Time taken for the amount deposited to grow to $5000 will be found as follows:
A=P(1+r/100*n)^nt
where:
A=amount
P=principle
r=rate
n=number of terms
t=time
thus plugging in our values we have:
5000=3587.39=(1+4.2/200)^2t
solving for t we have:
1.393771=1.021^2t
2t=ln1.393771/ln1.021
2t=16.111
t=8.055685 years~8 years
There are two separate equations for this question that use the same variable.
Mary took 7 hours to complete a trip with traffic. This would use the following expression:

Mary took 4 hours to complete the same trip without traffic. The average rate of speed was 27 mph faster than the trip with traffic. This uses the following expression:

Both trips had the same distance. From the information provided, we can set up the following equation:

x represents the average rate of speed on both trips.
Distribute 4 to each term in parentheses:



Subtract 4x from both sides:

Divide both sides by 3 to get x by itself:

The average speed for the slower trip is 36 mph.
We can plug this value into the first equation:

Mary lives
252 miles away from the mountains.
Answer:
The answer is
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Step-by-step explanation:
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To solve first find the LCM of the denominators
That's
The LCM of 96 and 54 is 864
So we have
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We have the final answer as
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Hope this helps you