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Ahat [919]
2 years ago
7

Keith started saving for retirement at age 45 with plans to retire at age 70. He invested an average of $500 per month in variou

s securities, with an average annual return of 6% adjusted for inflation. Assuming monthly compounding, how much has Keith saved at the start of retirement? (show work)
A= $27,432.26
B= $446,496.98
C= $346,496.98
D= $712,355.15
Mathematics
1 answer:
saveliy_v [14]2 years ago
8 0
500×((1+0.06÷12)^(12×25)−1)÷(0.06÷12)
=346,496.98
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rachel is frosting the top of two cakes and wants to know which cake will require more frosting. one cake is round with a diamet
Jet001 [13]

Answer:

The square cake is has a larger area by about 40.73 square inches

Step-by-step explanation:

Find the area of the top of each cake.

The square cake has an area of 81 sq inches,   ( length x width = Area, the

                                                                                    length is 9)

The round cake has an area of 16π, which is about 50.27 square inches

  (A = πr², here r is 4, radius is half the diameter)

81 - 16π =  81 - 50.27 =  40.73 square inches

4 0
2 years ago
Write an equation, in point-slope form, for the line that goes through points (4,4) and (-4,-1).
Soloha48 [4]

Answer:

C.) Y= 5/8x + 1 1/2

Step-by-step explanation:

To write the equation of a line, calculate the slope between points (4,4) and (-4,-1). After, substitute the slope and a point into the point slope form.

m = \frac{y_2-y_1}{x_2-x_1} = \frac{4--1}{4--4}= \frac{5}{8}

Substitute m = 5/8 and the point (4,4) into the point slope form.

y - y_1 = m(x-x_1)\\y -4 = \frac{5}{8}(x-4)\\y-4 = \frac{5}{8}x - \frac{20}{8} \\\y = \frac{5}{8}x - 2{1}{2} + 4 \\ y = \frac{5}{8}x + 1\frac{1}{2}

3 0
3 years ago
You go to a store to pick up milk and cereal. You see that the milk costs $4
PolarNik [594]
Use the estimate but that should be more than the exact price
4 0
3 years ago
Read 2 more answers
In mon, j, k, and l are midpoints. if jl = 11, lk = 13, and on = 20, and jl || mn, lk || mo, and jk || on, what is the length of
frez [133]
This is just about similar triangle
mn=2jl=22
mo=2lk=26
jk=2on=40
3 0
3 years ago
Chris made $184 for 8 hours of work. At the same rate, how much would he make for 13 hours of work?
pashok25 [27]

Answer:

$299

Step-by-step explanation:

Make a proportion

He makes $184 for 8 hours of work, and $x for 13 hours of work

184/8=x/13

To solve, we need to get x by itself. To do this, multiply both sides by 13. We multiply because x is being divide by 13, and we want to do the opposite.

13(184/8)=(x/13)13

The 13s on the right will cancel, leaving us with

13(23)=x

299=x

So, he will earn $299 for 13 hours of work.

4 0
3 years ago
Read 2 more answers
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