Mrs. Bautista invested Php2700.00 part at 8% and the rest at 11% .How musch did she invest at each rate if her total annual income from both

Question

Mrs. Bautista invested Php2700.00 part at 8% and the rest at 11% .How musch did she invest at each rate if her total annual income from both investment was Php2460.00?

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Ximena 1 month 2021-11-08T12:49:17+00:00 1 Answer 0 views 0

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    2021-11-08T12:51:08+00:00

    Answer:

    The answer to the question is

    She invested

    Php2700.00 at 8 % and

    Php 20,400.00 at 11 %

    Step-by-step explanation:

    To solve the question we note that

    Simple interest is given by \frac{P*R*T}{100} where

    P= Principal, R = Rate and T = Time

    If we call the first part P₁, T₁,  and R₁ and the second part

    P₂, T₂,  and R₂

    Then {P_1*(1+R_1*T_1}) +{P_*(1+R_2*T_2})  = 2460.00

    = 2700×0.08×1 + P₂×0.11×1 = 2460  which gives

    2244÷0.11 = P₂ or P₂ = Php 20,400.00

    That is she invested

    Php2700.00 at 8 % and

    Php 20,400.00 at 11 %

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