All categories

2 years ago

0.84(7/6)^x Find the rate of growth/decay.

1 answer:

6 0

In accordance with the comparison of the given expression to the definition of <em>exponential</em> function, we conclude that the rate of growth is 1/6.

<h3>How to determine the rate of growth of an exponential function</h3>

In this question we need to analyze an <em>exponential</em> function of the form:

y = a · (1 + r)ˣ (1)

Where r is the <em>growth</em> rate. Please notice that there is a decay for r < 0. Thus, we find the following finding by comparing the given expression to (1):

y = 0.84 · (1 + 1/6)ˣ

In accordance with the comparison of the given expression to the definition of <em>exponential</em> function, we conclude that the rate of growth is 1/6.

To learn more on exponential functions: brainly.com/question/14355665

#SPJ1

You might be interested in

Naomi used 2/3 gallon of gas to drive 15^1/5 miles.At this rate how many miles can naomi car travel per gallon

Rama09 [41]

Answer:

22 4/5 miles

Step-by-step explanation:

miles per gallon = total miles / total gallons used

$15\frac{1}{5}$ ÷ $\frac{2}{3}$

convert the mixed fraction to an improper fraction

$\frac{76}{5}$ × $\frac{3}{2}$ = $\frac{114}{5}$ = 22 4/5 miles

5 0

3 years ago

Angle p and q are complementary angles if m p=(3x+2)^0 and mq=(3x-8)^0 find the value of x m p and m q

Mademuasel [1]

Answer:

x = 16

Angle p = 50°

Angle q = 40°

Step-by-step explanation:

"complementary" means the angles add up to 90°.

So,

3x+2 + 3x-8 =90

combine like terms.

6x - 6 = 90

add 6

6x = 96

divide by 6

x = 16

If x = 16,

then Angle p=

3x + 2

= 3(16) + 2

= 48 + 2

= 50

Angle p = 50°

And,

Angle q

= 3x - 8

= 3(16) - 8

= 48 - 8

= 40

Angle q = 40°

Check:

40° + 50° = 90°

7 0

3 years ago

What is Y=2000(1.25)^12

djverab [1.8K]

Answer:

y+29103.83045673370361328125

5 0

1 year ago

Multiple-Choice Integration, Picture Included, Please Include Work

ValentinkaMS [17]

$\displaystyle\int_0^2\sqrt{4-x^2}\,\mathrm dx$

Recall that a circle of radius 2 centered at the origin has equation

$x^2+y^2=4\implies y=\pm\sqrt{4-x^2}$

where the positive root gives the top half of the circle in the x-y plane. The definite integral corresponds to the area of the right half of this top half. Since the area of a circle with radius $r$ is $\pi r^2$ , it follows that the area of a quarter-circle would be $\dfrac{\pi r^2}4$ .

You have $r=2$ , so the definite integral is equal to $\dfrac{2^2\pi}4=\pi$ .

Another way to verify this is to actually compute the integral. Let $x=2\sin u$ , so that $\mathrm dx=2\cos u\,\mathrm du$ . Now

$\displaystyle\int_0^2\sqrt{4-x^2}\,\mathrm dx=\int_0^{\pi/2}\sqrt{4-(2\sin u)^2}(2\cos u)\,\mathrm du=4\int_0^{\pi/2}\cos^2u\,\mathrm du$

Recall the half-angle identity for cosine:

$\cos^2u=\dfrac{1+\cos2u}2$

This means the integral is equivalent to

$\displaystyle2\int_0^{\pi/2}(1+\cos 2u)\,\mathrm du=2u+\sin2u\bigg|_{u=0}^{u=\pi/2}=\pi$

4 0

3 years ago

30/36,= 15/n find n<br> ruuuuuu66w65kkkkkkkwvj64bibkn46

barxatty [35]

Answer:

Step-by-step explanation:

30 ÷ 2 =15

36 ÷ 2 = 18

3 0

4 years ago