The answer to this question is 58. This works because 5h = 5 * h and since h = 12 then that equals 60 and then you minus 2 from 60 and your answer is 58.

5 0

4 years ago

Read 2 more answers

In 1970, the population of a small town was 4,200. The population is decreasing at a rate of 2.4% per year. Which of the followi

JulijaS [17]

Answer:

a. y = 4,200 $0.976^{4t}$

b. 9.2%

Step-by-step explanation:

Given the information:

The intinital value: 4,200

The population is decreasing at a rate of 2.4% per year

=> the base number of the exponential function is:

100% - 2.4% = 97.6% = 0.976

Let t is quarter

Let y is the population

=> the following shows an exponential decay function to find the quarterly decay rate is:

y (t)= 4,200 $0.976^{4t}$

b. The population is decreasing by how much percent per quarter?

Let t = 0 we have: y(0) = 4,200 $0.976^{4*0} = 4200$

Let t = 1 we have: y(1) = 4,200 $0.976^{4*1} = 3811$

=> the decreasing percentage is:

= (y(0) - y(1)) / y(0)*100%

= (4200 - 3811) / 4200 *100%

= 389/4200*100%

= 9.2%

7 0

3 years ago

tim plotted the points (2,4) and (6,10). what is the equation of a line that passes through both of tim's points

alexandr1967 [171]

Answer:

y = (3/2)x + 1

Step-by-step explanation:

Moving from (2,4) to (6,10), we see that y increases by 6 and x by 4. Thus, the slope is m = rise / run = 6/4 = 3/2.

Starting with y = mx + b, subst. 3/2 for m, 4 for y and 2 for x, obtaining

b = 4 - (3/2)(2) = 4 - 3 = 1. Then the desired equation is y = (3/2)x + 1.

7 0

4 years ago