Ask question

Ask question

All categories

3 years ago

10

A ride-share driver completed 6 trips and was paid a flat fee of $90, not including any tips. At this rate, how many trips must

be completed to be paid a total of $225?

Advanced Placement (AP)

1 answer:

stepan [7]3 years ago

3 0

It would take 15 trips. 90 divided by 6 is 15. Take that 15 and divide 225 which leaves you with 15

You might be interested in

1. The rate at which people enter a movie theater on a given day is modeled by the function S defined by S(t) = 80 -12 cos 6 The

Arlecino [84]

Hi there!

a.

To find the total amount of people that have ENTERED by t = 20, we must take the integral of the appropriate function.

$\text{Amount that entered} = \int\limits^{20}_{10} {S(t)} \, dt \\\\ = \int\limits^{20}_{10} {80 - 12cos(\frac{t}{5})} \, dt$

Evaluate using a calculator:

$= 899.97 \approx \boxed{900\text{ people}}$

b.

To solve, we can find the total amount of people that have entered of the interval and subtract the total amount of people that have left from this value.

In other terms:
$\text{Amount of people} = \int\limits^{20}_{10} {S(t)} \, dt - \int\limits^{20}_{10} {R(t)} \, dt$

We can evaluate using a calculator (math-9 on T1-84):

$\text{\# of people} = \int\limits^{20}_{10} {80-12cos(\frac{t}{5})} \, dt - \int\limits^{20}_{10} {12e^{\frac{t}{10}}+20} \, dt$

$= 899.97 - 760.49 = 139.47 \approx \boxed{139 \text{ people}}$

c.

If:
$P(t) = \int\limits^t_{10} {S(t) - R(t)} \, dt$

Then:

$\frac{dP}{dt} = P'(t)= \frac{d}{dt}\int\limits^t_{10} {S(t) - R(t)} \, dt = S(t) - R(t)$

Evaluate at t = 20:

$S(20) = 80 - 12cos(\frac{20}{5}) = 87.844\\\\R(20) = 12e^{\frac{20}{10}} + 20 = 108.669$

$S(20) - R(20) = 87.844 - 108.669 = -20.823$

This means that at t = 20, there is a <u>NET DECREASE</u> of people at the movie theater of around 20.823 (21) people per hour.

d.

To find the maximum, we must use the first-derivative test.

Set S(t) - R(t) equal to 0:

$80 - 12cos(\frac{t}{5}) - 12e^{\frac{t}{10}} - 20 = 0\\\\60 - 12(cos(\frac{t}{5}) + e^{\frac{t}{10}})= 0$

Graph the function with a graphing calculator and set the function equal to y = 0:

According to the graph, the graph of the first derivative changes from POSITIVE to NEGATIVE at t ≈ 17.78 hours, so there is a MAXIMUM at this value.

<u>Thus, at t = 17.78 hours, the amount of people at the movie theater is a MAXIMUM.</u>

8 0

2 years ago

If a family falls below _____, they are considered to be living in poverty.

Dmitry [639]

<span>D. the poverty threshold. This differs based on geography (certain areas of the country are more expensive to live in than others) and family size.</span>

5 0

3 years ago

Read 2 more answers

What impact does gerrymandering have on a democracy?

olga55 [171]

Answer:

Two principal tactics are used in gerrymandering: "cracking" (i.e. diluting the voting power of the opposing party's supporters across many districts) and "packing" (concentrating the opposing party's voting power in one district to reduce their voting power in other districts). Gerrymandering means to draw congressional districts to the advantage of the political party that controls the State's legislature. This is a tactic that does not give equal representation to minority groups in the Congress.

Explanation:

hope this helps :D pls mark brainliest :D

4 0

2 years ago

How do we calculate an appropriate test statistic in a test for a population proportion

spin [16.1K]

Answer:

The basic procedure is:

State the null hypothesis H0 and the alternative hypothesis HA.

Set the level of significance .

Calculate the test statistic: z = p ^ − p o p 0 ( 1 − p 0 ) n.

Calculate the p-value.

Make a decision. Check whether to reject the null hypothesis by comparing p-value to

Explanation:

Hope it helps

8 0

3 years ago

If y = 3x^3 - 2x and dx/dt equals 3 , find dy/dt when x = -2. Give only the numerical answer.

elena-14-01-66 [18.8K]

Dx/dt=3
y=3x^3-2x
dy/dt=(9x^2)(dx/dt)-2(dx/dt)
When x= -2
dy/dt=(9(-2)^2)(3)-2(3)
=36(3)-6
=102

5 0

3 years ago