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Step2247 [10]
3 years ago
8

Nico is saving money for his college education. He invests some money at 9% and $1400 less than that amount at 3%. The investmen

ts produced a total of $198 interest in 1 yr. how much did he invest at each rate?
Mathematics
1 answer:
AleksandrR [38]3 years ago
6 0
Let x = the amount of money he invests at 9%
and y = the amount of money he invests at 3%

y = x - 1400
0.09x + 0.03y = 198

x - y = 1400
9x + 3y = 19800

3x - 3y = 4200
9x + 3y = 19800

12x = 24000
x = 2000
y = 600

$2000 invested at 9% interest
and $600 invested at 3% interest.
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The regression equation which correctly models the data in this table is y = 1.49x - 107.5,

<h3>How to determine the regression equation?</h3>

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Mathematically, the regression equation is represented by the following slope equation:

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Next, we would determine A by using this expression:

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A = (32,377,368 - 32,515136)/(5×80142 - 399,424)

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