Answer:
26 years of age.
Step-by-step explanation:
The average annual income, I, in dollars, of a lawyer with an age of x years is modeled with with the following function:
I = - 425x² + 45500x - 650000 .......... (1)
If the average annual income of the lawyer at the age of x years is $250000, then from the equation (1) we can write
- 425x² + 45500x - 650000 = 250000
⇒ - 425x² + 45500x - 900000 = 0
⇒ - 17x² + 1820x - 36000 = 0
Now, using the quadratic formula,
years (Approximate)
{We have neglected the other root as we need the youngest age}(Answer)
9514 1404 393
Answer:
2.25
Step-by-step explanation:
Add the square of half the x-coefficient to complete the square.
(-3/2)² = 9/4 = 2.25
Answer:
D) Larry can store more data than Maria because the sum of his hard drive space is 1.28 × 10^6
Step-by-step explanation:
Maria’s hard drive holds 1.0 ×10^6 megabytes of data. Larry has two hard drives, one that holds 5.1 × 10^5 megabytes of data and one that holds 7.7 × 10^5 Which statement is true? A) Maria can store more data than Larry because 10^6 > 10^5 B) Larry can store more data than Maria because 5.1 + 7.7 = 12.8 and 12.8 > 1.0 C) Larry can store more data than Maria because the sum of his hard drive space is 1.28 ×10^5 D) Larry can store more data than Maria because the sum of his hard drive space is 1.28 ×10^6
Given:
Maria’s hard drive stores 1.0 × 10^6 megabytes of data.
Larry has two hard drives,
Hard drive A = 5.1 × 10^5 megabytes of data
Hard drive B = 7.7 × 10^5
Hard drive A = 5.1 × 10^5
Hard drive B = 7.7 × 10^5
Hard drive A + hard drive B
5.1 × 10^5 + 7.7 × 10^5
= 12.8 × 10^5
Making sure Maria's hard drive and Larry's hard drive are in the same standard form
= 1.28 × 10^6
Maria's hard drive can only store 1.0 × 10^6 megabytes of data while Larry's hard drive can store 1.28 × 10^6
Therefore,
D) Larry can store more data than Maria because the sum of his hard drive space is 1.28 × 10^6
Answer:
5h = $150
Step-by-step explanation:
Answer:
slope = 
Step-by-step explanation:
Find the slope of the line using the slope formula, 
. The formula requires two points from the line - and looking at the graph, (1, 10) and (6, 9) are two points the line passes through (but any other points the line also passes through would work fine, too). So, substitute the points' x and y values into the formula and solve:
Therefore, 
is the slope.
