Hello! For these kinds of problems, the formula for finding the principal is I / rt. That means, divide the simple interest by the rate and time (rate should be in decimal form). In order to find simple interest, just do prt, which means multiply the principal (initial amount) by the rate (simple interest rate, in decimal form) by the amount of time (could be in months or years). With that being said, if you solve it correctly, here are your answers:
Principal: $14,181
Interest rate: 10%
Time: 4 years
Simple Interest: $5,672.40
Principal: $83,079
Interest rate: 9%
Time: 2 years
Simple Interest: $14,954.22
Principal: $659,379.96
Interest rate: 11.7%
Time: 28 months
Simple Interest: $179,753.57
Principal: $18,936
Interest Rate: 2.41%
Time: 3 Months
Simple Interest: $114.09
Note: If the time is in months, be sure to convert it into a decimal and multiply. If a decimal repeats, just convert it to the nearest hundredth.
Answer:
See below.
Step-by-step explanation:
30 + 15c = 10 + 20c
15c - 20c = 10 - 30
-5c = -20
c = 4
When they both catch 4 criminals, they earn the same amount of money.
Maximizing the Area of a Rectangle with Fixed Perimeter. Drag the locators to vary the width of the rectangle and see the effect on its area. For a rectangle with a perimeterof 40, the height is always 20 minus the width. This allows you to reduce the formula for the area, , to .
Pythagorean Theorem: a^2 + b^2 = c^2
-A and B are legs of the triangle
-C is the hypotenuse
#1.
6^2 + 8^2 = c^2
36 + 64 = c^2
100 = c^2
c = 10
#2.
5^2 + 12^2 = c^2
25 + 144 = c^2
169 = c^2
c = 13
#4.
10^2 + 4^2 = c^2
100 + 16 = c^2
116 = c^2
c =
#5.
15^2 + 9^2 = c^2
225 + 81 = c^2
306 = c^2
c =
#6.
120^2 + b^2 = 150^2
14400 + b^2 = 22500
b^2 = 8100
b = 90
#7.
144^2 + b^2 = 194^2
20736 + b^2 = 37636
b^2 = 16900
b = 130
Hope this helps!! :)