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KatRina [158]
3 years ago
12

Make sure you draw a picture to help solve the problem and show all your work:

Mathematics
1 answer:
hodyreva [135]3 years ago
3 0

Answer:

answer in the pic

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)

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What integer is equivalent to 9^3/2
Katyanochek1 [597]
The correct answer is:  27  .
________________________________
Explanation:
_________________________________
  9^(3/2) = (√9)³ = 3³ = 3 * 3 * 3 = 27 .
____________________________________

8 0
3 years ago
Find the GCF of each pair of monomials.<br> c. 42mn, 14mn
tino4ka555 [31]

Answer:

7

Explanation:

7 is the main number that would go into 14 and 42.

6 0
3 years ago
16. How much money will I need to have at retirement so I can withdraw $60,000 a year for 20 years from an account earning 8% co
Lady_Fox [76]

Answer:

  • starting balance: $636,215.95
  • total withdrawals: $1,200,000
  • interest withdrawn: $563,784.05

Step-by-step explanation:

a) If we assume the annual withdrawals are at the beginning of the year, we can use the formula for an annuity due to compute the necessary savings.

The principal P that must be invested at rate r for n annual withdrawals of amount A is ...

  P = A(1+r)(1 -(1 +r)^-n)/r

  P = $60,000(1.08)(1 -1.08^-20)/0.08 = $636,215.95

__

b) 20 withdrawals of $60,000 each total ...

  20×$60,000 = $1,200,000

__

c) The excess over the amount deposited is interest:

  $1,200,000 -636,215.95 = $563,784.05

4 0
3 years ago
2 + (x + 4)<br> Help me out
MariettaO [177]

Answer:

x + 6

Step-by-step explanation:

If you dont know the value of x you cant solve the problem fully

7 0
3 years ago
Read 2 more answers
60/8+X + 60/8-X = 16
Anuta_ua [19.1K]

Answer:

<h2>x = -2 or x = 2</h2>

Step-by-step explanation:

Domain:\\8+x\neq0\ \wedge\ 8-x\neq0\\\boxed{D:x\neq-8\ \wedge\ x\neq8}\\\\\dfrac{60}{8+x}+\dfrac{60}{8-x}=16\\\\\dfrac{60(8-x)}{(8+x)(8-x)}+\dfrac{60(8+x)}{(8+x)(8-x)}=16\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\\dfrac{60(8-x)+60(8+x)}{8^2-x^2}=16\qquad\text{use the distributive property}\\\\\dfrac{(60)(8)+(60)(-x)+(60)(8)+(60)(x)}{64-x^2}=16\\\\\dfrac{480-60x+480+60x}{64-x^2}=16\qquad\text{combine like terms}\\\\\dfrac{(480+480)+(-60x+60x)}{64-x^2}=16\\\\\dfrac{960}{64-x^2}=16

\dfrac{960}{64-x^2}=\dfrac{16}{1}\qquad\text{cross multiply}\\\\16(64-x^2)=(960)(1)\qquad\text{use the distributive property}\\\\(16)(64)+(16)(-x^2)=960\\\\1024-16x^2=960\qquad\text{subtract 1024 from both sides}\\\\1024-1024-16x^2=960-1024\\\\-16x^2=-64\qquad\text{divide both sides by (-16)}\\\\\dfrac{-16x^2}{-16}=\dfrac{-64}{-16}\\\\x^2=4\to x=\pm\sqrt4\\\\x=\pm2\in D

3 0
4 years ago
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