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stich3 [128]
3 years ago
11

what is 12/3 as an improper fraction? a. 2/3 b. 5/3 c. 8/3 d. 6/3 user: what is 20 × 6? a. 100 b. 40 c. 12 d. 120

Mathematics
1 answer:
Sedbober [7]3 years ago
7 0
1\dfrac{2}{3}=\dfrac{1\cdot3+2}{3}=\boxed{\dfrac{5}{3}}\to\fbox{b.}\\\\20\times6=6\cdot(2\cdot10)=6\cdot2\cdot10=12\cdot10=\boxed{120}\to\fbox{d.}
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The Johnsons are buying their first home. They are contemplating two similar loans. The first is a 30-year loan for $150,000 at
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Johnson's will pay by the end of the 20-year loan $326,807.25

Johnson's will pay by the end of the 30-year loan $512,109.68

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

The Johnson's are buying their first home. They are contemplating

two similar loans

The first is a 30-year loan for $150,000 at an interest rate of 4.1% APT

compounded monthly

∴ P = $150,000

∴ r = 4.1% = (4.1/100) = 0.041

∴ n = 12 ⇒ compounded monthly

∴ t = 30

- Substitute all of these values in the formula above

∴ A=150,000(1+\frac{0.041}{12})^{(12)(30)}

∴ A = $512,109.68

Johnson's will pay by the end of the 30-year loan $512,109.68

The second is a 20-year loan for a $150,000 at an interest rate of 3.9%

APR compounded monthly

∴ P = $150,000

∴ r = 3.9% = (3.9/100) = 0.039

∴ n = 12 ⇒ compounded monthly

∴ t = 20

- Substitute all of these values in the formula above

∴ A=150,000(1+\frac{0.039}{12})^{(12)(20)}

∴ A = $326,807.25

Johnson's will pay by the end of the 20-year loan $326,807.25

Learn more:

You can learn more about interest in brainly.com/question/12773544

#LearnwithBrainly

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3 years ago
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