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Shtirlitz [24]
3 years ago
5

Suppose that the total interest that will be paid on a 2525-year mortgage from a home loan of $130,000$⁢130,000 is going to be $

380,000$⁢380,000. What will be the payments each month if the payments are to pay off both the loan and the interest (rounded to the nearest hundredth)?
Mathematics
1 answer:
lesantik [10]3 years ago
7 0

Answer:

$1,700

Step-by-step explanation:

Given the following :

Period of mortgage = 25 years

Mortgage amount = $130,000

Total interest on mortgage = $380,000

Hence,

Total amount to be paid ( principal + interest) :

($130,000 + $380,000) = $510,000

Total number of months over the 25 years period:

25 × 12 = 300 months

Payment per month:

Total repayment / number of months

= $510,000 / 300

= $1,700 per month

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Jerry has a miniature model of a boat. He knows that the boat is 3 3/4 inches wide and 5 1/2 inches long. What is the actual len
FromTheMoon [43]

Width of the miniature model = 3\frac{3}{4} inches

Length of the miniature model = 5\frac{1}{2} inches

The actual width of the boat = 15 feet

Let us find the actual length of the boat.

Write it in a proportion form.

width of model : length of model : : width of actual : length of actual

$\Rightarrow 3\frac{3}{4}:5\frac{1}{2}::15:x

$\Rightarrow\frac{15}{4}:\frac{11}{2}::15:x

$\Rightarrow\frac{\frac{15}{4}}{\frac{11}{2}} =\frac{15}{x}

Do cross multiplication.

$\Rightarrow{\frac{15}{4}x =15\times\frac{11}{2}

$\Rightarrow{\frac{15}{4}x =\frac{165}{2}

$\Rightarrow x =\frac{165}{2}\times{\frac{4}{15}

⇒ x = 22

Hence the actual length of the boat is 22 feet.

6 0
4 years ago
8x-5y= 14<br> – 5х+бу = -3
podryga [215]

Answer:

y= 34/23

x=  123/46

Step-by-step explanation:

Solve for x

8x-5y= 14

x= 14/8 +5/8y

Sub x into second equation

– 5х+бу = -3

-5(14/8 +5/8y) + 6y= -3

-29/4 +23/8y = -3

y= 34/23

Sub y into any equation and solve for x

8x=483/23

x= 123/46

4 0
3 years ago
How does the formula S=2B+Ph apply to finding the surface area of a right prism?
tigry1 [53]

Answer S−2BP=h

Explanation:isolate the Phterm on one side of the equation:S−2B=PhDivide both sides by P:S−2BP=h

Hopefully this helps!

brainlest if it rightt

8 0
3 years ago
he numbers of regular season wins for 10 football teams in a given season are given below. Determine the​ range, mean,​ variance
Naddik [55]

Answer:

Range = 13

Mean = 8.4

Variance= 21.24

Standard deviation= 4.61

Step-by-step explanation:

2​, 10​, 15​, 3​, 13​, 9​, 14​, 7​, 2​, 9

For the range

Let the set of data be arranged inn ascending order

Range= higehest value- lowest value

Range = 15-2

Range= 13

For the mean

Mean = (2+2+3+7+9+9+10+13+14+15)/10

Mean = 84/10

Mean = 8.4

For variance

Variance=((2-8.4)²+(2-8.4)²+(3-8.4)²+(7-8.4)²+(9-8.4)²+(9-8.4)²+(10-8.4)²+(13-8.4)²+(14-8.4)²+(15-8.4)²)/10

Variance= (40.96+40.96+29.16+1.96+0.36+0.36+2.56+21.16+31.36+43.56)/10

Variance= 212.4/10

Variance= 21.24

Standard deviation= √variance

Standard deviation= √21.24

Standard deviation= 4.609

Approximately = 4.61

6 0
3 years ago
A newspaper writers compensation package includes the total cost of a $150 per month health insurance plan the total cost of a $
Aloiza [94]
150 x 12 = 1800
55 x 12 = 660

1800 + 660 + 45000 = 47,460

6 0
3 years ago
Read 2 more answers
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