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Question 1169638: Analyze the following situation and determine which decision would be the best decision to make. Explain your answer.
A man and his spouse are expecting a baby. Their current health insurance costs $116 per month, but doesn't cover prenatal care or delivery. They can upgrade to a policy that will cover their prenatal care and delivery, but their new premium will be $269 per month. The cost of prenatal care and delivery is approximately $3000.

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Question 1169702: Eugene began to save for his retirement at age 29, and for 11 years he put $ 500 per month into an ordinary annuity at an annual interest rate of 9% compounded monthly. After the 11 years, Eugene was unable to make the monthly contribution of $ 500, so he moved the money from the annuity into another account that earned 12% interest compounded monthly. He left the money in this account for 25 years until he was ready to retire. How much money did he have for retirement?
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Question 1169703: Eugene began to save for his retirement at age 20, and for 10 years he put $ 550 per month into an ordinary annuity at an annual interest rate of 5% compounded monthly. After the 10 years, Eugene was unable to make the monthly contribution of $ 550, so he moved the money from the annuity into another account that earned 5% interest compounded monthly. He left the money in this account for 35 years until he was ready to retire. How much money did he have for retirement?
If Eugene had waited until he was 44 years old to start saving for retirement and then decided to put money into an ordinary annuity for 21 years earning 5% interest compounded monthly, what monthly payment would he have to make to accumulate the same amount for retirement as you found in the first part of the question?

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Question 1169173: Billington’s buys shirts for $21 less 25% and 20%. The shirts are priced at a regular selling price to cover expenses of 20% of regular selling price and a profit of 17% of regular selling price. For a special weekend sale, shirts were marked down 20%.
(a) What was the operating profit or loss on the shirts sold during the weekend sale?
(b)What rate of markup was realized based on cost?

P.s. I'm sorry I know this isn't algebra but i badly want to learn how to solve this. Please please please
Click here to see answer by CPhill(1959)

Question 1167970: Deshaun the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Wednesday there were 8 clients who did Plan A and 4 who did Plan B. On Thursday there were 3 clients who did Plan A and 2 who did Plan B. Deshaun trained his Wednesday clients for a total of 9 hours and his Thursday clients for a total of 4 hours. How long does each of the workout plans last?

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Question 1168762: 1. sketch 2 periods of the graph of the function f(x) = tan(2x)
2.sketch one period of the of the graphs of y =cos(x) and f(x) = -2cos(x/2) on the same coordinate plane. Include all five key in your graph
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Question 1168949: A quilt is made up of strips of
cloth, starting with an inner square surrounded
by rectangles to form successively larger
squares. The inner square and all rectangles
have a width of 1 foot. Write an expression
using summation notation that gives the sum of
the areas of all the strips of cloth used to make
the quilt shown. Then evaluate the expression.
Click here to see answer by CPhill(1959)

Question 1168530: A regular octagon is emclosed with a circle.it has an extension piece CDFE obtained by extendind F and C to E with BCE is a straight line.AF was the diameter of the circle. FE is a tangent to the circle at F.calclate the size of z(angle FEC)
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Question 1210206:
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Question 1168239: 1. A manufacturer sells kayaks to dealers for Php 94,500 with discounts of 40/10/5.
a. Determine the net price of a kayak.
b. How much is the total trade discount?
c. What is the equivalent single trade discount for this transaction?

Click here to see answer by CPhill(1959)

Question 1166360: As a receptionist for a hospital, one of Elizabeth's tasks is to schedule appointments. She allots 60 minutes for the first visit and 30 minutes for a follow-up. The doctor cannot perform more than eight follow-ups per day. The hospital has eight hours (480 minutes) available for appointments. The first visit costs $120 and the follow-up costs $70. Let x be the number of first visits and y be the number of follow-ups. Write a system of inequalities to represent the number of first visits and the number of follow-ups that can be performed.
What is the maximum income that the doctor receives per day?
a. $960 b. $1,040
c. $970 d. $1,920
Determine the number of first visits and follow-ups to be scheduled to make the maximum income.
a. 16 first visits and 0 follow-ups b. 4 first visits and 7 follow-ups
c. 8 first visits and 0 follow-ups d. 4 first visits and 8 follow-ups
Click here to see answer by ikleyn(52781)

Question 1210258: Given
Principal $10,000, Interest Rate 8%, Time 240 days (use ordinary interest)
Partial payments: On 100th day, $4,000; On 180th day, $2,000
Use the U.S. Rule to solve for total interest cost.
Note: Use 360 days a year. Do not round intermediate calculations. Round your answer to the nearest cent.
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Question 1167605: for each of the following, compute the function value for the real given number t by hand (without a calculator)
tan (t), where t is the arc of length 2pi/3 oriented clockwise on the unit circle
cot(s), where s is the arc with terminal point(-1,0)
sin(t), where t = 17pi/6

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Question 1167600: for each of the following, compute the function value for the real given number t by hand (without a calculator)
tan (t), where t is the arc of length 2pi/3 oriented clockwise on the unit circle
cot(s), where s is the arc with terminal point(-1,0)
sin(t), where t = 17pi/6
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Question 1167347: You started a business making sculptures that sell for 14.50 each. It cost you $.75 to make each sculpture. It takes you two hours to make a sculpture. You receive 50% off the selling price from the store selling the sculptures. She spends 14 hours a week making sculptures how many weeks will it take you to earn a profit of $360
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Question 1165007: The Cream and Custard Bakery makes both coffee cakes and Danish in large pans. The main
ingredients are flour and sugar. There are 25 pounds of flour and 16 pounds of sugar available
and the maximum demand for coffee cakes is 8. Five pounds of flour and 2 pounds of sugar
are required to make one pan of coffee cake, and 5 pounds of flour and 4 pounds of sugar are
required to make one pan of Danish. One pan of coffee cake has a profit of PhP 1, and one pan
of Danish has a profit of PhP 5. Determine the number of pans of cake and Danish that the
bakery must produce each day so that profit will be maximized.
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Question 1164837: Mark left town P for town Q at 10am, travelling at a uniform speed of 75km/h. Jane left town P for town Q an hour after Mark, travelling at 120km/h. She passed Mark after travelling 2/5 of the journey. she reached town Q at 4 pm. How far was Jane from town Q when she passed Mark??
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Question 1192052: Triplets Peter, Reeta and Nikita have two ways for getting home from school each day: cycle on a tandem bike or walk. The bike can carry either one or two riders at a time. Regardless of the number of people pedalling, cycling speed is 5 times walking speed. The triplets always leave school at the same time and always use the same path between school and home, whether walking or cycling. The school is 5 km from home and their walking speed is 4 kilometres per hour.
a) On Monday, Nikita and Peter cycle and Reeta walks. On reaching the point four-fifths of the way home the bike gets a puncture, so Nikita and Peter walk the rest of the way home. How far from school is Peeta when the cyclists arrive home?
b) On Tuesday, Peter and Reeta ride the bike and Nikita walks. When the cyclists arrive home, Peter hops off the bike and Reeta rides back towards school to collect Nikita. How far from school is Nikita when Reeta reaches her?
c) On Wednesday, Reeta and Nikita take the bike and Peter walks. When the cyclists are halfway home, Reeta hops off and walks the rest of the way, while Nikita heads back to pick up Peter. How far from school is Reeta when her siblings pass her on the bike?
d) On Thursday, it is Reeta's turn to walk. Peter drops Nikita off at a certain point leaving her to walk home. Meanwhile he returns to pick up Reeta and they cycle home together. If all three arrive home at the same time, how far from school are the drop-off and pick-up points?
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Question 1191376: How much would you need to deposit in an account each month in order to have $50,000 in the account in 7 years? Assume the account earns 6% interest.
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Question 1191377: You deposit $400 each month into an account earning 3% interest compounded monthly.
a) How much will you have in the account in 30 years?
b) How much total money will you put into the account?
c) How much total interest will you earn?
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Question 1190593: A. Avery and their family currently pay $1300 in rent per month. They want to know how much they could borrow for a mortgage if they wanted to make monthly payments that are the same as their current rent.
1. One possible loan is a 30-year mortgage with a 3.48% APR. How much could Avery borrow? (Round down to the dollar.)
How much would they pay back over the life of the loan?

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Question 1190655: You deposit $200 each month into an account earning 7% interest compounded monthly.
a) How much will you have in the account in 30 years? (Round down to the cents place.)
b) How much total money will you put into the account? (Give the exact value.)
c) How much total interest will you earn?
I am stuck on this; I've tried the formulas for it

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Question 1186907: The world production of gold from 1970 to 1990 can be modelled by G = 5.2t 2 - 76t + 1492, where G is the
number of tonnes of gold and t is the number of years since 1970, t = 1 for 1971 and so on.
a. What was the most amount of gold mined in one year?
b. How much gold was mined in 1978?
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Question 1179792: Which combination of limit properties is required to evaluate this limit?
lim x-->4 (24/x-2x+2)^3
a. sum, difference, product, root
b. sum, difference, product, power
c. sum, difference, quotient, power
d. sum, difference, quotient, root
e. A limit does not exist.
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Question 1179574: The graphs of the height h and thehorizontal displacement p of the red saw tooth areexamples of sine and cosine curves, respectively.Draw y = sinx and y = cosx on a graphing tool andcompare them with the graphs that you drew in thepreceding exercises. Use these graphs to answer thefollowing questions:(a)For what values of t is the red tooth 0.8 feetabove the table? 0.8 feet below the table?(b)When is the tooth 6 inches to the right of thevertical axis? When is it farthest left?
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Question 1179575: Now explore the position of the redsaw tooth in reference to an imaginary verticalaxis of symmetry of the circular blade. The red toothis initially one foot to the right of the dottedline.How far to the right of this axis is the tooth after37 seconds? After 237 seconds? After t seconds? Drawby hand a graph that shows how the displacement pof the red tooth with respect to the vertical axisis afunction of the elapsed time t.
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Question 1209832: A body of weight 500N rests on a plane inclined at 20o to the horizontal. The coefficient of friction
is 0.4, determine a force F at an angle of 15o to the plane required to
(a) Pull the body upwards
(b) Push the body downwards
(c) Pull the body downwards
(d) Push the body upwards
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Question 1170178: 1.a) Deduce that the total surface area S of a cylinder closed at both ends with height, H and base radius R is given by: S=2πR(R+H) where π is a constant.
b) Find the volume of S given that H =15.0m and R =5.0m (leaving your answer in terms of π)
c) Calculate the amount of water the tank can hold leaving your answer in terms of π.
d) Calculate the height (h) of a cuboid tank of cross-sectional area 25 metre cube which has the same capacity as the cylinder tank in (c) above.
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Question 1166885: Without expanding find the constant term and term involving x^6 in the expansion of (4x-(1/3)x²)^18
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Question 1164621: Suppose that A is a square matrix and A4 = 0 (the zero matrix). Show that (10 points)
(I − A)
−1 = I + A + A^2 + A^3
.
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Question 1167948: Assume the car can be purchased for 0% down for 60 months (in lieu of rebate).
A BMW that has a sticker price of $62,590 with factory and dealer rebates of $6,000
(a) Find the monthly payment if financed for 60 months at 0% APR. (Round your answer to the nearest cent.)
$

(b) Find the monthly payment if financed at 2.5% add-on interest for 60 months. (Round your answer to the nearest cent.)
$

(c) Use the APR approximation formula to find the APR for part (b). (Round your answer to one decimal place.)
%
(d) State whether the 0% APR or the 2.5% add-on rate should be preferred.
0% APR
2.5% add-on rate
Click here to see answer by CPhill(1959)

Question 1167857: A company buys a policy to insure its revenue in the event of major snowstorms that shut down business. The policy pays nothing for the first such snowstorm of the year and $10600 for each one thereafter, until the end of the year. The number of major snowstorms per year that shut down business has a Poisson distribution with mean 1.8.
Find the expected amount paid to the company under this policy during a one-year period.

Click here to see answer by CPhill(1959)

Question 1167763: Assume the car can be purchased for 0% down for 60 months (in lieu of rebate).
A car with a sticker price of $42,150 with factory and dealer rebates of $5,100
(a) Find the monthly payment if financed for 60 months at 0% APR. (Round your answer to the nearest cent.)
$

(b) Find the monthly payment if financed at 2.5% add-on interest for 60 months. (Round your answer to the nearest cent.)
$

(c) Use the APR approximation formula to find the APR for part (b). (Round your answer to one decimal place.)

%
(d) State whether the 0% APR or the 2.5% add-on rate should be preferred.
0% APR
2.5% add-on rate

Click here to see answer by CPhill(1959)

Question 1193499: Julita owes Jose the following amounts:
a. 55,000 at the end of 4 years,
b. 48,000 at the end of 5 years, and
c. 75,000 due in 3 years from today at 9% converted quarterly.
What single payment at the end of 2 years will settle Julita’s
obligations if money is worth 15% converted monthly?
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Question 1194896: Please help with the homework:
Calculate the sum accrued on a fixed deposit of R10000 is invested on 15 march 2021 until 1 July 2023, if interest is credited annually on the 1 July at 15,5%.
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Question 1209539: Gabriella and Mario plan to send their son to university. To pay for this they will contribute 9 equal yearly payments to an account bearing interest at the APR of 3.4%, compounded annually. Five years after their last contribution, they will begin the first of five, yearly, withdrawals of $35,600 to pay the university's bills. How large must their yearly contributions be?
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Question 1165581: How long must a temporary warehouse last to be desirable investment if it costs $ 16,000 to build, has annual maintenance and
operating cost of $ 360, provides storage space-value at $ 3,600 per year and if the company MARR is 10%? Hint: Treat MARR
as interest rate, i.
a. 8 years b. 9 years c.7 years d. 6 years
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Question 1166134: Suppose you invest $120 a month for 6 years into an account earning 8% compounded monthly. After 6 years, you leave the money, without making additional deposits, in the account for another 20 years. How much will you have in the end?
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Question 1165476: The volume of a truncated prism with an equilateral triangle as its horizontal base is equal to 3600 cm3. The vertical edges at
each corner are 4, 6, and 8 cm. respectively. Find one side of the base.
a. 22.37 b. 25.43 c. 37.22 d. 17.89
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Question 1166516: Suppose you invest $120 a month for 3 years into an account earning 8% compounded monthly. After 3 years, you leave the money, without making additional deposits, in the account for another 28 years. How much will you have in the end?
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