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suter [353]
3 years ago
5

How long will it take to earn $568.75 in interest if $2500 is invested at a 6.5% annual interest rate

Mathematics
2 answers:
zheka24 [161]3 years ago
8 0
3.5 years (so 4 years)
2500×0.065 (this gets the amout earned per year) =162.5
568.75÷162.5 (how many years to get the desired amount) =3.5
Goshia [24]3 years ago
7 0
I = Prt
568.75 = 2500(0.065)(t)
568.75 = 162.5(t)
3.5 = t

It will take 3.5 years to earn $568.75 in interest
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So, Area (region bounded by y-axis, the line y=6, and the line y=1/2 is a line segment of definite length on y-axis)= Area of line segment between [,y=6 and  y=1/2.]= 6-1/2=11/2 units if we consider thickness of line as negligible.

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Step-by-step explanation:

Explanation:

The trick is to know about the basic idea of sequences and series and also knowing how i cycles.

The powers of i will result in either: i, −1, −i, or 1.

We can regroup i+i2+i3+⋯+i258+i259 into these categories.

We know that i=i5=i9 and so on. The same goes for the other powers of i.

So:

i+i2+i3+⋯+i258+i259

=(i+i5+⋯+i257)+(i2+i6+⋯+i258)+(i3+i7+⋯+i259)+(i4+i8+⋯+i256)

We know that within each of these groups, every term is the same, so we are just counting how much of these are repeating.

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i+i2+i3+⋯+i258+i259=-1

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