Apparently, the calculator at the link in your lesson is fully capable of giving you the necessary numbers. My own TI-84 work-alike gives me the account balances, but the rest of the numbers need to be figured.
In 30 years, there are 12×30 = 360 months, or 4×30 = 120 quarters. See the calculator results below. Your table can be filled in using the given information to find the contribution amount. The calculator gives the final balance. The interest amount is found by subtracting the contribution amount from the final balance.
There would be 4354 stores in 2016. Hope this helps :)
Imagine that the variable c represents something tangible, like an orange. So what this equation is asking is subtract 1 orange from 12 oranges. So you are left with 11 oranges.
Another way to think about this problem is if you rewrite the equation slightly to:
12c - c =
12c - 1c =
11c
Answer:
D. The graph of function is the graph of function shifted 4 units to the left.
Step-by-step explanation:
the function is composite function between and , then you can re-write as:
The transformation happened in the input, then you have an horizontal shifted and how it's adding 4 units then you go "faster" and move to left the graph.
In the image you can see what's mean sum a constant in the of a function.
In order to easily picture out the operation involving fractions, let's write it in an algebraic equation. So, the above description is written as
20x⁶/15y⁵ × 5y²/6x⁴
The first thing to do is to simplify the easiest terms: the constants. Just multiply all the constants on the numerator and all the constants on the denominator independently. The simplified constant becomes
(20*5)/(15*6) = 10/9
So, the equation to be solved now is
10x⁶y²/9y⁵ x⁴
So, I also multiplied all the variables in the numerator and denominator independently, just like the constants. Then, you apply the laws of exponents. When you divide terms with exponents of the same value of the base, you subtract the exponent on the numerator minus the denominator. It goes like this:
10/9 * x⁶⁻⁴*y²⁻⁵ = 10/9*x²y⁻³
Now, when the exponent as written to the power of a negative exponent, just simply take its reciprocal to make it positive. So, the final answer is
10x²/9y³ or that is letter D.