Help please in picture below

Does each function describe exponential growth or decay?

Aleksandr [31]

<h3>Answer: Only first two are exponential growth function and last three functions are exponential decay functions.</h3>

Step-by-step explanation: We need to describe exponential growth or decay for the given functions.

The standard exponential function equation is

$y=a(b)^x$ .

Where a is the initial value and b is the growth factor.

Note: If value of b > 1, it would be an exponential growth and if b < 1, it would be an exponential decay.

Let us check them one by one.

$y=(1.008^{1/12}})^{12t}$ => $y=(1.008^})^{1/12\times{12t} }$

=> $y= (1.008)^t$ .

Value of b is 1.008 > 1, therefor it's an exponential growth function.

y=250(1+0.004)^t, also have b>1 therefor it's an exponential growth function.

All other functions has b values less than 1, therefore only first two are exponential growth function and last three functions are exponential decay functions.

5 0

3 years ago

What is a compass used for?

Annette [7]

1. Measure and angle in degree

4 0

3 years ago

Read 2 more answers

Help me!! A water tank is 1/8 full. The tank is 3/4 full when 42 gallons of water is added to the tank. How much can the water t

chubhunter [2.5K]

Answer(s):

1.) 56 gallons

2.) 7 gallons

3.) 28 gallons

Step-by-step explanation:

Q1: How much water can the tank hold?

Based on the question, we know that 3/4 of the tank equals 42 gallons. Divide 42 by the numerator, 3.

42/3 = 14

Now, multiply 14 by the denominator, 4.

14 x 4 = 56.

So, the tank can hold 56 gallons. [If you'd like to double check this answer, take the fraction 42/56 and simplify it to get 3/4.

Q2: How much water was originally in the tank?

We know that the tank's maximum capacity is 56 gallons. So, if it was 1/8 originally full, multiply 56 by 1/8. [Remember that 56 as a fraction can be written as 56/1]

1/8(56/1) = 7

This means that the tank was originally 7 gallons full. [If you'd like to double check this answer, take the fraction 1/8 and multiply the numerator and denominator by 7. This gets you 7/56, or 7 gallons out of the total capacity, 56 gallons.]

Q3: How much water is in the tank when it is 1/2 full?

Earlier, we found out that the maximum capacity of the tank is 56 gallons. To find out how many gallons it holds when its half full, divide 56 by 2.

56/2 = 28

So, when the tank is 1/2 full, it contains 28 gallons. [If you want to double check this answer, take the fraction 28/56 and simplify it. When you do, you get 1/2.]

5 0

3 years ago

Read 2 more answers

The price of a television in a certain store was a dollars in June. On the first day of each month after June, the price was red

Shtirlitz [24]

Answer:

0.8

Step-by-step explanation:

multiply 1.00 .20 4 times

6 0

2 years ago

Helppppppppppppppppp

Anna [14]

If the slope is given then all is left is y-intercept which is equal to -3 which is also given in the question from the point (-4,-3), then your equation would be complete if you have these two so I think the answer is y=3/4x-3 and I’m really sorry if my answer is wrong but i tried my best and good luck!!

8 0

3 years ago