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OverLord2011 [107]

3 years ago

5

You are training for a marathon. On the first three days of training, your run for 2,4, and 5 miles. How many miles should you r

un on the fourth day so that your run a mean of 4 miles per day?

1 answer:

jasenka [17]3 years ago

3 0

The answer would have to be like the same as the first day, so that being said you would have to add. I think the answer is 2,2,4. hope this helps.

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Is 1¾ a rational numbers

Natalija [7]

Answer:

Yes 1¾ is a rational number

Step-by-step explanation:

1¾ is written as a fraction of two integer and is therefore rational.

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2 years ago

Capital Value Find the capital value of an asset that generates $7200 yearly income if the interest rate is as follows.

olganol [36]

a. An asset that generates $7200 yearly income if the interest rate 5% compounded continuously, then its capital value is $140433.002

b. An asset that generates $7200 yearly income if the interest rate 10% compounded continuously, then its capital value is $68460.59

<u>Step-by-step explanation:</u>

For continuously compound interest

$A = P \times e^{r t}$ ---------------> eq.1

Where

P = principal amount (initial investment)

r = annual interest rate (as a decimal)

t = number of years

A = amount after time t.

Let’s solve the equation

Where,

P is unknown

A = P + 7200 (asset after 1 year) ---------------> eq. 2

<u>Case A: </u>

$r=\frac{\text {interest rate}}{100}=\frac{5}{100}=0.05$

t = 1 (1 year)

Substitute all values in the formula (2) using the formula (1),

$P \times e^{(0.05)(1)}=P+7200$

$P \times e^{0.05}-P=7200$

$P\left(e^{0.05}-1\right)=7200$

$P(1.05127-1)=7200$

$P(0.05127)=7200$

$P=\frac{7200}{0.05127}=\$140433.002$

<u>Case B:</u>

$r=\frac{\text {interest rate}}{100}=\frac{10}{100}=0.10$

t = 1 (1 year)

Substitute all values in the formula (2) using the formula (1),

$P \times e^{(0.10)(1)}=P+7200$

$P \times e^{0.10}-P=7200$

$P\left(e^{0.10}-1\right)=7200$

$P(1.10517-1)=7200$

$P(0.10517)=7200$

$P=\frac{7200}{0.10517}=\$68460.59$

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