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Ready4	If money is invested at r percent interest, compounded annually, the amount of the investment will double in approximately 70/r years. If Pat's parents invested $5,000 in a long-term bond that pays 8 percent interest, compounded annually, what will be the approximate total amount of the investment 18 years later, when Pat is ready for college?
Ready4	If $r_{1}$ and $r_{2}$ are the roots of the equation $t^{2} + b t + c = 0$ , where b and c are constants, are both $r_{1}$ and $r_{2}$ positive? $b < 0$ $c < 0$
OG16 OG17 OG18 OG19 OG20 OG2022	The figure above shows a path around a triangular piece of land. Mary walked the distance of 8 miles from P to Q and then walked the distance of 6 miles from Q to R. If Ted walked directly from P to R, by what percent did the distance that Mary walked exceed the distance that Ted walked?
	In the formula $$V =\frac{1}{(2r)^3}$$,if r is halved, then V is multiplied by
OG17 OG16 OG18 OG19 OG20 OG2022	For a party, three solid cheese balls with diameters of 2 inches, 4 inches, and 6 inches, respectively, were combined to form a single cheese ball. What was the approximate diameter, in inches, of the new cheese ball?(The volume of a sphere is $$\frac{4}{3}\pi{r}^{3}$$, where r is the radius.)
OG17	Three printing presses, R, S, and T, working together at their respective constant rates, can do a certain printing job in 4 hours. S and T, working together at their respective constant rates, can do the same job in 5 hours. How many hours would it take R, working alone at its constant rate, to do the same job?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	If money is invested at r percent interest, compounded annually, the amount of the investment will double in approximately $$\frac{70}{r}$$ years. If Pat's parents invested $5,000 in a long-term bond that pays 8 percent interest, compounded annually, what will be the approximate total amount of the investment 18 years later, when Pat is ready for college?
PREP07 Test 2	The integers m and p are such that 2 < m < p and m is not a factor of p. If r is the remainder when p is divided by m, is r > 1 ? (1) The greatest common factor of m and p is 2. (2) The least common multiple of m and p is 30.
190603	X is a positive integer and r is a non-negative integer. x can be divisible by 10r and cannot be divided by 10r+1. What is the value of r? (1) X can be divided exactly by 25, but not by 26 (2) X can be divided exactly by 56, but not by 57
PREP07 Test 1	If $1,000 is deposited in a certain bank account and remains in the account along with any accumulated interest, the dollar amount of interest, I , earned by the deposit in the first n years is given by the formula $$I = 1000[(1+\frac{r}{100})^n-1]$$, where r percent is the annual interest rate paid by the bank. Is the annual interest rate paid by the bank greater than 8 percent?(1) The deposit earns a total of $210 in interest in the first two years.(2) $$(1+\frac{r}{100})^2>1.15$$
	The total charge for an automobile repair at a certain garage is determined by the formula $${R}={115}+(\frac{5}{3})*{w}$$ , where R is the total charge in dollars, and w is the wholesale value of parts necessary for the repair. If a repair requires parts with a wholesale value of $300, what is the total charge, in dollars, for the repair?
OG20 OG2022	Is the point Q on the circle with center C ? 1.R is a point on the circle and the distance from Q to R is equal to the distance from Q to C. 2.S is a point on the circle and the distance from Q to S is equal to the distance from S to C.
Ready4	If money is invested at r percent interest, compounded annually, the amount of the investment will double in approximately 70/r years. If Pat's parents invested $5,000 in a long-term bond that pays 8 percent interest, compounded annually, what will be the approximate total amount of the investment 18 years later, when Pat is ready for college?
OG12 OG15 OG16	In the table above, what is the number of green marbles in Jar R ?
PREP07 Test 2	How many more first-time jobless claims were filed in week P than in week T ?(1) For weeks P, Q, R, and S, the average (arithmetic mean) number of first-time jobless claims filed was 388,250. (2) For weeks Q, R, S, and T, the average (arithmetic mean) number of first-time jobless claims filed was 383,000.
190215	n small balls with radius r were put into a cylinder filled with water, and the small balls were completely submerged in the water. The radius of the bottom circle of the cylinder is 4r, and the height of water before and after putting the balls is $$h_1$$ and $$h_2$$. How to express the difference of $$h_2$$ and $$h_1$$ with n and r?
OG18-数学分册	$$3r \leq 4s + 5$$$$\|s\| \leq 5$$Given the inequalities above, which of the following CANNOT be the value of r ?
OG19-数学分册	$$3r \leq {4s+5}$$ $$\| s \| \leq 5$$ Given the inequalities above, which of the following CANNOT be the value of r ?
Ready4	If money is invested at r percent interest, compounded annually, the amount of the investment will double in approximately $\frac{70}{r}$ years. If Chris invests $1,000 in a bond that pays 4 percent interest, compounded annually, what will be the approximate total amount of the investment 35 years later?
PREP07 Test 1	For the students in class A, the range of their heights is r centimeters and the greatest height is g centimeters. For the students in class B, the range of their heights is s centimeters and the greatest height is h centimeters. Is the least height of the students in class A greater than the least height of the students in class B ?(1)$$r\lt s$$(2)$$ g>h $$