Improve Your Algebra Skills with Practice Problems

ED Wong has total of Tk.70,000 invested in a common stock, corporate bonds, and municipal bonds. In order to limit risk, he has twice as much invested in corporate bonds as in stock. Last years, the common stock paid a 2% dividend, the corporate bonds paid 10% interest, and the municipal bonds paid 6% interest. ED’s total income last year from his investments was in Tk.4,800. How much has he invested in bonds?

Max worked 44 hours last week. His hourly rate is $6.00. What was his gross pay (regular pay plus overtime pay)?

What is the exchange rate between dollars and Swiss francs if one dollar is convertible into 1/20 ounce of gold and one Swiss franc is convertible into 1/40 ounce of gold?

Fill in the blank with the correct term or hample in numerator. sentence. A fraction is written in simplest form when the GCF of the numerator and the denominator is___.

Death Valley, California, has the lowest elevation in the United States. Its elevation is 282 feet below sea level. Mount McKinley, Alaska, has the highest elevation in the United States. Its elevation is 20,320 feet above sea level. Use integers to describe these two locations in the United States.

Pets Plus and Pet Planet are having a sale on the same aquarium. At Pets Plus the aquarium is on sale for 30% off the original price and at Pet Planet it is discounted by 25%. If the sales tax rate is 8%, which store has the lower sale price? How much will you save by buying the aquarium there? Round to the nearest cent.

$\begin{array}{|c|}\hline \text{Store}\\ \text{Pets Plus}& 118\\ \text{Pet Planet}& 110\\ \hline\end{array}$

Complete the sentence. 0.04 is
$1/10$
of _____.

cost of store: 140 markup: 25% what is selling price

What are quantitative data measurements?
A. Measurements that are appropriate for any type of variable
B. Measurements of categorical variables and can be displayed as types or descriptions
C. Measurements that are appropriate in all experiments
D. Measurements of numerical variables and are displayed as numerical values

The population of Riverdale is 6,735. What is the value of the 7 in the number 6,735?

Simplify by using order of operations: ${\displaystyle \frac{10-3\cdot 2}{1+1}}$

Convert decimals and fractions to percents Write seller Bs

Find the additive inverse of each number. -4 + 7i

Find each unit rate. Kenny reads ${\displaystyle \frac{5}{8}}$ page in ${\displaystyle \frac{2}{3}}$ minute.

A new thermostat has been engineered for the frozen food cases in large supermarkets. Both the old and new thermostats hold temperatures at an average of ${25}^{\circ }F$. However, it is hoped that the new thermostat might be more dependable in the sense that it will hold temperatures closer to ${25}^{\circ }F$. One frozen food case was equipped with the new thermostat, and a random sample of 21 temperature readings gave a sample variance of 5.1. Another similar frozen food case was equipped with the old thermostat, and a random sample of 19 temperature readings gave a sample variance of 12.8. Test the claim that the population variance of the old thermostat temperature readings is larger than that for the new thermostat. Use a $5\mathrm{\%}$ level of significance. How could your test conclusion relate to the question regarding the dependability of the temperature readings? (Let population 1 refer to data from the old thermostat.)
(a) What is the level of significance?
State the null and alternate hypotheses.
$H0:{?}_1^2={?}_2^2,H1:{?}_1^2>{?}_2^{2}H0:{?}_1^2={?}_2^2,H1:{?}_1^2\ne {?}_2^{2}H0:{?}_1^2={?}_2^2,H1:{?}_1^2<{?}_2^{2}H0:{?}_1^2>{?}_2^2,H1:{?}_1^2={?}_2^2$
(b) Find the value of the sample F statistic. (Round your answer to two decimal places.)
What are the degrees of freedom?
$d{f}_N=?$
$d{f}_D=?$
What assumptions are you making about the original distribution?
The populations follow independent normal distributions. We have random samples from each population.The populations follow dependent normal distributions. We have random samples from each population.The populations follow independent normal distributions.The populations follow independent chi-square distributions. We have random samples from each population.
(c) Find or estimate the P-value of the sample test statistic. (Round your answer to four decimal places.)
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis?
At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. At the ? = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.At the ? = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.
(e) Interpret your conclusion in the context of the application.
Reject the null hypothesis, there is sufficient evidence that the population variance is larger in the old thermostat temperature readings.Fail to reject the null hypothesis, there is sufficient evidence that the population variance is larger in the old thermostat temperature readings. Fail to reject the null hypothesis, there is insufficient evidence that the population variance is larger in the old thermostat temperature readings.Reject the null hypothesis, there is insufficient evidence that the population variance is larger in the old thermostat temperature readings.

Consider each set of numbers and determine if the set has an additive identity, additive inverse, multiplicative identity, or a multiplicative inverse. Explain your reasoning for each. a. the set of natural numbers.

Here are the 2013 tuitions (in dollars) of 10 randomly selected 2 -year, public colleges (Source: U.S. Department of Education):
1772 1752 3485 1138 2328
1854 3598 3722 4680 3030​​
a. Find the mean tuition.

The Smiths spend 8% of their budget on entertainment. Their total budget this year is $2,000 more than last year, and this year they plan to spend $3,840 on entertainment. What was their total budget last year?

50 points decreased by 26%

Refer to right triangle ABC with $C={90}^{\circ }.$ Begin each problem by drawing a picture of the triangle with both the given and asked­for information labeled appropriately.
Also, write your answers for angles in decimal degrees.
If $a=42.3inchesandb=32.4$ inches, find B