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2 years ago

MARCELLA LANDON WINS THIRD PRIZE IN THE CLEARINGHOUSE SWEEPSTAKES AND

Mathematics

1 answer:

Triss [41]2 years ago

5 0

The amount of money in the account after 10 years is $278,814.10.

<h3>What will be the value of the account after 10 years?</h3>

The first step is to determine the amount she has left to invest.

Amount invested = amount won - amount spent on vacation

$250,000 - $10,000 = $240,000

The second step is to determine the future value of the account. The formula for calculating future value:

FV = P (1 + r)^nm

FV = Future value
P = Present value
R = interest rate = 1/5/12 = 0.125%
m = number of compounding =12
N = number of years

240,000 x 1.00125^(12 x10) = $278,814.10

To learn more about future value, please check: brainly.com/question/18760477

#SPJ1

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Step-by-step explanation:

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3 years ago

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Step-by-step explanation:

Let $t_1,t_2$ be the running time associated with the input of sizes $s_1,s_2$

If the running time is linear

$t_2 = t_1\frac{s_2}{s_1} = 0.5*\frac{1000}{100} = 0.5*10 = 5s$

If the running time is quadratic

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If the running time is log-linear

$t_2 = t_1\frac{log(s_2)}{log(s_1)} = 0.5*\frac{log(1000)}{log(100)} = 0.5*1.5 = 0.75s$

If the running time is cubic:

$t_2 = t_1\left(\frac{s_2}{s_1}\right)^3 = 0.5*\left(\frac{1000}{100}\right)^3 = 0.5*10^3 = 500s$

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3 years ago

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Graph description:

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Sorry for not being able to provide an actual graph, but I hope this helps.

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