Questions on Algebra: Systems of equations that are not linear answered by real tutors!

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Question 423206: solving linear systems using substitution, what is
4x-7y=10
y=x-7

Click here to see answer by ikleyn(53419)

Question 1165309: Finicky-Cat Gourmet Pet Food makes organic cat food and sells them in 2 kg bags. The company has annual fixed costs of $150,000 and variable costs of $4 per bag. Finicky-Cat sells each bag for $10. Production capacity is 50,000 bags per year.
A.) Find the revenue and cost equation.
B.) How many bags of cat food does the company have to sell to break even?
I. What are total sales at the breakeven point?
II. What is the percent capacity at the breakeven point?
C.) The company anticipates that will be able to make and sell 40,000 bags of cat food this year. What will it cost to produce these 40,000 bags?
D.)Graph the cost equation and the revenue equation on graph paper. Graph from 0-50000 bags.
E.) Finicky-Cat wants to increase its selling price from the current $10 so that it could make a profit of $150,000 from selling 40,000 bags of cat food. What price must they charge?
Click here to see answer by CPhill(2138)

Question 1166216: LH should have paid a loan company $2,700 3 months ago and should also pay $\1,900 today. He agrees to pay $ 2,500 in 2 months and the rest in 6 months, and agrees to include interest at 11%. What would be the size of his final payment? Use 6 months as the focal date.
Click here to see answer by CPhill(2138)

Question 1166217: AW barrowed $9,000 on January 30, 2022 and agreed to pay 14% simple interest on the balance outstanding at any time. She paid $5,000 on March 9, 2022 and $2,500 on May 25, 2022. How much will she have to pay on June 30, 2022 in order to pay off the debt? Use June 30, 2022 as the focal date.
Click here to see answer by CPhill(2138)

Question 732363: I need help solving this equation
6-7p> 27 or p- 1 >_ 6
The line goes under the > sign not the 6
Click here to see answer by josgarithmetic(39701)

Question 732363: I need help solving this equation
6-7p> 27 or p- 1 >_ 6
The line goes under the > sign not the 6
Click here to see answer by ikleyn(53419)

Question 1166502: An investor purchased a 91-day, $100,000 T-bill on its issue data for $99,326.85. After holding it for 42 days, she sold the T-bill for a yield of 2.72%.
A. What was the original yield of the T-bill?
B. For what price was T-bill sold?
C. What rate of return (per annum) did the investor realize while holding this T-bill?
Click here to see answer by CPhill(2138)

Question 1166504: A debt of $10,000 due 6 months ago is to be paid off with 2 payments. The first payment will be $2,000 larger than the second payment. The first payment will be 1 year from today and the second payment will be made 18 months from today. Find the size of each payment if the bank charges you 15% simple interest. Use 1 year as the focal date. Draw a time diagram.
Click here to see answer by CPhill(2138)

Question 736930: there were 324 people attending a show it was $7 for an adult $2.50 for a child the total was $1503
How many adults and how many children attended the show?
Click here to see answer by greenestamps(13258)

Question 478004: The sum of two numbers is 248. Their difference is 64. find the number.
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Question 478004: The sum of two numbers is 248. Their difference is 64. find the number.
Click here to see answer by ikleyn(53419)

Question 1210378: Find all ordered pairs x, y of real numbers such that x+y=10 and x^3+y^3=300.

Click here to see answer by ikleyn(53419)

Question 1210378: Find all ordered pairs x, y of real numbers such that x+y=10 and x^3+y^3=300.

Click here to see answer by math_tutor2020(3828)

Question 1166215: Payments of $5,000 due in 3 months and $6,000 due in 9 months are to be paid off with interest allowed at 13%. How much would be required to pay off the loan today?( Use today as the focal date).

Click here to see answer by ikleyn(53419)

Question 1168513: Kent sold his car to Carolyn for $1,000 down and monthly payments of $120.03 at the end of every month for 3 1/2 years. The interest rate charged is 12%, compounded monthly. What was the selling price of the car?

Click here to see answer by ikleyn(53419)

Question 1209874: Let (x,y,z) be the real solution to the system of equations
x + y = \sqrt{4z + 3}
y + z = \sqrt{4x - 1}
z + x = \sqrt{4y + 5}
Find x + y + z.
Click here to see answer by ikleyn(53419)

Question 1209874: Let (x,y,z) be the real solution to the system of equations
x + y = \sqrt{4z + 3}
y + z = \sqrt{4x - 1}
z + x = \sqrt{4y + 5}
Find x + y + z.
Click here to see answer by CPhill(2138)

Question 1209837: Find all real numbers a and b such that
a + b = 14
a^3 + b^3 = 812 + a^2 + b^2
Click here to see answer by greenestamps(13258)

Question 1174022: A portion of a ride of an amusement park is to be modeled using two polynomials.The first section is the polynomial P(x) that covers the horizontal distance 100 feet, starts at the height of 60 feet and ends at 110 feet. The second section is polynomial Q(x) that covers the horizontal distance 50 feet, starts at the height of 110 feet and ends at 70 feet. Use the divided-difference method to find the (i) polynomials P(x), Q(x) and (ii) a polynomial R(x) for the complete portion of the ride. Construct the graph as well.
Click here to see answer by CPhill(2138)

Question 1209775: Let a, b, c, and d be distinct real numbers such that
a = \sqrt{4 + \sqrt{5 + a}},
b = \sqrt{4 - \sqrt{7 + b}},
c = \sqrt{4 + \sqrt{9 - c}},
d = \sqrt{4 - \sqrt{11 - d}}.
Compute abcd.
Click here to see answer by ikleyn(53419)

Question 1209776: Suppose the real numbers $a$, $b$, $x$, and $y$ satisfy the equations
ax + by = 3,
ax^2 + by^2 = 5,
ax^3 + by^3 = 17,
ax^4 + by^4 = 23.
Evaluate ax^5 + by^5.
Click here to see answer by CPhill(2138)

Question 1209750: In this multi-part problem, we will consider this system of simultaneous equations:
3x + 4y + 30z = -60,
2xy + 42xz - 16yz = 68,
5xyz = 56.
Let a = x/2, b = 5y and c = -4z.
Determine the monic cubic polynomial in terms of a variable t whose roots are t = a, t = b, and t = c.
Click here to see answer by ikleyn(53419)

Question 1209654: Find the unique pair of real numbers (x,y) satisfying
(6x^2 - 18x + 17) + (3y^2 + 6y + 11) = 28
and x + y = 20.

Enter your answer as an ordered pair in the format $(x,y)$, where $x$ and $y$ are replaced by appropriate numbers.
Click here to see answer by ikleyn(53419)

Question 1188403: First-order nonlinear ordinary differential equation.
(dy/dx)+2y^2=12e^{-3x}
Find y in terms of x where a, b and c are constants.

Click here to see answer by CPhill(2138)

Question 1209398: Let a and b be complex numbers. If a + b = 4 and a^2 + b^2 = 6 + ab, then what is a^3 + b^3?
Click here to see answer by MathTherapy(10586)

Question 1209398: Let a and b be complex numbers. If a + b = 4 and a^2 + b^2 = 6 + ab, then what is a^3 + b^3?
Click here to see answer by math_tutor2020(3828)

Question 1198187: Basic calculus
The selling price of a particular type of car is $20,000. The total cost of producing the car is TC = 2000 + X2.
A. Find the marginal revenue function?
B. Find the marginal cost function?
C. Find the quantity that maximizes profit?

Click here to see answer by ElectricPavlov(122)

Question 1209242: -2x+y=-15 and 2x+3y=-15

Click here to see answer by josgarithmetic(39701)

Question 1209242: -2x+y=-15 and 2x+3y=-15

Click here to see answer by math_tutor2020(3828)

Question 1209229: The real numbers a and b satisfy a - b = 2 and a^3 - b^3 = 8.
(a) Find all possible values of ab.
(b) Find all possible values of a + b.
(c) Find all possible values of a and b.
Click here to see answer by math_tutor2020(3828)

Question 1209168: Find all ordered pairs (x,y) of real numbers such that x + y = 10 and x^2 + y^2 = 62 + 2xy.
For example, to enter the solutions (2,4) and (-3,9), you would enter "(2,4),(-3,9)" (without the quotation marks).
Click here to see answer by ikleyn(53419)

Question 1209170: Find one ordered pair (x,y) of real numbers such that x + y = 8 and x^3 + y^3 = 200 - 4x^2 - 4y^2.
Click here to see answer by ikleyn(53419)

Question 1209170: Find one ordered pair (x,y) of real numbers such that x + y = 8 and x^3 + y^3 = 200 - 4x^2 - 4y^2.
Click here to see answer by greenestamps(13258)

Question 1209135: what is -1 less than or equal to 8x+2 less than or equal to 3

Click here to see answer by mccravyedwin(417)

Question 1208991: The Greenville Tigers are having team shirts made. One option is to pay Stacy's Tees a $40 setup fee and then buy the shirts for $8 each. Another option is to go to City Printing, paying $30 for a setup fee and an additional $10 per shirt. The team parent in charge of the project notices that, with a certain number of shirts, the two options will have the same cost. What is the cost?

Click here to see answer by timofer(136)

Question 1208374: 1. Solve the system and graph the curves: (x + 1) ^ 2 + 2 * (y - 4) ^ 2 = 12; y ^ 2 - 8y = 4x - 16
Click here to see answer by ikleyn(53419)

Question 1208374: 1. Solve the system and graph the curves: (x + 1) ^ 2 + 2 * (y - 4) ^ 2 = 12; y ^ 2 - 8y = 4x - 16
Click here to see answer by Edwin McCravy(20077)

Question 1207803: 5x+4y+3;2x+y+1;6x+3y+3
Click here to see answer by josgarithmetic(39701)

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