Answer:
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = 4500
A = 6300
r = 6.75% = 6.75/100 = 0.0675
n = 2 because it was compounded 2 times in a year.
Therefore,.
6300 = 4500(1 + 0.0675/2)^2t
6300/4500 = (1 + 0.03375)^2t
1.4 = 1.03375^2t
Taking log of both sides of the equation, it becomes
Log 1.4 = 2t log 1.03375
0.1461 = 2t × 0.0144 = 0.0288t
t = 0.1461/0.0288
t = 5.1 years.
just substitute 10 into the equation
10=2x-6
add 6 to both sides
16=2x
divide both sides by 2
x=8
<span>(f⋅g)(x)=f(x)*g(x)
</span>f(x)*g(x) = (x⁴−9)(x³+9)=x⁴x³+9x⁴-9x³-81=x⁷+9x⁴-9x³-81
(f⋅g)(x)=x⁷+9x⁴-9x³-81
Answer:
42
Step-by-step explanation:
Okay, so if it leaks out a pint every hour, and a gallon is 8 pints, it will take 8 hours to leak out 1 gallon. Since there are 24 hours in a day, it would leak out 3 gallons every day. Now, assuming the month we are talking about is 31 days, then we multiply 31 with 3, giving us 93 gallons in a month.
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