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3 years ago

Julie, a cafeteria manager, is making a large amount of chicken soup to serve for lunch tomorrow.

Mathematics

1 answer:

Nimfa-mama [501]3 years ago

6 0

Answer:

12 cups

Step-by-step explanation:

Divide the given amount of celery, 18 cups, by the number of cups in the given ratio, 3 cups.

$18/3=6$

This number is how many times the ratio Julie used. Use this number to multiply the ratio number of carrots, 2 cups

$2*6=12$

Julie uses 12 cups of carrots in her chicken soup

$\frac{12}{18}=\frac{2}{3}$

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The population of Henderson City was 3,381,000 in 1994, and is growing at an annual rate 1.8%

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<h2>In the year 2000, population will be 3,762,979 approximately. Population will double by the year 2033.</h2>

Step-by-step explanation:

Given that the population grows every year at the same rate( 1.8% ), we can model the population similar to a compound Interest problem.

From 1994, every subsequent year the new population is obtained by multiplying the previous years' population by $\frac{100+1.8}{100}$ = $\frac{101.8}{100}$ .

So, the population in the year t can be given by $P(t)=3,381,000\textrm{x}(\frac{101.8}{100})^{(t-1994)}$

Population in the year 2000 = $3,381,000\textrm{x}(\frac{101.8}{100})^{6}$ = $3,762,979.38$

Population in year 2000 = 3,762,979

Let us assume population doubles by year $y$ .

$2\textrm{x}(3,381,000)=(3,381,000)\textrm{x}(\frac{101.8}{100})^{(y-1994)}$

$log_{10}2=(y-1994)log_{10}(\frac{101.8}{100})$

$y-1994=\frac{log_{10}2}{log_{10}1.018}=38.8537$

$y$ ≈ $2033$

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