Answer:
see explanation
Step-by-step explanation:
The area (A) of a regular decagon ( 10 sided ) is calculated as
A = 0.5 × perimeter × apothem
Here side length = 3.25, hence perimeter = 10 × 3.25 = 32.5 m, thus
A = 0.5 × 32.5 × 5 = 81.25 m²
First to get the equation you knew to understand one thing about perpendicular lines. The slope of the line is the opposite reciprocal of the perpendicular lines or the new slope is m = 10.
Then you use the formula
y = mx + b
you plug in your values from the point and the new slope.
(1,5) with new slope m
5= 10(1)+b
5-10=b
-5 = b
then make your new equation
y = 10x -5
that's your line that goes through point (1,5) and is perpendicular to the line given
Answer:
141 square inches
Step-by-step explanation:
Area of a triangle: Base*Height*1/2
Area of a trapezoid: Height * (Base1 +Base2) / 2
Triangle Base = 6
Triangle Height = 8
6*8*1/2 = 24 square inches
Trapezoid Height = 9
Trapezoid Base1 = 16
Trapezoid Base2 = 10
9*(16+10) / 2 = 117 square inches
Total = Area of triangle + Area of trapezoid
Total = 24 + 117 = 141 square inches
Answer:
(a) 20256.15625
(b) 17642.78546
Step-by-step explanation:
(a) There's a formula for this problem y = A(d)^t where, A is the initial value you are given, d is the growth or decay rate and t is the time period. So, in this case, as the car cost is decreasing it is a decay problem and we can write the formula as such; y = A(1-R)^t
So, in 5 years the car will be worth, 25500(1-4.5%)^5 or 20256.15625 dollars
(b) And after 8 years the car will be worth 25500(1-4.5%)^8 or 17642.78546 dollars.
Answer:
- <u>BOX 1 </u>= 672.00
(14 * 12 = 168
168 * 4 = $ 672 )
2. <u>BOX 2</u> = 282.95
(Cell phone= $45 A MONTH
Eating outside = $50 A MONTH
12 .50 * 4 = 50 (4 WEEKS A MONTH )
Transportation = 131.2 A MONTH
32.80 * 4 = 131.2 (4 WEEKS A MONTH )
Movie = $16.75 A MONTH
Charity = $ 40 A MONTH
10 * 4 (4 WEEKS A MONTH )
<u> MONTHLY EXPENSE </u> = 45 + 50 + 131.2 + 16.75 + 40
<u> MONTHLY EXPENSE </u> = 282.95 )
3. <u>BOX 3</u> = 389.05
Money that can be saved = Monthly income - Monthly expense
Money that can be saved = 672 - 282.95
= 389.05
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