Inflation and Interest Rates: Tutorial

Mathematics

2 answers:

valina [46]2 years ago

8 0

Answer:102.22

Step-by-step explanation:

Alex_Xolod [135]2 years ago

8 0

Answer:

2.22%

Step-by-step explanation:

Recall that year 1, the base year, has a CPI of 100.

From question 1, we know that the CPI of year 2 is 102.22.

To find the rate of inflation, find the percent change from year 1 to year 2:

102.22-100= 0.0222, or 2.22%

_________

100

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If $190 is invested at an interest rate of 11% per year and is compounded continuously, how much will the investment be worth in

dangina [55]

Answer:

$295.01

Step-by-step explanation:

Using the compounding continuously formula, we are looking for A. We have that P = 190; r = .11 (always use the decimal form of the rate!); and t = 4. Filling in we have:

$A=190e^{(.11)(4)}$

Simplifying that multiplication:

$A=190e^{.44}$ .

On your calculator, raise e to the .44 power to get

A = 190(1.552707219) and

A = $295.01

5 0

3 years ago

For what values of $x$ is it true that $x^2 - 5x - 4 \le 10$? Express your answer in interval notation.

dybincka [34]

Answer:

x ∈ [-2, 7]

Step-by-step explanation:

The given equation ...

x^2 -5x -4 ≤ 10

can be rewritten as ...

x^2 -5x -14 ≤ 0

and factored as ...

(x +2)(x -7) ≤ 0

Clearly, the "or equal to" condition will be met when x=-2 and x=7. For values of x between these numbers, one factor is negative and the other is positive. Hence the product will be negative. So, numbers in that interval are the solution set.

x ∈ [-2, 7]