Question

Sarah deposits $2000 in a bank account that pays an annual simple interest for 4.5%. How long would it take for her to earn $500 in interest? Show your work.

Is the answer x=18?

Answer 1

i have those problems to :/ im no help on that though >.<sorry just know annual is 1

Answer 2

Do you have another question about Allegra has a cell-phone plan that charges $55 per month and $0.20 for every minute that she uses the phone beyond what her plan allows. One month, she was billed $73.40?

Answer 3

I can help with the interest problem and the cell phone problem.

Answer 4

Interest problem first....

Answer 5

Either one please.

Answer 6

The formula for the simple interest is this one:
I = prt, where I is the interest earned, p is the principle amount deposited, r is the rate, and t is the time. Your values fit in there like this:
500 = 2000(.045)t
Solve that for t. Do you know how?

Answer 7

Okay, give me a minute. Also while I'm working could you do the 2 question I asked. Please.

Answer 8

Did you post the whole question for the cell phone one?

Answer 9

It doesn't appear that you typed the whole problem. Finish it please.

Answer 10

Yes. The answer to the interest one is t=5.55(repeat)

Answer 11

I hope that's correct.

Answer 12

That's right (your answer to the 't')

Answer 13

What is the cell phone problem asking?

Answer 14

Andrea wants to deposit money into a bank account that earns 3.5% simple interest. Use the formula to find the amount of money that she should deposit so that she earns $2800 after 4.5 years. Show and explain your work.

Answer 15

This is a different question ^

Answer 16

Do I have to set up a proportion?

Answer 17

Got that. Meanwhile I think for the cell phone problem, your being asked how many minutes beyond her regular plan did she use her phone?

Answer 18

Lol yes.

Answer 19

I want to focus on the Andrea question first sorry.

Answer 20

Andrea's unknown is the amount of money she needs to deposit. So set up the equation like this, with p as your unknown:
2800 = p(.035)(4.5)
solve for p

Answer 21

Ok, Andrea's done....now let's deal with Allegra and her cell phone issues.

Answer 22

Oh man, now I understand it. I thought at first I have to set up an proportion lol

Answer 23

The equation for Allegra is this: 73.40 = 55 + .2x
What that means is she spends $55 a month for the service and .20 per minute to total $73.40. You will solve this for x to find the number of minutes she was on the phone over her allowed minutes.

Answer 24

Got all that?

Answer 25

Just to be clear that they're asking for:

a. Define a variable for the unknown

b. Write an equation to model the problem.

c. Solve the equation. Show your work.

d. Find the number of minutes that Allegra went over the time that the plan allows.

Answer 26

Which you've done already.

Answer 27

The variable is x, which is the number of minutes she's on the phone that month. That is the unknown. That was a. Now for b. The equation is 73.40 = 55 + .2x Now for c. Solve the equation...can you do that? When you do, you will have d., the number of minutes that Allegra went over the time that the plan allows.

Answer 28

TY for the medal, btw

Answer 29

Can you solve the equation? That's all that there is left to do.

Answer 30

Yes, thank you so much!

Answer 31

And no problem.

Answer 32

You're so welcome!

Answer 33

Oh and btw, I forgot to ask. While I'm solving the last problem: 73.40=55+.2x

I subtract 55 to both sides and get 18.4, correct?