So the slope is 5 and you know the points, (0,4)
y-4=5(x-0)
y-4 = 5x
y = 5x + 4 is the slope intercept form
standard form is: -5x + y = 4 OR y - 5x = 4
Answer:
Bank A
Step-by-step explanation:
We find the Simple Interest for each Bank
Bank A
A savings account at bank A earns 5%
simple interest.
Where
P = $5,000.00
R = 5%
T = 2 years
Compound quarterly = 4
First, convert R percent to r a decimal
r = R/100
r = 5%/100
r = 0.05 per year,
Then, solve our equation for A
A = P(1 + r/n)^nt
A = 5,000.00(1 + 0.0125/4)(4)(2)
A = $ 5,522.43
A = P + I where
P (principal) = $ 5,000.00
I (interest) = $ 522.43
For Bank B
P = $5,000.00
R = 4%
T = 2 years
Compound quarterly = 4
First, convert R percent to r a decimal
r = R/100
r = 4%/100
r = 0.04 per year,
Then, solve our equation for A
A = P(1 + r/n)nt
A = 5,000.00(1 + 0.01/4)(4)(2)
A = $ 5,414.28
A = $ 5,414.28
A = P + I where
P (principal) = $ 5,000.00
I (interest) = $ 414.28
Therefore, the bank that would give Gabriel more interest is Bank A
Answer:
c ≤ -14/17
Step-by-step explanation:
-32c+12 ≤-66c-16
-32c+12-12 ≤-66c-12-12
-32c ≤-66c-28
-32c+66c ≤-66c-28 +66c
34c ≤-28
34c/34 ≤-28/34
Answer: 74 adult tickets were sold on Wednesday.
Step-by-step explanation:
Let x represent the number of child admission tickets sold on Wednesday.
Let y represent the number of adult admission tickets sold on Wednesday.
On Wednesday, 128 tickets were sold. It means that
x + y = 128
At the movie theatre, child admission is $6.40 and adult admission is $9.70. The total ticket sales on Wednesday was $1063.40. It means that
6.4x + 9.7y = 1063.4- - - - - - - - - - 1
Substituting x = 128 - y into equation 1, it becomes
6.4(128 - y) + 9.7y = 1063.4
819.2 - 6.4y + 9.7y = 1063.4
- 6.4y + 9.7y = 1063.4 - 819.2
3.3y = 244.2
y = 244.2/3.3
y = 74
x = 128 - y = 128 - 74
x = 54
Answer:
y = (-2/3)x-3
Step-by-step explanation:
Hello:
equation is the line is : y = ax+b a is a slope
y = (-2/3)x+b
passing through the point (−3;−1) : -1 =(-2/3)(-3)+b so : b = -3
y = (-2/3)x-3
second solution : you can verify (-3 ; -1) in the equation : y = (-2/3)x-3
