The formula for the sum of the a finite geometric series is this:
Sn = a((1-r^n) / (1-r))
The given values are:
n = 30
a = 0.5 mi
r = 1.10 (10% more each day)
S30 = 0.5 ((1-1.10^30) / (1-1.10))
S30 = 82.25 mi
After 30 days, he will have traveled 82.25 miles.
The electric power of microwave is 900 watts.
Step-by-step explanation:
Given,
Voltage in the circuit = 120 volts
Current in the circuit = 7.5 amp
Electric power of microwave = Voltage*Current
Electric power of microwave = 
Electric power of microwave = 900 watts
Therefore,
The electric power of microwave is 900 watts.
Keywords: current, power, multiplication
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Answer:
24m
Step-by-step explanation:
Answer:
Width = 18, height = 3
Or
Width = 6, height = 9
Step-by-step explanation:
Complete question
( A piece of sheet metal 24 inches wide is bent to form a gutter as shown in the picture below, if the cross sectional area is 54 square inches, find the depth of the gutter).
X = width, Y = height
X - 2y = 24........ equation i
X = 24 - 2y.......... equation ii
Area = xy
54 = xy........ equation iii
Put equation ii into equation iii
54 = (24 - 2y) * y
54 = 24y - 2y²
2y² - 24y + 54 = 0........ equation iv
Solving equation iv using quadratic methods,
Factors = (y-3), (y-9)
(Y-3)(y-9) = 0
y = 3 or y = 9
Substitute y = 3 or y = 9 into equation ii
X = 24 -2(3) = 18 or x = 24 - 2(9) = 6
If Width = 18, height = 3
Or
Width = 6, height = 9
Answer:
The answer to your question is P(chicken) = 0.30
Step-by-step explanation:
Data
number of pigs = 6
number of chickens = 7
number of cows = 10
P(chicken) = ?
Process
1.- Sum up all the number of animals
Total animals = 6 + 7 + 10
= 23
2.- Calculate the probability
P(chicken) = number of chicken / total number of animals
-Substitution
P(chicken) = 7/23
-Simplification
P(chicken) = 0.30