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:
55 minutes
Step-by-step explanation:
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Answer:
x = -52
Step-by-step explanation:
1/3x-2/3=-18
Multiply each side by 3 to clear the fractions
3(1/3x-2/3)=-18*3
x - 2 = -54
Add 2 to each side
x-2+2 = -54+2
x = -52
Answer:

Step-by-step explanation:
Let's find a solution by understanding the following:
The acceleration rate is defined as the change of velocity within a time interval, which can be written as:
where:
A=acceleration rate
Vf=final velocity
Vi=initial velocity
T=time required for passing from Vi to Vf.
Using the problem's data we have:
Vf=65miles/hour
Vi=6miles/hour
T=14.8seconds
Using the acceleration rate equation we have:
, but look that velocities use 'hours' unit while 'T' uses 'seconds'.
So we need to transform 14.8seconds into Xhours, as follows:


Using X=0.0041hours in the previous equation instead of 14.8seconds we have:





In conclusion, the acceleration rate is 
Answer:
Step-by-step explanation:
Let chocolate bar = c and blow pops = b
<u>As per given we have equations below:</u>
- 5c + 8b = 23.25
- 2c + 13b = 21.55
<u>13 times the first equation minus 8 times the second to eliminate b and find c:</u>
- 13(5c + 8b) - 8(2c + 13b) = 13(23.25) - 8(21.55)
- 65c - 16c = 129.85
- 49c = 129.85
- c = 129.85/49
- c = 2.65
Each chocolate bar costs $2.65