Answer:
Step-by-step explanation:
![5\sqrt[3]{x+8}=35\\ \\ \sqrt[3]{x+8}=7\\ \\ x+8=7^3\\ \\ x+8=343](https://tex.z-dn.net/?f=5%5Csqrt%5B3%5D%7Bx%2B8%7D%3D35%5C%5C%20%5C%5C%20%5Csqrt%5B3%5D%7Bx%2B8%7D%3D7%5C%5C%20%5C%5C%20x%2B8%3D7%5E3%5C%5C%20%5C%5C%20x%2B8%3D343)
Answer:
The last graph
Step-by-step explanation:
The problem presented here is similar to a compound interest problem since we have an initial value, a growth constant and the aspect of time.
We can consider the number of television sets currently produced by the company to be our Principal amount;
P = 2000
The rate of increase in production per month can be considered as our interest rate earned;
r = 25% = 0.25
The total number of television sets y will be our Accumulated amount;
A = y
The duration x becomes our time n.
The compound interest formula is given as;

We simply substitute the given information into the formula;

This is an exponential growth function since the base of the exponent x is greater than 1.
A graph of the function will be an exponential curve passing through ( 0, 2000) since 2000 is our initial value
Answer:
It turns out that all three altitudes always intersect at the same point - the so-called orthocenter of the triangle. The orthocenter is not always inside the triangle. If the triangle is obtuse, it will be outside. To make this happen the altitude lines have to be extended so they cross.
Answer:Z=1
Step-by-step explanation: if it is 11z+5, then... minus 9z on each side to get 2z+5=7. Minus 5 on each side to get 2z=2. Divide bboth sides by two to get 1z=1.
Answer: She has 40 nickels and 40 quarters .
Step-by-step explanation:
Let be "n" the number of nickels Theresa has and "q" the number of quarters Theresa has.
You know that she has a total of $12 in nickels and quarters. In cents, this is:

Then, based on this you can write the following expression:

Since
, you can rewrite it as:

Solving for "n", you get:

Therefore she has 40 nickels and 40 quarters .