jordan495413
13.02.2020 •
Mathematics
A stockbroker has money in three accounts. The interest rates on the three accounts are 10 % 10%, 11 % 11%, and 12 % 12%. If she has twice as much money invested at 11 % 11% as she does in 10 % 10%, three times as much at 12 % 12% as she has at 10 % 10%, and the total interest for the year is $ 136 $136, how much is invested at each rate?
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Ответ:
he invested $200 at 10%, $400 at 11% and $600 at 12%
Step-by-step explanation:
Let x represent the amount invested in the account earning 10% interest.
Let y represent the amount invested in the account earning 11% interest.
Let z represent the amount invested in the account earning 12% interest.
If she has twice as much money invested at 11 % as she does in 10 %, it means that
y = 2x
If she has three times as much at
12 % as she has at 10 %, it means that
z = 3x
The interest from the first account is
x × 0.1 × 1 = 0.1x
The interest from the second account is
y × 0.11 × 1 = 0.11y
The interest from the third account is
z × 0.12 × 1 = 0.12z
If the total interest for the year is $136, it means that
0.1x + 0.11y + 0.12z = 136 - - - - - - - - 1
Substituting y = 2x and z = 3x into equation 1, it becomes
0.1x + 0.11(2x) + 0.12(3x) = 136
0.1x + 0.22x + 0.36x = 136
0.68x = 136
x = 136/0.68 = 200
y = 2x = 2 × 200
y = $400
z = 3x = 3 × 200
z = $600
Ответ:
63,081,754
Step-by-step explanation:
sixty-three million: 63 (the millions place)
eighty one thousand: 081 (thousands place)
seven hundred fifty-four (hundreds place)