Other Math Answers

(I need it right now Ma'am/Sir ASAP, the dealine is 10:40 a.m. Please help me. I need it right now. Thank you very much in advance)

Determine if the tables and graphs below express a direct variation between the variables. If they do, find a constant of variation and equation that defines the relation. Solve the following. Show solution in each number. 

1.  

x 1 2 3 4

y -3 -6 -9 -12

2.  

x 7 14 -21 -28

y 3 6 -9 -12

3.  

x -15 10 -20 25

y -3 2 -4 5

4.  

x 2 3 4 5

y 1 2 3 4

5.  

x 16 20 24 28 32

y 12 15 18 21 24

6.  

x 6 8 10 12

y 7 9 11 13

Make a circle graph showing the expenses that your family have to spend monthly. Explain how you applied your knowledge of central angles and arcs of a circle in preparing the graph. Using the circle graph that you made formulate , make at least two problems involving arcs , central angles, and sectors of a circle, then solve.

Sketch the graph of the following inequalities to determine the feasible region (region which

contains values that satisfy all the given inequalities)

3x + 4y – 28 ≤ 0

x – y ≤ 0

x ≤ 0

y ≤ 0

Determine whether each of these statements is true or false, provide a concise explanation.

(a) Ø ∈ {0, {0}}

(b) 0 ∈ {0, {0}}

(c) 0 ⊂ {0, {0}}

(d) {0} ⊂ {0, {0}}

(e) Ø ⊂ {0, {0}}

A. Solve the following problem

1. You open a checking account. You are paid 3% interest on the average balance but are charged a 7 monthly charge. Assuming that interest is paid monthly regardless of the number of days in the month, calculate the average daily balance you must maintain to offset the 7 monthly charge.

2. You decide to pay off a 9% 3,000 loan early. The bank tells you that you owe 111.70 interest. Assuming that the bank uses a 365 day year, for how many days are you being charged interest?

3. You borrow 200 from your aunt and agree to repay her 225 (200 principal + 25 interest) in 18 months. What interest rate are you paying.

B.

1. Twenty thousand pesos is a deposit in an account that pays 8% interest. Find the account balance after 10 years if the interest is compounded quarterly.

2. John deposit 5,000 pesos in a bank paying 12% compounded quarterly. After 4 years, John decided to close her account. How much money would she be able to get from bank?