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expeople1 [14]
2 years ago
8

Last summer, Betty earned $4200 by painting houses. She invested

Mathematics
2 answers:
rewona [7]2 years ago
7 0

Answer: She invest $1500 in saving account and $2700 in government bond.

Step-by-step explanation:

Since we have given that

Total amount she wants to invest = $4200

Rate of interest she get in a saving account = 3.5%

Rate of interest she get in a government bond = 4.5%

Let the amount he invested in saving account be 'x'.

Let the amount he invested in government bond be 'y'

Total interest she earned = $174

According to question, it becomes,

x+y=\$4200--------(1)\\0.035x+0.045y=174-----(2)

Using Elimination method, we get that

0.035x+0.035y=147\\\\0.035x+0.045y=174\\\\-------------------------------------\\\\-0.010y=-27\\\\=\dfrac{27}{0.010}=\$2700\\\\and\\\\x+2700=4200\\\\x=4200-2700=\$1500

Hence, She invest $1500 in saving account and $2700 in government bond.

Margaret [11]2 years ago
6 0

x*(1.035) + (4,200-x)*(1.045) = 4,374.00

1.035x + 4,389.00 -1.045x = 4,374.00

15.00  = .01x

x = 1,500  so x (or 1,500) invested at 3.5% and

(4,200 - 1,500) (or 2,700) invested at 4.5%


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<u>Step-by-step explanation:</u>

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