Answer: The correct answer is Choice D.
This is an example of an exponential equation. They are in the form of y=ab^x, where a is the starting value, b is the rate and x is the number of years.
Our data starts at 2500 and increases by 5%, or 100% + 5% = 1.05.
If you put them together, you have the equation y = 2500(1.05)^x, Choice D.
If the angle in B is 45º, that means the angle in A is also going to be 45º, considering it's a right triangle, so AC and BC are they have the same length.
Then using Pythagoras, you'll get that

equals

.
Now, you know that AC=BC and that AB=24.
So you'll get

. You do the square root in both sides and you get that 2AC=24 and AC=12.
Now that you know that both AC and BC equal 12, you can find the area by just multiplying them and then diving them by 2. (The formula for the area of a triangle is half base multiplied by height, and in a right triangle, if a cathetus is the base, the other cathetus<span> will be the height)
And so the area is equal to 72.</span>
(2y² + 7y + 11) - (8y² - 5y + 7) you can distribute the negative sign to the second expression and then combine the like terms
new expression: (2y² + 7y + 11) (-8y² + 5y - 7)
2y² and -8y² equals -6y²
7y and 5y equals 12y
11 and -7 equals 4
The answer is -6y² + 12y + 4
9514 1404 393
Answer:
A
Step-by-step explanation:
Collecting terms of the expression, we have ...
x + 0.1x = x(1 +0.1) = 1.1x
In words, adding 10% is the same as multiplying the value by 1.1. Choice A is appropriate.