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Sveta_85 [38]
3 years ago
10

An investment of $8500 increases in value by 4.5% every year. How long until the investment

Mathematics
1 answer:
Zanzabum3 years ago
4 0

Answer:

At an interest rate of 4.5% compounded annually, it will take 16.17 years to reach $17,323.-

Step-by-step explanation:

Giving the following information:

Present Value (PV)= $8,500

Future value (FV)= $17,323

Interest rate (i)= 4.5%

<u>To calculate the time required for the investment to reach the objective, we need to use the following formula:</u>

n= ln(FV/PV) / ln(1+i)  

n= ln(17,323/8,500) / ln(1.045)

n= 16.17 years

At an interest rate of 4.5% compounded annually, it will take 16.17 years to reach $17,323.-

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Answer:

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Step-by-step explanation:

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3 years ago
In your own words, explain what a rational expression is and give and example of one.
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2 years ago
Which statement is true about the extreme value of the given quadratic equation? y = -3x2 + 12x − 33
Zina [86]

Answer:

The equation has a maximum value with a y-coordinate of -21.

Step-by-step explanation:

Given

y =-3x^2 + 12x - 33

Required

The true statement about the extreme value

First, write out the leading coefficient

Leading = -3

-3 < 0 means that the function would be a downward parabola;

Downward parabola always have their vertex on top of the parabola and as such, the function has a maximum value.

The maximum value is:

x = -\frac{b}{2a}

Where:

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So, we have:

x = -\frac{12}{2 * -3}

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Substitute x =2 in y =-3x^2 + 12x - 33

y = -3*2^2 + 12 * 2 - 33

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3 years ago
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12345 [234]

Answer:

84

Step-by-step explanation:

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