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2 years ago

7

Elise is investing 10,000 in an account that earns 2.25% simple interest. How many years will it take to have a balance of 12,70

0 in her account, if she does not add or withdraw from the account?

1 answer:

kogti [31]2 years ago

8 0

Answer:

12 years

Step-by-step explanation:

The formula to solve the above question i.e to find the time is given as:

Equation:

t = (1/r)(A/P - 1)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 2.25%/100 = 0.0225 per year,

then, solving our equation

t = (1/0.0225)((12700/10000) - 1) = 12

t = 12 years

Therefore, if she does not add or withdraw from the account, the time it

will take to have a balance of 12,700 in her account is 12 years

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Answer:

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Step-by-step explanation:

Given numbers are 64,-16,4,-1

To identify the pattern of the given numbers :

Let $a_1=64$ , $a_2=-16$ , $a_3=4$ and $a_4=-1$

To find the next number that is $a_5$

common ratio $r=\frac{a_2}{a_1}$

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$r=-\frac{1}{4}$

$r=\frac{a_3}{a_2}$

$=\frac{4}{-16}$

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Therefore the common ration is $r=-\frac{1}{4}$

Therefore the given sequence is geometric sequence

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Now find the 5th term so put n=5 , $a_1=64andr=\frac{-1}{4}$ we have

$a_5=64(\frac{-1}{4})^{5-1}$

$=64(\frac{-1}{4})^{4}$

$=64(\frac{1}{4})^{4}$

$=64(\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4})$

$=\frac{1}{4}$

Therefore $a_5=\frac{1}{4}$

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