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Michelle wants to borrow $4,500. Bank A will lend Michelle the money at a simple annual interest rate of 9% for 6 years. Bank B will lend her the money at 11% for 4 years. Which bank would charge Michelle the least amount of interest? Explain.

1 year ago

Find the total balance of each investment account earning simple annual interest. A: $624 at 5% for 3 years $624 B: $4,120 at 7% for 18 months C: $900 at 3.1% for 6 months D: $275 at 4.8% for 8 years

1 year ago

On January 1st, 2003, Gerry opened a savings account that paid 3.25% annual interest. His initial deposit was $1,100. If Gerry didn’t deposit or withdraw any additional money, what was his balance at the close of December 31st, 2012? (Hint: determine how...

1 year ago

One year ago, Lindsey deposited $250 into a savings account. Her balance is now $253. Two years ago, Jenn deposited $250 into a savings account. Her balance is now $257.50. Which account has the greater simple interest rate? Explain.

1 year ago

A group of students held a fundraiser last year and raised $950 for charity. This year, they raised $1,045. What is the percent change in the amount the group raised?

1 year ago

Sam’s parents agreed to pay 25 percent of the cost of a new bike if Sam paid the rest. Percents Total 25% 25% 25% 25% 100% $65 $65 $65 $65 If Sam’s parents paid $65, what was the price of Sam’s new bike? $130 $195 $260 $325

1 year ago

Hiroto paid $4.28 in sales tax for the items that he purchased. Percents Total 100% If the sales tax rate was 6.25 percent, what was the total cost of the items before tax was added? $0.27 $0.68 $26.75 $68.48

1 year ago

Yasmin bought several items at the discount store. She paid 8.75 percent sales tax, an amount of $4.59, on the total amount of her purchase. What was the total amount of her purchase before tax was added? $40.16 $52.46 $190.63 $401.63

1 year ago

A pizza restaurant sells containers of juice that it marks up 75 percent above its wholesale cost. If the restaurant marks up each container by $0.90, how much does the restaurant pay for each container of juice wholesale? $0.51 $0.83 $1.20 $1.58

1 year ago

A flat-screen television was marked down by 35 percent, which reduced its price by $115.65. What was the original cost of the television before it was marked down? $214.78 $330.43 $404.78 $4,047.75

1 year ago

Which scenario is modeled by the equation (x) (0.6) = 86 dollars and 46 cents? A picnic table is on sale for 60 percent off. The sale price of the picnic table is x, $144.10. A picnic table is on sale for 40 percent off. The sale price of the picnic table...

1 year ago

Mrs. Chin paid a 20 percent tip on the bill for lunch. Percents Total 20% 20% 20% 20% 20% 100% $2.75 $2.75 $2.75 $2.75 $2.75 If the tip amount was $2.75, what was the bill for lunch before the tip was added to it? $5.50 $13.75 $16.50 $55.00

1 year ago

What is the simple interest that is missing from the table? Use the formula mc012-1.jpg. I ? p $375 r 2.2% t 3 years $25.00 $24.75 $2,475.75 $2,500.00

1 year ago

Lamar is considering two loans. Loan A Loan B Principal $4,500 $4,300 Interest rate 5% 6% Time in years 3 3 Which loan will have the lowest total payback? Loan A will have the lowest total payback because the amount of interest paid is less than the amoun...

1 year ago

An education budget went from $800,000 to $900,000. What is the approximate percent increase? The approximate percent increase is 13%. The approximate percent increase is 89%. The approximate percent increase is 98%. The approximate percent increase is 11...

1 year ago

What is the percent decrease when the balance in a bank account goes from $300 to $60? The percent decrease is 20%. The percent decrease is 25%. The percent decrease is 80%. The percent decrease is 87%.

1 year ago

Marie and Jorge are both trying to lose weight. After 3 months they compared their weight loss. Marie’s weight went from 175 to 150. Jorge’s weight went from 190 to 180. Which statements are true regarding their weight loss? Select three options. 1.Jorge’...

1 year ago

Carey is trying to decide between two guitars. The first had an original price of $160, but is on sale for $100. The second had an original price of $250, but is on sale for $150. Which guitar has a greater percent change in price? The first guitar has gr...

1 year ago

Look at the point P on the number line. A number line going from negative 50 to positive 50. Point P is at negative 40. Which number lines have a point that is equal to point P? Check all that apply. mr001-1.jpg mr001-2.jpg mr001-3.jpg mr001-4.jpg

1 year ago

Do the points shown represent additive inverses? Explain why or why not. A number line going from negative 5 to positive 5. Points are at negative 3 and positive 3.

1 year ago

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1 year ago

The following question references the novel The Red Badge of Courage by Stephen Crane. On which battle is The Red Badge of Courage based? a. Battle of Vicksburg c. Battle of the Bulge b. Battle of Gettysburg d. Battle of Chancellorsville Please select the...

11 months ago

A store is marking down the price of a television 25 percent from the original price of $250. Which expression can be used to find the marked down price? 250 dollars minus (0.25) (250) 250 dollars + (0.25) (250) 250 dollars minus (25) (250) 250 dollars +...

11 months ago

The snack bar at the school purchases water bottles at wholesale and then marks them up to make a profit. It marks up the water bottles by 33 and one-third percent, an amount of $0.28. Percents Total 33One-third% 33One-third% 33One-third% 100% $0.28 $0.28...

11 months ago

Vanessa and Zack are playing a game where the player with the lower score wins. At the end of the game, Vanessa has a score of Negative 3 and StartFraction 5 over 8 EndFraction and Zack has a score of Negative 3 and two-thirds. Which statement explains wh...

11 months ago

A student estimated the sum 7.95 + 8.11 + 78.5 + 8.05 + 79.4 + 0.815 as: All the numbers begin with a 7 or 8, so use cluster estimation. 8 + 8 + 80 + 8 + 80 + 0.8 = 184.8 Explain why this reasoning is not accurate.

11 months ago

On Monday, Elsbeth’s bank account balance was -$16.75. On Tuesday, she deposited a check for $5.72. On Thursday, she deposited $16.75. What is her new balance? -16.75 + (5.72 + 16.75) Use the commutative property to get: -16.75 + (16.75 + 5.72) Use the as...

11 months ago

The table shows the times of the top six swimmers in the women’s 100 meter butterfly at the 2012 Olympic Games. A 2-column table with 6 rows. Column 1 is labeled Place with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled Time (seconds) with entries 55.98, 5...

11 months ago

Mr. Whittaker’s science class uses tide gauges to measure annual variations in water levels at different parts of a river, and then compares those variations to the average annual trend. Matea recorded that the water level in one part of the river fell 1....

11 months ago

Ericka observed the total variation in the water level over 6.2 years to be −13.64 mm. She compared this to the average annual trend, which shows the water level rising 1.8 mm/year. Remember, she used 6.2 years as her time period. What is the difference b...

11 months ago

Jerrod’s family drove 1,778 miles from Denver, Colorado, to New York City. They averaged 61.7 miles per hour on the trip. Which is the best estimate of the number of hours the family drove? 3 hours 4 hours 30 hours 40 hours

11 months ago

Three local gyms are having membership specials. Able Bodies is offering memberships for $32.95 per month. Health Styles is offering an 18-month membership for $359.82. Crossfit Express is offering a 12-month membership for $299.40. Which gym is offering...

11 months ago

The closing amount of the Dow Jones Industrial Average on the stock market for four days is shown in the table below. Date Closing amount (in points) 01/27 13,895.98 01/28 13,881.93 01/29 13,954.4 01/30 13,860.42 Which best represents the greatest amount...

11 months ago

Shen’s mother gave him $10 to go buy groceries. He picked up a gallon of milk for $3.49, three pounds of oranges that cost $1.14 per pound, and a box of cereal for $3.46. Shen used front-end estimation to determine whether he had enough money for the groc...

11 months ago

Which shows two products that both result in positive values? (0.5)(–0.4) and (1.2)(–0.8) (–0.5)(–0.4) and (1.2)(–0.8) (0.5)(0.4) and (–1.2)(–0.8) (0.5)(–0.4) and (1.2)(0.8)

11 months ago

The gardener comes four times each month. Each month, Katrina writes a check, and $85.40 is deducted from her bank balance to pay the gardener. If the gardener came a total of 11 times so far, which best represents the total amount that the gardener has e...

11 months ago

Sanya noticed that the temperature was falling at a steady rate of 1.4 degrees every hour after the time that she first checked her outdoor thermometer. By 6 a.m., the temperature had fallen 21 degrees. Which expression can you use to find how many hours...

11 months ago

Which expression of signed decimal numbers has a positive quotient? 2.5 divided by negative 9.56 Negative 1.7 divided by negative 10.06 Negative 0.3 divided by 9.44 Negative 9.34 divided by 0.55

11 months ago

Martin had 7 pounds of grapes left, and he gave away 2 5 of them. Explain how to use compatible numbers to estimate the amount of grapes he gave away.

11 months ago

Estimation is useful when finding actual products and solving real-world problems because it allows us to make quick and approximate calculations that are close to the actual values. It helps us get an idea of what the answer might be without having to pe...

11 months ago

Monique made several batches of soup for a potluck supper. Each batch required Three-fourths of a pound of potatoes, and she used a total of 6 and one-half pounds of potatoes. How many batches of soup did Monique make? Which division and multiplication pr...

11 months ago

Sally and Anne went to the movies. They each purchased a drink. They also bought one popcorn and one veggie cup to share. Each woman’ total is modeled with this expression: 9 + 1.34 + 1 2 (3.50 +1.74) How would you simplify the expression? Explain your st...

11 months ago

Simplify: mc028-1.jpg mc028-2.jpg mc028-3.jpg mc028-4.jpg 4

11 months ago

What is the difference of the fractions? Use the number line to help find the answer. StartFraction 4 over 7 EndFraction minus StartFraction 10 over 7 EndFraction A number line going from negative StartFraction 11 over 7 EndFraction to StartFraction 15 ov...

11 months ago

Isabella’s mom takes her and two other friends mini-golfing. The table below shows how much different things cost at the mini-golf park. Price Sheet Item Cost Adult Game $7.00 Child Game $3.50 Pirate Hat $17.25 10 Arcade Tokens $4.00 Isabella’s mom purcha...

11 months ago

Noa was walking in the forest and measured the circumference of two trees that he found. The first tree measured 37 and StartFraction 5 over 8 EndFraction inches around, and the second tree measured 45 and one-third inches around. Noa wanted to find the d...

11 months ago

Johnny rode his bike StartFraction 4 over 7 EndFraction of a mile from his house to the lake on a straight path. Then, he turned around and rode his bike 3 and StartFraction 1 over 8 EndFraction miles in the opposite direction. About how far is Johnny fro...

11 months ago

Caitlyn calculated the probability of the complement of rolling a number greater than 2 on a 6-side number cube. She made her calculation as follows. P(less than or equal to 2): es002-1.jpg Did she make an error? Explain.

11 months ago

Your teacher is giving out fruit for lunch. A paper bag contains 4 apples, 6 pears, and 8 oranges. What is the probability you will pick an orange at random? What is the complement to this event? ✔ Pulling either an apple or a pear from the bag What is th...

11 months ago

What is the best estimate of the sum of the fractions? StartFraction 31 over 4 EndFraction + StartFraction 17 over 3 EndFraction + StartFraction 8 over 18 EndFraction 12 and one-half 13 14 and one-half 15

11 months ago

Ryder used front-end estimation to estimate the product of (–24.98)(–1.29). What was his estimate? –32 –20 20 32

11 months ago

What is the quotient of Negative 27.374 divided by 7.5 –3.65 –0.365 0.365 3.65

11 months ago

Sean recorded everyone’s number-cube rolls during the game. 1, 6, 2, 1, 5, 4, 2, 2, 1, 4, 5, 1, 3, 4, 1 He stated that the theoretical probability of rolling a 1 is greater than rolling any other number. Explain Sean’s error.

11 months ago

A computer manufacturer is performing a quality check to make sure the computers’ sound cards are working correctly. The plant manager tested 1,000 computers on Monday and found that 4 had defective sound cards. What is the experimental probability of a c...

11 months ago

A 2-column table with 5 rows. Column 1 is labeled Packaging Problems with entries box printing error, underweight box, too many raisins, no problems, total. Column 2 is labeled Frequency with entries 5, 10, 20, 965, 1,000. A cereal manufacturer checks a s...

11 months ago

The weather forecast for next season calls for a 10% chance of wind with no rain or clouds, a 20% chance of rain with no wind, a 30% chance of clouds with no wind or rain, and a 40% chance of only sunshine. Describe a 10-section spinner that could be used...

11 months ago

Maya wants to perform an experiment with a spinner labeled A, B, and C. The theoretical probabilities for each section are: P(A) = ½, P(B) = ¼, and P(C) = ¼. Which spinner could she use? A spinner divided into 4 equal sections labeled A, B, C, D. A spinne...

11 months ago

A tree diagram with 30 outcomes. The Roberts family is shopping for a new car. They are considering a minivan or an SUV. Those vehicles come in red, gold, green, silver, or blue. Each vehicle has three models; standard (S), sport (P), or luxury (L). Use t...

11 months ago

Adele is buying a sport utility vehicle. She is trying to choose among a variety of options. Brand: Brand A or Brand B Transmission: 4-speed standard, 5-speed standard, or automatic Bumper: steel, vinyl, or 2x4 boards Roof: hard top or convertible top Ade...

11 months ago

A bag contains 4 red, 3 yellow, 3 blue, and 2 white marbles, for a total of 12 marbles. If Lucia randomly picks two marbles from the bag without putting the first marble back, what is the probability that the first marble is red and the second is white?

11 months ago

Jordan is planning to buy a vehicle. He has the following choices. Type: sedan or SUV Transmission: 5-speed or automatic Color: red, blue, black, green, or silver Top: sunroof or no sunroof Jordan says that he has a total of 2 + 2 + 5 + 2, or 11, possible...

11 months ago

Tahari is shopping for a new car. She is making her decision based on brand, color, and style. She can choose from 4 brands, 5 colors, and 3 styles. First, Tahari chooses the color. Which explains the number of options that she has left after she chooses...

11 months ago

Jalen is buying a new car. He has the options below. Model: compact, luxury, sport Transmission: automatic, manual Color: red, blue, black, yellow Jalen decides that he wants a yellow car. What is the total number of choices he has? 5 6 12 24

11 months ago

Jonathan has a bag that contains exactly one red marble (r), one yellow marble (y), and one green marble (g). He chooses a marble from the bag without looking. Without replacing that marble, he chooses a second marble from the bag without looking. Which o...

11 months ago

A bag has 2 blue marbles, 3 red marbles, and 5 white marbles. Which events have a probability greater than One-fifth? Select three options. choosing 1 blue marble choosing 1 red marble choosing 1 red marble, not replacing it, and then choosing a blue marb...

11 months ago

Yuto has a bag containing 3 red marbles, 5 blue marbles, 2 green marbles, and 8 yellow marbles. Rin reaches into the bag, pulls out a blue marble, and puts it in her pocket. Then Misaki reaches in and pulls out a marble. What is the total number of possib...

11 months ago

Jason bought 10 of the 30 raffle tickets for a drawing. Assuming that he chooses the winning ticket each time, what is the probability that Jason will win all 3 of the prizes if once a raffle ticket wins a prize, the ticket is thrown away? StartFraction 6...

11 months ago

A drawer of loose socks contains 2 red socks, 2 green socks, and 6 white socks. Which best describes how to determine the probability of pulling out a white sock, not replacing it, and pulling out another white sock? The probability that the first sock is...

11 months ago

Two evenly matched tennis players, Jim and Rob, are going to play a set of 8 games. A player must win at least 6 of the 8 games to win the set. To find the probability of winning the set, Jim wants to simulate the situation using a number cube. If each ro...

11 months ago

On a nearby pond, black and white ducks are swimming in groups of three. James wants to find the experimental probability of two white ducks and one black duck swimming together. Design a simulation using a coin flip and explain why it is the best choice...

11 months ago

The table below shows the possible outcomes of rolling a six-sided number cube and flipping a coin. A 7-column table with 2 rows. Column 1 has entries H, T. Column 2 is labeled 1 with entries H 1, T 1. Column 3 is labeled 2 with entries H 2, T 2. Column 4...

11 months ago

Which situations can be simulated using this spinner? Select three options. A spinner with 6 equal sections. Predicting the gender of a randomly chosen art teacher if 1 of 3 art teachers is female Predicting the gender of a randomly chosen history teacher...

11 months ago

The Mendoza family is shopping for a new laptop computer. They will make their decision based on size and brand. The family made a table to show the possible outcomes for the different choices. There are 12 possible outcomes. Which is a possible number of...

11 months ago

Which equation represents the same proportional relationship as the graph? On a coordinate plane, a line goes through points (0, 0), (5, 3), (10, 6). y = three-fifths x y = five-thirds x x y = three-fifths x y = five-thirds

11 months ago

Isaiah has $20 to spend on bowling. He has four bowling alleys to choose from, and the price each charges for a game is shown in the table. Prices at Four Bowling Alleys Bowling Alley Price per Game A $4.25 B $5.25 C $3.75 D $3.50 Which can he afford? 4 g...

11 months ago

What is the simple interest value missing in the table? Principal $2,500 Interest rate 3.5% Time 5 years Interest ? $43.75 $437.50 $4,370.50 $43,750.00

11 months ago

The pentagon below has been reduced by a scale of 0.5. A pentagon with an area of 120 inches squared. What is the area of the reduced pentagon? 30 in.² 60 in.² 90 in.² 120 in.²

11 months ago

Which expression can be used to find 75% of 60? 75% of 60 25% 25% 25% 25% 0.25 0.25 0.25 0.25 15 15 15 15 (0.25) (60) (0.25) (15) (3) (15) (3) (60)

11 months ago

A bookstore bought a case of 10 books at a wholesale price of $84. The bookstore will sell the books at a 25 percent markup, and each book will be sold for the same amount. How much will they sell each book in the case for? $8.40 $10.50 $105.00 $105.80

11 months ago

For 6 consecutive days, Alejandro studied for 5 minutes more each day than he did the previous day. Which best represents the change in the amount of time that Alejandro studied on the first day to the amount of time he studied on the last day? –30 minute...

11 months ago

Mr. Rosenberger asked his students to use the distributive property to rewrite the expression 18 (24) by using friendlier numbers. The table below shows the expressions that four students created. Expressions Created by Students Student Expression Aaron 1...

11 months ago