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2 years ago

Help me with this question please

Mathematics

1 answer:

ivolga24 [154]2 years ago

7 0

Answer:

D. 2019

Step-by-step explanation:

So I started by rewriting the function f(x)

1000 = 10^3 so

f(x)=10^3 times 1.03^x

1.03 = 103/100 so

f(x)= 10^3 times (103/100)^x

to raise a fraction to a power you just raise the numerator and denominator to that power so

f(x)= 10^3 times 103^x/100^x

change it to exponential form with a base of 10

f(x)=10^3 times 103^x/10^2x

then you can reduce it with the 10^3

f(x)=103^x/10^2x-3

so now that thats in more of a standard form you can find the intersection of the two functions

which is at (9.012,1305.244)

x is the number of years after 2010, so they will be equal ~9 years after 2010, which is 2019.

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Step-by-step explanation:

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