Answer:
the slope that is perpendicular to line y=-7x-12 is 1/7
1/7 is the perpendicular slope
Step-by-step explanation:
Answer:
The rate of change or slope m = -50
Step-by-step explanation:
The slope-intercept form of the line equation
where
- m is the rate of change or slope
Given that there is $500 in Holly's bank account.
Thus, the y-intercept b = 500
It is stated that she takes out $50 from her account each month but doesn't put money back in.
It means the rate of change or slope is decreasing.
Thus, the rate of change or slope m = -50
<u>EXTRA BONUS!</u>
We can also determine the line equation by substituting m = -50 and b = 500 in the slope-intercept form
y = -50x + 500
Here:
The slope m = -50
The y-intercept = 500
Answer: See explanation
Step-by-step explanation:
a. The deposit
= 15% × $2975
= 15/100 × $2975
= 0.15 × $2975
= $446.25
b. The hire purchase price
Outstanding balance = $2975 - $446.25 = $2528.75
20% of outstanding balance
= 20% × $2528.75
= 0.2 × $2528.75
= $505.75
Hire purchase price
= $2975 + $505.75
= $3480.75
c. The difference the hire purchase price and cash price
= $3480.75 - $2975
= $505.75
d. The difference as a percentage of the cash price.
= ($505.75 / $2975) × 100
= 0.17 × 100
= 17%
Answer:
Step-by-step explanation:
7(b² - 2b - 8) = 0
7(b² - 2b + ) = 8
7(b² - 2b + 1) = 8 + 1
7(b - 1)² = 9
(b - 1)² = 9/7
b - 1 = ±√(9/7)
b = 1 ±3√(1/7)
b ≈ -0.134, 2.134
m² + 10m + 14 = -7
m² + 10m + = -7 - 14
m² + 10m + 25 = -7 - 14 + 25
(m + 5)² = 4
m + 5 = 2
m = -3
p² - 8p + 21 = 6
p² - 8p + = 6 -21
p² - 8p + 16 = 6 -21 + 16
(p - 4)² = 1
p - 4 = 1
p = 5
