Exponential Functions
Logs
Arithmetic sequences/series
Geometric sequences/series
Financial math
100

The initial value and horizontal asymptote of the function f(x)=120e-t

What is 120 and y=0?

100

The log function of y=2x

What is log2(y)=x?

100

The common difference of 200, 220, 240, 260,...

What is 20?

100

The common ratio is the sequence decays by 15%.

What is 0.85?

100

The signs of the present value and pmt is the problem is about annuity.

What is negative and positive respectively?
200

What is the initial value and horizontal asymptote of f(x)=3(2)x - 5

 

What is 1 and what is y=-5?

200
The value of log101
What is 0?
200

The u1 and d for the sequence un=456 + (n-1)(-45)

What is 456 and -45, respectively?

200

The rule if the first term is 150 and the common ratio is -2

What is un=150(-2)n-1 ?

200

The amount Edward should pay each month for 6 years if he takes out a loan of 70000 Australian dollars at a nominal annual interest rate of 7.2%, compounded monthly.

What is about 1200 Australian dollars per month. 

300

The function where the initial value is 40 with a decay rate of 23%.

What is f(x)=40(0.77)x?
300

The value of log3(81)

What is 4?
300

The sum of the first 10 terms of  un=456 + (n-1)(-45)

What is 2535?

300

The 15th term if the first term is 150 and the common ratio is -2.

What is 2,457,600?
300

Benjamin spends € 32000 buying bitcoin mining hardware for his cryptocurrency mining business. The hardware depreciates by 16 % each year, compounded annually.

What is about € 22579?

400

The time (x) it takes for money to grow to 1,000,000 if the function is y=250(1.15)x

What is about 42.9 years?

400
The Mohs scale score for quartz, which has an absolute hardness of 100, when relationship between Mohs scale score, M and absolute hardness, H is given by 0.319M = log10H – 0.117. 

What is about 6?

400

The amount of miles ran on the 10th day if a person is running 1.5 miles on the first day and on the 6th day runs 2.5 miles.

What is u10=1.5+(10-1)0.2 or 3.3?

400
The sum of money over 10 years if I make $50,000 the first year and the salary grows by 4% each year. 

What is about $600,305?

400

The formula which calculates that total value of the investment after n years if Jeremy invests $8000 into a savings account that pays an annual interest rate of 5.5 %, compounded annually.

What is FV=-8000(1+5.5/100)n?

500
The exponential (no e) function if the coordinates are (1,6), (2,6.5) and (3,6.75) are on the graph. 

What is y = 7 - 2(0.5)x ?

500

The value of a when a region has an average of 100 earthquakes per year with a magnitude of at least 3 and can be modelled by the Gutenburge-Richter equation log10N = a – M for some a∈ℝ, where N is the average number of earthquakes per year with at least M magnitude.

What is 5?

500

The sum miles ran over the first 10 days if a person is running 1.5 miles on the first day and on the 6th day runs 2.5 miles.

What is 24 miles?

500
The exact value of S7 if a geometric sequence has u1=5, u2=-1 and u3=1/5.

What is 13021/3125?

500

The amount of interest that Mia will earn over the next 2.52.5 years if Mia deposits 4000 Australian dollars (AUD) into a bank account and the bank pays a nominal annual interest rate of 6%, compounded semi-annually.

What is $637.10?

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