Answer:
-20/3
Step-by-step explanation:
First simplify the left side of the equation
243^(1/5x)= (243^1/5)^x
=( )^x
= 3^x
Now that the left side is simplified, let's move to the right side
81^(x+5)=( )^(x+5) simplify 81 to base 3^4
= use the product of powers property to multiply the exponents together
=
With both sides simplified, let's rewrite the equation, this time in simplified terms
=
x=4x+20 because both the bases are same, their exponential value must also be equal
-3x=20 solve the algebraic equation for x
x=
2% interest is the rate "r" but needs to be decimal form. r = 0.02
$400 is the principal amount P
because it's annual rate, n = 1
t = 6
A = 400(1+0.02)^(6)
A = 400(1.02)^(6)
A = 400(1.13)
A = 450.46
Answer:
3 boxes.
Step-by-step explanation:
Let x represent number of 1.2 pounds boxes.
We have been given that Mr. Smith has 15.6 pounds of oranges to pack for shipment. He can ship 2.4 pounds of oranges in a large box and 1.2 pounds in a small box.
The oranges covered in x small boxes would be
Oranges packed in 5 large boxes would be .
We can represent our given information in an equation as:
Therefore, the minimum number of small boxes required to ship the rest of the oranges would be 3 boxes.