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Answer:
C.I = $251.2
Step-by-step explanation:
P = Principal amount = 1600
r = rate of annual interest = 6%
n = period / no. of years = 2.5 years
C.I = (P* (1+r^n))-P
C.I = (1600*(1+0.06)^2.5))-1600
C.I = (1600*(1.06^2.5))-1600
C.I = (1600*1.157)-1600
C.I = 1851.2-1600
C.I = 251.2
Answer:
Total amount paid to staff = $250
Step-by-step explanation:
Given:
Weekly payment = $200
Commission = 5% on sales
Amount of jewelry = $1,000
Find:
Total amount paid to staff
Computation:
Total amount paid to staff = Weekly payment + Commission
Total amount paid to staff = $200 + $1,000(5%)
Total amount paid to staff = $200 + $50
Total amount paid to staff = $250
Answer:
B. The rate at which the number of people in the park is changing 4 hours after the gates open is 92 people per hour.
Step-by-step explanation:
Rate at which people enter:
e(x)=0.03x^3 + 2
Rate at which people leave:
L(x)=0.5x + 1
Rate at which the number of people in the park is changing:
(e - L)(x) = 0.03x^3 + 2 - (0.5x + 1) = 0.03x^3 - 0.5x + 1
4 hours after the gates open, the rate is:
(e - L)(4) = 0.03(4)^3 - 0.5(4) + 1 = 0.92 hundreds of people per hour or 0.92*100 = 92 people per hour
Total surface area of the square pyramid is 1476 cm².
Step-by-step explanation:
Total surface area of a pyramid = 12pl + B. Here p is perimeter of the base which is a square = 4 × side, l is the slant height and B is the area of the base = side²
Find perimeter of the base
⇒ p = 4 × side = 4 × 6 = 24 cm
Find the slant height of the prism. l² = height² + (side/2)² (Based on Pythagoras Theorem)
⇒ l² = 4² + (6/2)² = 16 + 9 = 25
⇒ l = √25 = 5 cm
Find the area of the base of the pyramid.
⇒ B = side² = 6² = 36 cm²
Calculate total surface area of the pyramid.
⇒ TSA = 12 × 24 × 5 + 36 = 1440 + 36 = 1476 cm²
