Here is the answer, with a picture of how you do it:)
The formula to use here would be:
A = P(1+r)^t where P is the principal (starting) amount, r is the rate of interest, and t is time. Knowing this, plug in your values:
A = 14,000(1+0.07)^4 once worked out, you should get $18,351.14414 < this is the total amount he would be paying at the end of 4 years. to find the interest, subtract this amount from the principal amount (14,000):
$18,5351.14414 - 14,000 = 4,351.14414 < this is the amount of interest. Round your answer.
Answer: Jamal will pain $4,351.14 interest.
Answer:
The height of the pole is 167 m
Step-by-step explanation:
The given parameters are;
Increase in the length of the shadow = 90 m
Initial angle of elevation of the Sun = 58°
Final angle of elevation of the Sun = 36°
We have a triangle formed by the change in the length of the shadow and the rays from the two angle of elevation to the top of the pole giving an angle 22° opposite to the increase in the length of the shadow
We have by sin rule;
90/(sin (22°) = (Initial ray from the top of the pole to the end of the shadow's length)/(sin(122°)
Let the initial ray from the top of the pole to the end of the shadow's length = l₁
90/(sin (22°) = l₁/(sin(122°)
l₁ = 90/(sin (22°) ×(sin(122°) = 283.3 m
Therefore;
The height of the pole = 283.3 m × sin(36°) = 166.52 m
The height of the pole= 167 m to three significant figures.
Answer:
The width of rectangle is 1 unit.
Step-by-step explanation:
Given:
The area of rectangle is 6 units and its width is 5 units less than the length.
So, to find the width of rectangle.
Let the length be
and the width be
.
Now, to find the width we put the formula of area of rectangle:
Area = length × width






<em>On solving equation we get:</em>

Therefore, we take the value x=6 as it is positive value:


So, the width of rectangle:
Width = 
= 
= 
Therefore, the width of rectangle is 1 unit.