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3 years ago

15

Ian and April wish to have 8,000 available for the wedding in six years how much money should be set aside now at 6% compounded

monthly in order to reach their financial goal

1 answer:

ira [324]3 years ago

8 0

Answer:

$\$5,586.42$

Step-by-step explanation:

we know that

The compound interest formula is equal to

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

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=6\ years\\ A=\$8,000\\ r=0.06\\n=12$

substitute in the formula above

$8,000=P(1+\frac{0.06}{12})^{12*6}$

$8,000=P(1.005)^{72}$

$P=8,000/(1.005)^{72}$

$P=\$5,586.42$

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Solve for x: 2x^5/3-22=464 a) x = 28 b) x = 27 c) x = ±27 d) x = ±28

Effectus [21]

Answer:

<h3>x = 27</h3>

Step-by-step explanation:

Given the expression ${2x^{\frac{5}{3} }-22 = 464$ , we are to find the value of x in the expression. This is as shown below;

${2x^{\frac{5}{3} }-22 = 464$

add 22 to both sides

${2x^{\frac{5}{3} }-22 = 464+22\\\\$

${2x^{5/3} =486$

divide both sides by 2

$\frac{2x^{5/3}}{2} =\frac{486}{2}\\ x^{5/3} = 243$

raise both sides to the power of 3/5

$(x^{5/3})^{3/5} = (243)^{3/5}\\x = (\sqrt[5]{243}) ^3\\x = 3^3\\x = 27$

Hence the value of x is 27

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dusya [7]

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Step-by-step explanation:

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3 years ago

How many whole numbers have a sum of 40

Olenka [21]

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2 years ago

22. Find the slope and Y intercept of the line 3x+4y-9=0

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Answer:

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2 years ago

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bija089 [108]

Part A:

The average rate of change refers to a function's slope. Thus, we are going to need to use the slope formula, which is:

$m = \dfrac{y_2 - y_1}{x_2 - x_1}$

$(x_1, y_1)$ and $(x_2, y_2)$ are points on the function

You can see that we are given the x-values for our interval, but we are not given the y-values, which means that we will need to find them ourselves. Remember that the y-values of functions refers to the outputs of the function, so to find the y-values simply use your given x-value in the function and observe the result:

$h(0) = 3(5)^0 = 3 \cdot 1 = 3$

$h(1) = 3(5)^1 = 3 \cdot 5 = 15$

$h(2) = 3(5)^2 = 3 \cdot 25 = 75$

$h(3) = 3(5)^3 = 3 \cdot 125 = 375$

Now, let's find the slopes for each of the sections of the function:

<u>Section A</u>

$m = \dfrac{15 - 3}{1 - 0} = \boxed{12}$

<u>Section B</u>

$m = \dfrac{375 - 75}{3 - 2} = \boxed{300}$

Part B:

In this case, we can find how many times greater the rate of change in Section B is by dividing the slopes together.

$\dfrac{m_B}{m_A} = \dfrac{300}{12} = 25$

It is 25 times greater. This is because $3(5)^x$ is an exponential growth function, which grows faster and faster as the x-values get higher and higher. This is unlike a linear function which grows or declines at a constant rate.

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3 years ago