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25.03.2020 •
Mathematics
Exercises
1. POPULATION The population of Bulgaria has been decreasing at an annual
rate of 0.89%. If the population of Bulgaria was about 7,450,349 in the year
2005, predict its population in the year 2015.
2. DEPRECIATION Mr. Gossell is a machinist. He bought some new machinery for about
$125,000. He wants to calculate the value of the machinery over the next 10 years for
tax purposes. If the machinery depreciates at the rate of 15% per year, what is the value
of the machinery to the nearest $100) at the end of 10 years?
3. ARCHAEOLOGY The half-life of a radioactive element is defined as the time that it
takes for one-half a quantity of the element to decay. Radioactive carbon-14 is found in
all living organisms and has a half-life of 5730 years. Consider a living organism with an
original concentration of carbon-14 of 100 grams.
a. If the organism lived 5730 years ago, what is the concentration of carbon-14
today?
b. If the organism lived 11,460 years ago, determine the concentration of carbon-14
today
4. DEPRECIATION A new car costs $32,000. It is expected to depreciate 12% each year
for years and then depreciate 8% each year thereafter. Find the value of the car in
6 years
Glencoe Algebra 1
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Ответ:
If chase won the next 18 matches then he will be able to get a 75% winning record.
Step-by-step explanation:
Let the no. of games chase has to win be 'y'.
He has won 18 matches out of 30.
If he won y matches more he will have a 75% winning record.
To find the percentage we should calculate,
% = (no. Of matches won) x 100/ (total no. of matches)
As the no. of matches won increases, the total no. of matches also increases.
So y should be added to the matches won and also to the total no. of matches played.
[(18+y) /(30+y) ] x 100 = 75%
[(18+y) (100) ] = 75(30+y)
1800 + 100y = 2250 + 75y
100y - 75y = 2250 - 1800
25y = 450
y = 18
So if chase won next 18 matches then he will be able to get a 75%