Answer:
11 pencils cost £9.35.
Step-by-step explanation:
Given;
7 pencils = £5.95
1 pencil = 5.95 ÷ 7
= £0.85
Now,
11 pencils = 11 × 0.85
= £9.35
Answer: x < 8
Step-by-step explanation:
Answer:
FV= $7,040.46
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $5,500
Number of periods (n)= 5*2= 10 semesters
Interest rate (i)= 0.05/2= 0.025
<u>To calculate the future value (FV), we need to use the following formula:</u>
FV= PV*(1+i)^n
FV= 5,500*(1.025^10)
FV= $7,040.46
Answer:
y = -3x -2.5
slope: -3
y-intercept: -2.5
Step-by-step explanation:
Solve for y.
-4y = 12x + 10 . . . . . add 12x to get the y-term by itself
y = -3x -2.5 . . . . . . .divide by the coefficient of y
__
The slope is the coefficient of x, -3.
The y-intercept is the constant, -2.5.
Use subtitution method to solve the problem.
First, change y to the value of x in order to find the exact value of x.
x + y = 4
y = 4 - x
Second, subtitute y with 4 - x from the first equation
y = -x² + 2x + 4
4 - x = -x² + 2x + 4
move all terms to the left side
x² - 2x - x + 4 - 4 = 0
x² - 3x = 0
x(x - 3) = 0
x = 0 or x = 3
Third, now we have 2 values of x. Find the value of y for each of x
For x = 0
y = 4 - x
y = 4 - 0
y = 4
For x = 3
y = 4 - x
y = 4 - 3
y = 1
The solution is (0,4) and (3,1). The answer is option b
