Tutors Answer Your Questions about Exponential-and-logarithmic-functions (FREE)
Question 974322: Solve for x algebraically: ((e^x)-(e^-x))/2=5. Consider exponential equations of quadratic type.
I think the answer is supposed to be x=ln(5+sqrt(26)) but I can't figure out the steps to get it. So far I have (1/2)((e^x)-(e^-x))-5=0. From here I'm lost.
Click here to see answer by Alan3354(69443)   |
Question 976020: Consider the system of equations:
x + ay = 4
ax + 9y = b
(A) For which value of a does the above system of equation have a unique solution?
(B) Find the values of a and b for which the system has MORE THAN ONE set of solutions.
Please help me, I have tried everything. Please show the steps for the answer as well. Thank you
Click here to see answer by josgarithmetic(39620) |
Question 976223: the formula S=C(1+r)^t models inflation, where :
a. C=the value today
b. r=the annual inflation rate
c. S=the inflated value t years from now
use this formula to solve the following problem:
if the inflation rate is 3 percent, how much will a house now worth 510,000 be worth in 5 years?
Click here to see answer by jim_thompson5910(35256) |
Question 976027: A function y is of the form y = ax^n + bx where a, b and n are real numbers. When x is equal to 1, 3 and 9 respectively, the corresponding values of y are 4, 6, and 15.
Find two (2) relations between a and b, not involving n. Hence, or otherwise, find the exact numerical values of a and b, and the value of n correct to 3 decimal places.
Click here to see answer by Fombitz(32388)  |
Question 976861: find the common difference for the arithmetic sequence 8, 13, 18, 23, ...
a. 15
b. 5
c. 3.75
d. 8
write the first five terms of the arithmetic sequence
a1=8 ; d=4
a. 12, 16, 20, 24, 28
b. 8, 12, 16, 20, 24
c. 0, 8, 12, 16, 20
d. 8, 11, 14, 17, 20
Click here to see answer by richwmiller(17219)  |
Question 976867: find the first five terms of the geometric sequence?
a1=4, r=3
a. 12, 36, 108, 324, 972
b. 3, 12, 48, 192, 768
c. 4, 12, 36, 108, 324
d. 4, 7, 10, 13, 16
Click here to see answer by josgarithmetic(39620) |
Question 976865: find a8 when a1 = -6, d=2. use the formula for the general term ( the n^th term ) of an arithmetic sequence to find the indicated term of the sequence with the given first term , a1 and common difference , d.
a. 10
b. 8
c. -20
d. -22
find the sum of the first 20 terms of the arithmetic sequence 5, 13, 21, 29
a. 1700
b. 1620
c. 1627
d. 165
Click here to see answer by Cromlix(4381)  |
Question 977094: At his son's birth, a man invested $2,000 in savings at 6% for his son's college education. Approximately how much, to the nearest dollar, will be available in 19 years?
≈ $
Because of inflation, money is depreciating in real value. If the rate of inflation is 8% a year, what is the current real value, to the nearest dollar, from the preceding problem above? After 19 years, did the father and son have more or less money, as measured by current real value, than they did at the son's birth?
real value ≈ $
Did the father and son have more or less money? Type "more" or "less" to answer the question.
They had (more/less) money.
Click here to see answer by JulietG(1812)  |
|
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
|
