The national debt of a small country is $635 billion and the population is 2,426,000.
What is the amount of debt per person?
Express the answer in scientific notation.
Question 10 options:
A)
$2.62 × 106
B)
$2.62
C)
$26.20
D)
$2.62 × 105
The amount of debt per person can be calculated by dividing the national debt by the population.
Debt per person = National debt / Population
= $635 billion / 2,426,000
To express the answer in scientific notation, we divide the debt by 10^9 (since 1 billion = 1 x 10^9) and multiply by 10^6 to account for the 6 digits in the population.
Debt per person = ($635 billion / 2,426,000) x (1 x 10^6 / 1 x 10^9)
= $2.62 x 10^6
Therefore, the amount of debt per person is $2.62 x 10^6, or option A) $2.62 x 10^6.
39.5% of the students at a certain college are men.
If the total number of students at the college is 1400, how many female students are there?
To find the number of female students, we need to subtract the percentage of male students from 100% and then multiply that value by the total number of students.
Percentage of female students = 100% - 39.5% = 60.5%
Number of female students = Percentage of female students x Total number of students
= 60.5% x 1400
To calculate this, we multiply 1400 by 0.605 (60.5% expressed as a decimal).
Number of female students = 1400 x 0.605
= 847
Therefore, there are 847 female students.
Bicycles are often on sale in September. The regular price of one bicycle is $140.95.
With a 20% discount, what is the sale price of the bicycle?
Round to the nearest cent.
To calculate the sale price of the bicycle with a 20% discount, we need to subtract 20% of the regular price from the regular price.
Discount amount = 20% x $140.95
To calculate this, we multiply $140.95 by 0.20 (20% expressed as a decimal).
Discount amount = $140.95 x 0.20
= $28.19
To find the sale price, we subtract the discount amount from the regular price.
Sale price = Regular price - Discount amount
= $140.95 - $28.19
= $112.76
Rounding to the nearest cent, the sale price of the bicycle is $112.76.
To determine the number of fish in a lake, a park ranger catches 220 fish, tags them, and returns them to the lake.
Later, 144 fish are caught, and it is found that 40 of them are tagged.
Estimate the number of fish in the lake.
To estimate the number of fish in the lake, we can use a proportion to compare the ratio of tagged fish to the total number of fish caught in both instances.
Let's assume the total number of fish in the lake is x.
In the first instance:
Number of tagged fish = 220
Total number of fish caught = 220
So the proportion of tagged fish to the total number of fish is:
220/x = 40/144
To solve for x, we can cross-multiply and solve the resulting equation:
40x = 220 * 144
x = (220 * 144) / 40
x ≈ 792
Therefore, the estimate for the number of fish in the lake is approximately 792 fish.
A computer printer costs $630. If the sales tax rate is 3(1/2)%, how much tax is charged and what is the total price?
Round your answers to the nearest cent.
To calculate the tax charged on the computer printer, we need to multiply the cost of the printer by the sales tax rate.
Tax charged = $630 * 3.5%
To calculate this, we multiply $630 by 0.035 (3.5% expressed as a decimal).
Tax charged = $630 * 0.035
= $22.05
Therefore, the tax charged on the computer printer is $22.05.
To calculate the total price including tax, we add the tax charged to the cost of the printer.
Total price = Cost of printer + Tax charged
= $630 + $22.05
= $652.05
Therefore, the total price of the computer printer, including tax, is $652.05.