Estimate the sum of 299 and 388
Answers
For this case we have the following numbers:
299
388
Let's round up each of the numbers to the nearest hundred,
We have then:
299 = 300
388 = 400
We note that now we have two numbers whose approximation is easier to add.
We have then:
300 + 400 = 700
Answer:
The sum of 299 + 388 is approximately:
700
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A number is divided by 5.Then 3 is added to the quotient.After subtracting 10 the result is 30 what is the number
Answers
During year 1, Franklin's sign read "Franklin: Population of 20,000", while Chester's sign read
"Chester: Population of 25,000". Each year, the populations grew. Specifically, Franklin's population grew by
5% each year, and Chester's population grew by 500 people each year.
What is the first year in which Franklin's sign shows a larger number than Chester's sign?
Answers
Answer:
Franklin's population < Chester's population by 4500
Step-by-step explanation:
Franklin: 20000 (1 + 0.05) = 21000 (21000 - 20000 = 1000 grew)
Chester: 25000 + 500 = 25500 (500 increase)
Final answer:
To find the first year in which Franklin's sign shows a larger number than Chester's sign, we set up an equation and solve for the year. The first year is year 6.
Explanation:
To find the first year in which Franklin's sign shows a larger number than Chester's sign, we need to set up an equation and solve for the year. Let's denote the year as 'y'.
Franklin's population can be represented as: 20000 + (20000 * 0.05 * y).
Chester's population can be represented as: 25000 + (500 * y).
Setting up the equation, we have: 20000 + (20000 * 0.05 * y) > 25000 + (500 * y).
Simplifying the equation, we get: 1000 * y > 5000.
Dividing both sides of the equation by 1000, we find that y > 5.
Therefore, the first year in which Franklin's sign shows a larger number than Chester's sign is year 6.
Learn more about Exponential and Linear Growth here:
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Answers
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Explanation:
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16⁽ˣ⁻⁴⁾ = 64⁽³*ˣ⁾ ;
=(4²)⁽ˣ⁻⁴⁾ = (4³)⁽³*ˣ⁾
→ 4^ [2(x-4)] = 4^ [ 3(3x) ] ;
→ 4^ (2x - 8) = 4^ (9x) ;
→ 2x - 8 = 9x ;
Subtract "2x" from each side of the equation:
→ 2x - 8 - 2x = 9x - 2x ;
→ -8 = 7x ;
→ 7x = -8 ;
Divide EACH SIDE of the equation by "7" ;
to isolate "x" on one side of the equation; & to solve for "x" ;
→ 7x / 7 = -8 / 7 ;
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→ x = - 8/7 ; which is: Answer choice: [C]: " -
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So plugging in x = 4, we get:
4² + 2(4)
Simplifying it, we get:
16 + 2(4)
16 + 8
24
When x = 4, x² + 2x will equal 24.
x² + 2x = 24
Substitute x by its value
4² + 2(4)
16 + 8 = 24