Problem One
Find AM
AM = 71.5 - 22 = 49.5
Step Two
State the Givens.
AM = 49.5
MN = 71.5
MB = x
MP = 97.5
Step Three
Set up the Proportion
AM : NM :: x : PM
49.5 : 71.5 :: x : 97.5
Substitute and solve
49.5 / 71.5 = x / 97.5 Cross Multiply
49.5 * 97.5 = 71.5 * x Combine the numbers on the left.
4860.375 = 71.5 * x Divide by 71.5
4860.375 / 71.5 = x
x = 67.98
Problem Two
Remark
This is just a straight application of the Pythagorean Theorem
a^2 + b^2 = c^2
a = 10
b = 24
c = ??
10^2 + 24^2 = c^2
100 + 576 = c^2
676 = c^2
sqrt(c^2) = sqrt(676)
c = 26 <<<< answer
Answer:
It will take approximately 25 months
Step-by-step explanation:
The amount owed on the credit card statement, P = $2,000
The interest rate of the credit on the credit card, r = 18.9%
The minimum monthly payment made, M = $100
The equal monthly installment formula is given as follows;
![M = \dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot \left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}](https://tex.z-dn.net/?f=M%20%3D%20%5Cdfrac%7BP%20%5Ccdot%20%5Cleft%28%5Cdfrac%7Br%7D%7B12%7D%20%5Cright%29%20%5Ccdot%20%5Cleft%281%2B%5Cdfrac%7Br%7D%7B12%7D%20%5Cright%29%5En%20%7D%7B%5Cleft%281%2B%5Cdfrac%7Br%7D%7B12%7D%20%5Cright%29%5En%20-%201%7D)
Therefore, we get;
![100 = \dfrac{2,000 \cdot \left(\dfrac{0.189}{12} \right) \cdot \left(1+\dfrac{0.189}{12} \right)^n }{\left(1+\dfrac{0.189}{12} \right)^n - 1} = \dfrac{2,000 \times\left(0.01575 \right) \cdot \left(1.01575 \right)^n }{\left(1.01575\right)^n - 1}](https://tex.z-dn.net/?f=100%20%3D%20%5Cdfrac%7B2%2C000%20%5Ccdot%20%5Cleft%28%5Cdfrac%7B0.189%7D%7B12%7D%20%5Cright%29%20%5Ccdot%20%5Cleft%281%2B%5Cdfrac%7B0.189%7D%7B12%7D%20%5Cright%29%5En%20%7D%7B%5Cleft%281%2B%5Cdfrac%7B0.189%7D%7B12%7D%20%5Cright%29%5En%20-%201%7D%20%3D%20%5Cdfrac%7B2%2C000%20%5Ctimes%5Cleft%280.01575%20%5Cright%29%20%5Ccdot%20%5Cleft%281.01575%20%5Cright%29%5En%20%7D%7B%5Cleft%281.01575%5Cright%29%5En%20-%201%7D)
100×1.01575ⁿ - 100 = 31.50×1.01575ⁿ
100×1.01575ⁿ - 31.50×1.01575ⁿ = 100
68.5×1.01575ⁿ = 100
1.01575ⁿ = 100/68.5
n = ln(100/68.5)/ln(1.01575) ≈ 24.21 (which is approximately 25 months, by rounding up to the nearest whole number)
Therefore, it will take approximately 25 months to pay off the credit card debt
Answer:
3
Step-by-step explanation:
one day is 24 hours which is 2 times 12, so in two days there are 4 12-hour so divide 48 by two four times:
48/2=24
24/2=12
12/2=6
6/2=3
Answer:
8
Step-by-step explanation:
total paid: $135.95
cost of gloves: $15.95
amount for classes: $135.95 - $15.95 = $120
cost of each class: $15
number of classes: $120/$15 = 8
Answer: 8 classes
Answer:
384
Step-by-step explanation:
12 × 9 × 4 = 384
9 × 4 = 32 × 12 = 384
384, is your answer!