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just olya [345]
2 years ago
7

1, 3/5, 9/25 Find the 8th term.

Mathematics
1 answer:
timofeeve [1]2 years ago
8 0

Answer:

Step-by-step explanation:

This is a geometric sequence.

a = first term = 1

Common ratio = r = second term ÷ first term

                        = (3/5)÷ 1 = 3/5

t_{n}=ar^{n-1}\\\\t_{8}=1*(\dfrac{3}{5})^{7}\\\\= \dfrac{3^{7}}{5^{7}}\\\\\\= \dfrac{2187}{78125}

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3 years ago
Maureen earned some money doing odd jobs last summer and put it in a savings account that earns 9% interest compounded quarterly
ivolga24 [154]

Answer:

Maureen earned $123.19 doing odd jobs

Step-by-step explanation:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.

In this question:

Compounded quarterly means that n = 4

10 years, so t = 10

9% interest, so r = 0.09

There is $300.00 in the account, which means that A = 300

How much did Maureen earn doing odd jobs?

This is P.

A(t) = P(1 + \frac{r}{n})^{nt}

300 = P(1 + \frac{0.09}{4})^{4*10}

(1.0225)^{40}P = 300

P = \frac{300}{(1.0225)^{40}}

P = 123.19

Maureen earned $123.19 doing odd jobs

5 0
4 years ago
PLEASE HELP AND PLEASE DON'T GUESS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Sindrei [870]
The 8th term is 33 and I don't think any of the options are there
7 0
3 years ago
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Allisa [31]

Answer:

18

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Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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