Answer:
x = 5/2
Step-by-step explanation:
(4^3x)/(2^4x) = 32
(2^6x)/(2^4x) = 32
2^2x = 32
2^2x = 2^5
2x = 5
x = 5/2
Answer:
x = 7
Step-by-step explanation:
27 = 7x + 6 - 4x (Given)
27 = 3x + 6 (Simplify)
27 - 6 = 3x + 6 - 6 (Subtract 6 on both sides)
21 = 3x (Simplify)
21/3 = 3x/3 (Divide 3 on both sides)
7 = x (Simplify)
Answer:
The answer is C
Step-by-step explanation:
Answer:
a) 11
c) 18
d) -25
Step-by-step explanation:
a)
Substitute: 3|-2| + 5|-1|
Absolute value is positive: 3(2)+5(1)
Simplify: 6+5
Simplify: 11
c)
Substitute: 4|-2| +8-(-2)
Absolute value is positive: 4(2)+8-(-2)
Simplify: 8+8+2
Simplify: 18
d)
Substitute: -3|-5|+2(-5)
Absolute value is positive: -3(5)+2(-5)
Simplify: -15-10
Simplify: -25
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.
