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At the age of 30 you decide to start saving money. At first you can only afford to deposit $200 per month. However, at the age of 38 you are able to deposit $300 per month. Then at the age of 45 you raise your monthly deposit again to $500 per month. Finally at the age of 50 you get promoted to president of the company and are able to deposit $2000 per month into the account. Assuming your account is earning (prime interest rate + 4%) in interest, compounded monthly, how much do you have in your account at the age of 70? Hint: Treat each time that you change the deposit amount as a seperate annuity, and compute the future value (FV) on each annuity seperately. Assume that each annuity earns compound interest during the time it is not receiving deposits.
How much work was done lifting the sand this far? (Neglect the weight of the bag and lifting equipment.)
Let G sub1 and G sub 2 be groups, with subgroups H sub 1 and H sub 2, respectivetly. Show that {(x sub 1, x sub 2) | H sub 1 is an element of H sub 1, x sub 2 is an element of H sub 2} is a subgroup
Define a relation R on the set of all integers Z by xRy iff x+y = 3k for some integer k. Is R an equivalence relation on Z? Why or why not?
Determine whether the binary relation R on Z, where aRb means a^2 = b^2, is reflexive, symmetric, antisymmetric, and/or transitive.
For the facility location problem, prove that the inclusion PFL⊂PAFL can be strict.
Create a system of equations that includes one linear equation and one quadratic equation and create a rational equation that has an extraneous solution.
Choose a flat monthly rate and cost per minute and insert the values you have chosen for m and b into the equation. Then use this equation to find the total monthly cost, C, if 79 minutes are used.
carol purchases a car for 36000 makes a down payment of 10 and finances the rest with a 6-year car loan at an annual
Let p(x) = Ax^2 + Bx + C. Prove that for any interval [a,b], the value c guaranteed by the Mean Value Theorem is the midpoint of the interval.
question ron the realtor is offered a job directly out of real-estate school. he has a selection as to which way he
A football is thrown downward from a window in a tall building. Its position at time t in seconds is s=16t^2+32t, where s is in feet. How long to the nearest tenth will it take the ball to fall 175 feet?
For this problem please state the method you used and show the work required to obtain the answer. Find the general solution for each of the systems:
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