Answer:
f(-4) = -6
g(2) = -14
Step-by-step explanation:
To evaluate a function we must plug in the values of x. So for:
f(x) = 2x+2
we have:
f(-4) = 2(-4)+2
then we simplify:
f(-4) = -8+2
so f(-4) = -6
Now the same steps are taken for g(x) in which the answer would be -14.
It is to be solved by reminder thorem
f(x)/(x-k) will have reminder f(k),
so, f(2) = 5*(2^4) + 8 *(2^3) +4* (2^2) -5(2) +67
=5*16 + 8*8 +4*4 -5*2 +67
=80 + 64 + 16 -10 +67
= 217
Answer: $19.02
Step-by-step explanation:
First find the sales tax paid. It will be paid on the cost of the meal:
= 14.20 * 8%
= $1.14
Then find the tip which was done after the sales tax was added:
= 24% * (14.20 + 1.14)
= 24% * 15.34
= $3.68
The total cost is:
= Gross amount + Sales tax + tip
= 14.20 + 1.14 + 3.68
= $19.02
Let x be the amount of money, you fund in Fund A and y be the amount of mone yyou fund in Fund B.
1. You have 250,000 In an IRA at the time you retire and want to invest this money into Funds A and B, then

2. Fund A pays 1.2% (as a decimal 1.2% is 0.012) annually, then
is annual interest income in Fund A.
Fund B pays 6.2% (as a decimal 6.2% is 0.062) annually, then
is annual interest income in Fund B.
Since Fund A and Fund B produce an annual interest income of $8,000, then

3. Solve the system of equations:

Express x from first equation
and substitute it into the second equation

Multiply this equation by 1000:

Then

Answer: you have to fund $150,000 in Fund A and $100,000 in Fund B.