Answer:
Step-by-step explanation:
The ladder forms a right angle triangle with the house and the ground. The length of the ladder represents the hypotenuse of the right angle triangle. The height, h from the top of the ladder to the base of the house represents the opposite side of the right angle triangle.
The distance from the bottom of the ladder to the base of the house represents the adjacent side of the right angle triangle.
To determine the height, h that the ladder reaches, we would apply
the Sine trigonometric ratio.
Sin θ = opposite side/hypotenuse. Therefore,
Sin 62 = h/12
h = 12Sin62
h = 12 × 0.8829
h = 10.6 feet
Given:
loan amount - $204,000
interest rate per annum - 4.5%
4.5% / 12 months = 0.375% per month
3/27 - 3 years to pay, 27 years amortization
27 years * 12 months = 324 months
Using the attached formula to compute for the monthly amortization:
A = 204,000 * [0.00375(1+0.00375)³²⁴] / [(1+0.00375)³²⁴ - 1]
A = 1,088.79
Keep in mind that there are slight differences in figures due to the decimal places used.
FV = 204,000(1+0.00375)³⁶ - 1,088.79 {[(1+0.00375)³⁶ - 1] / 0.00375}
FV = 233,426.56 - 41,885.72
FV = 191,540.84
The closest to my answer is Choice B. <span>
B. $190,245.98</span>
Answer:
Step-by-step explanation:
<u>Given</u>
- Q(s) = -4s^3 + 7s^2 - 24;
- s = -4 and 1
<u>Verifying zeroes</u>
Q(-4) =
- -4(-4)^3 + 7(-4)^2 - 24 =
- 256 + 112 - 24 =
- 344
- Incorrect as 344 ≠ 0
Q(1) =
- -4(1)^3 + 7(1)^2 - 24 =
- -12 + 7 - 24 =
- -29
- Incorrect as -29 ≠ 0
B. No, the rectangle cannot have x = 20 and y = 11 because x + y ≠ 32
Perimeter = 2(l + w)
Perimeter = 64
Assuming: P = 64; w = 11 ; l = ?
64 = 2(l + 11)
64/2 = l + 11
32 - 11 = l
length = 21.
Answer:
1170cm
Step-by-step explanation:
52×45=2340
2340÷2=1170