Additional Growth-related Problems

( 1) 70 is ________ times 7000.
( 2) What is 3 times 6?
( 3) 6 times what is 3?
( 4) What times 3 is 6?

( 5) What is 1.7% of 3000?
( 6) What percent of 800 is 0.8?
( 7) 400% of what is 36?
( 8) 7.50 is what percent of 3?
( 9) 1.08 is 9% of what?
(10) What percent of 0.7 is 0.21?
(11) 80% of what is 64?
(12) 160% of 300 is what?
(13) 75 is what % of 400?
(14) What is 0.25% of 2800?
(15) 85 is what percent of 50?
(16) 0.7% of 4 is what?

(17) The keyword for this unit is ________.
(18) The price of coffee beans went from $7.50 to $9.00 per pound.
The price of coffee beans increased ________%.
The new price of coffee beans is ________ times the old price.
(19) The weight of a Featherlite bicycle went from 20 pounds to 17 pounds.
The weight of the bicycle is ________% lower than before.
The new weight of the bicycle is ________% of the old weight.
(20) The price of a guitar went from $700 to $280.
The new price of the guitar is ________ times the original price.
You pay ________% of the original price.
You save ________% of the original price.
(21) If an amount goes up 3%, the new amount will be ________ times the old amount.
(22) If an amount goes up 30%, the new amount will be ________ times the old amount.
(23) If an amount goes up 300%, the new amount will be ________ times the old amount.
(24) If an amount drops 3%, the new amount will be ________ times the old amount.
(25) If an amount drops 30%, the new amount will be ________ times the old amount.
(26) Multiplying a number by 0.2 is the same as decreasing the number ________%.
(27) Multiplying a number by 1.2 is the same as increasing the number ________%.
(28) Multiplying a number by 2.0 is the same as increasing the number ________%.
(29) Multiplying a number by 0.6875 is the same as ________ the number ________%.
(30) Multiplying a number by 27.5 is the same as ________ the number ________%.
(31) If you want to raise a price 9% in one step, just multiply it by ________.
(32) If you want to lower a price 90% in one step, just multiply it by ________.

(33) If the price of a shirt (not including sales tax) is $17, how much will the shirt cost with 1.8% sales tax?
(34) Suppose the sales tax rate is 2.9%.
If you paid $874.60 (including sales tax) for a pool table, what was the price of the pool table (before tax)?
(35) Applying a 32% mark-up followed by a 45% mark-up has the same effect as a ________% mark-up.
(36) The net result of following a 50% discount by another 50% discount is a ________% discount.
(37) The net result of following a 50% increase by another 50% increase is a ________% increase.
(38) The net result of following an 80% mark-up by a 36% discount is a ________% ________.
(39) A 25% mark-up followed by a 25% discount does not bring a price back to its original value.
What percent discount would "cancel out" a 25% mark-up?
(40) What percent discount would "cancel out" a 70% mark-up?

(41) Suppose that Photonics, Inc. stock has gone through the following price changes over the past years:
+3%, -14%, +15%, +92%, +65%, +35%, -89%, +79%, +32%, +38%, +46%
What is the net change in price?
(42) Suppose the population of Urgency has been going down 2% every year.
If the population of Urgency 42 years ago was 5000, what is the population today?
(43) Suppose the population of Vitality has been going up 2.7% every year.
If the population of Vitality 43 years ago was 5000, what is the population today?
(44) Suppose you put $2000 into a savings account that earns 3.5% annual interest.
How much will be in the account after 11 years?
(45) Suppose you put $5000 into an account that grows 9% annually, compounded monthly.
What will be the future value in 12 years?
(46) Suppose you put $21,000 into an account at 7% annual interest, compounded quarterly.
What will be the FV in 17 years?
(47) Suppose you have an account that earns 8.33% annual interest.
How much would you have to put into the account now so that you will have $47,000 in 18 years?
(48) Suppose you have an account that earns 7.2% annual interest, compounded quarterly.
How much would you have to put into the account now so that you will have $32,000 in 19 years?
(49) Suppose you have an account that earns 4.7% annual interest, compounded monthly.
How much would you have to put into the account now so that you will have $7000 in 20 years?
(50) Suppose carbon-14 decays so that it loses 0.012% of its weight every year.
If 3 oz. of carbon-14 in a fossil started to decay 5000 years ago, how much should it weigh today?
(51*) If the carbon-14 in an object should have weighed 21 grams when it started to decay,
and weighs 17 grams today, about how old is the object?