Tutors Answer Your Questions about Finance (FREE)
Question 1126048: Points (5, 2) and (8, –7) are endpoints of the diameter of a circle.
(a) What is the length of the diameter? Give the exact answer, simplified as much as possible.
Show work.
(b) What is the center point C of the circle?
(c) Given the point C you found in part (b), state the point symmetric to C about the x-axis.
Click here to see answer by MathLover1(20849)   |
Question 1126064: Please help. FREE FALL. A girl throws a ball vertically upward with a speed of 20 ft/s from the roof of a building 60 ft high. How long will it take the ball to reach the ground? What will be its speed when it strikes the ground?
Click here to see answer by rothauserc(4718)  |
Question 1126080: please help. A boy on the bridge throws a stone horizontally with a speed of 25 m/s releasing the stone from a point 19.6m above the surface of the river. How far from the point directly below the boy will the stone strike the water?
This is projectile right? How to solve this? Thank you.
Click here to see answer by Alex.33(110)  |
Question 1126051: Jose is 11 feet from a mailbox when all of a sudden he begins walking directly away from the mailbox at a constant speed of 6 feet per second.
A) how far is Jose from the mailbox 7 seconds after he started walking?
B) write a formula that expresses Jose’s distance from the mailbox(in feet),d,in terms of the number of seconds t since he started walking.
C) as Jose walks away from the mailbox, is his distance from the mailbox proportional to the time elapsed since he started walking away from the mailbox?
Click here to see answer by Alan3354(69443)  |
Question 1126108: A trucks varying distance from the warehouse,d,measured in miles is modeled by the formula d=t squared+ 70t where t is the varying number of hours since the truck left the warehouse. The trucks destination is 442.25 miles away.
A)how many hours will it take the truck to reach the destination?
B) a car left the warehouse at the same time as the truck and wants to get to the destination at the same time. What constant speed would the car have to travel in order to reach the destination at the same time as the truck?
Click here to see answer by josmiceli(19441)  |
Question 1126115: A)You are leaving for a concert that starts in 6 hours and is 360 miles from your house. What average speed (in miles per hour) do you need to travel in order to arrive at the concert on time ?
B) school starts in 37 minutes and you live 13 miles from school. What average speed (in miles per hour ) do you need to travel in order to arrive at school on time ?
Click here to see answer by josgarithmetic(39617) |
Question 1126050: A tortoise and a hare are competing in a 1600-meter race. The arrogant hate decides to let thebtortoise have a 580-meter head start. When the start gun is fired the hare begins running at a constant speed of 8 meters per second and the tortoise begins crawling at a constant speed of 5 meters per second.
Let t represent the number of seconds that have elapsed since the start gun was fired.
A) write an expression in terms of t that represents the hares distance from the starting line (in meters).
B) write an expression in terms of t that represents the tortoises distance from the starting line (in meters).
C) write an expression in terms of t that represents the number of meters the tortoise is ahead of the hare.
D) who finished the race first ?
Click here to see answer by Theo(13342)  |
Question 1126183: Need answer confirmation please.
Lisa put $55,000 in an education
account on the day her son was born. If
the account earned 5.35% interest
compounded monthly, what was the total
in the account when her son turned 18?
Round the final answer to the nearest cent.
What I did:
A=55000(1+0.0535/12)^12*18
A=55000(1.00446)^12*18
A=55000(1.00446)^216
A=55000(2.16488)
A=143818.4
$143,818.40
Thank you!
Click here to see answer by Boreal(15235)  |
Question 1126218: Consider the following situation, which involves two options. Determine which option is less expensive. Are there unstated factors that might affect your decision?
You currently drive
330 miles per week in a car that gets
19 miles per gallon of gas. You are considering buying a new fuel-efficient car for
15,000 (after trade-in on your current car) that gets
43 miles per gallon. Insurance premiums for the new and old car are $
1000
700 per year, respectively. You anticipate spending $
1300
1300 per year on repairs for the old car and having no repairs on the new car. Assume gas costs $
3.00
3.00 per gallon. Over a five-year period, is it less expensive to keep your old car or buy the new car?
Over a five-year period, the cost of the old car is $
nothing
and the cost of the new car is $
nothing
. Thus, over a five-year period, it is less expensive to
▼
keep your old car.
buy the new car.
(Round to the nearest dollar as needed.)
Click here to see answer by Boreal(15235) |
Question 1126264: Suppose an individual makes an initial investment of $1000 in an account that earns 7.8%, compounded monthly, and makes additional contributions of $100 at the end of each month for a period of 12 years. After these 12 years, this individual wants to make withdrawals at the end of each month for the next 5 years (so that the account balance will be reduced to $0). (Round your answers to the nearest cent.)
(a) How much is in the account after the last deposit is made?
(b) How much was deposited?
I got this one right: 15400
(c) What is the amount of each withdrawal?
(d) What is the total amount withdrawn?
Click here to see answer by Theo(13342) |
Question 1126310: Jodi is starting up her new model train shop. She pays out $1250 every month for her rent and utilities. Each train costs her $75.00 to purchase. If she sells each train for $200.00, how many trains must she sell this month to break even?
Click here to see answer by 22159(3)  |
Question 1126312: A candle is lit and burns and the length of the candle changes af a constant rate of -1.6 inches per hour. 3 hours after the candle was lit the candle is 8.8 inches long.
A) write a formula that expresses the remaining length of the candle in inches,L, in terms of the number of hours T that have elapsed since the candle was lit.
B) use your formula from part A. To determine how long the candle was before it was lit.
Click here to see answer by josgarithmetic(39617) |
Question 1126357: A box is formed by cutting squares from the four corners of a 9"-wide by 12"-long sheet of paper and folding up the sides.
Let x represent the length of the side of the square cutout (in inches)
A)Write an expression in terms of x that represents the width of the base of the box (in inches).
B)Write an expression in terms of x that represents the lenght of the base of the box (in inches).
C)Write an expression in terms of x that represents the height of the base of the box (in inches).
D)Write a formula that expresses the volume of the box in cubic inches, V, in terms of the cutout length in inches, x.
Click here to see answer by josgarithmetic(39617) |
Question 1126356: A farmer has 70 meters of fencing and would like to use the fencing to create a rectangular garden in the middle of an open field.
Let l represent the varying length of the rectangular garden (in meters).
A)Suppose the length of the garden is 20 meters (l=20).
i)What is the width of the garden?
ii)What is the area of the garden?
B)Write an expression in terms of l that represents the width of the garden (in meters)
c)Write an expression in terms of l that represents the area of the garden (in meters).
Click here to see answer by rothauserc(4718) |
Question 1126355: A farmer has 70 meters of fencing and would like to use the fencing to create a rectangular garden where one of the sides of the garden is against the side of a barn.
Let l represent the varying length of the rectangular garden (in meters) and let A
represent the area of the rectangular garden (in square meters).
A)Write a formula that expresses A in terms of l.
B)What is the maximum area of the garden?
C)What is the length and width of the garden configuration that produces the maximum area?
D)What if the farmer instead had 300 meters of fencing to create the garden. What is the length and width of the garden configuration that produces the maximum area?
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 1126396: tim needs to fill three 20l barrels with oil. if his oil dispenser flows at 100 ml/s, how long will it take him to fill
the 3 containers? (in minutes)
John drove for 6 hours. In that time he managed to complete 2/6 of his journey.
What is the total length of his journey?
for both questions please show formulas (with equasions) and . . . . feel free to use algebra or decimals
Regarding the 2/6ths fraction can someone tell me if we change 6 to 1/6ths? Do they both have to be fractions to proceed? Can we convert both to decimals?
thanks
Click here to see answer by josgarithmetic(39617) |
Question 1126434: Bacteria are growing in a culture, and their number is increasing at the rate of 5 % an hour . Initially , 400 bacteria are present.
(a) Determine an equation that gives the numbet, N of bacteria present after t hours?
(b) How many bacteria are present after one hour and After four hour?
Click here to see answer by ikleyn(52781)  |
Question 1126433: Bacteria are growing in a culture, and their number is increasing at the rate of 5 % an hour . Initially , 400 bacteria are present.
(a) Determine an equation that gives the numbet, N of bacteria present after t hours.
(b) How many bacteria are present after one hour and After four hour
Click here to see answer by ikleyn(52781) |
Question 1126436: A company produces a product at a cost of 6 rials per unit. The fixed costs are 2000 rials.
The product sells at 8 rials per unit.
(a) Find the total cost YT C.
(b) Find the total revenue YT R.
(c) Find how many units must be produced and sold to make a profit of 12000 rials.
Click here to see answer by Theo(13342) |
Question 1126437: Bacteria are growing in a culture, and their number is increasing at the rate of 5 % an hour . Initially , 400 bacteria are present.
(a) Determine an equation that gives the numbet, N of bacteria present after t hours.
(b) How many bacteria are present after one hour and After four hour
Click here to see answer by Theo(13342) |
Question 1126426: A young couple wants to have a college fund that will pay $40,000 at the end of each half-year for 8 years.
(a) If they can invest at 9%, compounded semiannually, how much do they need to invest at the end of each 6-month period for the next 18 years to begin making their college withdrawals 6 months after their last investment? (Round your answer to the nearest cent.) Answer: 5215.18
I got this one right by using the present value ordinary annuity formula: A = R[(1-(1+i)^-n)/i]
I subbed in the numbers 40000[(1-(1+0.045)^-16)/0.045] = 449360.60
then I plugged in the answer into the S variable in the future value ordinary annuity formula: S = R[(((1+i)^n)-1)/i] and solved for R
449360.60 = R[(((1+0.045)^36)-1)/0.045]
R = 5215.18
(b) Suppose 8 years after beginning the annuity payments, they receive an inheritance of $39,000 that they contribute to the account, and they continue to make their regular payments as found in part (a). How many college withdrawals will they be able to make before the account balance is $0? (Round your answer to the nearest whole number.) Answer: 22 withdrawals
Now for this question I'm not sure how to get to this answer. I know I am supposed to use the ordinary annuity formulas but I just can't arrive at 22.
Keep in mind these answers are provided by the web assign online platform so 22 withdrawals is without a doubt the right answer.
I appreciate any solutions using the formulas I provided! Thanks :)
Click here to see answer by jim_thompson5910(35256) |
Question 1126461: An editor wants to publish a new graphic novel. Before being approved, the publisher needs to make sure that it can profit with the production cost and staff.
Their accountant has given them a cost equation of y=0.55x+1600 and a revenue equation of y=0.8x.
Calculate and interpret the break-even point.
Click here to see answer by addingup(3677)  |
Question 1126376: A box is formed by cutting squares from the four corners of a sheet of paper and folding up the sides
A)Suppose the paper is 5"-wide by 7"-long.
I)What is the maximum volume for the box?
ii)What is the maximum volume for the box?
B)Suppose we instead create the box from a 7"-wide by 9"-long sheet of paper.
I)What is the maximum volume for this box?
ii)What cutout length produces the maximum volume?
Click here to see answer by josgarithmetic(39617) |
Question 1126375: A farmer has 90 meters of fencing and would like to use the fencing to create a rectangular garden in the middle of an open field.
Let l represent the varying length of the rectangular garden (in meters) and let A
represent the area of the garden (in square meters).
A)Write a formula that expresses A in terms of l.
B)What is the maximum area of the garden?
C)What is the length and width of the garden configuration that produces the maximum area?
D)What if the farmer instead had 250 meters of fencing to create the garden. What is the length and width of the garden configuration that produces the maximum area?
Click here to see answer by josgarithmetic(39617) |
Question 1126506: A box is formed by cutting squares from the four corners of a 5"-wide by 7"-long sheet of paper and folding up the sides.
Let x represent the length of the side of the square cutout (in inches), let w represent the width of the base of the box (in inches), let l represent the length of the base of the box (in inches), let h represent the height of the box (in inches), and let V represent the volume of the box (in cubic inches).
Complete the table of values below. If an entry cannot be completed, enter "DNE".
x , WIDTH , LENGTH , HEIGHT , VOLUME
0 , 5 , 7 , 0 , 0
0.5 , (BLANK) , (BLANK) , 0.5 , (BLANK)
(BLANK) , 3 , (BLANK) , (BLANK) , (BLANK)
2.5 , (BLANK), (BLANK) , 2.5 , (BLANK)
Click here to see answer by josgarithmetic(39617) |
Question 1126541: Koech left home to a shopping centre 12km away, running at 8km/hr. 15minutes later, mutua left the same home and cycled to the shopping centre at 20km/hr. Calculate the distance to the shopping centre at which mutua caught up with koech?
Click here to see answer by MathLover1(20849) |
Question 1126569: Mr. Davies purchased 500 shares of stock at 43.69, recieved a dividend of 37 cents per share, and then sold 300 shares at 49. He then recieved a dividend of 75 cents per share on the remaining stock and subsequently sold the remaining shares at 51.25. Find his profit.
Click here to see answer by josmiceli(19441) |
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