Calculate the a) future value of the annuity due, and b) total interest earned. (From Example 2)
2. Jay Smith deposited $5,000 into an annuity due at the beginning of each quarter for 3 years at 6%
compounded quarterly.

Answer:

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

answer is this in decimal form if this is what ur looking for 4.21900462…

hope it helps....

Answer:

17.8

Step-by-step explanation:

Answer:

1000

Step-by-step explanation:

50 × 11 + 50 × 9 ← factor out 50 from each term

= 50(11 + 9)

= 50(20)

= 1000

The statements can be completed by using the following :

1) -2 is multiplied with (5x+8)

2)  transposing of numeral values and variable values

3) The numerical values are taken one side and added to each other

4) 30 is divided by -16

5) The numerator and denominator are cancelled to the lowest possible value

x= -15/8

Given:  -2(5x+8)=14+6x  

and steps for solving them have also been given

In the first step, -2 is multiplied with (5x+8) and we get

-10x -16 = 14 +6x

In step 2, transposing of numeral values and variable values is done and we get -16x - 16 = 14

In step 3,

The numerical values are taken one side and added to each other and we get -16x=30

In step 4, 30 is divided by -16

In step 5, they are cancelled to the lowest possible value and we get

x= -15/8

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Answer:

5m4n3 and 15m2n2

Step-by-step explanation:

you just have to find the 2 that each are divisible by 5m2n2, which are 5m4n3 and 15m2n2.

The probability that both are red marbles is 0.2391

The given parameters are:

Red =12

Blue = 12

Total = 24

The probability of selecting the first red marble :

P(Red) = 12/24

Now, there are 11 red marbles and 23 marbles in all

The probability of selecting the second red marble :

P(Red) = 11/23

The required probability is:

P =  12/24 * 11/23

Evaluate

P = 0.2391

Hence, the probability that both are red marbles is 0.2391

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The number best represents the slope of the graphed line is 1/2.

We have given the two points,

(-6,-7) and (4,-2) and slope-intercept is 8 units

[tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]

y = y coordinate of the second point

[tex]y_1[/tex] = y coordinate of point one

m = slope

x = x coordinate of the second point

[tex]x_{1}[/tex]= x coordinate of point one

Therefore the

[tex]slope=\frac{y_2-y_1}{x_2-x_!}[/tex]

[tex]=\frac{-2-(-7)}{4-(-6)} \\=\frac{5}{10}\\ =\frac{1}{2}[/tex]

Therefore the correct option is 1/2.

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Answer:

8

Step-by-step explanation:

It's 7 rows of 8 items

Answer:

Step-by-step explanation:

Comment

The angle supplementary to x and 3x are equal.

Supplementary angles = 180

Solution

x + 3x = 180

4x = 180                  Divide by 4

4x/4 = 180/4

x = 45

The angle supplementary to x is 3x

3x = 3*45

3x = 135

This angle is vertically opposite y. Vertically opposite angles are equal. So  y = 135

Answer

x = 45

y = 135

Graphs are used to show the relationship between variables, where the variables are represented by a pair of axes.

The domain of the function is t ≥ 0

The greatest concentration of the medication is 5mg/L

Given that:

C(t) = [tex]\frac{-8t^2 + 56t}{t^2 +3t + 2}[/tex]

(a): The domain of the function

Because the medication concentration C(t) is a function of time (t), the domain is the possible values t can take.

t, cannot take negative values (i.e. it is not possible to have a negative time).

The least possible value of t is 0

So, the domain of the function based on the context is: t ≥ 0

(b) The greatest concentration of the medication

From the graph (see attachment), the maximum y-value is 5.

Hence, the greatest concentration of the medication is 5 mg/L

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The triangles are not similar as the ratios are different.

ΔXYZ

XY = 1.5, XZ = 1, ZY = 2

Δ QSR

QR =1, RS = 1.5, SQ = 0.5

Ratios:

XY/SQ = 1.5/0.5

XZ/QR = 1/1  

ZY/RS = 2/1.5

The answer is no because ratios are different

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Answer:

384 units²

Step-by-step explanation:

The area of one face is (8)(8)=64.

Multiplying this by the six faces, we get 64(6)=384

Answer:

67.13°

Step-by-step explanation:

First separate triangles then you use Pythagoras theorem to get the third side and then apply the sine rule

The graph of the function is shown in the attached image.

Answer: 10%

Step-by-step explanation:

She had a total of $16,800. Subtracting the $5700 standard deduction and the $3650 exemption, we get:

[tex]16800-5700-3650=7450[/tex]

Which falls within the 10% tax bracket.

[tex]x+y\leq 80[/tex]

[tex]7x+4y=1000[/tex]

The number of burgers = [tex]x[/tex]

the number of pizzas = [tex]y[/tex]

the cost of each burger = $[tex]7[/tex]

the cost of each pizza = $[tex]4[/tex]

not more than 80 items: [tex]x+y\leq 80[/tex]

total price =[tex]7x+4y=1000[/tex]

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Answer:

All real numbers greater than or equal to 2.

Step-by-step explanation:

To find the range, we look at the y values. Since all the y values never dip under 2 and also keep increasing to infinity, the range is [tex]y\geq 2[/tex].

Answer:

all real numbers greater than or equal to 2

Step-by-step explanation:

Edge

The slope of the line is

[tex]\frac{-3-1}{6-3}=\frac{-4}{3}[/tex]

Substituting into point-slope form using the point (3,1),

[tex]\boxed{y-1=-\frac{4}{3}(x-3)}\\\\y-1=-\frac{4}{3}x+4\\\\\boxed{y=-\frac{4}{3}x+5}[/tex]

Answer: The equation of the line that passes through (6,- 3) and (3,1) is  y = [tex]\frac{-4x}{3}[/tex] +5.

Step-by-step explanation:

Point-slope formula : (y - y1) = m(x - x1)

y = y coordinate of second point

y1     = y coordinate of first point

m = slope

x = x coordinate of second point

x1     = x coordinate of first point

slope (m) = [tex]\frac{1-(-3)}{3-6}[/tex]

          m = [tex]\frac{4}{-3}[/tex] or [tex]\frac{-4}{3}[/tex]

now put values in point-slope formula  : (y - 1) = [tex]\frac{-4}{3}[/tex](x - 3)

y - 1 = [tex]\frac{-4x}{3\\}[/tex] + 4

y = [tex]\frac{-4x}{3}[/tex] +5

So the equation of the line that passes through (6,- 3) and (3,1) is y = [tex]\frac{-4x}{3}[/tex]+5.

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Answer:

C. 9

Step-by-step explanation:

y(x+x) +3

{x= 1 , y= 3}

Putting values..

3 (1+1) +3

= 3 (2) +3

= 6 + 3

= 9

So, the option C. 9 is the correct answer.

Let's take this problem step-by-step:

First let's set up the equation for the cost for one week of renting the car

              [tex]charge = 230[/tex]

              [tex]charge = 230 + 0.25x[/tex]

The total cost was 415, therefore:

             [tex]415 =230 + 0.25x\\185 = 0.25x\\x = 740[/tex]

Therefore, you traveled 740 miles

Answer: 740 miles

Hope that helps!

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Answer:

JN = 32

Step-by-step explanation:

Δ JMN and Δ JKL are similar ( AA postulate )

then the ratios of corresponding sides are in proportion, that is

[tex]\frac{JM}{JK}[/tex] = [tex]\frac{JN}{JL}[/tex] ( substitute values )

[tex]\frac{24}{33}[/tex] = [tex]\frac{JN}{JN+12}[/tex]

[tex]\frac{8}{11}[/tex] = [tex]\frac{JN}{JN+12}[/tex] ( cross- multiply )

11 JN  = 8(JN + 12)

11 JN = 8 JN + 96 ( subtract 8 JN from both sides )

3 JN = 96 ( divide both sides by 3 )

JN = 32

Answer:

a) quantitative - continuous

b) qualitative

c) quantitative - discrete

d) quantitative - discrete

Explanation:

A qualitative variable describes an object or its property without counting or measuring. Therefore it does not include any numbers.

A quantitative variable is one which results from counting or measuring a property of an object or situation. If the variable arises from counting, it is called discrete, and if it arises from any measurement, it is called continuous.

Answer:

width is 30, and the length 69.

Step-by-step explanation:

In order to do this, we need to do ALGOOBRAA

lets say x is equal to the width of the room

then, that means the length is (9+2x) Sooooo,

198=2x+2(9+2x)

Using the distributive property, we know that

2(9+2x)=18+4x

If you dont know what that is, then go search it up :/

so,

198=2x+18+4x

198=6x+18

180=6x

30=x

BAM

Now, we know that the width is 30, bro.

That means the length is 60+9, Which is 69.

Therefore, the width is 30, and the length 69.

Sry if im wrong btw.

The width of rectangle is 30, and the length is 69.

A rectangle is a quadrilateral. The opposite sides of a rectangle are equal and parallel to each other. The interior angle of a rectangle at each vertex is 90°. The sum of all interior angles is 360°. The diagonals bisect each other.

Here, lets say x is equal to the width of the room

then, that means the length is (9+2x) So,

              198 = 2x+2(9+2x)

Using the distributive property, we know that

                 2(9+2x)=18+4x

If you don't know what that is, then go search it up :/

so,

               198 = 2x+18+4x

                198=6x+18

                 180=6x

                  30=x

Now, we know that the width is 30,

That means the length is 60+9, Which is 69.

Thus, the width of rectangle is 30, and the length is 69.

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The process of Graphing a exponential decay function is shown in detail below.

There are two types of exponential equations: exponential decay and exponential growth. The fundamental shape of an exponential function and its corresponding graphs must be understood in order to fully comprehend the distinctions between exponential growth and decay. The fundamental distinction between the two is that in an exponential decay connection, the output values rise quickly as the input value rises, but in an exponential growth relationship, the output rises noticeably faster as the input value rises. Furthermore, neither of the two functions is linear, hence their rate of change is not constant. What distinguishes one equation from the other when they both have the same precise form, y = abx?

The value of the constant "b" is the fundamental factor in deciding whether the exponential function is one of growth or decay:

In this way we can graph a exponential decay function

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Step-by-step explanation:

AREA OF SQUARE:

A square is simply a rectangle with equal sides. As a result, the length and breadth of a square are equal. As a result, the area of a square is the product of two square sides, or in simpler terms, squares of the side.

Area = Side^{2}Area=Side

2

We use the following formula to compute the area of a rectangle after being given the length and width of the rectangle as input.

ALGORITHM:

Step 1 : Start

Step 2: Input Side

Step 3: Area = Side \times× Side

Step 4: Print area

Step 5: Stop

Answer is 1832.7

step by step

z=kx^3 / y^3

167=27k/1000

k=16700/27

k=6185.2, then

z=6185.2×4^3/6^3

z=6185.2×64/216

z=1832.7

Step-by-step explanation:

both ends are going to the same direction so the degree is even. the right side is going up so the leading coefficient is positive.

The GDP of the country for 2014 is $5.3196 × 10⁸.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given the Gross Domestic of a country in the first quarter of 2014 was $1.3299×10⁸. Therefore, the GDP of the country for that year will be,

GDP = 4 × (Gross Domestic for a single quarter)

         = 4 × ($1.3299×10⁸)

         = $5.3196 × 10⁸

Hence, the GDP of the country for 2014 is $5.3196 × 10⁸.

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Answer:

11

Step-by-step explanation:

duh add 1 and 1 merge it together to get 11

that's a hard question imma go with 2 though

Step-by-step explanation:

for this problem let's let x=1 and y also =1 so x+y=2 hope this helps