Respuesta :
Answer:
A=$2100
B=$1400
Step-by-step explanation:
3500*1.06=3710
a+b=3500
1.05a+1.075b=3710
1.05a+1.05b=3675
1.05a+1.075b=3710
Subtract 1.05a+1.05b=3675 from 1.05a+1.075b=3710
0.025b=35
b=1400
a=3500-1400=2100
Double check: (2100*1.05)+(1400*1.075)=3710
3500*1.06=3710
The amount invested in the account that pays a 5% interest is $2100 and the amount invested in the account that pays a 7.5% interest is $1400.
What is a system of equations?
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
0.05a + 0.075b = (0.06 x $3500)
0.05a + 0.075b = $210 ----- equation 1
a + b = $3,500 -------- equation 2
Where:
a is the amount invested in the account that paid a 5% interest.
b is the amount invested in the account that paid a 7.5% interest.
The amount invested in the account that pays a 7.5% interest.
In order to determine this value, multiply equation 2 by 0.05
0.05a + 0.05b = 175 ------- equation 3
0.025b = 35
b = $1400
The amount invested in the account that pays a 5% interest.
a + $1400 = $3500
a = $3500 - 1400
a = $2100
Therefore, The amount invested in the account that pays a 5% interest is $2100 and the amount invested in the account that pays a 7.5% interest is $1400.
Learn more about equations here;
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