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There are 80 coins in a piggy bank of which 20% are quarters. What is the least possible amount of money that could be in the piggy bank?
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Consider a simple production function Q(K.L) = K L, where K and L stand for capital and labour respectively.
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Alice's utility function is given by (U (x, y) = ln(x) + ln(y), where x and y denote the quantities of pomegranates and grapes Alice eats.
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You purchase an investment that promises to quadruple your money in 24 months. Interest will be compounded quarterly. If you purchase this
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A new bridge is being constructed. The space between the support needs to be 1050 feet; the height at the center of the arch needs to be 350 feet.
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Bank of Money advertises an interest rate (in decimal form) of 0.05. If your initial investment is $2000 and you want to accumulate $900?in interest, how many years do you need to invest ? I=Prt Witho
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Solve the initial value problem for y explicitly: x dy/dx + 2y = x^2 + 1, x = .
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A ship traveled at an average rate of 12 miles per hour going east. It then traveled at an average rate of 18 miles per hour heading south. If the ship traveled a total of 156 miles in 10 hours, how m
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Use Euler's method to calculate the first three approximations to the given initial value problem for the specified increment size: x dy/dx + 2y =...
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find the equation of the tangent line to the graph of y^2-xy-12=0 at the point (1, 4)
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A skateboard that sells for $65 is on sale for 15% off find the sale price
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Denise is making turtles brownies. The recipe calls for 3/4 bag of caramel squares. One bag has 24 squares in it. How many caramel squares should Denise use to make one batch of turtle brownies?
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Subtract 7x55x227x5-5x2-2 from 8x5+7x2+8x-8x5+7x2+8x . Is there a specific way to set this problem up?
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When using the substitution method to solve a nonlinear system of equations, you should first see if you can _____ one variable in one of the...
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PLZ HELP!!! This right rectangular prism is filled with 1/3 -foot unit cubes. What are the actual dimensions of the prism? How many unit cubes are in this prism? What is the total volume of the prism,
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find the distance d(p1, p2) between the points p1 and p2.
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At a party there are 30 students over age 21 and 20 students under age 21.
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Which formula can be used to convert rectangular coordinates ( x , y ) to polar coordinates ( r , ) ?
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You manage the chlorine division of your company. Your division sold 3 2/5 million gallons on Monday, 2 1/5 million gallons on Tuesday and 1 3/5 million gallons on Wednesday. How many gallons of chlor
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Find the first five nonzero terms in the solution of the given initial value problem y+xy+2y=0, y(0)=5, y(0)=7
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Professor Friedman has lost Julie's nal exam but knows that her total before the exam was 250. He decides to predict her nal-exam score from her...
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The path of a football kicked by a field goal kicker can be modeled by the equation y = –0.04x2 + 1.56x, where x is the horizontal distance in yards and y is the corresponding height in yards. What
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Identify the random variable as discrete or continuous: the number of Sherlock Holmes episodes.
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A lobster tank in a restaurant is 0.5 m long by 0.25 m wide by 40 cm deep.
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Let's help Andrew make a career decision. He's a freshman in college and struggling to decide on a career path. The first three steps of the PACED decision–making process have been completed for you
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A scientist puts 100 grams of radioactive radium having a half-life of 1690 years into a concrete vault.
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In horse racing, a trifecta is a race in which you must pick the first-, second-, and third-place winners in their proper order to win a payoff. If sixteensixteen horses are racing, and yo
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Which of the following expression is equal to tan^2
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You would like to make a 6 lb party mix that is 60% Chex cereal and 40% pretzels. You have several boxes of Chex cereal and several pounds of another party mix that is 20% Chex cereal and 80% pretzels
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The ratio of green m&m’s to yellow is 2:5 if red m&m were added to the bag to get a total of 100, what is the ratio of green, to yellow to red
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American General offers a 13 -year annuity with a guaranteed rate of 6.11 % compounded annually.
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We wish to determine if a certain diet is effective in helping weight loss. a random sample of 10 people is chosen to try the diet. there weights of before and after the diet are listed below. set up
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Two sociologists have grant money to study school busing in a particular city. They wish to conduct an opinion survey using 652 telephone contacts...
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Having a hard time answering question 31 and 32 .
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A person is sitting on the ground between the Acme and Baker buildings. The person is 25 feet from the base of the Acme building.
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Lucia is driving to visit her parents,who live 240 miles away from her house . she has already driven 15% of the distance . how many miles does she still have to drive
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Use the properties of logarithms to write the logarithmic expression as a single logarithm with no coefficients. Simplify.
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What is the perimeter of triangle JKL? Round your answer to the nearest tenth. A. 8.6 units B. 9.6 units C. 10.5 units D. 11.5 units
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what is 9.5 in factions
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Suzanne brought 50 apples at the apple orchard. she brought 4 times as many red apples as green apples. How many more red apples than green apples did Suzanne buy
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For the following situation, (a) an equation in the form y=mx+b (b) find and interpret the ordered pair associated with the equation for x= 5 and (c)...
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In a high school graduating class, there are 163 more women than men. Find the number of men if the total number of graduates is 443
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The cost of fertilizing a lawn is $0.25 per square foot. Find the cost to fertilize the triangular lawn whose base is (10 + 13) feet and altitude is...
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Recently, More Money 4U offered an annuity that pays 6.3% compounded monthly. If $1,772 is deposited into this annuity every month, how much is in
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How many years will it take $6,000 to grow to $10,000 if it is invested 3.50% compounded continuously?
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In any given classroom, you will have students with varying levels of mathematical understanding and skill mastery, as well as students with...
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Protons are generated during photosynthesis. Describe the fate of these protons and explain how they contribute to the conversion of light energy...
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A small business uses a truck to make deliveries. The cost per hour for fuel is given by C=(v^2+1350)/(270), where v is the speed of the truck (in...
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A commodity has a function modeled by p= 496 - 0.2x^2 and a cost function of C= 10x +2. What unit price yields the maximum proft? Once profit is
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Find the solution of the equation. 2(2x + 3) = -4 + 2(2x + 5) 1) x = 0 2) x = -2 3) no solution 4) infinitely many solutions
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