(30pts)
2.the amount of fertilizer in a landscaping company’s warehouse decreases at a rate of 3% per week. the amount of fertilizer in the warehouse was originally 78,000 cubic yards. what function models the amount of fertilizer in cubic yards left after w weeks?

exponential growth: y=a*b^x where a initial amount and b is the growth factor.
sarah identified the initial amount as 78000 and the rate as 3%. she wrote her equation as: y=78,000 〖(3)〗^x.

error:

correct solution:

y = a(1-r)^×

source: https://mathbitsnotebook.com/Algebra2/Exponential/EXGrowthDecay.html

y = exponential decay

a = initial amount = 78000

r = decay rate = .03

x = number of time intervals = w

Error:

b = growth/ decay factor

b = 1+r for growth

b = 1-r for decay

x = w per the above information

Sarah did not account for either of these points when creating her equation.

Correct solution:

y = 78000 (1-.03)^w

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet

step-by-step explanation: it is d