Given the circumstances, a triangle can be drawn on a circle where the hypothenuse is 5, the leg going right is 4, and the amount going up is 3 (Try visualizing it). Knowing that tangent is opposite over adjacent of theta, tangent would be 3/4

3 0

3 years ago

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

Please help me solve this equation

Masja [62]

Answer:

y = -9x + 4

The equation for slope is y=mx + b

3 0

3 years ago