Answer:
$3,113,34
Step-by-step explanation:
The formula for calculating compound interest is

Where
A=the future total value, i.e, the money you will have after t years.
P=the initial deposit.
r=the annual interest rate.
n=the number of times that interest is compounded per year.
t=the number of years the money is saved.
In our case
A is unknown and we will have to calculate it with the formula.
P=$12,000
r=2.9%=0.029
n=365 because the interest is compounded daily and there are 365 days in a year
t=8 years
Applying the formula we get



So A=15,113.336
This is the amount of money you would have after 8 years.
Subtracting the initial deposit from this amount we obtain the interest earned I
I=15,113.336-12,000=3,113.336
Rounded to the nearest hundreth
I=$3,113,30
Answer:
30
Step-by-step explanation:
Given: There are six finalists and two medals. That is it asks for the possibilities of 6 finalists taking two at a time. Say, for example the first and third finalist or the second and the sixth finalist and so on. The number of possibilities is given by 

So the number of possibilities of 6 finalists taken two at a time is 
![$ \implies \frac{6!}{(6 - 2)!} = \frac{6!}{4!} \hspace{15mm} [n! = n \times (n-1) \times (n - 2) \times . . . 2 \times 1] $](https://tex.z-dn.net/?f=%24%20%5Cimplies%20%5Cfrac%7B6%21%7D%7B%286%20-%202%29%21%7D%20%3D%20%5Cfrac%7B6%21%7D%7B4%21%7D%20%20%5Chspace%7B15mm%7D%20%5Bn%21%20%3D%20n%20%5Ctimes%20%28n-1%29%20%5Ctimes%20%28n%20-%202%29%20%5Ctimes%20.%20.%20.%202%20%5Ctimes%201%5D%20%24)

Answer:
-1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−4(y−2)=12
(−4)(y)+(−4)(−2)=12(Distribute)
−4y+8=12
Step 2: Subtract 8 from both sides.
−4y+8−8=12−8
−4y=4
Step 3: Divide both sides by -4.
−4y
−4
=
4
−4
y=−1
Answer:
10.8
Step-by-step explanation:
To find (f/g)(5), find f(5) and (g5) then divide the values.
f(5) = 7 + 4(5) = 27
g(5) = 1/2 (5) = 2.5
27/2.5 = 10.8
Answer:
x-2xt4
Step-by-step explanation: