Exponential equation + expression of a variable from the formula - practice problems - page 2 of 3
Number of problems found: 49
- Semiannually compound interest
If you deposit $ 5,000 into an account paying 8.25% annual interest compounded semiannually, how long until there is $9350 in the account? - Decibel
What percentage of sound intensity increases if the sound intensity level increases by 1 dB? - Percentage increase
What is the annual percentage increase in the city when the population has tripled in 20 years? - Savings
The depositor regularly wants to invest the same amount of money in the financial institution at the beginning of the year and wants to save 10,000 euros at the end of the tenth year. What amount should he deposit if the annual interest rate for the annua
- Approximately 22253
The water in the container has a temperature of t1 = 80◦C, the temperature around the container is t2 = 15◦C. The dependence of temperature t on time τ (in minutes) can be expressed approximately by the formula: t = t2 +(t1 −t2)·e^(−0.05·τ) Calculate the - Volume of wood
Every year, at the same time, an increase in the volume of wood in the forest is measured. The increase is regularly p% compared to the previous year. If in 10 years the volume of wood has increased by 10%, what is the number p? - Growth of wood
The annual growth of wood in the forest is estimated at 2%. In how many years will make the forest volume double? - Mortage hypo loan
The Jonáš family decided to buy an older apartment, which cost EUR 30,000. They found EUR 17,000 and took the loan with the bank for the remaining amount. What interest did they receive if they repaid this amount for 15 years at EUR 120 per month? - Before yesterday
The merchant adds a sale sign in his shop window to the shown pair of shoes in the morning: "Today by p% cheaper than yesterday. " After a while, however, he decided that the sign saying: "Today 62.5% cheaper than the day before yesterday". Determine the
- 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? - Exponential warm
Suppose that a body with temperature T1 is placed in surroundings with temperature T0 different from that of T1. The body will either cool or warm to temperature T(t) after time t, in minutes, where T(t)=T0 + (T1-T0)e^(-kt). If we placed jello salad at 30 - Increases 5807
7.18% of the wood mass increases in the forest every year. How many years will the timber double with a steady annual increase? - Calculate 5770
Calculate how long it will take the Šetrný family to repay the loan if, after the first year, they paid €1350 in interest and the loan's interest rate was 6% p.a. They will repay the loan to the bank for €3,000 each year, and the bank will only add intere
- Population 4485
The population is 22000 people. With an annual increase of 1.4%, there will be 25,000 people. How many years will it be? - Equation: 4386
Solve the power equation: 2.1463 = 0.4179x0.419 - Equation: 4197
Solve the equation: (4096^x) · 8! = 161280 - 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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