Question 1

Find the pH level of a solution which has a hydrogen ion concentration of Use the equation where H⁺ is the hydrogen ion concentration of a solution. Round to the nearest tenth.

Accepted Answer

The answer of Find the pH level of a solution...

Question 2

Find the number of decibels of sound. The power of the sound is about  Use the equation D = 10(log I +16), where D is the number of decibels of sound and I is the power of the sound measured in watts. Round to the nearest whole number.

Accepted Answer

The answer of Find the number of decibels of sound....

Question 3

Use the compound interest formula  , where P is the original amount of the investment, i is the interest rate per compounded period, n is the total number of compounding periods, and A is the value of the investment after n periods. An investment broker deposits $1400 into an account that earns 4.4% annual interest compounded quarterly.
What is the dollar value of the investment after 7 years? Round to the nearest dollar.

Accepted Answer

The answer of Use the compound interest formula  ,...

Question 4

Solve for x:  Round to the nearest ten-thousandth.

Accepted Answer

Since this is a hexadecimal number, we need to convert it to decimal. Once we do that, we get a value of -1.38687893632. Rounding to the nearest ten-thousandth gives us -1.3869. Therefore, the best choice is C) -1.3869.

Question 5

Solve for x:  Round your answer to 4 decimal places.

Accepted Answer

The answer of Solve for x:  Round your answer...

Question 6

Solve for x:

Accepted Answer

The answer of Solve for x: 
...

Question 7

The amount of light, P, expressed as a decimal, passing through a substance of thickness d, in meters, is given by the equation log P = -kd, where k is a constant.
The constant k for a piece of stained glass is 17. What percent of light will pass through a piece of glass that is 0.003 m thick?
Round to the nearest tenth.

Accepted Answer

Substitute k=17 and d=0.003 into the equation:
log P = -kd
log P = -17(0.003)
log P = -0.051

Solve for P:
P = 10^(-0.051)
P = 0.888...

Convert to percent and round to the nearest tenth:
P = 88.9%

Therefore, the answer is B.

Question 8

Solve for x:

Accepted Answer

The answer of Solve for x: 
...

Question 9

Solve for x:  .

Accepted Answer

The answer of Solve for x:  .
...

Question 10

Use the compound interest formula  , where P is the original amount of the investment, i is the interest rate per compounded period, n is the total number of compounding periods, and A is the value of the investment after n periods. To save for post-secondary tuition, a parent invests $8000 in a mutual fund that earns interest at the rate of 5.9% per year compounded monthly.
In approximately how many years will the investment be worth $13,700? Round to the nearest year.

Accepted Answer

Using the compound interest formula:

A = P(1 + i)^n

where 
P = $8000 
i = 5.9% / 12 (monthly rate) = 0.004917 
A = $13,700

Plugging in the values:

$13,700 = $8000(1 + 0.004917)^n

Dividing both sides by $8000 and taking the logarithm of both sides:

log(1.7125) / log(1.004917) = n

n ≈ 9

Therefore, it will take approximately 9 years for the investment to be worth $13,700. Rounded to the nearest year, the answer is D) 9 years.

Question 11

Solve for x:  .

Accepted Answer

The answer of Solve for x:  .
...

Quiz 12: Exponential and Logarithmic Functions

Find the pH level of a solution which has a hydrogen ion concentration of Use the equation where H⁺ is the hydrogen ion concentration of a solution. Round to the nearest tenth.

Find the number of decibels of sound. The power of the sound is about Use the equation D = 10(log I +16) , where D is the number of decibels of sound and I is the power of the sound measured in watts. Round to the nearest whole number.

Solve for x: Round to the nearest ten-thousandth.

Solve for x: Round your answer to 4 decimal places.

Solve for x:

Solve for x:

Solve for x: .

Solve for x: .

Quiz 12: Exponential and Logarithmic Functions

Find the pH level of a solution which has a hydrogen ion concentration of Use the equation where H+ is the hydrogen ion concentration of a solution. Round to the nearest tenth.

Find the number of decibels of sound. The power of the sound is about Use the equation D = 10(log I +16) , where D is the number of decibels of sound and I is the power of the sound measured in watts. Round to the nearest whole number.

Solve for x: Round to the nearest ten-thousandth.

Solve for x: Round your answer to 4 decimal places.

Solve for x:

Solve for x:

Solve for x: .

Solve for x: .

Find the pH level of a solution which has a hydrogen ion concentration of Use the equation where H⁺ is the hydrogen ion concentration of a solution. Round to the nearest tenth.