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Keith_Richards [23]
3 years ago
10

You plan to save $600 a month for the next 30 years for retirement. What interest rate would you need to have $1,000,000 at reti

rement?
Need to solve for interest rate paying into an annuity using formula
P = d(((1+r/k)^(Nk) -1)/(r/k))
P = payout amount (1,000,000)
d = monthly deposit (600)
r = interest rate (unknown)
k = number of times per year interest is compounded (assumed to be the same as the deposit frequency = 12)
N = number of years (30)
PLEASE post steps for this. This is the last question on a set of math homework and I've been able to find no useful info on how to solve this.
Mathematics
1 answer:
Nezavi [6.7K]3 years ago
5 0
600 x ( ) = 1,000,000
fill in the blank 
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Conti. 7-10 thanks a lot! <br><br>unhelpful answers will be deleted.​
Marysya12 [62]

Answers:

10. b. \displaystyle 13

9. b. \displaystyle 20

8. a. \displaystyle 33

7. a. \displaystyle 25°

Step-by-step explanations:

10. Both segments are considered congruent, so turn both expressions into an equation:

\displaystyle 3x - 5 = x + 7 \hookrightarrow \frac{-12}{-2} = \frac{-2x}{-2} \\ \\ 6 = x

Plug this back into the equation to get \displaystyle 13on both sides.

9. All edges in a square obtain congruent right angles and edges, so set \displaystyle 45equivalent to the given expression:

\displaystyle 45 = 2x + 5 \hookrightarrow \frac{40}{2} = \frac{2x}{2} \\ \\ \boxed{20 = x}

8. Both angles are considered supplementary, so turn both expressions into an equation and set it to one hundred eighty degrees:

\displaystyle 180 = (4x - 15)° + (x + 30)° \hookrightarrow 180° = (15 + 5x)° \hookrightarrow \frac{165}{5} = \frac{5x}{5} \\ \\ \boxed{33 = x}

7. In this rectangle, segment <em>EO</em><em> </em>is a segment bisectour, making these angles <em>Complementary</em><em> </em><em>Angles</em><em>.</em><em> </em>Therefore, set an equation up to find its complement:

\displaystyle 90° = 65° + m\angle{VOE} \\ \\ \boxed{25° = m\angle{VOE}}

I am joyous to assist you at any time.

3 0
2 years ago
Solve for c: <br> 12 - 9 + c = 12
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Step-by-step explanation:

12 - 9 + c = 12

-9 + c = 12 - 12

- 9 + c = 0

Therefore c = 9

Hope this helps.!

6 0
3 years ago
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