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Question 1179946: Use the compound interest formulas A = P(1 + r/n)^nt and A = Pe^rt to solve.

Suppose that you have $11,000 to invest. Which investment yields the greater return over 9 years: 7.5% compounded continuously or 7.6% compounded semiannually?
$11,000 invested at 7.5% compounded continuously over 9 years yields the greater return.
Both investment plans yield the same return.
$11,000 invested at 7.6% compounded semiannually over 9 years yields the greater return.
Click here to see answer by ikleyn(52750)

Question 1179943: Use the compound interest formulas A = P(1 + r/n)^nt and A = Pe^rt to solve.
Find the accumulated value of an investment of $19,000 at 8% compounded annually for 10 years.
Click here to see answer by ikleyn(52750)

Question 1179948: Given f(x) = 1/x-5+3, the equation of the vertical asymptote is x = a, and the equation of the horizontal asymptote is y = b.
state the value of a
state the value of b
Click here to see answer by ikleyn(52750)

Question 1179936: If f(x) = 1/4x+2 and g(x) = −3x^2+2.
determine the value of −3 g(1)
determine the value of f^−1(1)
Click here to see answer by ikleyn(52750)

Question 1179888: Given f(x) = 1x−5+3, the equation of the vertical asymptote is x = a, and the equation of the horizontal asymptote is y = b.
state the value of a
state the value of b
Click here to see answer by ikleyn(52750)

Question 1180021: functions q and r are defined as follows.
q(x)=2x-1
r(x)=-2x^2 +1
Find the value of q(r(3))
Click here to see answer by ikleyn(52750)

Question 1180033: The function f : R --> R satisfies
f(x) f(y) = f(x + y) + xy for all real numbers x and y. Find all possible functions f.
Click here to see answer by ikleyn(52750)

Question 1179920: List the transformations, in order, that need to be applied to f(x) to obtain g(x) = 4f(−13x+1) + 11
Click here to see answer by MathLover1(20849)

Question 1179937: List the transformations, in order, that need to be applied to f(x) to obtain g(x) = 4f(−1/3x+1) + 11
Click here to see answer by MathLover1(20849)

Question 1180067: Please check the google document for the diagram!
a) Determine the area of the inscribed square as a function of x.
b) Determine the domain and range of the area function
c) Determine the perimeter of the inscribed square as a function of x
d) Determine the domain and range of the perimeter function!

https://docs.google.com/document/d/1Cl3HrcoR6jibNzxfDTIilS3imSplLY8nQUU0OpU9vLA/edit?usp=sharing
Click here to see answer by MathLover1(20849)

Question 1180065: g(x) = 3x+4, determine n such that g(-3) = g^-1(n):
Click here to see answer by MathLover1(20849)

Question 1180065: g(x) = 3x+4, determine n such that g(-3) = g^-1(n):
Click here to see answer by ikleyn(52750)

Question 1180064: Given f(x) = 2x+3 and g(x) = 4-5x, determine the x-value for which f(2x) = g(1-x).
Click here to see answer by amarjeeth123(569)

Question 1180108: Use the graph of f(x) = 2x to obtain the graph of g(x) = 2x + 2.

Click here to see answer by ikleyn(52750)

Question 1180114: Use the compound interest formulas A = P(1 + r/n)^nt and A = Pe^rt to solve.
Suppose that you have $10,000 to invest. Which investment yields the greater return over 6 years: 5.4% compounded monthly or 5.5% compounded quarterly?
Click here to see answer by ikleyn(52750)

Question 1180113: Use the compound interest formulas A = P(1 + r/n)^nt and A = Pe^rt to solve.
Find the accumulated value of an investment of $5000 at 5% compounded monthly for 8 years.
Click here to see answer by ikleyn(52750)

Question 1180112: A sample of 300 g of lead-210 decays to polonium-210 according to the function given by A (t) =300e exponent -0.032t where t is time in years. What is the amount of the sample after 60 years (to the nearest g)?
Click here to see answer by ikleyn(52750)

Question 1180110: Use the graph of f(x) = ex to obtain the graph of g(x) = e exponent6x.

Click here to see answer by ikleyn(52750)

Question 1180109: Use the graph of f(x) = 2x to obtain the graph of g(x) = 1/2 ∙ 2x.
Click here to see answer by ikleyn(52750)

Question 1180111: The population in a particular country is growing at the rate of 1.7% per year. If 7,638,000 people lived there in 1999, how many will there be in the year 2004? Use f(x)=y o e0.017t and round to the nearest

Click here to see answer by ikleyn(52750)

Question 1180066: If f(x) = ax+b/cx+d, x ≠ -d/c, -a/c, find f^-1(x)
Click here to see answer by greenestamps(13195)

Question 1180172: Find the points of intersection of the line y = 7x-42 and the circle with equation x^2+y^2-4x+6y = 12
Click here to see answer by ikleyn(52750)

Question 1180172: Find the points of intersection of the line y = 7x-42 and the circle with equation x^2+y^2-4x+6y = 12
Click here to see answer by mananth(16946)

Question 1180171: The function of f(x) = 3x^2+9x-3 has x-intercepts as p and q. So what is the value of p-pq+q?
Click here to see answer by ikleyn(52750)

Question 1180171: The function of f(x) = 3x^2+9x-3 has x-intercepts as p and q. So what is the value of p-pq+q?
Click here to see answer by greenestamps(13195)

Question 1180170: For what values of k will the graph of y = 9x^2+3kx+k have no x-intercepts?
Click here to see answer by greenestamps(13195)

Question 1180170: For what values of k will the graph of y = 9x^2+3kx+k have no x-intercepts?
Click here to see answer by ikleyn(52750)

Question 1180174: This question is from the CEMC math competition from last year.
The parabola y = -x^2 has vertex labelled P and intersects the x-axis at the points labelled A and B. The parabola translated from it's original position so that its vertex moves along the line y = x+4 to the point Q. In this new position, the parabola intersects the x-axis at the points labelled B and C. What are the coordinates of C?
Please view diagram here:
https://docs.google.com/document/d/1Cl3HrcoR6jibNzxfDTIilS3imSplLY8nQUU0OpU9vLA/edit?usp=sharing
Click here to see answer by MathLover1(20849)

Question 1180219: A television screen is 40 cm high and 60 cm wide. The picture is compressed to 62.5% of its original area, leaving a uniform dark strip around the outside. What are the dimensions of the reduced picture?
Click here to see answer by ikleyn(52750)

Question 1180184: A driver leaves his house at 7:00 a.m. and arrives at his work at 8:00 a.m. The maximum speed at which it travels is 45 miles per hour. If the speed is time dependent, describe the reasonable domain. Explain steps
Click here to see answer by greenestamps(13195)

Question 1180351: Identify the functions that exhibit a removable discontinuity.
a. f(x)=x^2+4x-21/x^2-13x+42
b. h(x)=x-3/x^2-9
c. i(x)=x^2-8x+15/x-5
d. j(x)=x+4/-2x+8
e. g(x)=2x^2-5x+12/2x+3
f. k(x)=2x^2+x-15/2x-5
Click here to see answer by ikleyn(52750)

Question 1180389: Evaluate each function rule for the given value.
a.) y=.5^x for x=3
b.) f(x)=4.3^x for x=-2
Click here to see answer by ikleyn(52750)

Question 1180425: A quadratic function in the form of y = ax^2+ bx + 9 has x-intercepts at x = -3 and x = 1. What are the values for a and b?
Click here to see answer by ikleyn(52750)

Question 1180425: A quadratic function in the form of y = ax^2+ bx + 9 has x-intercepts at x = -3 and x = 1. What are the values for a and b?
Click here to see answer by josgarithmetic(39613)

Question 1180426: Determine the value(s) of m so that the quadratic equation mx^2+6x = −m has no real roots.
Click here to see answer by MathLover1(20849)

Question 1180426: Determine the value(s) of m so that the quadratic equation mx^2+6x = −m has no real roots.
Click here to see answer by ikleyn(52750)

Question 1180496: If f(x)=2x^2-x-3 and g(x)=2x-6 find (f+g)(x)
Click here to see answer by MathLover1(20849)

Question 1180496: If f(x)=2x^2-x-3 and g(x)=2x-6 find (f+g)(x)
Click here to see answer by josgarithmetic(39613)

Question 1180501: If f(x)=2x^2-x-3 and g(x)=2x-6 find (g-f)(-2)
Click here to see answer by ikleyn(52750)

Question 1180501: If f(x)=2x^2-x-3 and g(x)=2x-6 find (g-f)(-2)
Click here to see answer by MathLover1(20849)

Question 1180500: If f(x)=2x^2-x-3 and g(x)=2x-6 find (f-g)(x)
Click here to see answer by ikleyn(52750)

Question 1180499: If f(x)=2x^2-x-3 and g(x)=2x-6 find (g-f)(x)
Click here to see answer by ikleyn(52750)

Question 1180498: If f(x)=2x^2-x-3 and g(x)=2x-6 find (f-g)(f)
Click here to see answer by ikleyn(52750)

Question 1180503: Given the quadratic function y = a(x−5)(x+3) passes through the point (1, 32).
State the value of a and the y-intercept of this function.
Click here to see answer by MathLover1(20849)

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