Answer:
y=
Step-by-step explanation:
Perpendicular lines have negative reciprocal gradients(slopes) so the slope of your new line would be 1/2. Then you use the point to find the new y-intercept
y=mx+b
2=
(8)+b
2=4+b
B=-2
y=
Answer:
There will be $22,800 left after 6 years
Step-by-step explanation:
4% every year after 6 years = 24% be taken out of 30,000
24% of 30,000 = 7200 so you'll have 22,800 left.
Answer:
The jeweler made 9 necklaces.
The jeweler made 8 bracelets.
Step-by-step explanation:
x = number of bracelets
y = number of necklaces
17 = x + y
238 = 5x + 22y
Make one of the coefficients, x, the same.
17 = x + y
Multiply this equation by 5.
85 = 5x + 5y
Subtract the equations to get rid of x.
(238 = 5x + 22y) - (85 = 5x + 5y)
(5x - 5x) + (22y - 5y) = 238 - 85
22y - 5y = 238 - 85
17y = 153
y = 153/17 = 9
The jeweler made 9 necklaces. Substitute this back into one of the equations to find x.
17 = x + y
17 = x + 9
17 - 9 = x
x = 8
238 = 5x + 22y
238 = 5x + 22(9)
238 = 5x + 198
238 - 198 = 5x
40 = 5x
x = 40/5
x = 8
The jeweler made 8 bracelets.
The mode is whichever one has the most so the mode would be 7. And the range is the highest number to the lowest. So 9-4 which is 5