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prisoha [69]
3 years ago
12

Describe when the formula for simple interest I = prt would be more useful if it were rearranged

Mathematics
1 answer:
Alja [10]3 years ago
4 0
The concept of interest is centralized on the idea that money has a time value. Your $1,000 today would not have the same worth 10 years after. When interest come into play, the value of your money grows with time. There are two types of interest: simple or compounding. Simple interest is based only on the original deposit. Compounding interest is based on the original deposit, add to that the accumulated interest. So, to put simply, simple interest increases by multiplication, while compounding interest increases exponentially.

In the given equation for simple interest, <span>I = prt, i is the amount of interest earned, P is the present worth, r is the interest rate and t is the amount of time. But what we really want to know is the future worth of our money, not the interest earned Therefore, the equation should be F (future worth) in terms of P, i and t. 

Amount of interest earned = Future worth - Present Worth
I = F - P
Substituting this to the given equation and simplifying,
F - P = Prt
F = P + Prt
F = P(1 + rt)</span>
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Solve the question: (-4)+(-1)+2+5+...+x=437
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a₁ = -4

d = a₂ - a₁
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d = 3

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General formula in arithmetic sequence
Formula to find nth term
an = a₁ + d(n - 1)
Formula to find sum of sequence (sn)
Sn = n/2 (a₁ + an)

We have to make an equation system based on the problem
plug the numbers into the formula
First equation
an = a₁ + d(n - 1)
x = -4 + 3(n - 1)
x = -4 + 3n - 3
x = 3n - 7

Second equation
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Solve the equation system by subtitution method
Subtitute x with 3n - 7 in the second equation
xn - 4n = 874
(3n - 7)n - 4n = 874
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n = -46/3 or n = 19
Because the number of terms shouldn't be negative, -46/3 isn't required, so the value of n is 19.

Solve for x, back to the first equatin
x = 3n - 7
x = 3(19) - 7
x = 57 - 7
x = 50

The solution is 50
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