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2 years ago

John invested $17,500 that

Mathematics

1 answer:

babymother [125]2 years ago

6 0

Answer:

<u>The future value of the investment after 10 years is $ 29,240.53</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Principal = $ 17,500

Interest rate = 5.2% = 0.052 compounded semiannually

Time = 10 years = 20 semesters

2. What is the future value of the investment after 10 years?

Let's use the formula of the Future Value, to calculate it for this investment:

FV = P * (1 + r) ⁿ

Let's replace with the real values:

FV = 17,500 * (1 + 0.052/2)²⁰

FV = 17,500 * 1.670887521

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2 years ago

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Harlamova29_29 [7]

Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

Solutions to this equation!!

otez555 [7]

Answer:

w=3/5 or w=-5

Step-by-step explanation:

5w^2+22w=15

5w^2+22w-15=0 (quadratic equation)

a=5, b=22, c=-15

w1,2 =(-b+-sqrt(b^2-4ac))/2a

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w1,2=(-22+-28)/10

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2 years ago

Find three consecutive even integers such that 4 times the third integer is 4 more than the 3 times the first integer plus two t

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and the integral is

$\displaystyle\iint_Sx^2+y^2\,\mathrm dS=\int_0^{2\pi}\int_0^4((r\cos\theta)^2+(r\sin\theta)^2)\sqrt{1+r^2}\,\mathrm dr\,\mathrm d\theta$

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###

To compute the last integral, you can integrate by parts:

$u=r\implies\mathrm du=\mathrm dr$

$\mathrm dv=r\sqrt{1+r^2}\,\mathrm dr\implies v=\dfrac13(1+r^2)^{3/2}$

$\displaystyle\int_0^4r^2\sqrt{1+r^2}\,\mathrm dr=\frac r3(1+r^2)^{3/2}\bigg|_0^4-\frac13\int_0^4(1+r^2)^{3/2}\,\mathrm dr$

For this integral, consider a substitution of

$r=\sinh s\implies\mathrm dr=\cosh s\,\mathrm ds$

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$\displaystyle=\int_0^{\sinh^{-1}4}\cosh^4s\,\mathrm ds$

$=\displaystyle\frac18\int_0^{\sinh^{-1}4}(3+4\cosh2s+\cosh4s)\,\mathrm ds$

and the result above follows.

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3 years ago