Mr. Rusty owes the bank $1,040,000, he returns $40,000 quarterly to the bank. If the tax on the money Rusty owes is compounded quarterly by 0.25% starting before Rusty paid the first payment, how months would it take poor Rusty to reach a point where he owes the bank no more than 1 million dollars?
Answer(s): B
Every three months Rusty gives the bank $40,000.After the first quarter the bank took (0.0025 x 1040000 = 2600) and Rusty paid $40,000 so the new Debt is now (1,040,000 - 40,000 + 2,600 = 1,002,600).After the second quarter the bank took (0.0025 x 1002600 = 2506.5) and Rusty paid again $40,000 so the new Debt is now (1,002,600 – 40,000 + 2506.5 < 1 million dollars).
Simba borrowed $12,000 from his brothers so he can buy a new sports car. If Simba returns 4.5% of that amount every 2 weeks, after how many months Simba wouldn’t owe his brothers any more money?
Simba gives (0.045 x 12,000 = 540) to his brothers every 2 weeks, in a month he gives (540 x 2 = 1080). (12,000/1,080 is a little over 11), therefore after 12 months he won’t owe any more money.
If A and B are two roots of the equation X2 –6.5X – 17, then what is the value of A x B?
Answer(s): D
The roots of the equation are 8.5 and (-2). The multiplication of the roots is equal to (-17).
If A, B and C are roots of the equation X3 – 16X2 +48X, what is the sum of the roots?
Answer(s): A
The equation can be written as: X(X2 – 16X +48) = X(X – 12)(X – 4). The roots of the equation are: 0,4 and 12. The sum of the roots is 16.
If R is a root of the equation X2 +3X – 54, than which of the following equations have also the root R ?
The original equation is X2 + 3X – 54, it can be written as (X – 6)(X + 9). The roots are 6 and (-9). We are looking for an equation that has one of the same roots.Answer D: X2 – 15X +54 = (X – 6)(X – 9) This equation has the root 6. All the other answers have different roots than the original equation.
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