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4 years ago

Given an exponential function for compounding interest, A(x) = P(1.02)x, what is the rate of change?

Mathematics

2 answers:

Vikentia [17]4 years ago

3 0

A(x) = P(1.02)^x
A(x) = P(1 + 0.02)^x
A(x) = P(1 + r)^x

Therefore rate of change = 0.02 = 2%.

allochka39001 [22]4 years ago

3 0

Answer:

The correct option is 1. The rate of change is 2%.

Step-by-step explanation:

The general growth function is

$A(x)=P(1+r)^x$ .... (1)

Where, P is initial value and r is rate of change.

The given exponential function for compounding interest is

$A(x)=P(1.02)^x$

The given function can be written as

$A(x)=P(1+0.02)^x$ ..... (2)

From (1) and (2) we get

$r=0.02$

In % it can be written as

$r=2\%$

Therefore the correct option is 1. The rate of change is 2%.

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Need a quick answer please

Sonja [21]

B would be the best answer

8 0

3 years ago

You time someone completing a single task the first time at 100 minutes and the fourth time they do the task it takes 81 minutes

kolezko [41]

Answer:

given statement is false

Step-by-step explanation:

given data

first time = 100 minutes

fourth time = 81 minutes

solution

as here time for 1st unit is multiply by learning percentage for obtain time for 2nd unit

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but it say 90 percent learning curve

so given statement is false

3 0

3 years ago

When factoring 16x2 -

rewona [7]

Answer:

we conclude that the first step is to find the greatest common factor (GCF).

Hence, option C is correct.

Step-by-step explanation:

$16x^2\:-36$

As 4 is the greatest common factor of the expression, so factor out common term 4:

i.e.

$16x^2\:-36=4\left(4x^2-9\right)$

Thus, the first step is to find the greatest common factor (GCF)

Now, solving the remaining portion

$16x^2\:-36=4\left(4x^2-9\right)$

as (2x+3) and (2x-3) are the factors of (4x²-9)

i.e. (4x²-9) = (2x+3) (2x-3)

Thus, the expression becomes

$16x^2\:-36=4\left(2x+3\right)\left(2x-3\right)$

Therefore, we conclude that the first step is to find the greatest common factor (GCF).

Hence, option C is correct.

8 0

3 years ago

3/4 divided by 1/5 <br> Please help

Ulleksa [173]

Answer:

$3 \frac{3}{4}$

Step-by-step explanation:

$\frac{3}{4} \div \frac{1}{5} \\ \\ = \frac{3}{4} \times \frac{5}{1} \\ \\ = \frac{3 \times 5}{4 \times 1} \\ \\ = \frac{15}{4} \\ \\ = 3 \frac{3}{4}$

7 0

3 years ago

Read 2 more answers

The equation h(t) = 1.2 + 40t – 5t2 models the height, in meters of a ball t

Marina CMI [18]

Answer:

Step-by-step explanation:

To determine the time when the height is 40 meters above the ground, we would substitute 40 for h in the given equation. It becomes

1.2 + 4t0t - 5t² = 40

5t² - 40t + 40 - 1.2 = 0

5t² - 40t + 38.8 = 0

The general formula for solving quadratic equations is expressed as

x = [- b ± √(b² - 4ac)]/2a

From the equation given,

a = 5

b = - 40

c = 38.8

Therefore,

t = [- - 40 ± √(- 40² - 4 × 5 × 38.8)]/2 × 5

t = [40 ± √(1600 - 776)]/10

t = [40 ± √824]/10

t = (40 + 28.71)/10 or x = (40 - 28.71)/10

t = 6.871 seconds or t = 1.129 seconds

3 0

3 years ago