If the solution exists, y=y....
3x+2=-x/4+1 make everything have a common denominator of 4...
(12x+8)/4=(-x+4)/4 now multiply both sides by 4
12x+8=4-x add x to both sides
13x+8=4 subtract 8 from both sides
13x=-4 divide both sides by 13
x=-4/13
x≈-0.31 and the only pair in your choices having an x value close to that is:
(-0.3, 1.1)
Answer:
The second bubble
Explanation
You need to make your exponents equal the other side so to do this;
Distribute the 3 in the exponent "3(x-2)"
Which is 3x-6
And since multiplying exponents adds them, you need a -6 to make the two equal.
So your exponent should equal -6 to make that statement true
Answer:
(a) The future value after 9 years is $7142.49.
(b) The effective rate is
.
(c) The time to reach $13,000 is 21.88 years.
Step-by-step explanation:
The definition of Continuous Compounding is
If a deposit of
dollars is invested at a rate of interest
compounded continuously for
years, the compound amount is

(a) From the information given



Applying the above formula we get that

The future value after 9 years is $7142.49.
(b) The effective rate is given by

Therefore,

(c) To find the time to reach $13,000, we must solve the equation


Step-by-step explanation:
We need to show whether

or

so we'll do either one of them,
we'll convert f(x) to f^-1(x) and lets see if it looks like g(x).

we can also write it as:

now all we have to do is to make x the subject of the equation.



now we'll interchange the variables

this is the inverse of f(x)

and it does equal to g(x)

Hence, both functions are inverse of each other!
This can be shown graphically too:
we can see that both functions are reflections of each other about the line y=x.
Answer:
22.5%
Step-by-step explanation: