The population of Austinburg on January 1, 2000 was 1.4 million. the population has decreased at a rate of 12% each year since.
1 answer:
Answer:
Step-by-step explanation:
The exponential equation to show decay in population :
(i) , where P= population after t years,
= initial population, r =rate of decay.
Given: The population of Austinburg on January 1, 2000 :
r= 12%= 0.12
Put theses values in (i), we get
, which gives the population (in millions), p, of Austinburg t years after January 1, 2000.
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Given:
Total amount = $10
Cost of loaf of bread = $3.25
Cost of cheese = $5.99 per pound
Each slice weights = 0.04 pounds.
To find:
The inequality for the number of slices that Paul can afford to buy.
Solution:
Let x be the number of slices that Paul can afford to buy.
Weight of on slice is 0.04 pounds. So, weight of x slices is 0.04x pound.
Cost of cheese = $5.99 per pound
So, total cost of cheese for x slices = $5.99 × 0.04x
Now, Paul has $10 to buy bread and cheese for sandwiches. Cost of loaf of bread is $3.25.
Divide both sides by 0.2396.
The maximum integer value of x is 28.
Therefore, the required inequity is and 28 number of slices Paul can afford to buy.
Equation to find number's value:
Number's value: n = 35
Explanation:
Let n be the unknown number for this problem.
One fifth of a number is the same as .
Three times the number is the same as 3n.
Twice the number plus 42 is the same as 2n + 42.
So, using the information we've gathered so far, we can create the equation that will provide us with n's value.
Equation:
We can use this equation to find n's value.
You can subtract 2n from both sides to get the equation , which is the same thing as the equation we were using.
Now add n and together to get
.
After you do this, your equation should look like .
Now divide both sides by to get n's value.
n = 35
Answer:
(a) Neither
(a) Perpemdicular
Step-by-step explanation:
Required
Determine the relationship between given lines
(a)
and
An equation written in form: has the slope:
So, in both equations:
For both lines to be parallel
This is false in this case, because:
For both lines to be perpendicular
This is false in this case, because:
(b)
and
Write equations in form:
Divide by 5
Divide by 2
In both equations:
For both lines to be parallel
This is false in this case, because:
For both lines to be perpendicular
This is true in this case, because:
Cancel out 2 and 5