Answer:
$7,544.58
Step-by-step explanation:
We will use the compound interest formula provided to solve this:

<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
<em />
First, change 3.3% into its decimal form:
3.3% ->
-> 0.033
Since the interest is compounded monthly, we will use 12 for n. Lets plug in the values now:


The balance after 1 year will be $7,544.58
Answer: The ramp would be 15.5 feet long.
Step-by-step explanation: Please refer to the attached diagram for details.
Angle C shows the angle to be formed by the ramp from the ground, which is 15 degrees. Also, from the ground, it’s going to be four feet tall, which is line AB. The top of the ramp is point A, which makes line AC the entire length of the ramp. Since we have a reference angle (angle C) and two sides, the opposite and the hypotenuse, we shall apply the trigonometric ratio.
SinC = opposite/hypotenuse
Sin 15 = 4/b
By cross multiplication we now have
b = 4/Sin15
b = 4/0.2588
b = 15.4599
Approximately b = 15.5
Therefore the length of the ramp would be 15.5 feet
Price of Brand A toothpaste for 17.4 ounces = <span>$5.22
</span>Price of Brand A toothpaste for 1 ounce = $5.22/17.4 = 0.3
Price of Brand B toothpaste for 26.6 ounces = $6.65
Price of Brand B toothpaste for 1 ounces = $6.65/26.6 = 0.25
So, if we see the price for per ounce of brand A and B, price of Brand B per ounce is less than brand A.
and if we find the difference between the prices of both = 0.3 - 0.25 = 0.05
Thus, the correct answer is "D", <span>Brand B is the better deal, because it costs $0.05 less per ounce than Brand A".</span>
Answer:
-2
Step-by-step explanation:
-5n + 18
where n is the number of the term