Compound Interest and Solving Exponents

• Exponential growth

• Compound interest

• Exponential decay

• Simple interest

Which of the following statements modeled an exponential growth?

• The cost of pencils as a function of the number of pencils.

• The distance when a stone is dropped as a function of time.

• The distance of a swinging pendulum bob from the center as a function of time.

• The compound interest of the principal amount as a function of time.

Which of the given situations illustrates an exponential function?

• As x increases, the value of y increases.

• The area of a square is s2 where s is the length of the side of a square.

• The distance travelled varies directly as the speed.

• Radioactive material has a half-life of 1500 years.

Which of the following is a real-life application of exponential function?

• Exponential growth

• Compound interest

• Exponential decay

• All of the above

Matt earned $475 from mowing lawns last summer. He deposited this money in an account that pays an interest rate of 3.8% compounded annually (n=1). What will be his balance after 15 year?

• $827.52

• $831.10

• $839.45

• $846.80

Find the balance in the account after the given period.

$5000 deposit earning 1.5% compounded quarterly after 3 years

• $5,229.70

• $7,604.38

• $7,777.27

• $5,538.86

What should be considered in solving an exponential equation?

• Bases on both sides must be the same.

• Exponents on both sides must be the same.

• Bases on both sides must be simplified.

• Exponents on both sides must be simplified.

Given that F = ₱50,000 and P = ₱35,000 how much is the compound interest?

• ₱15, 000

• ₱25,000

• ₱35,000

• ₱45,000

Which of the following best leads to the solution for the exponential inequality 25^x<125^{x-3}?

What is an important step in solving for in any exponential inequality?

• See to it that the exponents are equal.

• Always divide both sides by the common exponent.