Answer:
Q1) 104m²
Q2) 121 in.²
Step-by-step explanation:
<em>Q1)</em>
<u>GIVEN :-</u>
- Figure given in the question comprises of a triangle & a rectangle.
- Length of the rectangle = 10 m
- Width of the rectangle = 8 m
- Base of the triangle = 8 m
- Height of the triangle = 6 m
<u>TO FIND :-</u>
<u>GENERAL FORMULAES TO BE USED IN THIS QUESTION :-</u>
- For a triangle with height 'h' & base 'b' , its area = .
- For a rectangle with length 'l' & width 'w' , its area =
<u>SOLUTION :-</u>
Area of the triangle =
Area of the rectangle =
Area of the figure = (Area of the triangle) + (Area of the rectangle)
= 24m²+ 80m²
= 104m²
<em>Q2)</em>
<u>GIVEN :-</u>
- Figure given in the question comprises of a triangle & a trapezium.
- Lengths of parallel sides of trapezium are 6 in. & 7 in.
- Height of trapezium = 20 - 3 = 17 in.
- Base of the triangle = 3 in.
- Height of the triangle = 7 in.
<u>TO FIND :-</u>
<u>GENERAL FORMULAES TO BE USED IN THIS QUESTION :-</u>
- For a triangle with height 'h' & base 'b' , its area = .
- For a trapezium with parallel sides whose lengths are 'a' & 'b' and height 'h' , its area =
<u>SOLUTION :-</u>
Area of the triangle =
Area of the trapezium =
Area of the figure = (Area of the triangle) + (Area of the trapezium)
= 10.5 in.² + 110.5 in.²
= 121 in.²
This would be 42 because 17+4•2=42
Answer:
45°, 225°
Step-by-step explanation:
Given that;
Tan x = 1
We can get Tan⁻¹ of 1
x = Tan⁻¹ 1
x = 45
45° is the acute angle in the first quadrant
Tangent is positive in the 1st, and the 3rd quadrant.
Therefore in the third quadrant, x = 180 + 45 = 225
Hence; x = 45° or 225°
Given:
loan amount - $204,000
interest rate per annum - 4.5%
4.5% / 12 months = 0.375% per month
3/27 - 3 years to pay, 27 years amortization
27 years * 12 months = 324 months
Using the attached formula to compute for the monthly amortization:
A = 204,000 * [0.00375(1+0.00375)³²⁴] / [(1+0.00375)³²⁴ - 1]
A = 1,088.79
Keep in mind that there are slight differences in figures due to the decimal places used.
FV = 204,000(1+0.00375)³⁶ - 1,088.79 {[(1+0.00375)³⁶ - 1] / 0.00375}
FV = 233,426.56 - 41,885.72
FV = 191,540.84
The closest to my answer is Choice B. <span>
B. $190,245.98</span>
Answer:
Step-by-step explanation:
Let P be the population of the community
So the population of a community increase at a rate proportional to the number of people present at a time
That is
Solve this equation we get
where p is the present population
p₀ is the initial population
If the initial population as doubled in 5 years
that is time t = 5 years
We get
Apply In on both side to get
Substitute in to get
Given that population of a community is 9000 at 3 years
substitute t = 3 in
<h3>Therefore, the initial population is 5937.8</h3>