Answer:
a) 1316 dollars
b) 6916 dollars
Step-by-step explanation:
Last year, Goran opened an investment account with 5600. At the end of the year, the amount in the account had increased by 23.5% .
a) How much is this increase in dollars?
The increase on dollars is calculated as:
5600 × 23.5%
= 1316 dollars
b) How much money was in his account at the end of last year ?
The amount of money in his account at the end of last year is calculated as:
Increase + Initial amount invested
=( 1316 + 5600) dollars
= 6916 dollars
Answer:
Step-by-step explanation:
f(x) = y = 3x/(8 + x) (I am assuming that the 8 + x is the denominator. Please use parentheses in the future if you forgot this. If there are no parentheses, then my solution will not work for you.)
Exchange x and y; that is, replace x by y and y by x simultaneously:
x = 3y/(8 + y).
Then use algebra to solve for y in terms of x:
(8 + y)x = 3y (multiply both sides by the denominator to clear the fraction)
8x + xy = 3y (distribute)
xy − 3y = −8x (rearrange terms with all y's on the left side of the equation)
y(x − 3) = −8x (factor out y as a common factor)
y = −8x/(x − 3) (divide by x − 3)
Finally, replace y by f-1(x):
f-1(x) = −8x/(x − 3).
This is the inverse of f(x). It can be checked by finding f(f-1(x)) and f-1(f(x)), and verifying that both equal x after simplifying.
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Answer:
2
Step-by-step explanation:
4x minus 4x then it leaves you with just 2 because the 4s cancel out