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3 years ago

Write (6b)^2 without exponents

Mathematics

2 answers:

Lena [83]3 years ago

5 0

36b^2

I think....tell me if im right plz

Nikolay [14]3 years ago

4 0

Squaring a number means you're multiplying the number by itself. This would mean (6b)^2 = (6b)(6b).

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Dean took out a 10-year loan for $40,000 at an APR of 4% compounded monthly. What will his balance be after he has made exactly

damaskus [11]

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The balance be after he has made exactly half of his monthly payments is $56881.4.

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Given : Dean took out a 10-year loan for $40,000 at an APR of 4% compounded monthly.

To find : What will his balance be after he has made exactly half of his monthly payments?

Solution :

Formula of monthly payment ,

$M=\frac{\text{Amount}}{\text{Discount factor}}$

Discount factor $D=\frac{1-(1+i)^{-n}}{i}$

Where, Amount = $40,000

Rate r= 4% compounded monthly

$i=\frac{4}{100}=0.04$

Time = 10 years

$n=10\times12=120$

Now, put all the values we get,

$D=\frac{1-(1+i)^{-n}}{i}$

$D=\frac{1-(1+0.04)^{-120}}{0.04}$

$D=\frac{1-(1.04)^{-120}}{0.04}$

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$M=\frac{40000}{24.7725}$

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Payment for 10 years is $807.345\times 120=96881.4$

The balance is $96881.4-$40000=$56881.4

Therefore, The balance be after he has made exactly half of his monthly payments is $56881.4.

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