Let the number total slices = x
He ate (1/4) x
He has x - 1/4 x = 3/4 x slices left.
Each one of these slices is cut into 1/8s
T (total number of slices) = 8 * (3/4x)
T = (8*3/4) x
T = (24/4)x
T = 6x slices.
Answer:
k= -0.2
Step-by-step explanation:
3+2(5k-3)=7 (original)
3+10k-6=7 (distribute 2 in (5k-3))
9+10k=7 (combine like terms 3+-6)
10k=-2 (subtract 9 on both sides to isolate k)
k=-0.2 (divide 10 on both sides to get you're answer/isolate k)
Answer:
1,224,780
Step-by-step explanation:
44,700 × 27.4= 1,224,780
1) The accumulated amount after six years and the total interest that Trevor will receive if the interest rate is 4.5% per annum simple interest after 6 years are <u>R25,400</u> and <u>R5,400</u> respectively.
2) The accumulated amount after six years and the total interest that Trevor will receive if the interest rate is 4.5% per annum compound interest after 6 years are<u> R26,045.20</u> and <u>R6,045.20</u> respectively.
<h3>Data and Calculations:</h3><h3>Simple Interest:</h3>
Principal = R20,000
Investment period = 6 years
Interest rate = 4.5%
Simple interest for 6 years = R5,400 ($20,000 x 6 x 4.5%)
Principal + Interest = R25,400 (R20,000 + R5,400)
<h3>Compound Interest:</h3>
Principal = R20,000
Investment period = 6 years
Interest rate = 4.5%
N (# of periods) = 6 years
I/Y (Interest per year) = 4.5%
PV (Present Value) = R20,000
PMT (Periodic Payment) = R0
<u>Results</u>:
FV = R26,045.20
Total Interest = R6,045.2
Learn more about simple and compound interests at brainly.com/question/3575751
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Answer:
Rectangle 1 area: 53 units squared
Shape 2 area: 43.75 units squared
Step-by-step explanation:
Shape 1:
We need to find the area of the two triangles in this rectangle and subtract it from the total area of the rectangle.
Total area of the rectangle:
13 * 5 = 65
Area of triangles (they are congruent):
1/2 * 4 * 3 = 6
6 * 2 = 12
65 - 12 = 53
The area of the shaded part is 53 (I don't know what your unit of measurement is. Just say units.)
Shape 2:
First, let's find the area of the parallelogram at the top.
10 * 3 = 30
Now, let's find the area of the rest of the shape. Triangle first...
1/2 * 4 * 1.5 = 3
Now, the rectangle and the tiny triangle we can section out at the end:
7 * 1.5 = 10.5 + 1/4 (Triangle) or 0.25 = 10.75
Total area: 10.75 + 3 + 30 = 43.75
