Assignment class 11 Finite Math Review Nov 20
.pdf
School
Ana G. Mendez University System**We aren't endorsed by this school
Course
MATH 123
Subject
Mathematics
Date
Dec 17, 2024
Pages
3
Uploaded by ChancellorRainFly46
Finite Math Review Assignment 1.Systems of Linear Equations (Two Equations - Two Variables) Solve by Substitution1. Solve the system using substitution: y = 2x + 3 3x - y = 7 2. Solve the system using substitution: x = 4y - 5 2x + y = 8 3. Solve the system using substitution: 2x + 3y = 12 y = x - 4 Solve by Elimination 1. Solve the system using elimination: 2x + 3y = 7 4x - 3y = 1 2. Solve the system using elimination: 5x + 2y = 14 3x + 2y = 10 3. Solve the system using elimination: x - 2y = -4 3x + y = 11
2.Systems of Linear Inequalities (Graphing Systems of Linear Inequalities) 1. Graph the solution to the following system: Y ≤2x + 1 y > -x - 3 2. Graph the solution to the following system: 3x - 2y ≤6 x + y > 1 3. Graph the solution to the following system: y ≥-2x + 4 x ≤3 3.Simple Interest 1. A person invests $1,200 in an account earning a simple interest rate of 5% per year. How much interest will they earn in 3 years? 2. Find the principal if the total amount after 4 years is $1,680 and the annual simple interest rate is 7%. 3. How long will it take for $2,500 to grow to $3,000 at a simple interest rate of 6% per year?
4.Compound Interest 1. Calculate the amount after 5 years if $2,000 is invested at an annual interest rate of 4%, compounded quarterly. 2. How much must be invested today to have $10,000 in 10 years if the interest rate is 6% compounded annually? 3. A savings account grows to $8,500 after 6 years at an interest rate of 5%, compounded monthly. What was the initial principal? 5.Annuity and Sinking Funds 1. Calculate the future value of an ordinary annuity with monthly payments of $200 for 5 years at an annual interest rate of 4%, compounded monthly. 2. Find the payment required to accumulate $15,000 in 3 years in a sinking fund earning 5% interest, compounded quarterly. 3. A person deposits $500 every quarter into an account earning 6% interest, compounded quarterly. How much will they have after 8 years?