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2 years ago

Simplify the expression: 2/3 divided by -4 minus (1/6 - 8/6)

Mathematics

1 answer:

guapka [62]2 years ago

5 0

Answer:

Step-by-step explanation:

$\frac{2}{3} \div - 4 - ( \frac{1}{6} - \frac{8}{6} )$

$- \frac{2}{3} \times \frac{1}{4} - ( - \frac{7}{6} )$

$- \frac{1}{3} \times \frac{1}{2} + \frac{7}{6}$

$- \frac{1}{6} + \frac{7}{6}$

$\boxed{\green{= 1}}$

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2 years ago

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3 years ago

Consider a home mortgage of $250,000 at a fixed APR of 4.5% for 30 years. a. Calculate the monthly payment. b. Determine the t

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Answer:

a. payment: $1266.71

b. total paid: $456, 015.60

c. fraction to principal: 54.8%; fraction to interest: 45.2%

Step-by-step explanation:

The amortization formula tells you the monthly payment is ...

A = P(r/12)/(1 -(1 +r/12)^(-12t))

Payment on principal P at annual rate r for t years.

A = $250,000(0.045/12)/(1 -(1 +0.045/12)^(-12·30)) ≈ $1266.71

The monthly payment is $1266.71.

360 monthly payments of $1266.71 will have a total value of ...

360 × $1266.71 = $456,015.60 . . . . total amount paid

Of course, $250,000 is paid on the principal. That percentage is ...

$250,000/$456,015.60 × 100% ≈ 54.8% . . . to principal

The remaining fraction is paid for interest:

100% -54.8% = 45.2% . . . to interest

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2 years ago

Simplify the expression: 2/3 divided by -4 minus (1/6 - 8/6)​

Simplify the expression: 2/3 divided by -4 minus (1/6 - 8/6)