Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
Let's first establish the simple interest formula which we will require to solve this problem as displayed below:
Simple Interest = Principal × Rate of Interest × No. of Time Periods
I = PRN
Now let's substitute the values from the problem into this formula as displayed below:
I = $90
P = ?
R = 6%
N = 3 years
I = PRN
90 = P × 0.06 × 3
P = 90 / 0.06 × 3
P = 90 / 0.18
P = $500
ANSWER:
As the principal and the amount borrowed is the same, Claire borrowed $500. Therefore, the answer is:
D ) $500
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Answer:
4/10 meters
Step-by-step explanation:
Original Length : 7/10 meters
Remaining Length after cut : 3/10 meters
amount cut off = original length - remaining length
= 7/10 - 3/10
= (7-3)/ 10
= 4/10
Answer:
6/12
10/20
5/10
1/2
Step-by-step explanation:
=)
Answer:
3 dogs and 2 cats.
Step-by-step explanation:
In this case we can solve it using a 2x2 system of equations, like this:
let x: number of cats
let y: number of dogs
So:
42.5 * x + 64 * y = 277
35.5 * x + 50.5 * y = 222.5 => x = (222.5 - 50.5 * y) /35.5
Replacing, we are left with that:
42.5 * (222.5 - 50.5 * y) /35.5 + 64 * y = 277
266.37- 60.45 * y + 64 * y = 277
64 * y - 60.45 * y = 277 - 266.37
3.55 * y = 10.63
y = 10.63 / 3.55
y = 2.99, about 3
Now to calculate x:
x = (222.5 - 50.5 * 3) /35.5
x = 2
Which means that it has a total of 3 dogs and 2 cats.
Answer:
XQ = 12
Step-by-step explanation:
In this question it asks for XQ instead of x, but you need to find x first.
1. Find x.
XQ is half of MQ so this statement is true: 3x - 3 = 2(2x - 6)
Solve for x.
3x - 3 = 2(2x - 6)
Distribute 2.
3x - 3 = 4x - 12
Isolate x.
3x = 4x - 9
-x = -9
Divide -1 out.
x = 9
Now solve for XQ, which the equation is given.
XQ = 2(9) - 6
XQ = 18 - 6
XQ = 12
