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2 years ago

Nancy plans to deposit $1,000 quarterly for 35 years at 8.25% Interest, compounded monthly. How much will she

Mathematics

1 answer:

melomori [17]2 years ago

4 0

Answer:

$17,771.92

Step-by-step explanation:

A = P (1 + r/n)^nt

A = Future value (the answer you're trying to find)

P = Initial deposit ($1000)

R = Interest rate (8.25%; this will be represented as a decimal in the equation (.0825))

N = # of times interest is compounded per unit t (12)

T = Time (35)

35 * 12 = 420

1000 (1 + .0825/12)^420

1000(1.006875)^420

1000*17.77191635

A = $17,771.92 (rounded to the nearest hundredths)

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Which of the following fractions is an improper fraction? 2/3 6/11 21/25 8/7

kirza4 [7]

Answer:

8/7

Step-by-step explanation:

The Numerator is bigger than the denominator which in turn can be converted to a mixed fraction.

3 0

3 years ago

A) Let f(x) = 4x + 2 and g(x) = 2x^2-4. Find the formula for the composition function gof

ollegr [7]

Answer:

g o f = $g(f(x)) = 32x^2 + 32x + 4$

Step-by-step explanation:

Given

$f(x) = 4x +2$

$g(x) =2x^2 - 4$

Required:

Find g o f

This is calculated as:

$gof = g(f(x))$

$g(x) =2x^2 - 4$

So:

$g(f(x)) = 2(4x+2)^2 - 4$

$g(f(x)) = 2(4x+2)(4x+2) - 4$

$g(f(x)) = 2[ 16x^2 + 16x + 4)] - 4$

$g(f(x)) = 32x^2 + 32x + 8 - 4$

$g(f(x)) = 32x^2 + 32x + 4$

5 0

2 years ago

Find the missing length. The triangles are similar.

Marina CMI [18]

Answer:

RK= 13 SK= 12

Step-by-step explanation

First, we find the missing length of RK using the given information: 65-52=13

Then we divide 65 by 13 to get a scale factor: 65/13=5

(To check, we multipuly: 13*5=65)

We then apply the scale factor to MK to find SK: 60/5=12

(To check we multipuly: 5*12=60)

We now have our answers: RK:13, SK:12

4 0

2 years ago

The following are the ages (years) of 5 people in a room:

Nat2105 [25]

Answer:

I think its 26 I would not swear it though

7 0

2 years ago

Solve the equation for all values of x by completing the square. Irrational x^2+15=-10x

attashe74 [19]

Answer:

x=-1.8, x=-8.2

Step-by-step explanation:

7 0

2 years ago