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anzhelika [568]
2 years ago
12

Please help this is due today at 2pm Thanks!

Mathematics
1 answer:
Alja [10]2 years ago
7 0

The formula for simple interest is:

A = P(1+rt)

Where P = amount borrowed

r = interest rate

t = time of loan

A = 5000(1 + 0.125*2)

A =6,250

The total amount she paid back was $6,250

For her monthly payment divide total paid back by 24 months ( 2 years = 24 months)

6250 / 24 = 260.42

Her monthly payment was $260.42

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Element X is a radioactive isotope such that its mass decreases by 59% every day. If an experiment starts out with 390 grams of
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Answer:

The function that represents the mass of the sample after t days is A(t) = 390(0.41)^t.

The percentage rate of change per hour is of -2.46%.

Step-by-step explanation:

Exponential amount of decay:

The exponential amount of decay for an amount of a substance after t days is given by:

A(t) = A(0)(1-r)^t

In which A(0) is the initial amount, and r is the decay rate, as a decimal.

Element X is a radioactive isotope such that its mass decreases by 59% every day. The experiments starts out with 390 grams of Element X.

This means, respectively, that r = 0.59, A(0) = 390

So

A(t) = A(0)(1-r)^t

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The function that represents the mass of the sample after t days is A(t) = 390(0.41)^t.

Hourly rate of change:

Decreases by 59% every day, which means that for 24 hours, the rate of change is of -59%. So

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The percentage rate of change per hour is of -2.46%.

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