Hannah filled her car at the gas station. She

I need help pls no wronge answers this is for a test

VashaNatasha [74]

Answer:

I think the answer is

Step-by-step explanation:

(D) OR (B)

4 0

3 years ago

Pearl's Biking Company manufactures and sells bikes. Each bike costs £40 to make, and the company's fixed costs are £5000. In ad

____ [38]

Answer:

R(x) =300·x - 2·x²

C(x) = £5000 + £40 × x

The break even points are 23.47 and 106.53 or 23 and 107 bikes

Step-by-step explanation:

Given that the price function P(x) = 300 -2·x

Cost per bike = £40

The revenue function R(x) is given by bike price × total number of bikes manufactured and sold

∴ R(x) = P(x)×x = (300 - 2·x)×x = 300·x - 2·x²

The company's cost function, C(x) is Fixed cost + cost to produce each bike × total number of bikes produced

∴ C(x) = £5000 + £40 × x

The break even point is given by the relation;

Total revenue - total cost = 0

That is, break even point is R(x) - C(x) = 0

300·x - 2·x² - (5000 + 40·x) = 0

-2·x²+260·x-5000 = 0 or 2·x²- 260·x + 5000 = 0

Factorizing, we have;

(x - (65 -5√69))(x - (65 +5√69))

Solving gives x = 23.47 or 106.53

Therefore, the break even points are 23.47 and 106.53.

That is the company is profitable when they produce less than 23 bikes or more than 107 bikes.

3 0

3 years ago

WHAT IS THE CORRECT VOCAB TERM FOR THE FOLLOWING DEFINITION:

yawa3891 [41]

I believe the term would be radicand

4 0

3 years ago

Read 2 more answers

The electrical charge on a metal plate is given

Katarina [22]

Answer:

after 10 seconds the charge is 1.624

Step-by-step explanation:

I think your question missed key information, allow me to add in and hope it will fit the orginal one.

The electrical charge on a metal plate is given by the function below, where t is the time in seconds. What is the charge after 10 seconds?

C (t) = 12 $e^{\frac{-t}{5} }$

My answer:

Given the information:

C (t) = 12 $e^{\frac{-t}{5} }$

when t =10 we have:

C (10) = 12 $e^{\frac{-10}{5} }$

<=> C (10) = 12 $e^{-2}$

<=> C (10) = 12 $\frac{1}{e^{2} }$

<=> C (10) = 12 * 0.1353

<=> C (10) = 1.624

Hence, after 10 seconds the charge is 1.624

8 0

3 years ago

Liam buys three identical plastic

liq [111]

The number of rectangular prism container that would be set on the shelf is: 4.

<h3>What is the Volume of a Rectangular Prism?</h3>

Volume of rectangular prism = length × width ×height

Given the following:

Volume of three containers = 135 in.³
Volume of each rectangular prism container = 135/3 = 45 in.³
One face = width × height = 4.5 × 2 = 9 in.

Find the length of one rectangular prism using the volume formula since volume for one prism = 45 in.³

45 = length × 9

length = 5 in.

Each rectangular prism container is 5 in. long, therefore, the number of the containers that can be set on the shelf that is 24 in. long, if the 4.5 in by 2 in. face touches each other = 24/5 = 4.8.

The fifth container won't fit in. Therefore, the number of rectangular prism container that would be set on the shelf is: 4.

Learn more about rectangular prism on:

brainly.com/question/1015291

7 0

2 years ago