Answer:Its math
Step-by-step explanation:
Its math Its math
Total cost of purchasing the car = $16,825 + 0.0719 x $16,825 + $1,128 + $190 = $19,352.72
Value of her previous car = 0.9 x $16,825 = $15,142.50
Amount being owed by Terry = $19,352.72 - $15,142.50 = $4,210.22
The present value of annuity is given by PV = P(1 - (1 + r/t)^-nt) / (r/t)
where P is the monthly payment, r is the rate = 10.59% = 0.1059, t is the number of periods in a year = 12, n is the number of years.
4,210.22 = P(1 - (1 + 0.1059/12)^-(5 x 12)) / (0.1059/12)
0.1059(4,210.22) = 12P(1 - (1.008825)^-60)
P = 445.862298 / 4.916774288 = 90.68
Amount of interest paid = 60(90.68) - 4,210.22 = 5440.80 - 4210.22 = $1230.58
For triangles, area is 1/2 base times height
8. Base 15 1/4 and height 18. Base and height can be flipped around to make the math easier, so 1/2(18)(15 1/4) = 9(15 1/4) = 9(61/4) = 549/4= 137 1/4 sq inches
9. Base 13 and height 11. Area = (1/2)(13)(11)= (13/2)(11) = 143/2 = 71 1/2 sq inches
10. Same thing again. Base = 30, height = 20, so area = (1/2)(30)(20) = 15(20) = 300 square km.
11. Base = 8, height = 5, so (1/2)(8)(5)= 4(5)= 20 square feet.
12. Base = 5, height = 3, so area = (1/2)(5)(3)= (5/2)(3)= 15/2; for 200 tiles we would take (15/2)(200)= 15(100) = 1500 square cm
13. Monica forgot to multiply base and height by 1/2.
Answer: expression 1,3 and 4 are equivalent to 0.75t-21.
Step-by-step explanation:
Expression 1
3/4t-21
= 0.75t - 21
Expression 2
3/4( t-21)
Multiply through by 0.75
= 0.75 ( t - 21 )
= 0.75t - 15.75
Expression 3
0.75( t-28)
Multiply through by 0.75
= 0.75t - 21
Expression 4
t-0.25t-21
let t = 1
1-0.25t - 21
= 0.75t - 21
expression 1,3 and 4 are equivalent to 0.75t-21.
325/5 = $65 a month .
845/65= 13 months
