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2 years ago

Use the compound interest formulas A=P1+

Mathematics

1 answer:

Bingel [31]2 years ago

5 0

The accumulated value of an investment if the money is a. compounded semiannually; b. compounded quarterly; c. compounded monthly; d. compounded continuously is $30731.4 $ , $30785.98 $30823.14 , 30841.95

<h3>What is Interest ?</h3>

Interest is the amount received by a person as a result of investing certain amount of money for a certain period of time.

It is given that

Principal = $ 25000

Time = 3 years

Interest Rate = 7 %

The amount is given by

$\rm A = P( 1+ \dfrac{r}{n}) ^{nt}$

Compounded semiannually

n = 2

Compounded Quarterly

n = 4

Compounded Monthly

n =12

Compounded Continuously

P = P₀ $\rm e ^{rt}$

Therefore the accumulated value for

compounded Semiannually is

$\rm A = 25000( 1+ \dfrac{7}{200}) ^{2*3}$

A = $30731.4

Compounded Quarterly

$\rm A = 25000( 1+ \dfrac{7}{400}) ^{4*3}$

A = $30785.98

Compounded Monthly

$\rm A = 25000( 1+ \dfrac{7}{1200}) ^{12*3}$

A = $30823.14

Compounded Continuously

$\rm P = 25000 e ^{ 7 * 3 }$

P = $30841.95

Therefore the accumulated value of an investment if the money is

a. compounded semiannually; b. compounded quarterly; c. compounded monthly; d. compounded continuously is

$30731.4 $ , $30785.98 $30823.14 , 30841.95

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sergij07 [2.7K]

Answer:

1.375 or 1/38

Step-by-step explanation:

(3/8+2/3)+1/3

(1.04166666667)+1/3

1.375 or 1 3/8

8 0

2 years ago

If y varies directly with x when y=8,x=20 find the value of x when y=42

Alecsey [184]

The value of x is 105 when y=42

Step-by-step explanation:

A direct proportion means that the change in one quantity will also cause the change in other quantity

Given

y varies directly with x

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when the proportionality symbol is removed a proportionality constant is introduced

$x=ky\\k=\frac{x}{y}\\Putting\ y=8\ and\ x=20\\k=\frac{20}{8}\\k = \frac{5}{2}\\So,\ the\ equation\ will\ be\\x=\frac{5}{2}y\\Putting\ y=42\\x=\frac{5}{2}*42\\x=5*21\\x= 105$

The value of x is 105 when y=42

Keywords: Proportion, Direct variation

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3 years ago

Help please? Suppose you have a normally distributed set of data pertaining to a standardized test. The mean score is 500 and th

Lina20 [59]

The formula to calculate the z-score of a certain value is:

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In this example, the x-value is 450, the S.D. is 100, and the mean is 500.

So, substitute these values into the formula.

z = (450-(500))/100
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Therefore, the z-score is -0.5.

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3 years ago

How did they get the -5? I got -3

Naya [18.7K]

F(x) = x² - 3x
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3 years ago

Write a linear equation in point-slope form for the line that goes through (1, -3) and (3,9).

dimaraw [331]

The slope of the line is 6, meaning that you can eliminate A,C. Since the point slope formula is y-y1=m(x-x1) you just need to see if the points are correct.

B. (3,9)
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While these do contain one point, substitute the coordinates to see which contain both.

B.

(1,-3): -3-9=6(1-3): -12=-12
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D.

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D is correct since the coordinate are on the line.

3 0

3 years ago

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