plz help Erick, Tyson, and Lane together sold 90 tickets for the school banquet. Erick sold 38 tickets, and Tyson sold 24 ticket
1 answer:
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Answer:
The value of x = 10.
Step-by-step explanation:
From the given triangle,
- The value of angle M = (3x + 28)°
- The value of angle K = (5x - 18)°
- The value of angle L = 90°
We know that the sum of a triangle is 180°.
i.e.
K + L + M = 180°
(5x - 18)° + 90° + (3x + 28)° = 180°
Therefore, the value of x = 10
Answer:
The area of this park is 130.60 square miles.
Step-by-step explanation:
Given : The scale of a certain map is inch = 16 miles. A square park is represented on the map by a square with side length
inch.
To find : What is the actual area of this park?
Solution :
The scale of a certain map is inch = 16 miles.
Let the side length of inch = x miles.
So,
The side length of a square is 11.428 miles.
The area of the square is .
To nearest hundredth,
The area of this park is 130.60 square miles.
Answer:
Step-by-step explanation:
Answer:
a. The amount that is saved at the expiration of the 5 year period is $22,769.20¢
b. The amount of interest is $2,769.20¢
Step-by-step explanation:
Since the amount that is deposited every year for a period of five years is $4,000 and the rate of the interest is 6.5%. We can always calculate the amount that is saved at the expiration of the five years.
We will first state the formula for calculating the future value of annuity:-
Future value of annuity =
Where P is the amount deposited per year.
r is the rate of interest
t is the time or period
and in this case, the actual value of P = $4,000
rate of interest, r is 6.5% = 0.065
time, t is 5 years.
Substituting e, we have:
Fv of annuity =
= 4,000 × [((1.065)^5)- 1/0.065]
= 4,000 × [(1.37 - 1)/0.065]
= 4,000 × (0.37/0.065)
= 4,000 × 5.6923
= $22,769.20¢
a. Therefore the amount that is saved at the end of the five (5) years is $22,769.20¢
b. To find the interest, we will calculate the amount of deposit made during the period of five years and subtract the sum from the current amount that is saved ($22,769.29¢).
Since I deposited 4,000 every year for five years, the total amount of deposit I made at the period =
4,000 × 5 = $20,000
The amount of interest is then = $22,769.20¢ - $20,000 = $2,769.20¢