# Exponential equation - math word problems

#### Number of problems found: 54

- Decibel

By what percentage does the sound intensity increase if the sound intensity level increases by 1 dB? - Investment

1000$ is invested at 10% compound interest. What factor is the capital multiplied by each year? How much will be there after n=12 years? - The city 3

The city has 22,000 residents. How long it is expected to have 25,000 residents if the average annual population growth is 1.4%? - Powers 3

2 to the power of n divided by 4 to the power of -3 equal 4. What is the vaule of n? - Water lilies

Water lilies are growing on the pond and their number is doubled every day. The whole layer is covered in 12 days. How many days will it cover 8 layers? - Geometric sequence 3

In geometric sequence is a_{8}= 312500; a_{11}= 39062500; s_{n}=1953124. Calculate the first item a_{1}, quotient q and n - number of members by their sum s_n. - An investment

How long will it take for an investment to double at a simple interest rate of 5.10% p. A. ? Express the answer in years and months, rounded up to the next month. - Sum-log

The sum of two numbers is 32, the sum of their logarithms (base 10) is 2.2. Determine these numbers. - Half life

Determine the half life of bismuth, when bismuth weight from the original weight of 32 g was only 2 grams in 242 minutes. - 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? - If you 4

If you deposit $2500 in an account paying 11% annual interest compounded quarterly, how long until there is the $4500 in the account? - Six speeds

A drilling machine is to have 6 speed ranging from 50 to 750 revolution per minute. If the speed forms a geometric progression, determine their values. - If you 2

If you deposit $4000 into an account paying 9% annual interest compounded monthly, how long until there is $10000 in the account? - Compound Interest

If you deposit $6000 in an account paying 6.5% annual interest compounded quarterly, how long until there is $12600 in the account? - Semiannually compound interest

If you deposit $5000 into an account paying 8.25% annual interest compounded semiannually, how long until there is $9350 in the account? - Insert into GP

Between numbers 5 and 640 insert as many numbers to form geometric progression so sum of the numbers you entered will be 630. How many numbers you must insert? - Annual pension

Calculate the amount of money generating an annual pension of EUR 1000, payable at the end of the year and for a period of 10 years, shall be inserted into the bank to account with an annual interest rate of 2% - Annual growth

The population has grown from 25,000 to 33,600 in 10 years. Calculate what was the average annual population growth in%? - Crystal

The crystal grows every month 1.2 permille of its mass. For how many months to grow a crystal from weight 177 g to 384 g? - Lion or virgin

We toss coin, every throw fits lion or a virgin with equal probability 1/2. Determine how much at least we have to make throws that with probability 0.9 lion fell at least once.

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