Answer: Choice A) 1/9
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Work Shown:
Replace every x with -4 and then simplify the right side
f(x) = 9(3)^x
f(-4) = 9(3)^(-4)
f(-4) = 9*(1/(3^4)) See note below
f(-4) = 9*(1/(3*3*3*3))
f(-4) = 9*(1/81)
f(-4) = 9/81
f(-4) = 9/(9*9)
f(-4) = 1/9
Note: I used the rule x^(-n) = 1/(x^n) which allows us to convert from negative exponents to positive ones.
Answer:
First number: 71/7
Second number: 135/7
Third number: 270/7
Step-by-step explanation:
First number = x
Second number= 2x-1
Third number= 2(2x-1)
x+(2x-1)+2(2x-1)= 68
3x-1+4x-2=68
7x-3=68
7x=71
x=71/7
You can check by plugging in the x into the equation.
Answer: -1/2
Step-by-step explanation:
Slope is change in y over change in x. Y shifts down -1, while X shifts to the right 2
1 ) first offer
total payments
375.76×12×4
=18,036.48
Interest paid
18,036.48−16,000
=2,036.48
Second offer
Total payments
390.61×12×4
=18,749.28
Interest paid
18,749.28−16,000
=2,749.28
Larry will save of taking 6% loan
2,749.28−2,036.48=712.8. .answer
2) credit card 1
Total payments
277.09×12
=3,325.08
Interest paid
3,325.08−3,000
=325.08
Credit card 2
Total payments
152.69×12×2
=3,664.56
Interest paid
3,664.56−3,000
=664.56
Susan will save
664.56−325.08
=339.48...answer
Hope it helps!