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Ganezh [65]
3 years ago
6

Tell whether the function shows growth or decay.

Mathematics
1 answer:
labwork [276]3 years ago
5 0

Answers:

Problem 7) Decay

Problem 8) Growth

Problem 9) Growth

==========================================

Explanation:

The base of the exponent will tell us if we have growth or decay.

In general, we have an equation in the form y = a*b^x with b as the base of the exponent

We can have b = 1+r where r is the growth rate. If r is negative, then that growth is really decay (or the amount is shrinking)

For problem 7, the base is 0.04 so 1+r = 0.04 leads to r = -0.96; so the amount is shrinking or decaying by 96% each time x increases by 1.

In problem 8, we have growth because 1.4 = 1+0.40 = 1+r so r = 0.40 = 40% growth

Finally, in problem 9, we can break up the base 6 into 6 = 1+5.0 = 1+r meaning r = 5.0 = 500% growth

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Henry knows that the circumference of a circle is 56.52 inches. What is the area of the circle? (Use 3.14 for  and round to the
ahrayia [7]

The area of circle is 254.34 square inches, if the  circumference of a circle is 56.52 inches.

Step-by-step explanation:

The given is,

                       Circumference of a circle is 56.52 inches.

                       \pi =3.14

Step:1

             Formula for circumference of circle is,

                                   Circumference, C = 2\pi r........................(1)

              Where, r - Radius of circle

              From the given,

                           C = 56.52 inches

              Equation (1) becomes,

                                          56.52 = 2 \pi (r)

                                          56.52 = (2) (3.14) (r)

                                          56.52 = 6.28 (r)

                                                 r = \frac{56.52}{6.28}

                                                  r = 9 inches

Step:2

             Formula for area of circle,

                                       Area,A = \pi r^{2}............................(2)

             Where, r  - Radius of circle

             From the given,

                               r = 9 inches

             Equation (2) becomes,

                               A = \pi  (9)^{2}

                                   = (3.14) (81)

                                   = 254.34

      Area of circle, A = 254.34 square inches

Result:

          The area of circle is 254.34 square inches, if the  circumference of a circle is 56.52 inches.

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Josh makes a $1500, 5% simple interest personal loan to his friend Sean for a period of 8 years. When Sean settles his loan at t
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Answer:

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