Logarithm + exponentiation - practice problems
Number of problems found: 31
- Compound interest
Joel borrowed $3208.5 on November 2, 2021, at 3.6% p.a. How many days would it take for him to repay the loan if he made a payment of $ 3,720.34? Round up to the nearest day. - Years 3
How long will it take for a given sum of money to triple itself at 20% annual compound interest? - Geometric series
How many terms of the geometric series 8+4+2+1+0.5+... must be taken for the sum to get within 10 to the power minus 4 of its sum to infinity? - Millimeters 82983
Determine what thickness of the shielding material will be required if we reduce the radiation to 3% of the original value if we know that a thickness of 6 mm will reduce the level of the same radiation by 9%. Round up to the whole value in millimeters (t
- Written 81992
8% of the price of the machine is written off every year. In how many years will the price drop from 250,000 to 150,000? - Simplify logarithm expr
Given that logxU + logxV =p and logxU - logxV =q Prove that U=x^½(p+q) - MP3 player
Mary plans to buy a new MP3 player for 90 USD. And every month, the amount he saved in the previous month doubles. If she saves 3 USD in the first month, how many months will Mary save enough to buy an MP3 player? - Finite geometric sequence
Find the remaining unknown characteristics in the finite geometric sequence, if given: a1 = 18, an = 13122, sn = 19674, n =? q =? - Percentage increase
What is the annual percentage increase in the city when the population has tripled in 20 years?
- Exponential 8360
Solve the exponential equation: 8 raised to x = 40 - Powers 3
2 to the power of n divided by 4 to the power of -3 equal 4. What is the value of n? - Geometric progression
In geometric progression, a1 = 7, q = 5. Find the condition for n to sum first n members is sn≤217. - One-eighth 6206
Water lilies grow on the pond, and their number doubles every day. We will cover the whole level in 12 days. In how many days will one-eighth of the surface be covered? - Water lilies
Water lilies are growing on the pond, and their number is doubling every day. The whole layer is covered in 12 days. How many days will it cover eight layers?
- Interest 6047
Mr. Demikát took out a loan worth 5,000 euros from the bank with an interest rate of 12 percent. How many months will it repay if the monthly payment is 80 euros? - Exponential equation
Solve for x: (4^x):0,5=2/64. - Equation: 4386
Solve the power equation: 2.1463 = 0.4179x0.419 - Determine 4104
Determine the value of x in this equation: (0.125^x) · 104 = 5000 - Expression: 4085
Determine the value of x and y in the expression: x! · 10^y = 0.0504.
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