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Olenka [21]
2 years ago
6

Joe deposits $3000 into an account that pays simple interest at an annual rate of 6%. He does not make any more deposits. He mak

es no withdrawals until the end of 6 years when he withdraws all the money.
Mathematics
1 answer:
Vlad [161]2 years ago
8 0

Answer:

The interest is $1080 and the amount is $4080.

Step-by-step explanation:

Find an interest by using the formula I=P*i*t, where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.

In this examplee P = $3000, i = 6% and t = 6 years, so

I=P*i*t

I=3000*0.06*6

I=1080

The interest is 1080, therefore the total amount is 4080.

Hope this helps!

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For the function y=-1+6 cos(2pi/7(x-5)) what is the minimum value?
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Usually one will differentiate the function to find the minimum/maximum point, but in this case differentiating yields:
\frac{2\pi}{7(x-5)^{2}}\sin{\frac{2\pi}{7(x-5)}}}
which contains multiple solution if one tries to solve for x when the differentiated form is 0.

I would, though, venture a guess that the minimum value would be (approaching) 5, since the function would be undefined in the vicinity.

If, however, the function is
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A Hot air balloon can hold 90,000 cubic feet of air. It is being inflated at a rate of 6,000 cubic feet per minute . The total c
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if we make a table of values for minutes, we know the balloon is inflating at 6000 ft³ each passing minute.

1 minute......................... 6000(1) ft³

2 minutes......................6000(2) ft³

3 minutes......................6000(3) ft³

4 minutes......................6000(4) ft³

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before getting in the domain and range, let's find out how much air after 6 minutes.

a(6) = 6000(6)

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90000/6000 = 15, after 15 minutes.

so at 0 minutes, t = 0, the balloon is empty, and 15 minutes later, t = 15, the balloon is filled up, [ 0 , 15 ].


what values for the range, namely a(t), makes sense?

well, we know when the balloon is empty is holding 0 ft³, and when is full it has 90000 ft³, [0 , 90000].

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Step-by-step explanation:

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