Answer: The graph is attached.
Step-by-step explanation:
1. Solve for y, as following:
2. The equation of the line in slope intercept form is:
Where m is the slope and b is the y-intercept.
3. In this case the equation of the line is:
then:
4. Find the x-intercept. Make y=0. Then:
5. Then, plot the line that passes through the points (0,7) and (4.9, 0).
6. The symbol of the inequality is < therefore, the line must be dashed and indicates that the region under the line must be shaded.
Then you obtain the graph attached.
Answer:
7000
Step-by-step explanation:
This is because when you round to the significant figure, you basically look at any digits at the start of the number, which isn't zero. In this case, it would be in the thousands place 7284. So you round 7284 to the nearest thousands, which, would be 7000
The answer can be readily calculated using a single variable, x:
Let x = the amount being invested at an annual rate of 10%
Let (8000 - x) = the amount being invested at an annual rate of 12%
The problem is then stated as:
(x * 0.10) + ((8000 - x) * 0.12) = 900
0.10(x) + ((8000 * 0.12) - 0.12(x)) = 900
0.10(x) + 960 - 0.12(x) = 900
0.10(x) - 0.12(x) = 900 - 960
-0.02(x) = -60
-0.02(x) * -100/2 = -60 * -100/2
x = 6000 / 2
x = 3000
Thus, $3,000 is invested at 10% = $300 annually; and $8,000 - $3,000 = $5,000 invested at 12% = $600 annually, which sum to $900 annual investment.
Answer: 11
Step-by-step explanation:
2 3/4 × 8 = p/4 × 8/1
Let p be the missing number
Convert the mixed fraction 2 3/4 to proper fraction, multiply 4 x 2, then add 3= 11/4
11/4 × 8 = p/4 ×8
p= 11
I hope this helps.
