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vladimir1956 [14]
2 years ago
11

Andy got a 32% discount on all his purchases at his favorite shop. If he saved $64 on the total bill, the bill amount without th

e discount was $ and he paid $.
Mathematics
1 answer:
Julli [10]2 years ago
7 0
$200 without the discount and he payed $136.
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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
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Answer:

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

Step-by-step explanation:

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}  

D=\frac{1-0.00903}{0.04}  

D=\frac{0.9909}{0.04}  

D=24.7725  

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

M=\frac{40000}{24.7725}  

M=1614.69  

Half of the monthly payment is $807.345

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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P(A) = 37/100, P(A) = 37%

Step-by-step explanation:

Probability of an event = \frac{Number of favorable outcomes}{Total number of outcomes}

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A square is made up of an L-shaped region and three transformations of the region. If the perimeter of the square is 40 units, w
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Answer:

20 units

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This implies that the square can be divided into four equal L-shaped regions. These regions with respect to transformation forms a square.

Perimeter of the square is 40 units. Since a square has equal length of sides, thus each side of the square is 10 units.

Thus, each L-shape region has dimensions; 8 units, 5 units, 5 units and 2 units.

Perimeter of each L-shape region = the addition of the length of each side of the shape

Perimeter of each L-shape region = 8 + 5 + 5 + 2

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Use properties to find sum or product. 4+(6+21)
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