Answer:
Step-by-step explanation:
some rules of logarithmic function
vice-versa 
If ㏑(a) = ㏑(b), then a = b
∴ 
Use the 2nd rule to simplify it
2㏑(2x) - ㏑(10x) = ㏑(30)
Use the 3rd rule in the 1st term
∵ 2㏑(2x) = ㏑(2x)² = ㏑(4x²)
∴ ㏑(4x²) - ㏑(10x) = ㏑(30)
- Use the 1st rule with the left hand side
Use the 4th rule
Multiply both sides by 5
∴ 2 x = 150
- Divide both sides by 2
∴ x = 75
The value of x = 75
Answer: the value of the car will be about $12634
Step-by-step explanation:
We would apply the formula for exponential decay which is expressed as
A = P(1 - r)^ t
Where
A represents the value of the car after t years.
t represents the number of years.
P represents the initial value of the car.
r represents rate of decay.
From the information given,
P = $22000
r = 10.5% = 10.5/100 = 0.105
t = 5 years
Therefore
A = 22000(1 - 0.105)^5
A = 22000(0.895)^5
A = $12634
Answer: 3.5
Step-by-step explanation:
Given: Dimensions of larger prism = length of 4.2 cm, a width of 5.8 cm, and a height of 9.6 cm.
Dimensions of smaller prism = length of 14.7 cm, a width of 20.3 cm, and a height of 33.6 cm.
Scale factor = 
Since, smaller figure is the original figure and the bigger one is the image.
So, scale factor = 
[Taking lengths
Hence, the factor to produce the corresponding dimensions of the larger prism = 3.5
Answer:
The area of the bulletin board is 30 square foot.
Step-by-step explanation:
A bulletin board can be covered completely by 30 square pieces of paper without any gaps or overlaps.
If each piece of paper has side length of 1 foot so the area of each paper is 1 ft x 1 ft = 1 square foot.
There are 30 pieces of paper needed to completely cover the bulletin board, so 30 pcs of paper with an area of 1 square foot is equal to 30 square feet. The area of the bulletin board is 30 square foot.
