Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.

y=490(0.92)^x

Answers

Answer 1

Answer:

DecayDecrease rate is 8%

Step-by-step explanation:

Given function:

y = 490(0.92)^x

The base of the exponent is 0.92. This represents a decay as 0.92 is less than 1. It would be a growth function is the base was greater than 1.

The rate of decrease is

0.92 times

Percent decrease is

(1 - 0.92)*100% = 8%

Related Questions

What is the distance between (2. 6) and (7, 6)

Answers

Answer:

Step-by-step explanation:

Hey There!

So first off the y values are the same so to find the distance between the two points all we have to do is subtract the largest x value from the smallest x value

7-2=5

Therefore the distance between the two points is 5

Answer: 5

Step-by-step explanation:

D = √(x₂ - x₁)² + (y₂ - y₁)²

x₁ =2 y₁ =6 x₂ =7 y₂ =6

D =√(7-2)² +(6-6)²

D=√(5)² +(0)²

D =√25

D=5

2. True or False, the following relations are functions?
{(1,12), (4,8), (7,22), (10,28)}

Answers

the answer is True :))))

For your vacation, you pack 3 shirts,
2 pairs of pants, and 2 pairs of
shoes. How many combinations of
unique outfits can you make?

Answers

Answer:

Step-by-step explanation:

3 shirts x 2 pants x 2 pair shoes= 12 outfits

yall i need help please yuhhh

Answers

Answer:

1. 9

2. -3

Step-by-step explanation:

If the area of a parallelogram is
120 ft.^2 and the base is 15 ft.,
what is the height?

Answers

Answer:

8 ft

Step-by-step explanation:

The area of a paralellagram is b*h. Since we know the base, 15, we can plug this into an equation.

15(h) = 120.

Divide by 15 on both sides to get you 8.

Answer : 8

Explanation : Area of parallelogram is A = bh
Given , b = 15 and A = 120
Substituting the values in formula :
120 = 15h
h = 120/15
h = 8

The total length of a road trip was 19.6 hours. If highway signs are posted every 0.7 hours, including one at the end of the road trip, how many highway signs will there be on the road trip.

Answers

Answer:

we can do it by dividing the journey time by in how after how many time the sign is place so 19.6/0.7=28

Hope you like it please make me the brainiest.

Thank You

-Parshv

Find the area and the circumference of a circle with radius 2yd. Use the value 3.14 for pie and do not round your answer. Be sure to include the correct units in your answer

Answers

Answer:

circumference: 12.56 yd

area: 3.14(2 yd)² = 12.56 yd²

Step-by-step explanation:

The circumference formula is C = 2πr (pi, not pie), where r is the radius.

When r = 2 yd and π ≈ 3.14, the circumference is:

C = 2(3.14)(2 yd) = 12.56 yd

First, rewrite 1/9 and 2/15 so that they have a common denominator. Then use to order 1/9 and 2/15.

Answers

Answer: 1/9= 5/45 or 2/15= 6/45

Step-by-step explanation:

1/9 *5/5 = 5/45

1*5 =5 (numerator)

9*5=45 (denominator)

-----------------------------------------------------------------------------------

2/15 *3/3 = 6/45

2*3= 6 (numerator)

15*3= 45 (denominator)

[tex]in triangle ABC, AB=7, BC=10, and the measure of angle B=80, to the nearest 10th, what is b[/tex]

Answers

Answer:

b = 11.0

Step-by-step explanation:

From the given properties of the triangle,

b = AC

Applying the cosine rule, we have;

[tex]b^{2}[/tex] = [tex]a^{2}[/tex] + [tex]c^{2}[/tex] - 2acCos B

= [tex]10^{2}[/tex] + [tex]7^{2}[/tex] - 2(10 x 7) Cos 80

= 100 + 49 - 140 x 0.17365

= 149 - 24.311

Where x is Amanda's age

Fred and Amanda's age : 109 = 1 + 3x + x

4x + 1 = 109

4x = 109 - 1

4x = 108

x = 108 / 4

x = 27

Fred's age = 1 + (3 x 27) = 82

The equation that represents Blake's age is: b = 2c - 16

Where: b = Blake's age

c = Catherine's age = 2 + b

b = 2(2 + b) - 16

b = 4 + 2b - 16

16 - 4 = 2b - b

12 = b

Catherine's age = 12 + 2 = 14

To learn more about addition, please check: https://brainly.com/question/349488

#SPJ1

please help me plzzz

Answers

Answer:

400, im positive

Step-by-step explanation:

im sure !!

400 I think no I’m sure

HELP ME PLEASE ‘,:) it’s due today lol

Answers

The first one.......................

Answer:

The first one because the 25% os 12 is 3, so 12+3=15

Step-by-step explanation:

9. Angeline fills one water jug with 5.8 gallons of water. She needs to fill 17 water jugs for day camp. How many gallons of water does she need?

Answers

Answer:

Step-by-step explanation:

Capacity of 1 water jug = 5.8 gallons

Capacity of 17 water jugs = 5.8 *17

= 98.6 gallons

Answer: the answer is 98.6

Step-by-step explanation:

i hope this helps!

PLEASE HELP!! Urgent! :((

Answers

Answer:

the angle is 245°

Step-by-step explanation:

that is a pentagon, (a shape with 5 sides)

we know 4 of the angles in the pentagon

the sum of those 4 angles is

58°+100°+112°+25°=295°

to find a shapes total amount of °, the equation is (n-2)x180°

(5-2)x180°

=540°

540°-295°=245°

x=245°

it took Stephanie 2 1/3 hours to travel to her Aunt's house, and then 1 2/3 hours to travel to her Grandma's house. How many total hours did Stephanie travel?

Answers

Answer:

It took Stephanie 4 hours

Step-by-step explanation:

2 1/3 + 1 2/3 = ?

To make it easier, let's add them differently

2 + 1 = 3

1/3 + 2/3 = 1

1 + 3 = 4 hours

Or turn them into mixed numbers:

7/3 + 5/3 = 12/3 = 4 hours

So our final answer is 4 hours.

Hopefully this helps :3 sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

Pls help I’ll give brainliest

Answers

Answer:

B) 7 gallons

Step-by-step explanation:

car begins with 12 gallons and, at a rate of 29 mpg, would allow the car to travel for 348 miles

car only traveled 140 miles so 208 miles more can be driven

208÷29 is approx 7 gallons

Can somone please help me and explain very much appreciated and this is 7th grade math btw

Answers

Answer:

4 8.95h + 10 < 115

Step-by-step explanation:

Answer: 4) 8.95h + 10 < 115

Step-by-step explanation:

We know the inequality will be equal to less than 115 since it states that the order was less than $115.

The equation would look like: some amount of shin guards times 8.95 each + $10 shipping = less than $115

8.95h + 10 < 115

(h in the given equation is the amount of shin guards)

Marie donated 36% of her comic books to a
school. If she donated 135 comic books, how
many did she own before her donation?

Answers

Answer: 375

Step-by-step explanation:

Let x equal the number of comic books before her donation.

x × 0.36 = 135

135/0.36 = 375

Simplify the expression.

7.5(–5.9)

–44.25

14.25

–11.21

44.25

Answers

Answer:

[tex] - 44.25[/tex]

Step-by-step explanation:

All i did was put it in a calculator

Answer:

hi the answer is :

-44.25

-6e+2=-10 What does E=

Answers

-6e+2=-10
-10 -2=-12
-6e=-12
-12/-6
E=2

Help me please ????????

Answers

Answer:

300

Step-by-step explanation:

YOU CAN TAKE WHATEVER THE ANSWER AND L x W x H to get that right answer

Answer:

1700 cm squared :)

Step-by-step explanation:

A cable company uses the formula S = 20,000 (1 + 0.08)^y to estimate the number of subscribers, S, that use their service after y years. If there were 20,000 cable television subscribers when the cable company began, what is the meaning of the expression (1 + 0.008) ^y?

Answers

Answer:

the expression above is

y = Subscribers after time t = S

a = Initial Subscribers =20,000

r = Growth rate = 0.08 = 8%

t = time in years = y

Step-by-step explanation:

The above question represents Exponential growth

Exponential growth formula =

y = a( 1 + r) ^t

Where:

y = Population after time t

a = Initial Population

r = Growth rate

t = time in years

S = 20,000 (1 + 0.08)^y

Hence, the expression above is

y = Subscribers after time t = S

a = Initial Subscribers =20,000

r = Growth rate = 0.08 = 8%

t = time in years = y

Segment MP is a diameter of circle O.

Circle O is shown. Line segment M P is a diameter. Line segment N O is a radius. Angle N O P is 150 degrees.

Which equation can be used to find mArc M N?

mArc M N – 150 = 360

Answers

Answer:

[tex]arc\ MN + 150 = 180[/tex]

Step-by-step explanation:

Given

[tex]\angle NOP = 150^\circ[/tex]

See attachment for circle O

Required

Find [tex]arc\ MN[/tex]

The sum of angles in a semi-circle is 180 degrees.

So:

[tex]arc\ MN + \angle NOP = 180[/tex]

This gives:

[tex]arc\ MN + 150 = 180[/tex]

Hence, the equation is: [tex]arc\ MN + 150 = 180[/tex]

Answer:

Step-by-step explanation:

just took exam and got 100%

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Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease. y=490(0.92)^x

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Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.

y=490(0.92)^x