Sara invested $1,500 in a bond at a simple at a simple interest rate of 3%

Answer:

1920 cm^3

Step-by-step explanation:

The formula for volume is length x width x height. The length is 20 cubes, the width is 12 cubes, and the height is 8 cubes. You would multiply 20 x 12 x 8 to get 1920.

The cm^3 is important as well as it indicates a volume. Each cube is 1 centimeter and you're multiplying 3 centimeter values (20,12, and 8) by each other so the final answer would be 1920 cm^3.

Answer:

x+35

Step-by-step explanation:

Answer:

P = 6200 / (1 + 5.2e^(0.0013t))

increases the fastest

Step-by-step explanation:

dP/dt = 0.0013 P (1 − P/6200)

Separate the variables.

dP / [P (1 − P/6200)] = 0.0013 dt

Multiply the left side by 6200 / 6200.

6200 dP / [P (6200 − P)] = 0.0013 dt

Factor P from the denominator.

6200 dP / [P² (6200/P − 1)] = 0.0013 dt

(6200/P²) dP / (6200/P − 1) = 0.0013 dt

Integrate.

ln│6200/P − 1│= 0.0013t + C

Solve for P.

6200/P − 1 = Ce^(0.0013t)

6200/P = 1 + Ce^(0.0013t)

P = 6200 / (1 + Ce^(0.0013t))

At t = 0, P = 1000.

1000 = 6200 / (1 + C)

1 + C = 6.2

C = 5.2

P = 6200 / (1 + 5.2e^(0.0013t))

You need to change the exponent from negative to positive.

The inflection points are where the population increases the fastest.

hi there! heres my answer for you...

Answer:

you started at (-5, 4)

Step-by-step explanation:

do what the instructions given said but in reverse. so move up 7 units and move back down 1 unit and you will find where you started.

hope this helps. have a good one!

The coordinate of the point from where we started will be (1, -2).

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

You move up 1 unit and down 7 units. You end at (-5, -2).

Let the initial coordinate be (x, y). Then the transformation is written as,

(-5, -2) → (x + 1 - 7, y)

Compare the abscissa, then we have

- 5 = x + 1 - 7

x = - 5 - 1 + 7

x = 1

Compare the ordinate, then we have

y = -2

Then the coordinate of the point from where we started will be (1, -2).

More about the transformation of a point link is given below.

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Answer: Trigonometric equations are, as the name implies, equations that involve trigonometric functions. Similar in many ways to solving polynomial equations or rational equations, only specific values of the variable will be solutions, if there are solutions at all. Often we will solve a trigonometric equation over a specified interval. However, just as often, we will be asked to find all possible solutions, and as trigonometric functions are periodic, solutions are repeated within each period. In other words, trigonometric equations may have an infinite number of solutions. Additionally, like rational equations, the domain of the function must be considered before we assume that any solution is valid. The period of both the sine function and the cosine function is \displaystyle 2\pi2π. In other words, every \displaystyle 2\pi2π units, the y-values repeat. If we need to find all possible solutions, then we must add \displaystyle 2\pi k2πk, where \displaystyle kk is an integer, to the initial solution. Recall the rule that gives the format for stating all possible solutions for a function where the period is \displaystyle 2\pi :2π:

\displaystyle \sin \theta =\sin \left(\theta \pm 2k\pi \right)sinθ=sin(θ±2kπ)

There are similar rules for indicating all possible solutions for the other trigonometric functions. Solving trigonometric equations requires the same techniques as solving algebraic equations. We read the equation from left to right, horizontally, like a sentence. We look for known patterns, factor, find common denominators, and substitute certain expressions with a variable to make solving a more straightforward process. However, with trigonometric equations, we also have the advantage of using the identities we developed in the previous sections.

Answer:

239

Step-by-step explanation:

[tex]120^2-119^2\\=(120+119)(120-119)\ [a^2-b^2=(a+b)(a-b)]\\=239[/tex]

Answer:

[tex] T = 5l + 2c [/tex]

Step-by-step explanation:

Lemonade = l pence per cup.

Cost of 5 cups of Lemonade = [tex] 5 \times l = 5l [/tex]

Chocolate bar = c pence per bar

Cost of 2 Chocolate bars = [tex] 2 \times c = 2c [/tex]

Total cost (T) = Cost of 5 cups of Lemonade + Cost of 2 Chocolate bars

✔️The formula for the total cost would be:

[tex] T = 5l + 2c [/tex]

Answer:

1.1

Step-by-step explanation:

6-4.9=1.1

Hope I helped!

Please mark Brainliest!!!

Answer:

1.1

Step-by-step explanation:

it's easy you just subtract.

Answer:

C

Step-by-step explanation:

8 divided by 9 = 0.8888...

Answer:

100s

Step-by-step explanation:

Answer:

C. Both Functions Have a y-intercept of -2

Step-by-step explanation:

In Function F it shows us that it has a y-intercept of -2, and in the equation of Function G it shows us that you would subtract 2 out of what the initial value would be:

(3 x 0 = 0)

0 - 2 would be -2 so it would have a y-intercept of -2.

Answer:

-2

Step-by-step explanation:

You plug the values in. 2(2)-3=1, and 2(3)-3=3

1-3=-2

Hope I helped!

Answer:

[tex]b=2[/tex]

Step-by-step explanation:

We know that the line passes through the point (16, -10).

And we also know that it is parallel to [tex]y=-\frac{3}{4}x+8[/tex]

Notice that the slope of this line is -3/4

Remember that parallel lines have the same slope.

Therefore, the slope of our new line is also -3/4

Now, we can use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is a point.

So, let’s substitute -3/4 for m and (16, -10) for (x₁, y₁). This yields:

[tex]y-(-10)=-\frac{3}{4}(x-16)[/tex]

Distribute:

[tex]y-(-10)=-\frac{3}{4}x+12[/tex]

Simplify:

[tex]y+10=-\frac{3}{4}x+12[/tex]

Subtract 10 from both sides:

[tex]y=-\frac{3}{4}x+2[/tex]

This is in the form y=mx+b.

Therefore, our b is 2.

And our final answer is 2.

Answer: 5 minutes

Step-by-step explanation:

a. Jason's mother to catch him after time of 5minutes.

b. Jason biked for distance of 3miles when his mother catches him.

c.  Mother has to drive with speed of 60mph to catch him at the school door, if Jason's school is 2.5 miles from his apartment.

" Speed is defined as the total distance travelled per unit time."

Formula used

[tex]Speed = \frac{total distance travelled}{total time taken}[/tex]

According to the question,

Speed of Jason bike = 12mph

1hour = 12miles

60minutes = 12miles

1minutes = [tex]\frac{12}{60}[/tex] miles

Speed of Jason's mother bike = 36mph

Time after mother found the homework = 10 minutes

After 10 minutes

Jason is at distance =  [tex]\frac{12}{60} (10)[/tex]

                                 =2miles

After 15 minutes = [tex]\frac{12}{60} (15)[/tex]

                            = 3miles

To cover three miles mother has to drive for

1hour = 36miles

60minutes = 36miles

1miles = [tex]\frac{60}{36}[/tex] minutes

3miles = [tex]\frac{60}{36} (3)[/tex]

           = 5minutes    

If Jason's school is 2.5 miles from his apartment,

Time taken by Jason to reach school door = [tex]\frac{2.5}{12.5} (60)[/tex] minutes

                                                                        = 12.5 minutes

Time in which mother has to cover distance of 2.5miles

= [tex](12.5-10)[/tex]minutes

= 2.5minutes

Substitute the value in the formula we get,

Speed of mother's bike =  [tex]\frac{2.5}{2.5} (60)[/tex] mph

                                       = 60mph

Hence,  

a. Jason's mother to catch him after time of 5minutes.

b. Jason biked for distance of 3miles when his mother catches him.

c.  Mother has to drive with speed of 60mph to catch him at the school door, if Jason's school is 2.5 miles from his apartment.

Learn more about speed here

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Answer:

im not sure if this is rite

Step-by-step explanation:

jason=a+22

ann=a

a+22+4=2a+4

a+26=2a+4

a=22

Answer:

4 3/4

Step-by-step explanation:

cueluisghvreiuasghfe;ahfuiealw

Answer:

Step-by-step explanation:

[tex]4\frac{3}{4}[/tex] - [tex]\frac{1}{3}[/tex] = [tex]4\frac{9-4}{12}[/tex] = [tex]4\frac{5}{12}[/tex] feet

Answer:

(3,-6)

Step-by-step explanation:

  [1]    x - 2y = 15

  [2]    2x + 4y = -18

Graphic Representation of the Equations :

   -2y + x = 15        4y + 2x = -18  

Solve by Substitution :

// Solve equation [1] for the variable  x

 [1]    x = 2y + 15

// Plug this in for variable  x  in equation [2]

  [2]    2•(2y+15) + 4y = -18

  [2]    8y = -48

// Solve equation [2] for the variable  y

  [2]    8y = - 48

  [2]    y = - 6

// By now we know this much :

   x = 2y+15

   y = -6

// Use the  y  value to solve for  x

   x = 2(-6)+15 = 3

Solution :

{x,y} = {3,-6}

Answer:

The slope of the two points is 2. (8/4)

Answer:

The slope of the two points is 2. (8/4)

Step-by-step explanation:

thats it

Answer:

d. have same slope

Step-by-step explanation:

Answer:

14,621 lbs.

Step-by-step explanation:

It says at the beginning of the question that the school district collected 14,621 lbs. of recycling. The part where it says that the school district collected 3,943 lbs. of recycling more than last year is un-needed information.

Answer:

a = -2

h = -1

k = -6

Step-by-step explanation:

This is called the vertex form of a quadratic:

y = a(x – h)2 + k

To arrive at the answer, simply locate where each variable would be in place of the number.

I hope this helped you! If it did, please consider rating, pressing thanks, and marking my answer as Brainliest. It would be a big help! Have a great day! :)

Answer:

63,630,000 tons not recovered

Step-by-step explanation:

Paper generated = 71,310,000 tons

Paper recovered = 44,570,000 tons

Glass generated = 11,530,000 tons

Glass recovered = 3,130,000 tons

Plastics generated = 31,040,000 tons

Plastics recovered = 2,550,000 tons

Total generated = 113,880,000 tons

Total recovered = 50,250,000 tons

113,880,000 - 50,250,000 = 63,630,000 tons not recovered

Answer:

Graph A

Step-by-step explanation:

3x+y=5

y=-3x+5

4x-y=2

-y=-4x+2

4=2x-2

Answer: He still has to mow 45 lawns, or 75% of the lawns before he is finished.

Answer:

.68.0314 m/s

.42.272752125mph

68.0314km/h

Step-by-step explanation: