To get a fraction into a decimal, divide the numerator (the top of the fraction) by the denominator (the bottom). In this case, do 6 divided by 20.
You can also think the division bar (/) as "divided by." So 6 divided by 20.
6 divided by 20 = 0.30
To get a decimal into a percent, multiply by 100 (move the decimal point two places to the right). Then put % at the end.
0.30 = 30%
<h3>What would be the value of $150 after eight years if you earn 12 % interest per year? A. $371.39 B. $415.96 C. $465.88 </h3>
<em>The compound interest is applied, that is to say, each year the interest produced is accumulated to the outstanding capital and the interest of the next period is calculated on the new outstanding capital.</em>
The formula for calculating compound interest is:
Compound interest = Total amount of Principal and interest in future less Principal amount at present = [P(1 + i)ⁿ] – P
(Where P = Principal, i = nominal annual interest rate in percentage terms, and n = number of compounding periods)
[P(1 + i)ⁿ] – P = P[(1 + i)ⁿ – 1] = $150[(1 + 12/100)⁸ – 1] = $150[(1.12)⁸ – 1] = $150[2.47596317629 - 1] = $150[1.47596317629] = $221.39
Total amount = $150 + $221.39 = $371.39
Answer : A.) $371.39
Answer:
Step-by-step explanation:
<u>Solving in steps:</u>
- - 8 3/4 ÷ 2 1/6 =
- - 35/4 ÷ 13/6 =
- - 35/4 × 6/13 =
- - 35/2 × 3/13 =
- - 105/26 =
- - 4 1/26
So we have a rectangle, whose area is A=bh. We don't know any of those, so we've got a bit of thinking to do. (Wish I could draw a picture....) First of all, we only need to consider half the rectangle. Since it is bounded by a parabola that is symmetric over the y-axis (ie not moved left or right), the rectangle has the same area on the right and left. So let's just consider the first quadrant. Note that if we maximize this area, we maximize the entire rectangle's area. The width of this half rectangle is x (it's the x coordinate). The height of this rectangle is whatever the y coordinate of the corner is. That corner is directly above the x coordinate, and is on the rectangle. So the upper corner must have coordinates of (x, y), or (x, 8-x2). Those will serve as our base and height. A = x (8 - x2)A = 8x - x3 Maximize implies derivative = 0, so... dA = 8 - 3x20 = 8 - 3x23x2 = 8x2 = 8/3x = ±1.633 Notice that this is giving us two answers -- one of them is on the left (second quadrant), while the other is on the right. The y coordinates will be the same for both, due to the nature of this parabola. y = 8 - (1.633)2y = 8 - (8/3)y = 5.333 Our upper corners are (±1.633, 5.333). The dimensions are: Height: 5.333Width = (2 · 1.633) = 3.266 :)
Answer:
The height of the car at the end of the ride is 4 meters
Step-by-step explanation: