Applications-1
My house is worth $200,000 today. If the value increases 1% each year, what will the value be 10 years from now? (2 decimal places)
$220,924.43
Evaluate log30.28 (2 decimal places)
-1.16
Solve (1/3)x-2 = 81
-2
Solve ln [square root of (x+1)] = 2 (2 decimal places)
53.60
The number N of bacteria in a culture is modeled by N = 250e0.011t where t is the time in hours. After how many hours will the number of bacteria in the culture be 1000? (whole number)
126 hours
If $10,000 is invested at a rate of 2% compounded monthly, what is the balance after 10 years? (2 decimal places)
$12,211.99
Evaluate log2(1/8)
-3
Solve 14e3x+2 = 560 (2 decimal places)
0.56
Solve log(1-x) = -1 (1 decimal place)
0.9
How much time is required for a $1000 investment to triple in value if it is invested at a rate of 1.5% compounded semiannually? (1 decimal place)
73.5 years
If $10,000 is invested at a rate of 2% compounded continuously, what is the balance after 10 years? (2 decimal places)
$12,214.03
Expand log3(6/x2)
log36 - 2log3x
Solve 0.5(6)x - 14 = -4 (2 decimal places)
1.67
Solve lnx - ln5 = 4 (2 decimal places)
272.99
In a typing class, the average number N of words per minute typed after t weeks of lessons was found to be N = 157/(1 + 5.4e-0.12t). Find the time necessary to type 50 words per minute. (1 decimal place)
7.7 weeks
Condense 5ln(x-2) - ln(x+2) - 3lnx
ln[(x-2)5/(x3(x+2))]
Solve e2x - 7ex + 10 = 0 (exact answers)
ln5 & ln2
Solve log(x-1) = log(x-2) - log(x+2)
No Solution
What is the half life of a 40 gram sample that decays to 5 grams in 10 days? (1 decimal place)
3.3 days
Condense (1/3)log(x+4) + 7logy
log [(x+4)1/3y7]
Solve 2x+1 = 51-2x (2 decimal places)
0.23
Solve log(x+2) - logx = log(x+5) (2 decimal places)
0.45