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san4es73 [151]
2 years ago
11

A quantity with an initial value of 240 grows exponentially at a rate of 9.5% every 2 decades. What is the value of the quantity

after 52 years, to the nearest hundredth?
Mathematics
1 answer:
postnew [5]2 years ago
8 0

Answer:  303.870087962229

Simplify ≈303.87

Step-by-step explanation:

Grows 9.5%→r=0.095 Divide by 100

Grows every 2 decades: exponent of t2

(where t is in decades)

Write a function:

f(t)=240(1+0.095) ^t/2 Percent change every 2 decades

52 years→52/10→5.2 decades There are 10 years in a decade

Plug in t=5.2

f(5.2)=240(1+0.095) 5.2/2

Answer:  303.870087962229

≈303.87

Round to the nearest hundredth

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