<u>Given</u>:
The given triangle ABC is a right angled triangle.
The length of AC is 4 units.
The measure of ∠B is 20°
We need to determine the length of BC.
<u>Length of BC:</u>
The length of BC can be determined using the trigonometric ratio.
Thus, we have;
From the figure, the side opposite to the angle is AC and adjacent is BC.
Substituting opp = AC and adj = BC, we get;
Substituting AC = 4, we have;
Simplifying, we have;
Thus, the length of BC is 10.99 units.
Answer:
Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.
Step-by-step explanation:
Given monthly income of Ron is $3,142.23
Ron contributes 10% of his monthly income that is $ 314.223
Given : Ron is 25 years old and is retiring at the age of 65. so he has 40 years to contribute.
Total amount he contribute in 40 years paying 5.5% compounded monthly is given by
interest rate(r) =
time period = 40 years = 480 months
Principal amount = $ 314.223
Future value =
Substitute , we get,
Thus, future value is $547074.681009.
After retirement his monthly income when he has $547074.681009 amount.
Putting values , we get,
P = $3763.25
He will receive a monthly income of $3763.25.
But given he will need a monthly income of $4,123 for 20 years which is not met by Ron.
So,the amount he need to supplement his monthly income when he retires by (4123-3763.25)= $359.74
Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.