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3 years ago

13

The amount of money collected by a toll booth is represented by the function A(m) = $2.50m where m stands for the number of minu

tes after midnight. What would be an appropriate domain for this function?

1 answer:

Ghella [55]3 years ago

3 0

If im guessing right it's all real numbers. Hope this helps :)

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Convert the time. Enter your answer in the box.<br><br> 4 minutes 53 seconds = <br> seconds

Vsevolod [243]

293 seconds ____________

3 0

2 years ago

Calculate the new balance of an account that has been sitting for three years with a 1.5% interest rate and had an initial depos

maksim [4K]

Answer:

$5225

Step-by-step explanation:

Use the formula for the amount after simple interest: $A = P(1 + rt)$

"A" is the final amount, or balance.

"P" is the principal, or the starting amount.

"r" is the rate of interest in decimal form.

"t" is the time.

What we know:

P = 5000

t = 3

r = 1.5%

Convert the rate to decimal form by dividing by 100, or moving the decimal place two places to the left.

1.5% => 0.015 = r

Substitute what we know into the formula:

A = P(1 + rt)

A = 5000(1 + (0.015)(3)) <=simplify

A = 5000(1 + 0.045)

A = 5000(1.045)

A = 5225 <= new balance

The new balance of an account is $5225.

4 0

3 years ago

Can someone help me find the midpoint?

ioda

Answer:

(6,-2.5)

Step-by-step explanation:

The formula for the midpoint between two points is:

$(\frac{x_{1} + x_{2}}{2},\frac{y_{1}+y_{2}}{2})$

Now we substitute

We have than (9, -1) is $(x_{1}, y_{1})$ and (3, - 4) is $(x_{2}, y_{2})$

So:

$(\frac{(9) + (3)}{2},\frac{(-1)+(-4)}{2})\\\\(-1) + (-4) = -5\\9 + 3 = 12\\$

So, we have:

$(\frac{12}{2}, \frac{-5}{2})\\\\12 / 2 = 6\\-5 / 2 = -2.5\\\\(6, -2.5)$

<h2>(6,-2.5)</h2><h2 />

I can do a graphic explanation if you want.

6 0

2 years ago

PLEASE PLEASE PLEASE HELP!!

Marta_Voda [28]

Okay I'll try to show it step by step

Step 1. So first you need to recognise that the diagram is a right angled triangle, with the right angle being at the bottom. This means we can do Pythagoras' Theorem.

Step 2. Now that you know you can use Pythagoras' Theorem, you can apply it. If you don't know, the theorem is a² + b² = c², with, in this case, a being 5 and b being 8. This means we can do 5² + 8² = 25 + 64 = 89.

Step 3. From the previous step, we now know that the length of the side including x is √89, and because we know that part of this side is 3, if we subtract 3 from √89 we get the value of x, so: √89 - 3 = 9.434 - 3 = 6.434, which is your answer.

I hope this helps!

5 0

3 years ago

A restaurant is located on a coordinate grid at (-6,-9). A store is located on the same coordinate grid at (10,3). If your house

Nitella [24]

Answer:

Step-by-step explanation:

Use the midpoint formula. So, your coordinates of your house would lie on the point (2,-3). (:

4 0

2 years ago