The amount of charity is [tex]\boxed{{\mathbf{\$ 99,000,000}}}[/tex].
Further explanation:
The scientific notation of a number can be written as,
[tex]a \times {10^n}[/tex]
Here, the value of [tex]a[/tex] lies between [tex]1{\text{ and 10}}[/tex].
Procedure used:
To find the cost of [tex]x[/tex] item first determine the cost of one item and then multiply it by [tex]x[/tex].
Given:
The net worth of person is [tex]7.92 \times {10^{10}}[/tex] in dollars.
Step by step explanation:
Step 1:
It can be seen that the net worth is given in the scientific notation.
First we convert [tex]7.92 \times {10^{10}}[/tex] into numerical figures.
It can be seen that in the number [tex]7.92[/tex] has two digits after the decimal.
Therefore, the decimal number [tex]7.92[/tex] can be converted into fraction form as,
[tex]7.92 = \dfrac{{792}}{{100}}[/tex]
The number [tex]{10^{10}}[/tex] can be calculated as,
[tex]\begin{aligned}{10^{10}} &= 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \\&= 10000000000 \\\end{aligned}[/tex]
Now evaluate the expression [tex]7.92 \times {10^{10}}[/tex] as,
[tex]\begin{aligned}7.92 \times {10^{10}} &= \frac{{792}}{{100}} \times 10000000000 \\ &= 79200000000 \\\end{aligned}[/tex]
Step 2:
From step 1, the value of the expression [tex]7.92 \times {10^{10}}[/tex] is [tex]79200000000[/tex].
It is given that the percent of charity is [tex]\dfrac{1}{8}[/tex].
Therefore, the percent of charity given can be converted into the decimal as,
[tex]\begin{aligned}\frac{1}{8}\% &= \frac{1}{8} \times \frac{1}{{100}}\\&= 0.00125 \\\end{aligned}[/tex]
Multiply [tex]0.00125[/tex] by [tex]79200000000[/tex] to obtain the amount of charity as,
[tex]\begin{aligned}{\text{amount of charity}} &= \$ 79200000000 \times 0.00125 \\ &= \$ 99,000,000 \\\end{aligned}[/tex]
Therefore, the amount of charity is [tex]\$ 99,000,000[/tex].
Learn more:
- Learn more about the function is graphed below https://brainly.com/question/9590016
- Learn more about the symmetry for a function https://brainly.com/question/1286775
- Learn more about midpoint of the segment https://brainly.com/question/3269852
Answer details:
Grade: Junior school
Subject: Mathematics
Chapter: Fraction
Keywords: Dollars, multiply, net worth, charity, percent, fraction, amount, decimal, scientific notation, one-eighth, conversion, numerical figure.
