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?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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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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