Find the value of the expression:
35
243
Which type of function is represented by the equation
y=7x2+2?
Quadratic
f(x)=sqrt x
x = all non-negative real numbers,
yo= all non-negative real numbers
Namita borrowed $50,000 for 3 years at the rate of 3.5% per year. Find the interest accumulated at the end of 3 years.
$5,250
Use the Pythagorean theorem to find to find the unknown length.
If a=6 and b=10, then c=_____.
c = 11.7
Evaluate the square root of 64/225.
8/15
Give the expanded form of the factored quadratic
(x-3)(x+5)
x2+2x-15
f(x)=2x-1
g(x)=x2+1,
Find g(f(x)). Give your answer in expanded form.
g(f(x))=4x2-4x+2
If you invest $1,000 at an annual simple interest rate of 5% for 3.5 years, how much interest will you earn?
$175
Simplify the expression.
(2x3 + 5x9) - (42x9 + 5x) - 3x
2x3 −37x9 −8x
Evaluate 2x-5+3x+8=18 for the given variable.
x=3
Give the factored form of the following expanded form quadratic.
24x2-30x-9
3(2x-3)(4x+1)
Give the explicit formula for a sequence with the following terms:
{2, 6, 18, 54, 162}
an=2(3)n-1
If you invest $1,000 at an annual compound interest rate of 4% for 3 years, how much will your investment be worth at the end of the period?
About $1,124.86
Simplify
2(4x - 3x3) - 3(3x3 + 4x2)
-15x3 -12x2 +8x
Find the rate of change for the set of values provided.
x1=1, y1=217
x2=2, y2=434
x3=3, y3=651
x4=4, y4=868
m=217
Solve the equation 100=8x2 for x. Your answer should be fully reduced and rationalized.
Solve the equation for all possible values of x.
|8x+6|=46
x=5, x=-6.5
Mohammed is trying to invest $5,500. Which would he get more out money out of: 5% simple interest for 5 years, or 2.5% compound interest for 5 years? What's the difference?
Simple interest: earn $1,375
Compound interest: earn about $1722.70
Difference: about $652.30
In this situation, simple interest for longer is better.
Find the greatest common factor:
38 : 266
52 : 28
64 : 88
1) 38
2) 4
3) 8
Use the Pythagorean Theorem to find the unknown lengths.
If a=8 and b=15, c=_____.
c=17.
Solve for x in the equation. Your answer should be fully reduced and rationalized.
500=0.5(6)x2
x=(10 sqrt 15)/3
The line of sight from a small boat to the light at the top of a 35-foot lighthouse built on a cliff 25 feet above the water makes a 25° angle with the water. To the nearest foot, how far is the boat from the cliff?
128 ft
You need to take out a student loan of $10,000 for college. You have two options:
After 20 years, how much you will need to pay back for each option?
BONUS 100 PTS: What is the average monthly payment for each option for 20 years?
1) $14,000
2) $22,080
If you can, choose simple interest in this situation!
BONUS: 1) about $59 a month 2) about $92 a month
Pythagorean Theorem! km=kilometers
a=38km, b=173km, c=???km
Don't forget units...
c = about 177.11 kilometers