Math Questions

$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

The 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

What are the domain and range of the relation? Is the relation a function? F=((85,-16), (15,2), ( – 109,2), (70,42)}

If 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

5x + 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)

y-2x+3 2y-4x+6 The system of equations has solution(s). one Infinite no

Let ƒ(x) = (x + 6)². Restrict the domain off to a non-decreasing interval. Now find the inverse of f

Solve the following system by graphing. x+y-6=0 x-y=0 What is the solution of the system? (3,3) (-3,3) (3,-3)

Find a slope that is parallel and one that is perpendicular to the given equation. y = 1/4 x + 3

The 13 players on a volleyball team are to line up for a team photograph. The seven shortest players will be in the front row. The remaining players will be in the back row. The coach will be in the back row on either the left or right end or in the middle. How many different arrangements are there for the team photo?

The 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

A 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?

2y = 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)]

What is the x-coordinate of the solution of the following system of equations 3x + y = 6 x-y=6 -3 0 3

Find the equation of the line that passes through the given point and has the given slope. Express your answer in slope-intercept form. (-6,-5), m= 4 What is the slope-intercept form of the equation that passes through (-6, -5) and has a slope of 4?

Which equation models the same quadratic relationship as function ? f(x) = 2x² - 12x + 11 A. y = 2(x + 6)² + 2 B. y = 2(x − 6)² + 5 C. y = 2(x - 3)² - 7 D. y = 2(x + 3)² - 7

2x + y = -2 x+y=5 The x-coordinate of the solution to the system shown is -3 7 3 -7

Solve the following system of equations by the substitution method. 8x = 2y + 5 3x = y +7 What is the solution set?

Find 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

If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent. A Side-Side-Side (SSS) Congruence Postulate B Side-Angle-Side (SAS) Congruence Postulate C Angle-Angle-Angle (AAA) Congruence Postulate DSide-Side-Angle (SSA) Congruence Postulate

What are the solutions of this quadratic equation? x² =16x- 65

Against 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.

Select the best method of finding an accurate solution to a system of linear equations. algebraic methods graph the lines guess and check

NASA launches a rocket at t= 0 seconds. Its height, in meters above sea-level, as an equation of time is given by h=- 4.9ť² + 139t + 269. How many seconds does it take for the rocket to reach its maximum height?

When solving a system of linear equations, try to algebraically form one equation that has only one variable. True False

Board 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

The 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:

Suppose 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

x-y=2 0.2x + 0.4y=1 The x-coordinate of the solution to the system shown is 6 3 1

Chose the equation for a line that passes through (2,-3) and has a slope of m=-4 in point slope form. A y-3=-4(x- 2) B y-2=-3(x+4) C y+3=-4(x-2) D y+2=-4(x+3)

Find the point-slope equation of the line with slope -3 that passes through the point (2, -10). Solution: y-y1=m(x-x₁) y-(2)=-3(x-(-10)) y-2=-3(x+10) The equation of the line is y-2=-3(x+10).

Determine the standard form of the equation for the circle with center (h, k) = (-5,1/2) and radius r = 1.

Find the partial fraction decomposition of the given rational expression. 16x + 34/4x² + 12x + 8

You volunteer to help drive children at a charity event to the zoo, but you can fit only 7 of the 14 children present in your van. How many different groups of 7 children can you drive?

Catelyn invested $7000 in an account that earns 5.6% interest, compounded annually. The formula for compound interest is A(t) = P(1 + i)t. How much did Catelyn have in the account after 4 years? A. $8704.70 B. $8719.36 C. $8568.00 D. $10,920.00

One solution to a quadratic function, h, is given. -4 + 7i Which statement is true? Function h has no other solutions. The other solution to function h is -4 - 7i. The other solution to function his 4 - 7i. The other solution to function is 4+ 7i.

Use identities to simplify the expression. CSC X-1/CSC X Which of the following is a simplified form of csc x- 1/csc x?

Using a sheet of graph paper, solve the following system of equations graphically. Be sure to show any work, use a straight edge, and be neat. When you are finished, enter the solution set in the box below and turn in your graph paper to your teacher. x+y=0 x-y+2=0

A vehicle purchased for $27500 depreciates at a constant rate of 7%. Determine the approximate value of the vehicle 13 years after purchase.

Robert invested $200 in a retirement account that had a rate of 20% that compounds annually. If Robert leaves his money in for 3 years, how much money will be in his account rounded to the nearest cent?

Simplify by rationalizing the denominator. √13+√3/√13-√3

Solve the following system of equations graphically. x+y-4 = 0 -x-y=0 The solution lies in quadrant. llI II I IV

NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t) = -4.9t² +238t+402. Assuming that the rocket will splash down into the ocean, at what time does splashdown occur? The rocket splashes down after seconds. How high above sea-level does the rocket get at its peak? The rocket peaks at meters above sea-level.

Solve for A. BA+ C = D A=(C-D)/B A (D-C)/B A D-B-C

The richest family in town hires you to do 2 weeks of work landscaping their estate, but they're a little bit eccentric. Instead of just making an offer, they give you three choices of payment. 1. You start out at $10 for the first day, then $10 is added to the payment for each additional day until the 14th day. 2. You get one dollar the first day, and your pay in dollars for any day is the square of the number of days into the job. 3. You get a dime the first day, 20 cents the second day, 40 cents the third day, and your pay doubles every day until the 14th Complete and submit the following: 1. You have 10 seconds to decide or the job goes to someone else. Which do you choose? 2. Calculate how much money you would make in those 14 days with each option. 3. How well did you choose?

Find the zeros of the function, and their multiplicities. f(x) = x³ - 6x² -x+6

Dwayne's garden is triangle-shaped with two equal sides and a third side that is 4 ft more than the length of an equal side. If the perimeter is 49 ft, how long is each side? Which equation represents this? 3x+4=49 2x+4-49 2x=49 3x=49

Using the intermediate value theorem, determine, if possible, whether the function f has at least one real zero between a and b. f(x)=x4-3x²-6; a=3, b=5 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. By the intermediate value theorem, the function does not have at least one real zero between a and b because f(a)= 48 and f(b)= B. By the intermediate value theorem, the function has at least one real zero between a and b because f(a)= C. It is impossible to use the intermediate value theorem in this case. and f(b) = 544. (Simplify your answers.) (Simplify your answers.)

Select the correct answer from the drop-down menu. A company sells its product to distributors in boxes of 10 units each. Its profits can be modeled by this equation, where p is the profit after selling n boxes. p = n² + 300m + 100,000 Use this equation to complete the statement. The company breaks even, meaning the profits are $0, only when it sells boxes.

Concrete can be purchased by the cubic yard. How much will it cost to pour a circular slab 18 ft in diameter by 3 in. for a patio if the concrete costs $40.00 per cubic yard? (1 cubic yard = 27 cubic feet) $4,523.89 $94.25 $1,130.97 $30.00