Exponential Growth vs Decay
True/False
Exponential Growth has the form: a(b)x, where b >1
True
The number e is called __________ Number.
Euler's
Evaluate:
log28
3
Find the amount of interest earned:
P = $1000 t = 5 years
r = 6.5% n = Semiannually
Total: $1376.89
Interest: $376.89
In 8-ball Pool (Billiards), the blue billiard has this number on it.
2
Growth/Decay/Neither?
f(x)=14(1.05)x
Growth
Simplify:
(e7)(e-4)
e3
Evaluate:
log5(1/625)
-4
Find the amount of interest earned:
P = $1267 t = 4 years
r = 8% n = Quarterly
Total: $1739.32
Interest: $472.32
This is the only number in English that is equal to the number of letters in its name.
4 - (f)(o)(u)(r)
Growth/Decay/Neither?
f(x)=(-0.625)x
Neither (Cannot have a negative on "b")
Simplify:
(4e4x)/(3e2x)
(4e2x)/3
Rewrite the following logarithm using the change of base formula.
log417
(log 17)/(log 4) or (ln 17)/(ln 4)
Find the End Balance.
P = $6500 t = 12 years
r = 1% n = Continuously
Total: $7328.73
Interest: $828.73
This number is considered a perfect number in that it is both the sum and the product of the first three numbers in the Natural Number System.
6
(1 + 2 + 3) = 6
(1)(2)(3) = 6
Growth/Decay/Neither?
f(x)= -5(2.04)1/13x
Growth: (2.041/13) = 1.056x
Growth/Decay/Neither?
y= 1/2 ex
Growth
Expand the following Logarithm, completely:
log2(5x2y7)1/4
1/4log25 + 1/2log2x + 7/4log2y
Find the End Balance:
P = $10,000 t = 30 years
r = 2.35% n = Continuously
Total: $20,238.47
Interest: $10,238.47
In China, this number expresses the totality of the universe.
8
Solve for x. Estimate to the nearest whole number.
278 = 233(1.06)x
x = 3
Growth/Decay/Neither?
y = 4e-4x
Decay
Daily Double
Enter Wagers Now.
Condense the following Logarithm, completely.
5log x + 6log y - [10log 2 + 3log x]
log[(x2y6)/1024]
Find the interest earned.
P = $967.23 t = 25 years
r = .02% n = Monthly
Total: $972.08
Interest:$4.85
The Italians believe this number to be unlucky, because its Roman Numerals can be rearranged to the order VIXI, which translates to: "my life is over."
17 - XVII