Basic Math Questions and Answers
Math
Basic MathRosa invests $3300 in an account with an APR of 3% and annual compounding. Julian invests $2800 in an account with an APR of 4% and annual compounding. Complete parts a through c.
a. Compute the balance in each account after 5 and 20 years.
After 5 years Rosa will have a balance of approximately $___After 20 years Rosa will have a balance of approximately $.
(Round to the nearest cent as needed.)
Math
Basic MathClassify the following: The number letters in a city and the population of the city.
Correlation only
No correlation
Correlation that implies causation
Math
Basic Math...... is a sample used by chance methods in statistics. Every member of the population
has the same chance of being selected.
control
biased
random
independent
Math
Basic MathA hydraulic system contains one small piston with a area of 2 square inches and one large piston with an area of 10 square inches. If a force of 70 pounds is applied to the small piston, what will the system pressure be?
700 psi
74.1 psi
35 psi
4.82 psi
Math
Basic MathGoing against the current, a boat takes 6 hours to make a 120-mile trip. When the boat travels with the current on the return trip, it takes 5 hours.
If x= the rate of the boat in still water and y= the rate of the current, which of the following systems could be used to solve the problem?
6(x-yl=120 and 5(x-y)=120
6(x+y)-120 and 5(x-y)=120
6x-5y=120 and x-y=120
Math
Basic MathThe function below shows the cost to attend the fair if you ride r rides. f(r)= 5+1.75r. What is the slope, and what does it mean in the context of this problem?
The slope is 1.75 and it is the cost to attend the fair without riding any rides.
The slope is 5 and it is the cost to attend the fair without riding any rides.
The slope is 1.75 and it is the cost per ride.
The slope is 5 and it is the cost per ride.
Math
Basic MathIdentify the study as observational, experimental, survey or neither.
An entrepreneur stands on a street corner of New York city and counts the number of people of with dogs that walks by. He used this data to decide if he wants to put in a pet store of the street
none of the answer choices
observational
survey
experimental
Math
Basic MathOn a second class lever, a 80 lb input force (effort force) is 42 inches from the fulcrum. Where should a 300 lb load (resistance force) be placed so it can be lifted?
221 in
17.3 in
11.2 in
8.00 in
Math
Basic MathFind the inverse function for the following: f(x) =2+3x/5x and use your result to show that f(f-¹(x)) = x.
(HINT: f(f-¹(x)) is just function notation.... you are being asked to replace the x's in f(x) with f-¹(x)).
Math
Basic MathOn a first class lever, a weight of 62 lb is 1.5 feet feet from the fulcrum. How far from the fulcrum should an effort or input force of 10.1 lb be
located?
13.4 feet
29.5 feet
4.60 feet
9.21 feet
Math
Basic MathThe following system of equations is
y=-1/3x+2/3
2x+6y=4
independent
inconsistent
equivalent
Math
Basic MathGiven f(2)= 12, which of the following could be an equation of the function?
A. f(x) = 8x-2
B. f(x) = 4x + 4
C. f(x) = 6x-4
D. f(x) = -4x - 4
Please select the best answer from the choices provided
A
B
C
D
Math
Basic MathFind the measure of the third angle of a triangle if the measures of the other two angles are given. 102.9 and 40.4
A. 43.2
B. 56.7
C. 46.7
D. 36.7
Math
Basic MathThe logistic growth function f(t) = 103,000/1+4500 e^-t describes the number of people, f(t), who have become ill with influenza t weeks after its initial outbreak in a particular community.
a. How many people became ill with the flu when the epidemic began?
b. How many people were ill by the end of the fourth week?
c. What is the limiting size of the population that becomes ill?
Math
Basic MathPoint A lies outside of plane P, how many lines can be drawn parallel to plane P that pass through point A?
A. 2
B. an Infinite number
C. 1
D. O
Math
Basic MathAn artifact originally had 16 grams of carbon-14 present. The decay model
A = 16 e ^-0.000121t describes the amount of carbon-14 present after t years. Use the model to determine how many grams of carbon-14 will be present in 6311 years.
The amount of carbon-14 present in 6311 years will be approximately
grams.
(Round to the nearest whole number.)
Math
Basic MathWhat types of concurrent constructions are needed to find the orthocenter of a triangle?
A. Intersection of the lines drawn to the midpoint of each side of the triangle to its opposite vertex
B. Intersection of the lines drawn to bisect each vertex of the triangle
C. Intersection of the lines drawn from each vertex of the triangle and perpendicular to its opposite side
D. Intersection of the lines drawn perpendicular to each side of the triangle through its midpoint
Math
Basic MathThe areas of two similar pentagons are 32 in² and 72 in². Find the ratio of larger pentagon's perimeter to the smaller pentagon's perimeter.
A. 9:4
B. 25:9
C. 5:3
D. 3:2
Math
Basic MathThe logistic growth function f(t)=111,000/1+5000 e-t describes the number of people, f(t), who have become ill with influenza t weeks after its initial outbreak in a particular community.
a. How many people became ill with the flu when the epidemic began?
b. How many people were ill by the end of the fourth week?
c. What is the limiting size of the population that becomes ill?
Math
Basic MathThe areas of two similar rectangles are 540 ft2 and 135 ft2. Find the similarity ratio of smaller rectangle to the larger rectangle.
A. 1:2
B. 1:3
C. 1:4
D. 2:5
Math
Basic MathCalculate the amount of money you'll have at the end of the indicated time period.
You invest $3000 in an account that pays simple interest of 4% for 10 years.
Math
Basic MathJacob and Zachary go to the movie theater and purchase refreshments for their friends. Jacob spends a total of $18.25 on two bags of
popcorn and three drinks. Zachary spends a total.of $27.50 for four bags of popcorn and two drinks.
Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink.
Using these equations, determine and state the price of a bag of popcorn and the price of a drink, to the nearest cent.
Math
Basic MathLast summer, a group of high school students farmed a plot of land. They harvested 13 bushels of vegetables to give to a food pantry. Next year the students will use a larger, similar plot of land. The ratio of the dimensions of the original plot to the new plot is 2:5. How many bushels of vegetables can the students expect to
harvest next year?
A. about 81 bushels
B. about 65 bushels
C. about 33 bushels
D. about 114 bushels
Math
Basic MathIf the coordinate of A is (0, -2) and the coordinate of B is (10, -6), the then midpoint of AB is:
Part A
The X portion of the midpoint is
Part B
The Y portion of the midpoint is
Math
Basic MathA population has a mean = 71 and a standard deviation a=36. Find the mean and standard deviation of a sampling distribution of sample means with sample size n=81.
H = (Simplify your answer.)
Math
Basic MathUse the formula for continuous compounding to compute the balance in the account after 1, 5, and 20 years. Also, find the APY for the account.
A $7000 deposit in an account with an APR of 3.5%.
The balance in the account after 1 year is approximately $
Math
Basic Math$8,000 is invested in two different accounts earning 3% and 4% interest. If the two accounts earn a total of $295 in interest, how much money was invested at 3%?
$2.500
$3,500
$5.500
Math
Basic MathThe sum of Pete's and Sam's ages is 30. Five years ago, Pete was 3 times as old as Sam. How old is
Sam?
Let P Pete's age, S-Sam's age, and PS= 30. Which of the following equations would complete the
system?
P-5=35-5
P-S=35-15
P-5=35
Math
Basic MathIf the numerator of a fraction is increased by 3, the fraction becomes 3/4. If the denominator is
decreased by 7, the fraction becomes 1. Determine the original fraction.
Which of the following equations represents "If the numerator of a fraction is increased by 3, the fraction becomes 3/4"? (Hint: cross products)
4n+ 12 = 3d
3n 9-40
4n+3=30
Math
Basic Math5x + 2y = 7
y=x+1
What is the solution set of the given system?
(16/7, 9/7))
(5/7, 12/7))
((12/7, 5/7)
((9/7, 16/7)
Math
Basic MathThe similarity ratio of two similar parallelograms is 4/5 . The area of the smaller parallelogram is 64 in². Find the area of the larger parallelogram.
A. 92 in²
B. 88 in²
C. 100 in²
D. 96 in²
Math
Basic MathA box with a square base and no top is to be made from a square piece of carboard by cutting 2 in. squares from each corner and folding up the sides. The box is to hold 10368 in³. How big a piece of cardboard is needed?
Math
Basic Math2y = x + 3
5y = x - 7
What is the solution set of the given system?
((-29/3, -10/3)]
[(29/3, 10/3)]}
((-1/3, -4/3)]
((1/3, 4/3)]
Math
Basic MathWhat is the x-coordinate of the solution of the following system of equations
3x + y = 6
x-y=6
-3
0
3
Math
Basic MathSolve the following system of equations by the substitution method.
8x = 2y + 5
3x = y +7
What is the solution set?
Math
Basic MathFind the sum and classify the polynomial based on degree and number of terms.
3n2(5n22n + 1) + (4n² - 11n4 -9)
A 4th degree polynomial with 4 terms
B. 3rd degree polynomial with 3 terms
C. 3rd degree polynomial with 4 terms
D. 4th degree polynomial with 3 terms
Math
Basic MathAgainst the wind a small plane flew 175 miles in 1 hour and 10 minutes. The return trip took only 50 minutes. What was the speed of the wind? What was the speed of the plane in still air?
The speed of the plane in still air was___mph.
The speed of the wind was__mph.
Math
Basic MathSelect the best method of finding an accurate solution to a system of linear equations.
algebraic methods
graph the lines
guess and check
Math
Basic MathWhen solving a system of linear equations, try to algebraically form one equation that has only one variable.
True
False
Math
Basic MathBoard feet is a measurement of lumber volume. A board foot is equal to 144 in3 of wood. About how many board feet is a piece of lumber that measures 2 in. by 8 in. by 12 ft?
22 board feet
1.3 board feet
6.5 board feet
16 board feet
Math
Basic MathThe demand equation for a certain product is given by p = 124 – 0.065x, where p is the unit price (in dollars) of the product and is the number of units produced. The total revenue obtained by producing and selling z units is given by R
Determine prices p that would yield a revenue of 7280 dollars.
Lowest such price =
Highest such price:
Math
Basic MathSuppose you have $14,000 to invest. Which of the two rates would yield the larger amount in 2 years: 8% compounded daily or 5.87% compounded continuously?
Which of the two rates would yield the larger amount in 2 years?
6% compounded daily
5.87% compounded continuously