Question: nbox - kashvibhat. WATERLOO 121. LEARN Portal UW Crowdmark Sona MATH 103_081_C... Q1. Determine, with justification, all real numbers r and y that satisfy the

nbox - kashvibhat. WATERLOO 121. LEARN Portal UW Crowdmark Sona MATH 103_081_C... Q1. Determine, with justification, all real numbers r and y that satisfy the following system of equations. 42x+3y 82*-1 32 Q2. For each equation below, determine, with justification, all values of z that satisfy the equation. (a) 37 - 6(V3) - 27 - 0 (b) 16 = 22x+3 _ 22+2 Q3. For each equation below, determine, with justification, all values of a that satisfy the equation. (a) log2(1 - 3) + log2() - 2 (b) 2log3(I) - log3(2 + 2) -0 Q4. A bacterial culture has a doubling time of 6 hours. Suppose the culture initially has 1000 bacteria. (a) How much bacteria will be present after 24 hours? (b) How long will it take, in hours, for the bacteria to reach a size of 100 000? Round your answer to the nearest tenth of an hour. Q5. Suppose you owe $10 000 on your credit card. Answer the following, assuming you do not make any more purchases on your credit card. (a) Suppose your credit card charges an interest rate of 26% compounded annually. (i) How much would you owe on this card after 2 years? (ii) How much time would it take, in years, for you to owe double what you spent? That is, how much time, in years, would it take until you owed $20 000? Round your answer to the nearest tenth of a year. (b) Suppose your credit card charges an interest rate of 26% compounded semi-annually. (i) How much would you owe on this card after 2 years? Round your answer to the nearest cent. (ii) How much time would it take, in years, for you to owe double what you spent? That is, how much time, in years, would it take until you owed $20000? Round your answer to the nearest tenth of a year

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