, how long will it take for the population to reach 25,000?

Answers

It will take the population 10.5 years to reach 25,000

How long will it take for the population to reach 25,000?

From the question, we have the following parameters that can be used in our computation:

Inital population, a = 15000

Rate of increase, r = 5%

Using the above as a guide, we have the following:

The function of the situation is

f(x) = a * (1 + r)ˣ

So, we have

f(x) = 15000 * (1 + 5%)ˣ

When it reaches 25000, we have

15000 * (1 + 5%)ˣ = 25000

Divide both sides by 15000

(1 + 5%)ˣ = 1.67

Take the logarithm of both sides

x = log(1.67)/log(1 + 5%)

Evaluate

x = 10.5

Hence, the number of years is 10.5

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Nora signed up for a streaming music service that costs $5 per month. The service allows Nora to listen to unlimited music, but if she wants to download songs for offline listening, the service charges $0. 75 per song. How much total money would Nora have to pay in a month in which she downloaded 30 songs? How much would she have to pay if she downloaded ss songs?



cost of 30 songs:


cost of s songs:

Answers

Nora would have to pay a total of $5 + $0.75s in a month when she downloaded "s" songs.

The cost for downloading 30 songs would be:

$0.75 per song × 30 songs = $22.50

Therefore, Nora would have to pay a total of $5 + $22.50 = $27.50 in a month when she downloaded 30 songs.

If she downloaded "s" songs, the cost would be:

$0.75 per song × s songs = $0.75s

Therefore, Nora would have to pay a total of $5 + $0.75s in a month when she downloaded "s" songs.

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From a Word Problem
Jack has $10 in his lunch account. He plans to
spend $2 a week on snacks. How long until
Jack's lunch account reaches zero?

Answers

Answer:

Sure, here's the solution to the word problem:

Jack has $10 in his lunch account and plans to spend $2 a week on snacks. To find out how long it will take his lunch account to reach zero, we can divide the total amount of money in his account by the amount he spends each week.

```

$10 / $2 = 5 weeks

```

Therefore, it will take Jack 5 weeks to spend all of the money in his lunch account.

Here's another way to solve the problem:

We can also set up an equation to represent the situation. Let x be the number of weeks it takes Jack's lunch account to reach zero. We know that Jack starts with $10 and spends $2 each week, so we can write the equation:

```

$10 - $2x = 0

```

Solving for x, we get:

```

x = 5

```

Therefore, it will take Jack 5 weeks to spend all of the money in his lunch account.

Answer:

in 5 weeks he will have 0$ in his account

Step-by-step explanation:

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