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Annette [7]
3 years ago
6

-. A businessman plans to retire in 30 years. As part of his retirement plan, he has

Mathematics
1 answer:
stepladder [879]3 years ago
7 0

Answer:

A = $45948

Step-by-step explanation:

Given the following data;

Principal = $8000

Interest rate = 6% = 6/100 = 0.06

Time = 30 years

To find the future value, we would use the compound interest formula;

A = P(1 + \frac{r}{100})^{t}

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

t is the number of years for the compound interest.

Substituting into the equation, we have;

A = 8000(1 + \frac{6}{100})^{30}

A = 8000(1 + 0.06)^{30}

A = 8000(1.06)^{30}

A = 8000(5.7435)

A = $45948

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3 years ago
2x – 3 &gt; -4x + 2<br> What is the solution to the inequality
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Answer:

x>\frac{5}{6}

Step-by-step explanation:

2x-3>-4x+2

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2x+4x>-4x+5+4x

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Step-by-step explanation:

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The number of donuts produced by a machine is directly proportional to the time the machine runs . The machine produces 380 donu
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Answer:

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Answer:

  2)  c)  (x-3)² + (y+2)² = 25

  5)  x^2 +y^2 -8x -16y +54 = 0

  6)  x^2 +y^2 -10x -12y +36 = 0

Step-by-step explanation:

2) The standard form equation for a circle is ...

  (x -h)^2 +(y -k)^2 = r^2

You are given the center: (h, k) = (3, -2) and a point on the circle. So, the equation will be ...

  (x -3)^2 +(y +2)^2 = r^2

Since we know a point on the circle we know that ...

  (7 -3)^2 +(1 +2)^2 = r^2 = 16 +9 = 25

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  (x -3)^2 +(y +2)^2 = 25 . . . . . matches choice C

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5) As in the previous problem, the standard form equation is ...

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To put this in general form, we need to subtract 26 and eliminate parentheses.

  x^2 -8x +16 +y^2 -16y +64 -26 = 0

  x^2 +y^2 -8x -16y +54 = 0

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6) A circle tangent to the y-axis will have a radius equal to the x-value of the center point.

  (x -5)^2 +(y -6)^2 = 5^2

  x^2 -10x +25 +y^2 -12y +36 = 25

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8 0
4 years ago
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