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Mathematics 8 Online
OpenStudy (shaleiah):

@directrix

OpenStudy (shaleiah):

Directrix (directrix):

Let's compare the two formulas as the first step in this problem For Account 1, the formula needed is attached.

Directrix (directrix):

Look at the formula. Then, go back to the details for Account 1. What do you think would be these values which would be substituted into the formula for Account 1? P = ? r = ? n = ? t = ? @shaleiah

OpenStudy (shaleiah):

p=100 r= n=1.01 t=4

Directrix (directrix):

r is the rate of interest written as a decimal. r = 5% = .05

Directrix (directrix):

t is the time in years. n is the number of times per year that the interest is compounded. n = 12 in Account 1

OpenStudy (shaleiah):

Alright.

Directrix (directrix):

At the end of one year, Account 1 will be worth: A = 100* (1 + .05/12)^(12*1) A = 100 * (1.00417)^12 A =$ 105.12 Account 1 Check that and see if you agree.

OpenStudy (shaleiah):

I agree

Directrix (directrix):

Account 2 Formula is given: A = 100*(1.01)^(4*1) --> What does this equal? @shaleiah

OpenStudy (shaleiah):

104.06

Directrix (directrix):

After 1 year: Acount 1: $ 5.12 earned Interest Account 2: $ 4.06 earned interest

OpenStudy (shaleiah):

No..C

Directrix (directrix):

My brain froze for a second. We know that Account 1 produces the greater amount of interest but we have to figure out the question about the interest rates. I am thinking that your selection of option C is correct. Hold on a second.

Directrix (directrix):

Why did you not go with option A? Just wondering.

OpenStudy (shaleiah):

5.12-4.06=1.06 Seems closer to 1.00%

OpenStudy (shaleiah):

I'm stumped on this also :(

Directrix (directrix):

Sorry, I did more calculations on the first problem. I'm going with the 1% and hoping that it is correct. I think I had us do more work than necessary but practice is always good for the brain.

Directrix (directrix):

On the second problem, let's work it out and then backtrack to look for all possible correct versions of the problem.

Directrix (directrix):

What is 81 as a power of 9?

OpenStudy (shaleiah):

1^17

Directrix (directrix):

No. 81 = 9^x What is x

OpenStudy (shaleiah):

9

Directrix (directrix):

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