High School Math - Others Questions

Instructions Write your answers neatly on blank sheet s of paper and upload your solutions to Grade scope You may also write your solutions on a tablet When submitting to Gradescope you must indicate where each question appears in your solution If you do not have a solution to a question then write no solution for that question on your paper Leave all final numerical answers exact unless otherwise specified Show your steps work Box or circle your final answer 1 Suppose A is an m x n matrix such that the equation AF 6 has a solution for every bRm a If m n what if anything can you determine about the linear dependence independence of the columns of A b If m n what if anything can you determine about the linear dependence independence of the columns of A c Is it possible that m n You must justify each answer you may use theorems stated in class 2 Suppose a linear transformation T R2 R satisfies Determine T ED T H B and T 2

9 Consider the graph of y cos x a Identify the ordered pairs of three x intercepts of y cos x b What does an x intercept on the graph of y cos a represent Explain using your knowledge of the unit circle c Can you come up with a rule for identifying all the x intercepts of y cos x d Is the distance between the x intercepts the same as the period of the function Why or why not

A lender offers you a mortgage with an APR of 4 08 with monthly compounding What is the effective rate of interest charged by the lender Answer Format Percentage Round to 2 decimal places Example 9 24 sign required Will accept decimal format rounded to 4 decimal places ex 0 0924

A couple has just purchased a home for 419 000 00 They will pay 20 down in cash and finance the remaining balance The mortgage broker has gotten them a mortgage rate of 3 00 APR with monthly compounding The mortgage has a term of 30 years How much interest is paid in the first year Answer Format Currency Round to 2 decimal places

A consulting project will generate revenue of 20 784 44 next quarter Revenues will increase by 1 00 per quarter for a 3 33 year period If the consulting firm wants a 10 88 APR with quarterly compounding return on their projects what is the value of the project to the firm today Answer Format Currency Round to 2 decimal places

A young married couple has carefully looked at their budget After review they can afford a monthly mortgage payment of 1 128 13 They go to their local banker and she offers them a mortgage of 5 88 APR with monthly compounding with a term of 30 years The couple has enough savings to pay 20 down so the mortgage will be 80 of the home s value What is the mortgage that the couple can apply for based on their budget and the offered terms Answer Format Currency Round to 2 decimal places

An investor is considering the following opportunity He will put capital into a start up company today He will not receive any cash flows from the investment until end of the 5th year At that point he will receive 11 18 years of 15 100 00 per year If his discount rate on this investment is 17 73 what is the value of this opportunity today Answer Format Currency Round to 2 decimal places

An elite law school will charge you 38 900 00 for your first year of tuition This is due at the beginning of the year You anticipate tuition to increase by 3 99 each year going forward You will spend three years in the law program You are unsure what discount rate to use to value the opportunity You have a conservative discount rate 5 16 and an aggressive rate of return 8 25 Using the aggressive rate of return what is the value today of your law school tuition Answer Format Currency Round to 2 decimal places

You have decided to save money for your son s college tuition You will put away 1 976 00 every six months for the next 12 00 years If the account will pay 4 00 APR with semi annual compounding what is the future value of this investment treat as regular annuity Answer Format Currency Round to 2 decimal places

A family takes out a mortgage for 251 200 00 from the local bank The loan is for 30 years of monthly payments at a 5 88 APR monthly compounding What will the family s balance be on the mortgage after 5 56 years Answer Format Currency Round to 2 decimal places

Which of the following lines references Wyrd A The fate s decrees change the world under heaven B Wise in spirit afar oft remembers C Borne on their journey hence one the fowl hath borne away D How him in youth his bounteous patron

4 Barbara is standing near a flagpole and wants to find the height of the flagpole She realizes she can use similar triangles to solve the problem Barbara is 6 feet tall and at the time of the measurement her shadow was 10 feet long At the same time the flagpole casts a shadow 25 feet long Fill in the blanks to find the flagpole s height A T13 14 Agile Assessment h b6 ft ft ft h 6 feet 10 feet

25 Represent Real World Situations The aspect ratio of an image on a screen is the ratio of image width to image height An HDTV screen shows images with an aspect ratio of 16 9 If the area of an HDTV screen is 864 in 2 what are the dimensions of the screen 26 Explain the Error Russell wants to calculate the amount of time it takes for a load of dirt to fall from a crane s clamshell bucket at a height of 16 feet to the bottom of a hole that is 32 feet deep He sets up the following equation and tries to solve it 16 161 32 1 16 16 1 1 1 1 t i Does Russell s answer make sense If not find and correct Russell s error

18 In the diagram below PR is a diameter of a circle with centre O Q and S are points on the circumference The tangent to the circle at the point P meets QS produced at T PQS 26 and QPR 42 Calculate a PRS b PRO 6 PTO 2 S Answer a R

7 x 3x 7 0 9 2x 3x 5 0 11 3x 2x 8 0 8 2x 5x 2 0 10 3x 5x 1 0

Assignment Quad Form Practice Math 2 What Is a Metaphor Solve each equation below using the quadratic formula Cross out the box that contains the solution set Whe you finish print the letters of the remaining boxes in the spaces at the bottom of the page 1 x 4x 3 0 X 1 the yo 1 X 42 6 16 3 x 5 6 0 5 x 2x 8 0 Date 225 2 x 7x 10 0 4 x 3x 4 0 6 r 5x 2 0

M 3 4 1 7 2 4 1 3

Pearl Harbor

In the surveys of the credibility of makeup products according to users statistics will be used in this IA to evaluate and measure the patterns that are present in makeup reviews Descriptive statistics will be used to summarize and present the significant characteristic features of the different features Hypothesis testing will be used within the investigation to understand whether certain observed trends and patterns are significant so that it is possible to determine if some makeup products were positively or negatively reviewed throughout all of them It is possible to use regression analysis to identify correlations between certain product attributes and user satisfaction thus developing a more precise perspective on credibility factors I will be providing a framework that will allow the reader to understand the trustworthiness of beauty products when new reviews become available This adaptive approach enables the fine tuning nature of evaluations with changing datasets Finally statistical methods will not only help quantify the validity of makeup products but also increase the reliability and rigor embedded in our conclusions hence making this potential discipline more evidence driven

2 You are studying abroad in Paris for the semester where measurements are made using the metric system Answer the following questions that involve unit conversions between metric and USCS units Show your work and make sure your final answer has appropriate units U 03 a One day while you are out window shopping you find a pair of jeans that you really like that cost 75 Euro You decide that on your budget you can t afford to pay more than 80 for the jeans Perform a calculation that will let you determine the cost of the jeans in dollars if 1 0 877 Euro Then decide whether or not the jeans are in your budget b You brought your favorite chicken parmesan recipe along with you to Paris and want to cook it for your host family The recipe calls for 1 5 pounds of chicken cutlets How many kilograms of chicken will you need to buy to make the recipe 3 On April 3 2007 the Alstom V150 a European TGV train set the current world record for high speed rail transit at 574 8 km h How fast is this in miles per hour Show your work and make sure your final answer has appropriate units U 03