Answer:
1872 in
Step-by-step explanation:
156 ft x 1ft = 156ft cause if you multiply 1 with any number its what ever number you multiplied 1 with.
Answer:
<u>The salary during the 16th year will be US$ 62,318.70</u>
Step-by-step explanation:
Starting salary = US$ 40,000
Duration of the job contract = 15 years
Salary increase rate = 3% compounded annually
2. Let's find the future value of this starting salary after 15 years, using the following formula:
FV = PV * (1 + r) ⁿ
PV = Starting salary = US$ 40,000
number of periods (n) = 15 (15 years compounded annually)
Salary increase rate (r) = 3% = 0.03
Replacing with the real values, we have:
FV = 40,000 * (1 + 0.03) ¹⁵
FV = 40,000 * (1.03) ¹⁵
FV = 40,000 * 1.558
FV = US$ 62,318.70
<u>The salary during the 16th year will be US$ 62,318.70</u>
Answer:
The inequality represented by the graph is y > x - 3
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
- m is the slope of the line
The rule of the slope is m = , where
- (x1, y1) and (x2, y2) are two points on the line
<em>To find the inequality represented by the graph, find at first the equation of the line</em>
∵ The line passes through points (0, -3) and (3, -2)
∴ x1 = 0 and y1 = -3
∴ x2 = 3 and y2 = -2
→ Substitute them in the rule of the slope above to find it
∵ m = = =
∴ m =
→ Substitute it in the form of the equation above
∴ y = x + b
∵ b is the y-intercept ⇒ value y at x = 0
∵ y = -3 at x = 0
∴ b = -3
→ Substitute it in the equation
∴ y = x + -3
∴ y = x - 3
→ Let us change it to inequality
∵ The line is dashed
∵ The shading area is above the line
∴ The sign of inequality should be >
∴ y > x - 3
∴ The inequality represented by the graph is y > x - 3
1: y=8, (-2,8)
2: y=6, (-1,6)
3: y=0, (2,0)
Step-by-step explanation:
Insert the x value into each equation then see what value of y that you need to get 4 on the right hand side of the equation.
The answer is option c (-1,0)
Solving the equation you get that the zeros of this are approximately
x ≈ -2.8019
x ≈ -1.4450
x ≈ 0.24698
Then the function has three real roots, but none of them is within the range (-1,0)
Below is a graph of the function.