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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58

Problem 48 Hard Difficulty

Solve each problem by using a system of three equations in
three unknowns.

Paranoia. Fearful of a bank failure, Norman split his life savings of 60,000 dollars among three banks. He received 5 \%,6 \%, and 7 \% on the three deposits. In the account earning 7 \% interest, he deposited twice as much as in the account earning 5 \% interest. If his total earnings were 3760 dollars, then how much did he deposit in each account?

Answer

$\$ 16,000$, $\$ 12,000$, $\$ 32,000$

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Systems of Linear Equations

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Watch More Solved Questions in Chapter 4

Problem 1
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Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
Problem 19
Problem 20
Problem 21
Problem 22
Problem 23
Problem 24
Problem 25
Problem 26
Problem 27
Problem 28
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Problem 30
Problem 31
Problem 32
Problem 33
Problem 34
Problem 35
Problem 36
Problem 37
Problem 38
Problem 39
Problem 40
Problem 41
Problem 42
Problem 43
Problem 44
Problem 45
Problem 46
Problem 47
Problem 48
Problem 49
Problem 50
Problem 51
Problem 52
Problem 53
Problem 54
Problem 55
Problem 56
Problem 57
Problem 58

Video Transcript

guy with three bank accounts. You called him X, Y and Z. You know, the total amount invests these bank accounts equals $60,000. You know the return he gets from each of them get 0.5 in the 1st 1 You know, six from the 2nd 1 and point those seven from the third walk. You know, his total return is 3760. Finally, we know the amount invested in the third equals two times The amount invests in the first. So now we solved here. We have Z equals two acts. Um, so we have bad in terms of X. Now I have to get why, in terms of acts, why equals 60,000 minus Z, which we noticed. Two acts minus X B minus reacts. So now we have 20.5 problems, X plus point of six times 60,000 my reacts plus point of seven. I'm two X is gonna equal 3760. We'll solve this us What? 06 times 60,000 is 3600 minus on a 20 thanks, plus 0.14 acts because +37 its well appointed five x 0.14 Accident minus point 18 x That's 180.1 acts equals 160. So now the axe is gonna equal 16,000. It's Z equals 32,000. Misuse of why equals 60,000 minus 40,000. 12 1000 right?

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