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anonymous
 one year ago
*MEDAL and FAN*
Because of the rainy season, the depth in a pond increases 3% each week. Before the rainy season started, the pond was 10 feet deep. What is the function that best represents the depth of the pond each week and how deep is the pond after 8 weeks? Round your answer to the nearest foot.
Hint: Use the formula, f(x) = P(1 + r)x.
A. f(x) = 10(0.03)x, 36 feet
B. f(x) = 10(1.03)x, 14 feet
C. f(x) = 10(1.3)x, 37 feet
D. f(x) = 10(1.03)x, 13 feet
anonymous
 one year ago
*MEDAL and FAN* Because of the rainy season, the depth in a pond increases 3% each week. Before the rainy season started, the pond was 10 feet deep. What is the function that best represents the depth of the pond each week and how deep is the pond after 8 weeks? Round your answer to the nearest foot. Hint: Use the formula, f(x) = P(1 + r)x. A. f(x) = 10(0.03)x, 36 feet B. f(x) = 10(1.03)x, 14 feet C. f(x) = 10(1.3)x, 37 feet D. f(x) = 10(1.03)x, 13 feet

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0P is the initial value. What is the initial depth?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0It's given in the second sentence of the problem.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Right. Now r is the percent change from week to week, EXPRESSED AS A DECIMAL. What is r?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Exactly. Now put these values into\[f\left( x \right) = P \left( 1+r \right)^{x}\]What do you get?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0f(x) = P(1 + 0.03) \[^{x}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Good. But you can simplify (1+0.03), right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Good. Put it all together.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Excellent. Now you're down to two possible answers. To calculate the depth after 8 weeks, calculate f(8). What do you get?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Uhhh do I replace x with 8?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0In other words, calculate\[f \left( 8 \right) = 10\left( 1.03 \right)^{8} = ?\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Not what I get. Try again. Remember, calculate 1.03^8 first, then multiply by 10.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.012.66770081387616 D:

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Perfect. Round it to get your answer. Well done!
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