Questions on Algebra: Decimal numbers, power of 10, rounding answered by real tutors!

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Question 1209351: A bank offers 5% compound interest calculated on half yearly basi. A customer deposit 1600 each on 1st January and 1st July of a year. Find the interest it would have gained at the end of the year

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Question 1209349: Find the number of bases n \ge 2$ such that 100_n + 1_n is prime.
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Question 1209352: Please help me solve this equation:
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Question 1209369: A sum of money doubles itself in 10 years. The number of years it would triple itself is?
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Question 1209409: Estimate 247^9 without using a calculator. I asked my teacher and she said a hint was 200 < 247 < 300. I'm still really stuck. Please help?
Click here to see answer by math_tutor2020(3816)

Question 1209410: Let S be the set of all real numbers of the form
(a_1)/(3) + (a_2)/(3^2) + (a_3)/(3^3) + ...
where (a_i) is equal to either 0, 1, or 2 for each i.
(a) Is the number 1/4 in the set S?
(b) Is the number 1/7 in the set S?
Click here to see answer by ikleyn(52780)

Question 1209801: Compute
1.11111 + 0.11111 + 0.01111 + 0.00111 + 0.00011 + 0.00001
Click here to see answer by CPhill(1959)

Question 1209801: Compute
1.11111 + 0.11111 + 0.01111 + 0.00111 + 0.00011 + 0.00001
Click here to see answer by Edwin McCravy(20054)

Question 1210180: Find the three digit number such that the sum of its digits is equal to 12, the product of its digit is equal to 48 and the number is divisible by 6.

Click here to see answer by CPhill(1959)

Question 1210225: Consider the sequence
1, 3, 4, 9, 10, 12, 13, ...
which consists of every positive integer that can be expressed as a sum of distinct powers of 3.
What is the first term that is greater than 20?
Click here to see answer by CPhill(1959)

Question 1210226: Consider the sequence
1, 5, 6, 25, 26, 30, 31, ...
which consists of every positive integer that can be expressed as a sum of distinct powers of 5.
What is the first term that is greater than 50?
Click here to see answer by CPhill(1959)

Question 1210236: 2^2x-3 — 2^2x-2 — 1 = 0
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Question 1210236: 2^2x-3 — 2^2x-2 — 1 = 0
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Question 1210236: 2^2x-3 — 2^2x-2 — 1 = 0
Click here to see answer by ikleyn(52780)

Question 1210236: 2^2x-3 — 2^2x-2 — 1 = 0
Click here to see answer by Edwin McCravy(20054)

Question 1210237: In a basket u have balls numbered 1-47. Odd numbers are 15 even numbers are 22
What's the probability of picking 5 even numbers at random and 5 odd numbers
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Question 1210268: A sum of money amounts to ₦5,280 in 4 years at a certain rate of simple interest. If the same amount is invested at a 2% higher interest rate, it amounts to ₦5,520 in the same time.
Find:
- The principal
- The original rate of interest
Click here to see answer by Edwin McCravy(20054)

Question 1210284: The sum of three numbers in a geometric progression GP is 13 and there products is -64. Find the numbers.
Click here to see answer by ikleyn(52780)

Question 1210284: The sum of three numbers in a geometric progression GP is 13 and there products is -64. Find the numbers.
Click here to see answer by greenestamps(13200)

Question 1210354: The monthly salary of Mr. Johnson was ₦320,000 for each of the first three years. He then got an annual increment of ₦40,000 per month for each of the following successive 12 years. His salary remained stationary till retirement when he found that his average monthly salary during the service period was ₦698,000.

Required:
(a) Prove that there is an Arithmetic Progression (AP) in the first 3 years of service.
(b) Compute the total salary in the first 3 years of service.
(c) Calculate the monthly and annual salary for the fourth year of service.
(d) Determine the monthly and annual salary for the ninth year of service.
(e) Find the total salary up to the 12th year of service.
(f) Obtain the total salary up to the 15th year of service.
(g) Find the monthly salary at the end of the 15th year of service.
(h) Compute the period of service.
Click here to see answer by Edwin McCravy(20054)

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