Math - Others Questions

You want to have 120 000 in an account after 40 years for your retirement Your investment counselor suggests that you make regular monthly deposits into an annuity that pays 4 25 interest compounded monthly Find the amount that must be deposited monthly rounded to the nearest cent Periodic Deposit P 1 40 95 2 68 39 3 288 90 4 171 nxt 4 95 34

For the quadratic function f x a The x coordinate of the vertex is 3x 6x 1 answer parts al through Type an integer or a simplified fraction b The y coordinate of the vertex is N Type an integer or a simplified fraction c The graph of f opens Type up or down 2

Find real numbers a b and c so that the graph of the function y the points 1 2 3 9 and 0 3 The value of a is 1 4 The value of bis 5 4 The value of Cis 3 ar bx c contains Type integers or simplified fractions

alyze the graph of the function R x 1 What is the domain of R x 2 What is the equation of vertical asymptote s of R x A xlx 0 B xlx 5 5 C xlx 0 25 D x x 5 E All real numbers 3x 10 x 25 A x 0 B x 5 5 C x 0 25 D x 5 E There is no vertical asymptote For part 1 the answer is Type a letter For part 2 the answer is 3 What is the equation of the horizontal or oblique asymptote of Rx Ay 0 B y 1 Cy 10 D y x E There is no horizontal or oblique asymptote

Write as the sum and or difference of logarithms Express powers as factors In x 1 8x x 913 X 9 In 4 In x In 1 8x In 3 In x 9 In 4 In x 5ln 1 8x 3ln x 9 In 4 In x In 1 8x 3In x 9 4In x In 1 8x 3ln x 9 Page 38 of 41

rm a polynomial f x with real coefficients having the given degree and zero Degree 3 zeros 1 i and 7 f x x3 5x 14x 12 f x x 5x 12x 14 x3 f x x3 x 12x 14 f x x3 7x 12x 12

with a score I that satisfies the inequality particular test a normal score is 600 It can be shown that anyone 600 2 54 has an unusual score Determine the scores that would be considered unusual 14 Test scores between 564 44 and 635 56 would be considered unusual Only test scores greater than 635 56 would be considered unusual Only test scores less than 564 44 would be considered unusual Test scores less than 564 44 or greater than 635 56 would be considered unusual

ind all zeros of the function and write the polynomial as a product of linear factor f x x 6x 12x 24x 32 f x x iB x i x 2 x 2 f x x 1 x 8 x 2i x 2i f x x 2 x 4 x 2 x 2 Of x x 2 x 4 x 2i x 2i

the rational zeros theorem to find all the real zeros of the polynomial function f x x 2x 5x 6 Write each zero in a separate box N

Solve the equation logg x 2 logg x 8 3 O 11 1 1 11 12

Solve the exponential equation Express the solution set in terms of natural logarithms 2 6 3 In 2 O I 6 In 3 O I2 In 6 In In 3 In 3 In 2 6 O In 3 In 2 In 6

If f x 7 5 and g x 14 determine where f x g x Express your answer using interval notation 16 2 O 00 12 U 16 00 O 12 16 O 00 16 U 2 00

find the complex zeros of the quadratic function x 6x 13 F x 3 4i O 3 4i 3 2i 0 3 2i

The function f x 10 is one to one Find the Inverse of f x 10 3 Of s 1 V Of 1 2 3 10 T f 1 x V 10 3 x 10

Find the C coordinate of the points of intersection of the graphs of two functions f x x g x 2x I OI x 11x 24 I C 1 3 18 2 r 12x 18 3 x 2 Ox 3 x 2 10 18 2 T 10

Determine the quadratic function whose graph is given below 10 4 4 Of x 22 0 12 10 x x 8x 12 2

be constructed from a square sheet of plastic by removing a of side 3 inches from each corner and then turning up the sides If the box must have a volume of 675 cubic inches find the length of one side of the open box 21 in 15 in 18 in 14 in Page 22 of 41

poden access ramp is being built to reach a platform that sits 30 Inches above the floor The ramp drops 2 Inches for every 31 Inch run y Flatiom S 30 Ramp X Write a linear equation that relates the height y of the ramp above the floor to the horizontal distance x from the platform Oy 1 x 30 31 Oy r 20 T bcam 30

Assume that you buy a new car for 25750 OMR at 7 25 compounded monthly How much is the monthly payment and total interest amount for 1 ii 5 years 8 years

get a grade of C the average of the first five tests scores must be greater than or lass you have scores of 68 73 71 and 90 on the first four of five tests To equal to 70 and less than 80 Solve an inequality to find the least score you can get on the last test and still earn a C 68 48 90 59 Page 18 of 41

Marty s Tee Shirt Jacket Company is to produce a new line of jackets with an embroidery of a Great Pyrenees dog on the front There are fixed costs of 560 to set up for production and variable costs of 31 per jacket Write an equation that can be used to determine the total cost C x encountered by Marty s Company in producing x jackets C x OC x 560x 31 31x 560 G r 31560

Solve the equation 5 X 5 e solution is 3 X 3 24 x 5 x 3 17 of 41

Factor completely the given expression 4x 7 x 6 4x 7 4 2 07 4x 7 4x 1 07 4x 7 4x 1 The polynomial is prime O 4x 7 28x 7 O 28x 7 4x 7

ph of a function fis given Use the graph to answer the question For what numbers x is f x 0 100 100 y 100 60 70 60 O 60 70 100 100

Find the real solutions of the equation 18x 9 x 4 5 3 5 O 4

1 1 1 1 a The local minimum occurs at x A 40 b The local maximum occurs at x

Graph the function 1 0 f x 2 3 220 O 6 6 6 6 X 6

the following quadratic Click the square near each correct factor Be sure to mark ALL correct answers f x 10x 21x 10 2x 5 2x 5 O 5 2 5m LD 21 Page 14 of 41

nd and simplify the difference quotient of f for the function f x x 5x 1 1 2x h 5 2x 2x 2xh h h 2 h 2x h 1

The graph of two functions f and g is illustrated below Use the graph to answer parts a through d 40 a f g 3 A B

is thrown vertically upward from the top of the building 448 feet tall with an initial velocity of 56 feet per second Its height h in feet after t seconds is given by h t 448 56t 16t2 After how long will it take for the ball to reach its maximus height Round your answer to 1 decimal place 4 9 sec 15 6 sec O 1 8 sec 8 2 sec

Find the domain of the function g x 3x 2 25 x x 0 xlx 5 5 all real numbers x x 25

rite an equation for a function that has a graph with the given characteristics The shape of y xl but shifted left 4 units and down 3 units Oy x 41 3 Oy x 41 3 Oy x 4 3 Oy x 4 3

Change the exponential statement to an equivalent statement involving a logarithm 1 9 a 01 9 log2a 01 9 log 2 02 loga1 9

am Solve the inequality 7x 35x 0 0 0 or 5 00 5 or 0 00 5 0 0 5

an equation for the line with the given properties Parallel to the line x 6y 2 containing the point 4 9 Oy 29 6 3 33 y Oy 3 6 Oy 3 6 9

3 a Complete the table with values for x or y that make this equation true 32 y 15 N 2 What is the slope m 3 POINT 3 4 6 b Plot the points that will fit on this graph from the table above 0 15 3 6 EDIT LABEL 12 LP

Given ZTVS ZTVU VT bisects STU Prove SV UV S V T Statement Reason

Recently we investigated a scatterplot on Gapminder org The table below shows the Income per capita in thousands of dollars per year and Life Expectancy in years some of the countries that were on the graph in 2019 Income x 1 9 3 16 7 23 8 48 14 3 23 Use three decimal places for the following questions a Find the sample correlation coefficient Life Expectancy y 69 1 66 7 69 5 70 8 75 9 80

1 6 pts The following information is pertaining to a normal monthly activity of 10 000 units Standard factory overhead rates are based on a normal monthly volume of one standard direct labor hour per unit The total budgeted overhead cost is 165 000 of which the budgeted fixed overhead cost is 65 000 The units actually produced in current month were 10 800 units The actual factory fixed overhead costs incurred were 64 000 and the actual variable overhead costs incurred were 76 000 The actual direct labor hours were 10 000 hours Required 1 Prepare the journal entries to record the fixed overhead variancer

Match each set of equations with the move that turned the first equation into the second 6z 9 42 3 2z 9 3 4 5r 7 18 52 7 4 5 8 10 752 4 10x 3 5x 5 4 4 52 16 12z 4 20z 24 3z 1 5z 6 DRAG DROP THE ANSWER cm 88

Power Company produces two products Selling price per unit Variable expenses per unit Contribution margin per unit Product A 40 28 12 Product B 16 12 4 Assume the fixed expenses are 57 200 per year The sales mix in units is 60 of A and 40 of B Required Determine the units of Products A and B that must be sold to break even

A 18 inch laptop has a screen that is 8 inches tall How wide is the screen talf in Give your answer to 2 decimal places Recall that laptop computers are measured according to the diagonals of their screens

What is the probability that person chosen at random prefers math and econ Math Econ 130 100 90 A 0 889 B 100 0 278 D 0 611 40

sing DeMoivre s theorem find 3 j 5 3 j 5 cos j sin Simplify your answers Round to two decimal places as needed Type any angle measures in degrees Use angle measures greater than or equal

3a n 2 7 3an 3a n 7 3an Simplify your answer Use positive exponents only Use integers or fractions for any numbers in the expression

XX Simplify your answer Type an integer or decimal rounded to four decimal places as needed

Assume that ho radicands were formed by raising negative quantities to even powers 2x y5 48x 2x y5 48x Type an exact answer using radicals as needed

Add the numbers below Express the result in polar form 1 91 71 31 2 2 11 216 21 What is the sum Simplify your answers Round to one decimal place as needed Use angle measures greater than or equal to 0 and less than

y1 8 23 8 31 8 y1 4 3 4 y 1 4 1 8 23 8 31 8 1 4 3 4 y 1 4 Simplify your answer Use positive exponents only