The correct answer would be 20 dollars I believe but that's what I believe you may have a different answer then what I got.
Answer: 7.2 months
Step-by-step explanation:
Hi, to answer this question we have to substitute f(x) =500 in the equation given:
f(x) = 100(1.25)^x
500= 100(1.25)^x
Solving for x (number of months)
500/100 = 1.25^x
5 = 1.25^x
log 5 =log 1.25^x
log 5 =x (log 1.25)
log 5 /log 1.25 =x
x = 7.2 months
Feel free to ask for more if needed or if you did not understand something.
Answer:
Add 1 to each side
Multiply each side by 4
Take the square root of each side
Subtract 5 from each side
Combine terms
Step-by-step explanation:
1/4(x+5)^2-1=3
Add 1 to each side
1/4(x+5)^2-1+1=3+1
1/4(x+5)^2=4
Multiply each side by 4
4*1/4(x+5)^2=4*4
(x+5)^2=16
Take the square root of each side
sqrt((x+5)^2)=±sqrt(16)
x+5 = ±4
Subtract 5 from each side
x+5-5 = -5 ±4
x = -5 ±4
Combine terms
x = -5+4 x = -5-4
x = -1 x = -9
To solve, we would use inverse operations.
4 - 7 = z + 7 - 7
= -3 = z
z = -3
Hope this helps! Have an awesome day :)