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amid [387]
2 years ago
13

50 POINTS SHOW YOUR WORK

Mathematics
1 answer:
aliya0001 [1]2 years ago
8 0

Answer:

The % growth rate is 15.8%.

Step-by-step explanation:

Let the function is given by f(w) = a(b)^{w}, where f(w) is the number of a specific product produced after w weeks.

Now, given for w = 0, f(0) = 190 = a

So, the function becomes f(w) = 190(b)^{w} ............. (1)

Now, it is also give that at w = 1, f(1) = 220.

So, from equation (1) we get,

220 = 190 (b)^{1} = 190b

⇒ b = 1.15789.

Now, b = 1 + r

⇒ 1.15789 = 1 + r

⇒ r = 0.15789

Therefore, the % growth rate is 0.15789 × 100% = 15.8% (Approx.)

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