Questions

Gracie Shay wants to buy a new Hummer in five years Gracie estimates the cost of the Hummer will be 28 000 If she invests 12 000 now at a rate of 6 compounded semiannually she Will have enough money Will have exactly 16 000 Will have 18 000 Will have 16 126 80 None of these

On May 17 Jane took out a loan for 33 000 at 6 to open her law practice office The loan will mature the following year on January 16 Using the ordinary interest method 360 days what is the maturity value due on January 16 34 342 34 320 34 323 62 34 254

Jim Smith is a salesman who receives a 1 100 draw per week against his commission He receives a 12 commission as an incentive on all sales Sales for Jim were 205 000 for the month Assuming a four week month Jim s commission is 24 600 20 200 23 500 26 400 None of these

Lisa Richter made a one time deposit of 5 000 at 4 compounded semiannually for 5 years What would her balance be at the end of five years assuming she is still earning 4 compounded semiannually 5131 8131 8 800 6 095

1 Find the derivative for each function below at x 1 Leave your answer in radical a f x 2x 1 x3 b y 3 3x 1

Matty Kaminsky owns a new Volvo His June monthly interest is 400 The rate is 8 Matty s principal balance at the beginning of June is use 360 days 65 740 58 64 470 58 65 704 58 56 470 58

Differential pay schedule is based on FICA Different levels of performance FUTA Gross pay None of these

Jim Murphy borrowed 30 000 on a 120 day 14 note Jim paid 5 000 toward the note on day 95 On day 105 he paid an additional 6 000 The payment was applied first to the interest owed with the remaining payment applied to the principal balance Jim s adjusted balance after the first payment is 25 000 28 891 67 1 108 33 26 108 33 None of these

A 40 000 loan at 4 dated June 10 is due to be paid on October 11 The amount of interest is assume ordinary interest 503 00 2 500 00 546 67 105 33 None of these

If you are paid twice a month you are being paid Weekly Biweekly Semimonthly Monthly None of these

Banks and other financial institutions sometimes calculate simple interest based on Exact interest method Using 30 days for each month Using 366 days in the year Bankers rule ordinary interest None of these

Find the values of the six trigonometric functions using calculator if 0 26 Round answer to the nearest thousandth

Evaluate the integral Remember to use absolute values where ap 49 x4 dx X

Name m the x y axis y tan L ymptotes y 4csc 2 T symptotes angat

Consider a triangle ABC like the one below Suppose that A 59 C 64 and c 19 The figure is not drawn to scale Solve the triangle Round your answers to the nearest tenth If there is more than one solution use the button labeled or

0 a dominant gene with Huntington s disease a degenerative brain disorder caused by Mark and Karen are Rachel s parents and have 2 other children Sam and Dave who do not carry the gene Mark s family has no history of Huntington s disease and he does not carry the gene Karen s father and his family do not carry the gene however Karen s mother died from complications from the disease o Both of Karen s maternal grandparents were carriers of the gene Case Study 5 Questions 1 Construct a Punnett Square for Mark Karen Abwa 2 What is Karen s genotype 3 What is the genotype of Karen s father 4 What is the probability that Karen Mark will have another child who carries the Huntington gene

Convert r 8 sin t to Cartesian Coordinates and Draw the Graph

An aqueous solution contains 0 150 M HCI at 25 0 C The pH of the solution is O A 0 82 O B 7 00 O C 0 150 O D 13 00 O E 1 00

4 2 X I 3T 10 101 10

A C TC 3 13 cos 1 1 A 73 C 9 15 sin cot A 2 3 B B D TC 3 2 D 3 TU B C 0 D TC In 2 TO 6

7 Let f x 2tan x 3 and let g x 7 tan x 2 3 What are all values of x in the xy plane 0 x 27 for which f x g x For work shown either sketch a graph or use a unit circle to identify the intervals for the solutions Finally put your answer in interval notation

Create a 6 slide Powerpoint or Google Slides that describe fossils for sale Identify 6 fossils for sale and include the following 3 expensive and 3 cheap 1 A picture of the fossil 2 the price 3 description 4 where was it found 5 what type is it

3 y 2sec 3x 1 Per Asymptote

5 Solve over the interval 0 0 2 2cos tane tane 6 Find ALL solutions to this equation in radians 2cos2x1 0

Find all solutions to each equation in radians 17 2 3 2tan 0 Solve each equation for 0 0 2 19 2cos 1 cos 1 0 21 sin 0 2sin 0 0

L The period P of a pendulum in seconds depends on its length L in feet and is given by the formula P 2x is in seconds and L is in feet If the length of a pendulum is 3 feet what is its period where 32 What is the period of a pendulum of length 3 feet seconds Round to the nearest tenth

23 3x 2 9 3 7 4x 2 22 St a Period b Equation of all asymptotes c Possible equation for this graph acul d If the graph is defined as f x find where f x 1 over the interval 0 x 2

b How many copies of the Wallele are present in the gene pool What is the frequency of the Wallele Show your work 3 points aloon snobne natteliv siterap of colalls at nonclugod mill chep dose not How many copies of the B allele are present in the gene pool What is the frequency of the B allele Show your work 3 points

Precalculus 2024 Kuta Software LLC All rights Assignment 1 What parent function matches the given graph 27 3M T

Factor the polynomial function f z 8z 70z 175x 125 5 The zeros are 5 x f

Two trains left the station traveling in opposite directions The distance Train A traveled is modeled by the function d t 81t where c represents distance in miles and t represents time in hours Train B traveled a total of 324 miles in 4 hours How does the distance Train A traveled in 1 hour compare to the distance Train B traveled in 1 hour O The distance Train A traveled in 1 h is equal to the distance Train B traveled in 1 h O The distance Train A traveled in 1 h is greater than the distance Train B traveled in 1 h O The distance Train A traveled in 1 h is less than the distance Train B traveled in 1 h

If t 200 1 2e 0 5t 50 solve for t

Which description is correct for the x intercept s of Function A and Function B Function A 3 O 2 1 X Function B f x x 2 Function A has two x intercepts Function B has one x intercept O Both functions have the same number of x intercepts Function B has two x intercepts Function A has one x intercept Both functions have the same x intercept s g x 3 0 2 1 0

Find the values of A and B such that the graph of the exponential function f t AeBt goes through the points 0 8 and 9 2 A B

Which comparison is correct for the values of f a and g x when x 1 Function A f x x 1 Function B X 3 1 0 2 o f 1 g 1 Of 1 g 1 9 x 7 4 1 2

Exponential Logarithmi Consider the equation 32 12 1 81 Enter the number of solutions of the above equation 2 Determine the values of t that solve the above equation Enter your answer as a comma separated list of values The order of the values does not matter Enter DNE if there are no solutions 2 6

Figure 10 2 PRICE Social Cost Supply Demand Q Q QUANTITY Refer to Figure 10 2 If all external costs were internalized then the market s output would be a Q O b Q2 C Q3 d Q4

5 The equation of a circle is x y2 8x 6y 9 0 Graph the circle Identify the domain and range x bx b x x2 8x1y 16y a Ex

The vertical distance between points A and B represents the tax in the man Supply A 24 24 PRICE 16 10 10 B 770 100 QUANTITY Demand Refer to Figure 6 10 The amount of the tax per unit is a 6 b 8 c 14 d 18

PRICE Social Cost Supply Demand Q Q Q QUANTITY Refer to Figure 10 2 This market is characterized by a government intervention b a positive externality c a negative externality d a price control

Figure 6 3 10 Demand Supply 6 8 7 PRICE 5 9 4 3 2 40 80 120 160 200 240 280 320 360 400 QUANTITY Refer to Figure 6 3 A government imposed price of 6 in this market is an example o a binding price ceiling that creates a shortage b nonbinding price ceiling that creates a shortage c binding price floor that creates a surplus d nonbinding price floor that creates a surplus

Solve the system of equations If there is exactly one solution write as an ordered pair If not choose one of the other options 2 2x y 9 4y 38 8x O One solution No solution

Simplify Do not use a calculator or round to a decimal 3 256 32

x X 11 is equivalent to OW 77

Solve by the quadratic formula List the solutions separated by commas 10x 18x 8 0 x

Write the equation in logarithmic form Assume that all constants are positive and not equal to 98 b

using it all for this essay Maybe you could use it to describe some of the basic parts of your discussion but that will probably be more time that it s worth Sources Remember to cite any sources you used with in text citations that reference your personal Works Cited page For an AI list the AI then the date e g ChatGPT 2024 Ichthyostega Ichthyostega

Simplify 12 j j 3

Evaluate without a calculator

Simplify 64a6 402