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Sagot :
Answer:
[tex]Amount\ at\ 2 \%=9000[/tex]
[tex]Amount\ at\ 4\% =2000[/tex]
Step-by-step explanation:
From the question we are told that
Principle [tex]P=1000[/tex]
Rate 1 [tex]r_1=2\%[/tex]
Rate 1 [tex]r_2=4\%[/tex]
Total Interest [tex]I=\% 260[/tex]
Let
Amount at [tex]2 \%=x[/tex]
Amount at [tex]4\% =11000-x[/tex]
Generally the equation for the simple interest is mathematically given as
[tex]\frac{x*2*1}{100} +\frac{(11000-x)*4*1)}{100} =260[/tex]
[tex]2x+44000-4x=26000[/tex]
[tex]2x-4x=26000-44000\\[/tex]
[tex]2x=18000[/tex]
[tex]x=9000[/tex]
[tex]Amount\ at\ 2 \%=9000[/tex]
Therefore
Amount at [tex]4\% =11000-x[/tex]
Amount at [tex]4\% =11000-9000[/tex]
[tex]Amount\ at\ 4\% =2000[/tex]
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