All categories

3 years ago

The total cost of a truck rental, y, for x days, can be modeled by y=24x+39. What is the rate of change for this function?

Mathematics

1 answer:

padilas [110]3 years ago

3 0

Answer:

24 per day

Step-by-step explanation:

'x' = days, so since 24 is with x, the rate of change is 24

You might be interested in

Pls help and explain

Minchanka [31]

Answer:

Step-by-step explanation:

The answer is going to be miles per quart. So B is wrong.

12 gallons allows you to travel 192 miles

1 gallon permits 192 / 12 = 16 miles / gallon. (Must be a truck of some kind).

1 gallon permits 16 miles of driving.

4 quarts (in 1 gallon) permits 16 miles of driving.

1 quart gives 16/4 = 4 miles / quart.

The answer is C.

==========================

There is a slightly shorter way

12 gallons contains 12 * 4 quarts = 48 quarts.

48 quarts permit 192 miles

1 quart permits 192/48 = 4 miles

4miles / quart.

The answer is still C

7 0

3 years ago

What is the slope of the line that includes points (15,-3) and (16,1)

Rasek [7]

Answer:

-4

Step-by-step explanation:

I hope this helps

6 0

3 years ago

Mai invests $20,000 at age 20. She hopes the investment will be worth $500,000 when she turns 40. If the interest compounds cont

love history [14]

Answer:

$\approx$ 17.5% per annum

Step-by-step explanation:

Given:

Money invested = $20,000 at the age of 20 years.

Money expected to be $500,000 at the age of 40.

Time = 40 - 20 = 20 years

Interest is compounded annually.

To find:

Rate of growth = ?

Solution:

First of all, let us have a look at the formula for compound interest.

$A = P \times (1+\frac{R}{100})^T$

Where A is the amount after T years compounding at a rate of R% per annum. P is the principal amount.

Here, We are given:

P = $20,000

A = $500,000

T = 20 years

R = ?

Putting all the values in the formula:

$500000 = 20000 \times (1+\frac{R}{100})^{20}\\\Rightarrow \dfrac{500000}{20000} =(1+\frac{R}{100})^{20}\\\Rightarrow 25 =(1+\frac{R}{100})^{20}\\\Rightarrow \sqrt[20]{25} =1+\frac{R}{100}\\\Rightarrow 1.175 = 1+0.01R\\\Rightarrow R \approx17.5\%$

So, the correct answer is $\approx$ 17.5% per annum and compounding annually.

6 0

3 years ago

Find the x-and y-intercepts of the graph of each equation 8. x+y=9

vampirchik [111]

Answer:

see explanation

Step-by-step explanation:

To find the x- intercept let y = 0 in the equation and solve for x

x + 0 = 9

x = 9 ← x- intercept ⇒ (9, 0 )

To find the y- intercept let x = 0 in the equation and solve for y

0 + y = 9

y = 9 ← y- intercept ⇒ (0, 9 )

7 0

3 years ago

A grocer buys food from three suppliers. The suppliers deliver every 5 days, 6 days, and 7 days. All three came today. In how ma

AlekseyPX

Answer:

210

Step-by-step explanation:

For getting this answer we need to find the minimum common multiplier, this is, the smaller number that is multiple of all 5, 6 and 7.

For example, 30 is multiple of both 5 and 6, son in 30 days two suppliers will come, but not the third, as 30 is not a multiple of 7.

Let's try with the next multiple of 5 and 6, this is 60, but is not a multiple of 7.

The next is 90, but again not multiple of 7. Niether are the next: 120, 150, 180.

But when we arrive to 210 we see that, as we are going from multiples of 5 and 6, and 210/7=30, 210 is also multiple of 7.

So, the answer is 210.

5 0

3 years ago