FST Jeopardy 101

6.3

100

Convert from exponential to logarithm.

log₅125

3

200

Evaluate log₄8

log₄8=3/2

300

Solve 10^x=4 (to the nearest tenth)

log₁₀4 = 0.6

400

logx=3.724 (to the nearest tenth)

x= 10^3.724 

=5296.6

500

A five-year certificate of deposit is purchased for $5000. If the certificate pays 5.5% of interest compounded quarterly, find the value of the certificate at maturity.

5000 (1+5.5%/4)^1/4

6.4

100

What is the value of E?

= 2.718

200

Estimate (1+1/n)², when the given value is 1000.

=2.716

300

PART 2- Estimate (1+1/n)², when the given value is 1000000.

=22025.36

400

If $500 is put in a saving account at an 8% rate compounded continuously, find the annual yield.

e^0.08-1=1.083287-1

=8.329%

500

PART 2- If $500 is put in a saving account at an 8% rate compounded continuously, find the value of the investment after one year.

500+500(e^0.08-1)

=500(e^0.08)

=$541.64

6.5

100

Evaluate log250+log4 (no calculator)

= log(250x4)

=log1000

=3

200

What is the Logarithm of a Power Theorem

log_bx^p=plog_bx

300

What is the Theorem of a product?

log_b(xy)=log_bx+log_by

400

Evaluate log₆(11/4)

= log₆11-log₆4

500

What is the Theorem of a Quotient?

log_b(x/y)=log_bx-log_by

6.6

100

Solve 3^x=15

=2.46497

200

Solve 110=94e^0.019t

=8.273

300

What is the Continuous Change Model?

A(t)=Pe^rt

400

Solve 4ln u- ln w - 2ln v

= lnv⁴-ln^w-ln2v

500

What is the Change of Base Theorem?

log_ba = log_ca / log_cb

6.7

100

A graph with consistent growth is known as...

Exponential Growth

200

Define a correlation coefficient 

= The correlation coefficient is a statistical measure of the strength of the relationship between the relative movements of two variables.

300

Define a Line of Best Fit.

A line of best fit is a straight line that best represents the data on a scatter plot. This line may pass through some of the points, none of the points, or all of the points.

400

What are the steps to listing data tables to a calculator?

=   Stats > Edit > Plug in values.

500

What is the square root equation form studied in class?

y=a√x-h+k