Malcolm invests $50 000 at an interest rate of 7 % compounded monthly. Laura invests $ 40 000 at 9.5% compounded annually. After how many years will the two investments be equal in value?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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MHF4U0
Solve the following equations as exact values where possible, correct to two decimal places where
necessary. Show all steps and properties used.
a) 32x = 73x-1
b) 91-25x2
243
c) log(x – 3) + log(x – 4) = log(x + 5)
d) log, x – log,(V– 1) = 3
Malcolm invests $50 000 at an interest rate of 7 % compounded monthly. Laura invests $ 40 000 at
9.5% compounded annually. After how many years will the two investments be equal in value?
Phosphorus-32 has a half-life of approximately 14 days. 10 g of Phosphorus-32 is present initially.
a) Determine an equation that models the mass still present after t days. Define the variables.
b) Determine the amount (correct to the nearest 10th of a g) of phosphorus 32 present after 5 days.
c) When will there be 4 g remaining?
Sasha needs a new muffler on her car. She has been told that the sound from her car was measured at
120 dB. After installing the new muffler, the loudness of her car is 75 dB. How many times more
intense was the sound from her defective muffler?
8.
lo lrillod 200 000 in Tokyo, Japan, on September 1,
Transcribed Image Text:MHF4U0 Solve the following equations as exact values where possible, correct to two decimal places where necessary. Show all steps and properties used. a) 32x = 73x-1 b) 91-25x2 243 c) log(x – 3) + log(x – 4) = log(x + 5) d) log, x – log,(V– 1) = 3 Malcolm invests $50 000 at an interest rate of 7 % compounded monthly. Laura invests $ 40 000 at 9.5% compounded annually. After how many years will the two investments be equal in value? Phosphorus-32 has a half-life of approximately 14 days. 10 g of Phosphorus-32 is present initially. a) Determine an equation that models the mass still present after t days. Define the variables. b) Determine the amount (correct to the nearest 10th of a g) of phosphorus 32 present after 5 days. c) When will there be 4 g remaining? Sasha needs a new muffler on her car. She has been told that the sound from her car was measured at 120 dB. After installing the new muffler, the loudness of her car is 75 dB. How many times more intense was the sound from her defective muffler? 8. lo lrillod 200 000 in Tokyo, Japan, on September 1,
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