Which property states that if a = b and b = c, then a = c?
1 answer:
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Answer:
4.08 + 2 = 6.08 years
Step-by-step explanation:
we know that
Simple Interest(S.I.) = (P × R × T) ÷ 100
where, P = Principal = 750
R = Rate = 6%
T = unknown
⇒ S.I. = (750 × 6 × t)÷ 100
⇒ S.I. = 45t
Also, Amount = S.I + Principal
⇒ Amount = 750 + 45t
Now Formula for Compound Interest is:
where A = Amount
=1000
P = Principle
r = rate
t = total number of year
Here, P = 750 + 45t, r = 3.5% , and t = 2.
Putting all these values in above formula:
⇒
⇒ t = 4.08
Hence, total time required will be 2 + 4.08 = 6.08 years.
Alexis worked for 59 hours, Becca worked for 74 hours and Cindy worked for 152 hours.
Step-by-step explanation:
Given,
Total hours worked by three of them = 285 hours
Let,
x represent the hours of Alexis.
y represent the hours of Becca.
z represent the hours of Cindy.
According to given statement;
x+y+z=285 Eqn 1
Alexis worked 15 hours less than Becca.
x = y-15 Eqn 2
z = 2y+4 Eqn 3
Putting value of x and z from Eqn 2 and 3 in Eqn 1
Dividing both sides by 4
Putting y=74 in Eqn 2
Putting y=74 in Eqn 3
Alexis worked for 59 hours, Becca worked for 74 hours and Cindy worked for 152 hours.
Keywords: linear equation, division
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