Pierre inherited $ 120 , 000 from his uncle and decided to invest the money. He put part of the money in a money market account that earns 2.2 % simple interest. The remaining money was invested in a stock that returned 6 % in the first year and a mutual fund that lost 2 % in the first year. He invested $ 10 , 000 more in the stock than in the mutual fund, and his net gain for 1 yr was $ 2820. Determine the amount invested in each account.
Pierre inherited $ 120 , 000 from his uncle and decided to invest the money. He put part of the money in a money market account that earns 2.2 % simple interest. The remaining money was invested in a stock that returned 6 % in the first year and a mutual fund that lost 2 % in the first year. He invested $ 10 , 000 more in the stock than in the mutual fund, and his net gain for 1 yr was $ 2820. Determine the amount invested in each account.
Solution Summary: The author calculates the amount invested in each account based on the data provided.
Pierre inherited
$
120
,
000
from his uncle and decided to invest the money. He put part of the money in a money market account that earns
2.2
%
simple interest. The remaining money was invested in a stock that returned
6
%
in the first year and a mutual fund that lost
2
%
in the first year. He invested
$
10
,
000
more in the stock than in the mutual fund, and his net gain for
1
yr
was
$
2820.
Determine the amount invested in each account.
A 20 foot ladder rests on level ground; its head (top) is against a vertical wall. The bottom of the ladder begins by being 12 feet from the wall but begins moving away at the rate of 0.1 feet per second. At what rate is the top of the ladder slipping down the wall? You may use a calculator.
Explain the focus and reasons for establishment of 12.4.1(root test) and 12.4.2(ratio test)
University Calculus: Early Transcendentals (4th Edition)
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