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LekaFEV [45]
3 years ago
11

If x+y=10 and x-y=6 , what is the value of x³-y³​

Mathematics
1 answer:
ohaa [14]3 years ago
6 0

Answer:

\huge\boxed{x^3-y^3=508}

Step-by-step explanation:

\underline{+\left\{\begin{array}{ccc}x+y=10\\x-y=6\end{array}\right}\qquad|\text{add the sides  of the equations}\\.\qquad2x=16\qquad|\text{divide both sides by 2}\\.\qquad\boxed{x=8}\\\\\text{Substitute it to the first equation}\\8+y=10\qquad|\text{subtract 8 from both sides}\\\boxed{y=2}\\\\x^3-y^3=8^3-2^3=512-8=504

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A scientist measured the water pressure at different depths. She made a table showing her findings. The x-values represent the d
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100,70 is the answer I took the test

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A meteor crater is 3900 feet in diameter. Approximate the distance around the crater. Use 3.14 for pi.
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"<em>The distance around a circle"</em> = Circumference

Circumference = 3.14 * diameter

3900 * 3.14 = 12246

The circumference (distance around the crater) is equal to 12,246 feet

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2 years ago
WILL GIVE BRAINLIEST!!!! what is the inverse of the equation y=x^2
musickatia [10]

Answer:

y=2^x

Step-by-step explanation:

4 0
3 years ago
Find the value of x if 9^1/2 • 9^1/2 = x^√81
mario62 [17]

Answer:

(√9)^2x-1/2 = 1/81

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hope this helps

Step-by-step explanation:

3 0
2 years ago
Dan took out a 24-year loan for $111,000 at an APR of 7.7%, compounded
Gekata [30.6K]

Dan would save more by paying off his loan 13 years  early

Step-by-step explanation:

The formula for compound interest, including principal sum, is:

A=P(1+\frac{r}{n})^{nt}  where:

  • A is the future value of the investment/loan, including interest
  • P is the principal investment amount (the initial deposit or loan amount)
  • r is the annual interest rate (decimal)
  • n is the number of times that interest is compounded per unit t
  • t is the time the money is invested or borrowed for

Dan took out a 24-year loan for $111,000 at an APR of 7.7%,

compounded  monthly

∴ P = $111,000

∴ r = 7.7% = (7.7/100) = 0.077

∴ n = 12 ⇒ compounded  monthly

∵ The loan is paid in 13 years

∴ t = 24 - 13 = 11 years ⇒ 13 years early

- Substitute these values in the formula above

∴ A=111,000(1+\frac{0.077}{12})^{(12)(11)}

∴ A = $258,223.20

If it paying in 24 years

∴ A=111,000(1+\frac{0.077}{12})^{(12)(24)}

∴ A = $700,382.38

∴ Dan saves = 700,382.38 - 258,223.20 = $442,159.18

Forrest took out a 24-year loan for $96,000 at an APR of 7.7%,

compounded monthly

∴ P = $96,000

∴ r = 7.7% = (7.7/100) = 0.077

∴ n = 12 ⇒ compounded  monthly

∵ The loan is paid in 13 years

∴ t = 24 - 13 = 11 years ⇒ 13 years early

- Substitute these values in the formula above

∴ A=96,000(1+\frac{0.077}{12})^{(12)(11)}

∴ A = $223,328.17

If it paying in 24 years

∴ A=96,000(1+\frac{0.077}{12})^{(12)(24)}

∴ A = $605,736.11

∴ Forrest saves = 605,736.11 - $223,328.17 = $382.407.94

∵ Dan saves $442,159.18

∵ Forrest saves $382,407.94

∴ Dan would save more by paying off his loan 13 years  early

Dan would save more by paying off his loan 13 years  early

Learn more:

You can learn more about interest in brainly.com/question/8280736

#LearnwithBrainly

7 0
3 years ago
Read 2 more answers
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