Exponential Fns
Quadratic Fns
RVEs
Trigonometry
Sequences/Series
Finance
100

What are the base ordered pairs for an exponential function?

(0, undef)

(-1, -1)

(1, 1)

(undef, 0)

100

Find the roots of the following quadratic equation:

y=x^2-2x-15

x=-3 and x=5

100

State restrictions

(x+6)/((x-3)(x+4)(x+6)


x=-6, x=-4, x=3

100

Solve for the missing angle.

x=52 

100

Determine if the sequence is arithmetic, geometric, or neither.

{10, -11, 12, -13, ...}

Neither

100

Emma invests $1000. How long would it take for her investment to double if she earns 5% simple interest?

20 years

200

Simplify. 

(2a^2b^3)^4/(4ab^2)

4a^7b^10

200

How many roots does the quadratic function 

y=-4x^2+5x-1

2 real roots

200

Simplify 

(x^2+3x-18)/(x^2-9)

(x+6)/(x+3)

200

Solve for x.

x= 53.47 cm

200

Determine the general formula recursive formula for the following sequence: {6, 10, 14, 18, ...}


a_n=2+4n

a_n=a_(n-1)+4

200

On his 15th birthday, Jake invests $10 000 at 8% compounded monthly. If he leaves his investment in the account until he is 65, how much will his investment will be worth when he takes it out?

$538 781.94

300

Solve for x

5^(x-1)/25=1

x=3

300

State the transformations applied to the function:

f(x)=-4(x-1/2)^2+3

Reflection in the x-axis

Vertical stretch by a factor of 4

Horizontal shift  1/2 units right

Vertical shift up 3 units

300

Expand and Simplify 

((x^2+x-2)/(5x+10) )times((x^2-25)/(x^2+2x-3))

((x+5)(x-5))/(5(x+3))

300

Determine the related acute angle of -210 degrees

30 degrees

300

Find the thirteenth term of the sequence.

{9, -27, 81, -243 ...}

4 782 969

300

Aminah plans to invest $1000 at the end of each 6 month period in an annuity that earns 4.8% interest compounded semi-annually for the next 20 years. What will be the future value of her annuity?

$65 927.08

400

State the transformations applied to the exponential function below.

f(x)=4/(2x+6)-5

Vertical stretch by a factor of 4

Horizontal compression by a factor of 1/2

Horizontal shift left 3 units

Vertical shift down 5 units


400

Find the maximum value of 

y=-5t^2+40t+100

The maximum value is 180

400

Expand and simplify.

(4x^2-3x-1)/(3x^2-5x+2) divide (4x^2+9x+2)/(3x^2-4x-4


1

400

State the maximum and minimum of the trig equation

y=4sin(x+45)+5

max: 9

min: 1

400

Calculate the sum of the series. 

- 3 - 6 - 12 - 24 - ... - 768

22b 469

400

Sai wants to make monthly deposits into an account that guarantees 9.6% compounded monthly. He would like to have $500 000 in the account at the end of 30 years. How much should he deposit each month?

$240.80

500

The price of college tuition increases at a rate of 3.2% per year. If the current price of tuition is $2417, what was the price 5 years ago?    

$2064.80

500

Determine the value for k for which the quadratic equation has one root

f(x)=9x^2+kx+25

k=30

500

Simplify and state restrictions

(3x)/(x^2-16)-(4x)/(x^2-2x-24)

(-x(x+2))/((x+4)(x-4)(x-6))

x=4, x=-4, x=6

500

Which sinusoidal curve (sine, cost, -sinx, -cosx) would you use to represent the graph below with NO 'd' value. 

y=-sinx

500

The 7th term of an arithmetic sequence is 53 and the 11th term is 97. Determine the 100th term. Then calculate the sum of the series.

a_100=1076

S_100=

500

Kira borrowed $200 000 from the bank to purchase a yacht. If the bank charges 6.6% compounded monthly, she will take 20 years to pay off the loan. How much will each monthly payment be?

$1502. 94

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