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Anarel [89]
2 years ago
11

Im stuck on this problem. Please explain how you got your answer​

Mathematics
1 answer:
klemol [59]2 years ago
4 0

The function y=0.3^x represents exponential growth with the initial value equal to 1, the decay factor equal to 0.3, and the rate equal to 0.7.

<h3>Population Growth Equation</h3>

The formula for the Population Growth Equation is:

P_f=P_o*(1+\frac{R}{100}) ^t

           

Pf= future population

Po=initial population

r=growth rate

t= time (years)

growth or decay factor =  (1 ±r)

When 1+R  > 1, the equation represents growth, while 1+R < 1 the equation represents decay.

The question gives:

y=0.3^x, then

Pf=y

Po= 1  

(1+\frac{R}{100}) =0.3 , thus

(100+R}) =30\\ \\ R=-100+30\\ \\ R=-70

r= -70%= -0.7

decay factor= (1-0.7)=0.3

Therefore,

1+R will be = 1+(-0.7)=1 - 0.7 =0.3

When 1+R >1, the function represents exponential growth.

Read more about the exponential function here:

brainly.com/question/8935549

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13) What is the simple interest and total amount earned on $4345 with an interest rate of
Annette [7]

Answer:

173.80 interest, 4518.80 total

Step-by-step explanation:

4345 X .03(3%)=130.35/year

130.35/12=10.8625/month

10.8625 x 16 months = 173.80 interest over 16 months

4345+173.80=4518.80 total amount

6 0
3 years ago
a fishbowl shaped like a sphere is filled with water. The fishbowl has a diameter of 16 inches. Which measurement is closest to
gregori [183]

Answer:

The volume of the water in the fishbowl is equal to

(682\frac{2}{3})\pi\ in^{3}  or  2,144.6\ in^{3}

Step-by-step explanation:

we know that

The volume of the sphere (a fishbowl) is equal to

V=\frac{4}{3}\pi r^{3}

In this problem we have

r=16/2=8\ in ----> the radius is half the diameter

substitute

V=\frac{4}{3}\pi (8^{3})=\frac{2,048}{3}\pi\ in^{3}

convert to mixed number

\frac{2,048}{3}\pi\ in^{3}=\pi (\frac{2,046}{3}+\frac{2}{3})=(682\frac{2}{3})\pi\ in^{3}

(3.14156)*(682\frac{2}{3})=2,144.6\ in^{3}

6 0
3 years ago
Read 2 more answers
4/5 minus 1/3 plz i need help
IRISSAK [1]

Answer:

7/15

Step-by-step explanation:

Step 1

We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 4 by 3, and get 12.

Then we multiply 1 by 5, and get 5.

Next we give both terms new denominators -- 5 × 3 = 15.

So now our fractions look like this:

12

15

−  

5

15

Step 2

Since our denominators match, we can subtract the numerators.

12 − 5 = 7

So the answer is:

7

15

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

No good. 11 is larger than 7. So we're done reducing.

6 0
2 years ago
If a person were to walk around the base of a
alexira [117]

Answer:

They walked about 125.6 meters

Step-by-step explanation:

40 is the diameter and just multiply it by 3.14

8 0
2 years ago
What is the rate of 13 inches of snow in 8 hours?
seraphim [82]

Answer: 1.625 inches of snow per hour

Step-by-step explanation:

13 divided by 8 is 1.625

6 0
2 years ago
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