Questions on Algebra in Finance answered by real tutors!

Tutors Answer Your Questions about Finance (FREE)

Question 1126538: Consider a circle whose size can vary. Let r represent the radius of the circle (in cm) and let C represent the circumference of the circle (in cm). Suppose the function g determines the radius of the circle in cm, r, given its circumference in cm, C.
A)Write a function formula for g.
Click here to see answer by Alan3354(69443)

Question 1126379: 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). Notice that this means that only one side of the garden necessarily has a length of l meters.
A)Suppose the length of the garden is 15 meters (l=15)
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 Alan3354(69443)

Question 1126650: A box is formed by cutting squares from the four corners of a sheet of paper and folding up the sides. However, the size of the paper is unknown!
The function f determines the volume of the box (in cubic inches) given a cutout length (in inches).
A)Use function notation to represent the volume of the box (in cubic inches) when the cutout length is 0.5 inches.
B)Use function notation to represent the volume of the box (in cubic inches) when the cutout length is 1.4 inches.
C)Use function notation to represent how much the volume of the box (in cubic inches) changes by if the cutout length increases from 0.5 inches to 1.4 inches.
D)Use function notation to represent how much the volume of the box (in cubic inches) changes by if the cutout length increases from 5.4 inches to 5.5 inches.

Click here to see answer by josgarithmetic(39617)

Question 1126649: 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), and let V
represent the volume of the box (in cubic inches).
A)Write a formula that expresses V in terms of x.
B)Suppose the function f determines the volume of the box (in cubic inches) given a cutout length (in inches). Write a function formula for F.
C)What is the domain of f? Enter your answer as an interval
D)What is the range of f? Enter your answer as an interval

Click here to see answer by Boreal(15235)

Question 1126651: Suppose f is a linear function and f(x)varies at a constant rate of change of 1.5 with respect to x. Suppose we know that f(1.4)=2.5.
B)Write a function formula for f(x). (Hint: use the same thinking as in (a), but now imagine x varying from x=1.4 to any new value of x)

Click here to see answer by solver91311(24713)

Question 1126646: Find the gross pay for each paycheck given an annual salary of $63,258 paid biweekly.
Click here to see answer by josmiceli(19441)

Question 1126645: Cindy Ellis bought 300 shares of stock at $35, and after a year it was at $33. If she wants to sell, but at least break even including her brokerage fees, what price per share will she need to get? How much will she need to get in order to get a 5% return on her investment? Assume no dividends
Click here to see answer by solver91311(24713)

Question 1126539: 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), and let V represent the volume of the box (in cubic inches).
A) Write a formula that expresses V in terms of x.
B)Suppose the function f determines the volume of the box (in cubic inches) given a cutout length (in inches). Write a function formula for f.
C)What is the domain of f ? Enter your answer as an interval.
D)What is the range of f ? Enter your answer as an interval.
Click here to see answer by josgarithmetic(39617)

Question 1126719: To determine the size of a park's moose population, naturalists catch
63 moose, tag them, and then set them free. Months later
20 moose are caught, of which 15 have tags. Estimate the size of the moose population.
Click here to see answer by ikleyn(52781)

Question 1126718: A long distance trucker traveled 260 miles in one direction during a snow storm. The return trip in rainy weather was accomplished at double the speed and took
5 hours less time. Find the speed going.
Click here to see answer by ikleyn(52781)

Question 1126734: Solve for x
(ax-b)/x-d=c (x is not equal to 0)
Click here to see answer by josgarithmetic(39617)

Question 1126732: Solve for x.
p(x+q)=q(x-p)

Click here to see answer by josgarithmetic(39617)

Question 1126733: Solve for x
x/a+x/b=c/d
Click here to see answer by math_helper(2461)

Question 1126733: Solve for x
x/a+x/b=c/d
Click here to see answer by MathTherapy(10552)

Question 1126720: (42x5−49x3+6x2)�7x2
Click here to see answer by ikleyn(52781)

Question 1126773: If the random variable X denotes the real valued outcomes given in the following table with the given frequency of occurrence of each of the outcomes, fill in the last line of the table and find the expected value of X.

Outcome -2 -1 0 1 2
Frequency 23 29 24 23 29
P(X) = ? ? ? ? ?
Click here to see answer by Boreal(15235)

Question 1126766: A tortoise and a hare are competing in a 1600-meter race. The arrogant hare decides to let the tortoise have a 510-meter head start. When the start gun is fired the hare begins running at a constant speed of 9 meters per second and the tortoise begins crawling at a constant speed of 5 meters per second.
A)Define a function f to represent the tortoise's distance from the finish line (in meters) in terms of the number of seconds t since the start of the race.
B)Solve f(t)=0for t.
C)Define a function g to represent the hare's distance from the finish line (in meters) in terms of the number of seconds t since the start of the race.
D)Solve g(t)=0 for t
E) Who won the race?

Click here to see answer by josmiceli(19441)

Question 1126816: __:14=15:21
Click here to see answer by josgarithmetic(39617)

Question 1126763: A circle has an initial radius of 0 cm and then the radius begins increasing at a constant rate of 4 cm per second.
A)Write a formula that expresses the radius of the circle in cm, r, in terms of the number of seconds t since the circle started growing.
B)Write a formula that expresses the area of the circle in square cm, A, in terms of the radius of the circle in cm, r.
C)Write a formula that expresses the area of the circle in square cm, A,in terms of the number of seconds t since the circle started growing
D)Write your answer to part (c) in expanded form - so that your answer does not contain any parentheses.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1126861: Solving word problems consisting of separating numbers.
Click here to see answer by ikleyn(52781)

Question 1126883: The difference of two numbers is 9. The second number is 3/4 the first. what is the smaller number?
Click here to see answer by Alan3354(69443)

Question 1126882: One number is 13 less than the other. The other number is 10. What is the other number?
Click here to see answer by josmiceli(19441)

Question 1126879: Theresa has two baskets of mangoes. She has a total of 90 mangoes. The number of mangoes in a smaller basket is 1/5 that of the larger basket. How many mangoes are there in the larger basket?
Click here to see answer by josmiceli(19441)

Question 1126878: A box can hold 36 cups or 24 jugs. If there are already 6 jugs and 19 cups in the box, how many more cups can Miss Cruz put into the box?
Click here to see answer by josmiceli(19441)

Question 1126893: The sum of three consecutive odd integers is
171 What are the integers?
The first integer is
The second integer is
The third integer is

Click here to see answer by Boreal(15235)

Question 1126892: The numbers on two consecutively numbered gym lockers have a sum of
145 What are the locker numbers?

Click here to see answer by MathLover1(20849)

Question 1126891: The sum of two consecutive mile markers on the interstate is
655 Find the numbers on the markers.

Let x equal the first mile marker Write an expression for the second mile marker.

Click here to see answer by MathLover1(20849)

Question 1126889: Find values for h and k so that the system has infinitely many solutions. Write answers as integers or fractions in lowest terms.

−8x − 6y = h
12x + ky = 24

h=

k=

Click here to see answer by MathLover1(20849)

Question 1126894: In a triangle the measure of the first angle is three times three times
the measure of the second angle. The measure of the third angle is 55� more than the measure of the second angle. Use the fact that the sum of the measures of the three angles of a triangle is 180 � to find the measure of each angle.
The measure of the first angle is
Click here to see answer by josgarithmetic(39617)

Question 1126921: The sum of two consecutive even integers is 74. What are the two numbers?
Click here to see answer by math_helper(2461)

Question 1126921: The sum of two consecutive even integers is 74. What are the two numbers?
Click here to see answer by Alan3354(69443)

Question 1126919: The sum of two consecutive even integers is 74. What are the 2 numbers?
Click here to see answer by josgarithmetic(39617)

Question 1126966: Milena deposited $6 comma 000 in a certificate of deposit (CD) account that pays 9% annual interest, compounded monthly. How much will the balance of the account be in 6 years?

Click here to see answer by ikleyn(52781)

Question 1126888: Clifford is decorating mini cupcakes and deluxe cupcakes. A mini cupcake uses 0.6 ounces of frosting and 2 candies, while a deluxe cupcake uses 1.5 ounces of frosting and 6 candies. Clifford has 43.5 ounces of frosting and 162 candies available. How many mini cupcakes and deluxe cupcakes should Clifford decorate to use up all of his frosting and candies?

Number of mini cupcakes:

Number of deluxe cupcakes:
Click here to see answer by josgarithmetic(39617)

Question 1127059: A rectangle has a fixed width of 8 inches and a length of 0 inches. The length of the rectangle then begins increasing at 2.4 inches per second.
A)Write a formula that expresses the length of the rectangle in inches, l, in terms of the number of seconds t since the rectangle began growing.
B)Write a formula that expresses the perimeter of the rectangle in inches, P, in terms of the length of the rectangle in inches, l.
C)Write a formula that expresses the perimeter of the rectangle in inches, P, in terms of the number of seconds t since the rectangle began growing.
D)Suppose the function g determines the perimeter of the rectangle in inches given a number of seconds t since the rectangle started growing. Write a function formula for g.
Click here to see answer by Theo(13342)

Question 1127058: The side length of a square starts at 0 cm and then begins increasing at a constant rate of 10 cm per second.
A) Write a formula that expresses the side length of the square in cm, s, in terms of the number of seconds t since the square started growing.
B)Write a formula that expresses the area of the square in cm2, A, in terms of the side length of the square in cm, s.
C)Write a formula that expresses the area of the square in cm2, A, in terms of the number of seconds t since the square started growing.
D)Suppose the function f determines the area of the square in cm2 given a number of seconds t since the square started growing. Write a function formula for f.
Click here to see answer by Theo(13342)

Question 1127104: Joe Starns earns an annual salary of $31,420; what are his biweekly gross earnings?
Click here to see answer by MathLover1(20849)

Question 1127152: A) Mikayla's car gets 31 miles per gallon and gas costs $3.53 per gallons. Define a function f that determines the price (in dollars) of the gas Mikayla used given a number of miles that Mikayla drove, m.
B) A rectangle has a fixed perimeter of 350 but the length and width of the rectangle can vary. Define a function g that determines the area of the rectangle (in square inches) given the length of the rectangle in inches, l.
Click here to see answer by josgarithmetic(39617)

Question 1127156: Sophia and Issac invested $27000 for 6 years p.a. interest compounding annually. What is the amount of interest earned?

Click here to see answer by Boreal(15235)

Question 1127161: due to off season, the price of a blanket reduced by 12% to rupees 748 what was its original price?
Click here to see answer by josmiceli(19441)

Question 1127060: a)Evaluate f(5)where f(x)=x2+(12-5x)/8x
F(5) =
b)Evaluate g(x+3) where g(x)=3x2-6x+8.
c)Evaluate h(3x)where h(y)=y3-6/7y.

Click here to see answer by Alan3354(69443)

Question 1127157: Calculate the present value, to the nearest cent, for each of the following:
a) Future value = $34000, Interest rate = 4% p.a, Time period = 4 years
Click here to see answer by jim_thompson5910(35256)

Question 1127232: A rectangle has a fixed perimeter of 350 but the length and width of the rectangle can vary. Define a function g that determines the area of the rectangle (in square inches) given the length of the rectangle in inches, l.
Click here to see answer by stanbon(75887)

Question 1127163: Jean invested a sum of money, compounded quarterly. After 3 years, her investment grew by 60%. FInd the interest rate per annum.
Click here to see answer by ikleyn(52781)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560