Answer:

Step-by-step explanation:
The inverse operation for an exponential (
) is the logarithm:
.
Answer:
12 chocolates
Step-by-step explanation:
Represent the original number of chocolates by c.
Then (1/4)(2/3)c = 2
Solving this for c, we multiply both sides by 4: (2/3)c = 8
and then multiply both sides by (3/2): c = (3/2)(8) = 12
Originally the box contained 12 chocolates.
Answer: 35 advance, 30 same day
Step-by-step explanation:
$35 * A + $15 * S = $1675
A + S = 65 So. A = 65 - S
Plug in for A:
35(65-S) + 15S = 1675
2275 - 35S + 15S = 1675
-20S = -600
S = 30 same day tix
A = 35 advance tix
The most used payment plan to avoid being in debt today is the 20% payment plan. In this payment , you divide your income into several parts.
20% for paying up debts, 10 % for savings, and 70% for everything else.
So, assuming that x is the minimum amount of money, we know that
$ 512 + $70 = 20% . X
$ 582 = 0.2 . x
$ 582 / 0.2 = x
x = $ 2910
We have a square garden of 400 square foot.
The area of a square is:

where x: side length.
In this case:
![\begin{gathered} A=400=x^2 \\ x=\sqrt[]{400}=20\text{ ft} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20A%3D400%3Dx%5E2%20%5C%5C%20x%3D%5Csqrt%5B%5D%7B400%7D%3D20%5Ctext%7B%20ft%7D%20%5Cend%7Bgathered%7D)
The perimeter of the square is the sum of the lengths of the sides of the square. As they are all equal, we can write:

The fencing is priced at $1.50 per foot. If we add the 7% sales tax to this price we get:

The fencing will be installed in all the perimeter (80 ft).
We can calculate the total cost by multiplying the sales price ($1.605 per foot) and the perimeter (80 ft):

Answer: the fencing will cost a total of $128.40