Answer:
For 30 years at 5% = $354,625.2
For 20 years at 4.5% = $278,618.4
Step-by-step explanation:
The total payback for each payment is given by the monthly payment multiplied by the total number of months for the payment period (years).
1) For 30 years at 5%
Total number of months in 30 years = 30 x 12 = 360 months
Payback = $985.07 x 360 = $354,625.2
2) For 20 years at 4.5%
Total number of months in 20 years = 20 x 12 = 240 months
Payback = $1160.91 x 240 = $278,618.4
Make an equation system based on the problem
eg. a is the first number and b is the seond number
An equation for "<span>The sum of two numbers is 53" is
</span>⇒ a + b = 53
An equation for "<span>twice the first number minus three times the second number is 26"
</span>⇒ 2a - 3b = 26
<span>
Solve the equations by elimination and subtitution method
Eliminate a to find the value of b
a + b = 53 (multiplied by 2)
2a - 3b = 26
--------------------------------------
2a + 2b = 106
2a - 3b = 26
------------------- - (substract)
5b = 80
b = 80/5
b = 16
Subtitute the value of b to one of the equations
a + b = 53
a + 16 = 53
a = 53 - 16
a = 37
The numbers are 16 and 37</span>
Step-by-step explanation:
6. 7. 13
18. 10. 28
24. 17. 41
Answer:
g = - 27
Step-by-step explanation:
If the two diagonals are
and
, the are of the rhombus is

So, in your case, the area is

The other options are wrong because:
- option A doens't divide by 2, thus getting twice the area of the rhombus
- option B summed the diagonals instead of multiplying them
- option D took the difference of the diagonals.