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Let (t0,P(t0))\left(t_{0}, P\left(t_{0}\right)\right) Be the Intersection of the Graphs of the Two Exponential

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Let (t0,P(t0))\left(t_{0}, P\left(t_{0}\right)\right) be the intersection of the graphs of the two exponential functions P=a(1+r)tP=a(1+r)^{t} and P=b(1+s)tP=b(1+s)^{t} , where 0<a<b0<a<b . If rr is increased, does P(t0)P\left(t_{0}\right) increase, decrease, or stay the same?

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