Claire runs a rooftop nursery garden in the heart of the city. One day, she cuts 25 tulips, 32 violets, and 40 sunflowers. She sells the flowers to a local florist at t, v, and s dollars, respectively. Claire’s cost to grow the flowers is 10% less than the total selling price. Which expressions represent Claire’s cost to grow the flowers?(25t + 32v + 40s) + 0.10(25t + 32v + 40s) (25t + 32v + 40s) – 0.10(25t + 32v + 40s) 0.90(25t + 32v + 40s) 1.1(25t + 32v + 40s)

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general 4 months ago 9433

30PTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1Assignment: Compound Interest InvestigationTyler has earned money by helping out on a neighbor's farm and now wants to put his earnings in a savings account. He is a bit confused on the different interest options available and how each will impact the amount he has after several years. Help Tyler better understand by showing him how his money will increase in an account that uses simple interest and one that uses compound interest over a specified period of time. 1. a. If Tyler deposits $1500 of the $3200 he has earned in an account that pays 4% interest compounded annually, how much will he have in his account after 5 years?YearPrincipalPrincipal + Compound Interest1$15002345b. If Tyler deposits $1500 of the $3200 he has earned in an account that pays 4% simple interest, how much will he have after 5 years? Show all work.c. Which account would yield a greater amount? What is the difference between the two amounts?2. a. If Tyler deposits $2000 of the $3200 he has earned in an account that pays 8% interest compounded quarterly, how much will he have in his account after 1 year?QuarterPrincipalPrincipal + Compound Interest1$2000234b. If Tyler deposits $2000 of the $3200 he has earned in an account that pays 8% simple interest, how much will he have after 1 year? Show all work.c. Which account would yield a greater amount? What is the difference between the two amounts?3. Tyler decides to deposit his earnings of $3200 in a savings account. Bank A offers an account with a simple interest rate of 3.5%. Bank B offers an interest rate of 3.4% compounded annually. After 3 years, in which bank will Tyler have the greatest total? Show all work.a. Find the interest earned for Bank A.b. Find the total amount for Bank B.c. Which bank should Tyler choose if he wants to earn the greater amount? Explain your reasoning.d. Which account would yield a greater amount? What is the difference between the two amounts?

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general 4 months ago 9952

1. Using the Law of Syllogism, what conclusion can you draw from the following two statements?If two angles are right angles, then they have the same measure.If two angles have the same measure, then they are congruent.If two angles have the same measure, then they are right angles.If two angles are right angles, then they are congruent.If two angles have the same measure, then they are congruent.If two angles are right angles, then they have the same measure.2. Does the following argument illustrate the Law of Syllogism?Given: If the power is cut, then the refrigerator will not work. If the refrigerator will not work, then the food will spoil.Conclude: If the power is cut, then the food will spoil.yesno3. Does the following argument illustrate the Law of Detachment?Given: If the fuse has blown, then the light will not go on. The light will not go on.Conclude: The fuse has blown.yesno4. Using the Law of Syllogism, what conclusion can you draw from the following two statements?If it rains, then the roof leaks.If the roof leaks, then the ceiling gets damaged.If the ceiling gets damaged, then it rained.If the roof leaks, then it rained.If the roof leaks, then the ceiling gets damaged.5. If it rains, then the ceiling gets damaged.Does the following argument illustrate the Law of Detachment?Given: If the power has been cut, then the refrigerator does not work. The power has been cut.Conclude: The refrigerator does not work.noyes6. Use the Law of Detachment and the Law of Syllogism to draw a conclusion from the following true statements.If you do not get enough sleep, then you will be tired.If you are tired, then you cannot pay attention in school.You only got three hours of sleep on Tuesday night.You are tired on Wednesday.You cannot pay attention in school on Wednesday.You only got three hours of sleep on Tuesday night.7. You did not get enough sleep on Tuesday night.Use the Law of Detachment and the Law of Syllogism to draw a conclusion from the following true statements.If you have an income, then you must pay taxes.If you have a job, then you have an income.You work as a cashier in a convenience store.You work as a cashier.You have a job.You must pay taxes.You have an income.8. Does the following argument illustrate the Law of Syllogism?Given: If the sun is shining, then it is a beautiful day. If it is a beautiful day, then we will go for a bike ride.Conclude: If we go for a bike ride, then it is a beautiful day.noyes

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general 4 months ago 5670

1.) What number should be added to the expression x2+2x to change it into a perfect square trinomial?A.) 1 B.) 2 C.) 4 D.) 92.) What number should be added to the expression x2+10x to change it into a perfect square trinomial?A.) 5B.) 10C.) 25D.) 1003.) What are the solutions to the equation? b2−10b=39 Enter your answers in the boxes. b = ---- and ----4.) Which statement describes the first step to solve the equation by completing the square?2x2+12x=32A.) Multiply both sides of the equation by 16 .B.) Add 6 to each side of the equation.C.) Multiply both sides of the equation by 12 .D.) Add 36 to each side of the equation.5.) What are the solutions to the equation? 3x2+6x=45 Enter your answers in the boxes. x = ---- and ----

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general 4 months ago 4584