# Exponential equation - practice problems

Direction: Solve each problem carefully and show your solution in each item.#### Number of problems found: 133

- A positive

A positive number plus itself squared is 240. What is the number? Please show your work. - The population 4

The population of a city is decreasing at a rate of 2% per year. The population in 2002 was 700,000. What would be the population in 2009? - Interest over time

If certain sum at compound interest becomes double in 5 years, then, in how many years, it will be 16 times at the same rate of interest? - An apple 2

An apple tree was planted two years ago. It increases at the rate of 20% every year .If at present, the height of the tree is 540 cm, what was it when the tree was planted?

- Per annum

At a certain time, a sum becomes 4 times at the rate of 5% per annum. At what rate of simple interest the same sum becomes 8 times in the same duration - The enrolment 2

The enrolment at a school has increased from 1400 learners to 1600 learners over 5 years. What is the percentage increase in enrolment? - 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. - The sum 41

The sum of 640.00 was deposited in the first bank for five years, and the interest given was 160.00. Find the rate. - Exp decay

An element with a mass of 780 grams decays by 16.3% per minute. How much of the element is remaining after 16 minutes, to the nearest 10th of a gram?

- The balance 2

If your balance at the end of 4 years is 50000, at a 5% interest rate, What was your original investment? - Years 3

How long will it take for a given sum of money to triple itself at 20% annual compound interest? - A man 12

A man in his will shared his money geometrically among his six sons, so the eldest son received ; 5,589 and the youngest son received ; 736. (A)How much will the fourth son receive? (B)How much was shared among them - 56.9 divided

56.9 divided by 10 missing exponents = 0.569 - Chelsea

Chelsea Donahue has a 20-year home mortgage of $74000 at 7.50% interest and will pay a $534 annual insurance premium. Her annual property tax will be $1534. Find her monthly PITI payment.

- Granulate 83503

Bathing water should have a pH value in the range of 6.8 - 7.2. How much granulate should we add to increase the pH value from 6.2 to 7 if a dose of 100g/10m³ increases the pH by approx. 0.1? P.S. It's not 800 grams. - 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 - Robinson 82579

Robinson Crusoe came to the island with 4 grains of corn. How many years did it take him to grow enough grain for bread if he got 10 grains from one grain on average and he needed at least 1kg of bole for 1 bread, and 1 grain weighs about 0.2g? (assume on - 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? - Increases 81991

What % of bacteria will increase hourly if the number increases from 100,000 to 370,000 in 5 hours?

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