If x is a real number, and if \(x^{3}=100\), then x lies between which two consecutive integers?
Explanation
\(4 \times 4 \times 4=64\), and \(5 \times 5 \times 5=125\). Thus, x must lie between 4 and 5.
The domain of the function \(f(x)=\sqrt{x+1}\) would be?
A family spends 20% of its monthly income on food, 23% on rent, and 42% on other expenses and saves the balance. If the family saves \( \$360 \)per month, what is its monthly income?
Charlie borrowed \( \$1,500\) from his aunt. He plans to pay his aunt back in nine months. If he pays 4% interest on the loan, what is the total amount he will pay back in nine months?
Tamika measures her pulse rate at the peak of her exercising. It measures 155 beats per minute. This is \(2\frac{1}{2}\)times her resting pulse rate. How many beats per minute is Tamika's resting pulse rate?
A bed and breakfast charges \(\$48.00\) per day for a double room. In addition, there is 5% tax. How much does a couple pay for several days’ stay?
Bill bought basketball shoes that were on sale for 20% off. The sale price was \(\$31.20\) . What was the regular price of the shoes?
For a large job, a painter is mixing \(2 \frac {1}{2}\)gallons of white paint with every 5 gallons of blue paint. If he uses 10 gallons of blue paint for the job, how many gallons of white paint will he use?
If x=3, then solve the equation below.
\(y= 10{x^2} - 7x - 12\)
The company plans to spend the least amount of money on what type of advertising?
Carol lent a friend \(\$200\) for one year. She refused to accept any interest. When the friend paid back the loan, she also gave Carol a \(\$32 \)silk scarf. What annual rate of interest would the friend have been paying if she had given Carol the \(\$32\) in cash?
Frank sees an ad for fertilizer on sale for \(\ $9.95\) a bag. He wants to fertilize his back lawn, which is a rectangular area 60 feet by 110 feet. How many bags are needed for his lawn?