Leo is purchasing a bike that is on sale for 30% off. He knows the function that represents the sale price of his bike is c(p) = 0.7p, where p is the original price of the bike. He also knows he has to pay 12% sale's tax on the bike. The price of the bike with tax is f(c) = 1.12c, where c is the sale price of the bike.Determine the function that can be used to calculate the final price of Leo's bike by solving for f[c(p)].
f[c(p)] = 1.82cp
f[c(p)] = 1.82p
f[c(p)] = 0.784cp
f[c(p)] = 0.784p

Answers

Answer 1

Answer: Given:
sales discount = 30%
sales tax = 12%

c(p) = 0.7p where p is the original price
f(c) = 1.12c where c is the sales price of the bike.

f[c(p)] = 1.12(0.7p)

f[c(p)] = 0.784p Last option.

Assume: p = 100
c(100) = 0.7(100) = 70
f(70) = 1.12(70) = 78.4

f[70(100)] = 0.784(100) = 78.4

Answer 2

Answer:

Answer:

The Answer is D I just took the test

Step-by-step explanation:

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If you make a weekly salary of $356, what is the maximum monthly rent you can afford? (Assume that there are four weeks in a month.)$398.72

$384.48

$326.76

$302.22

Answers

Consumer Math: Rule on Rent.

Rent < 28% of Gross Monthly Pay

Weekly pay: 356
Monthly pay : 356 x 4 = 1,424
Maximum monthly rent: 1,424 x 28% = 398.72

First option is the answer. $398.72

Answer with explanation:

Weekly Salary of mine= $ 356

Monthly Salary of Mine, if there are four weeks in a month. =$356×4=$1424

We, will use $(28)/(36)$ rule here,which states that ,28% of your monthly income should be used for housing Purposes and 36% of monthly income should be used for Debt Purposes.

So,28% of $1424

$=(28)/(100)*1424\n\n=(28* 1424)/(100)\n\n=(39872)/(100)\n\n=398.72$

Option A: $ 398.72

A car traveled a distance of 126 miles in 3 hours. Traveling at the same speed, what distance would this car travel in 7 hours?

Answers

Unitrate is the quantity of an amount of something at a rate of one or another quantity.

Speed is the rate at which the car is traveling x miles per hour

Speed = Distance / Time

The distance that the car traveled in 7 hours at a speed of 126 miles in 3 hours is 294 miles.

What is a unit rate?

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

A car traveled a distance of 126 miles in 3 hours.

This can be written as,

126 miles = 3 hours

Multiply both sides by 3.

42 miles = 1 hour

Multiply 7 on both sides.

7 x 42 miles = 7 x 1 hour

294 miles = 7 hours.

This means that,

In 7 hours 294 miles are traveled.

Thus,

The distance that the car traveled in 7 hours at a speed of 126 miles in 3 hours is 294 miles.

Learn more about unitrates here:

brainly.com/question/11258929

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The answer is 294 miles.

If you break down to it's unit rate (126 / 3) you get 42, which is the speed per hour. Now multiply by 7 hours and you get 294 :^]

What is the value of b^2 0 4ac for the following equation?2x^2 0 2x 0 1 = 0
04
0
12

Answers

2x^2 - 2x - 1 = 0 a = 2, b = -2, c = -1 b^2 - 4ac = (-2)^2 - 4(2)(-1) = 4 + 8 = 12
so the answer is 12

Hickory Cell Phones offers a plan that charges a monthly flat fee of $40 plus $0.10 per text message. Catawba Phone Company does not have a monthly fee but charges $0.25 per text message. What is the least number of text messages that can be sent in order for Hickory Cell Phone company to have the better buy and how much money do you save? Show your work and explain your answer.