Euricahacostaidn
Answered

IDNStudy.com, ang iyong gabay para sa maaasahan at eksaktong mga sagot. Sumali sa aming komunidad ng mga bihasa upang makahanap ng mga sagot na kailangan mo sa anumang paksa o problema.

Phyllis invested $12,000, a portion earning a simple interest rate of 4 1/2% per year and the rest earning a rate of 4% per year.After 1 year the total interest earned on these investments was $525.How much money did she invest at each rate ?

Sagot :

Shinalcantaraidn
let 'x' be the amount invested at 4.5%
    'y' be the amount invested at 4%
Since you are provided that the total investments earned 525 then you'll have the equation as:
 0.045x + 0.04y = 525   -----equation 1
You're given the total amount of 12,000 then
 x + y = 12,000     -------equation 2
transposing x to the right side for equation 2
 y = 12,000 - x   ---------equation 3
substitute equation 3 to equation 1
 0.045x + 0.04y = 525
 0.045x + 0.04(12,000-x) = 525
 0.045x + 480 - 0.04x = 525
 0.045x - 0.04x = 525 - 480
0.005x = 45
       x = 9,000
substitute the value of 'x' to equation 3
 y = 12,000 - x 
 y = 12,000 - 9,000
 y = 3,000
JamMantalabaidn
Let  x be the amount invested at 4.5%.
    y be the amount invested at 4%.

Since you are provided that the total investments earned 525, then you'll have the equation as:
 0.045x + 0.04y = 525  
Total amount of 12,000 then:
 x + y = 12,000    
Transpose x to the right side:
 y = 12,000 - x  
Substitute equation 3 to equation 1
 0.045x + 0.04y = 525
 0.045x + 0.04(12,000-x) = 525
 0.045x + 480 - 0.04x = 525
 0.045x - 0.04x = 525 - 480
0.005x = 45
       x = 9,000
Substitute the value of x to equation 3:
 y = 12,000 - x 
 y = 12,000 - 9,000
 y = 3,000
Salamat sa iyong kontribusyon. Huwag kalimutang bumalik upang magtanong at matuto ng mga bagong bagay. Ang iyong kaalaman ay mahalaga sa ating komunidad. Bawat tanong ay may sagot sa IDNStudy.com. Salamat at sa muling pagkikita para sa mas maraming solusyon.