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3 years ago

How am I suppose to find X?

Mathematics

1 answer:

ololo11 [35]3 years ago

6 0

Since we know the triangles are similar, then just use proportions from the corresponding sides, check the picture below.

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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

Step-by-step explanation:

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

Case A:

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

t = 1 (1 year)

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

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

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

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

$P(1.05127-1)=7200$

$P(0.05127)=7200$

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

Case B:

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

t = 1 (1 year)

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

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

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

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

$P(1.10517-1)=7200$

$P(0.10517)=7200$

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

7 0

3 years ago

Find the 6th term of a geometric sequence t3 = 444 and t7 = 7104.

hichkok12 [17]

Given the value of t3 and t7, and t7 = t3 * r^4, where r represents the geometric quotient.

So 7104 = 444 * r^4 -> solve for r, you will get r = 2 or -2

So, for r = 2, t6 = t7 / r = 7104 / 2 = 3552

For r = -2, t6 = -3552

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3 years ago

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3.141 in expanded notation

Eva8 [605]

3.141 in expanded notation is 3 + 0.1 + 0.04 + 0.001

Hope that helps :)

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How do you write 20% as a decimal

77julia77 [94]

Answer:

0.2

Step-by-step explanation:

20/100=0.2

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What's 3.82e+7 in standard form

kenny6666 [7]

If you simplify, it equals 10.82e.

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