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nasty-shy [4]
3 years ago
11

Please help I don't understand 120 - 28a = 78

Mathematics
2 answers:
stiks02 [169]3 years ago
6 0
Simplifying
120 + -28a = 78

Solving
120 + -28a = 78

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-120' to each side of the equation.
120 + -120 + -28a = 78 + -120

Combine like terms: 120 + -120 = 0
0 + -28a = 78 + -120
-28a = 78 + -120

Combine like terms: 78 + -120 = -42
-28a = -42

Divide each side by '-28'.
a = 1.5

Simplifying
a = 1.5
Gemiola [76]3 years ago
4 0
120 - 28a = 78
28a = 120-78
28a = 42
a =  \frac{42}{28}  \\ a =  \frac{3}{2}
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2 years ago
You are applying for an 80/20 mortgage to buy a house costing $145,000. The first (80%) mortgage has an interest rate of 4.75%,
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Answer:

$291,016.80

A is correct.

Step-by-step explanation:

You are applying for an 80/20 mortgage to buy a house costing $145,000.

Loan Formula:

EMI=\dfrac{P\cdot r}{1-(1+r)^{-n}}

Case 1:

Loan amount, P = 80% of 145000 = $ 116,000

Rate of interest, r = 4.75% = 0.0475

Time of loan, n = 30 years = 360 months

Substitute the values into formula.

EMI=\dfrac{116000\cdot \frac{0.0475}{12}}{1-(1+\frac{0.0475}{12})^{-360}}

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Case 2:

Loan amount, P = 20% of 145000 = $ 29,000

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Time of loan, n = 30 years = 360 months

Substitute the values into formula.

EMI=\dfrac{29000\cdot \frac{0.07525}{12}}{1-(1+\frac{0.07525}{12})^{-360}}

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Total payment for case 1: 203.27 x 360 = $73,177.20

Total amount of the mortgage = $217,839.60 + $73,177.20

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Hence, The total amount of the mortgage is $291,016.80

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