Answer:
Yes, it is possible for Suri and Juan to make the same amount of wages if they both work 25 hours in one week.
Step-by-step explanation:
Let x = number of hours worked
Let y = total wages earned
Suri: 15x + 25 = y
Juan: 14x + 50 = y
Equate equations and solve for x:
15x + 25 = 14x + 50
Subtract 14x from both sides: x + 25 = 50
Subtract 25 from both sides: x = 25
Yes, it is possible for Suri and Juan to make the same amount of wages if they both work 25 hours in one week.
Answer:
2x+1
Step-by-step explanation:
Answers:
- Vertex form: y = -2(x-1)^2 + 8
- Standard form: y = -2x^2 + 4x + 6
Pick whichever form you prefer.
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Explanation:
The vertex is the highest point in this case, which is located at (1,8).
In general, the vertex is (h,k). So we have h = 1 and k = 8.
One root of this parabola is (-1,0). So we'll plug x = -1 and y = 0 in as well. As an alternative, you can go for (x,y) = (3,0) instead.
Plug those four values mentioned into the equation below. Solve for 'a'.
y = a(x-h)^2 + k
0 = a(-1-1)^2+8
0 = a(-2)^2+8
0 = 4a+8
4a+8 = 0
4a = -8
a = -8/4
a = -2
The vertex form of this parabola is y = -2(x-1)^2+8
Expanding that out gets us the following
y = -2(x-1)^2+8
y = -2(x^2-2x+1)+8
y = -2x^2+4x-2+8
y = -2x^2+4x+6 .... equation in standard form
Answer:
b=3, y=6
Step-by-step explanation:
Label the 2 equations:
2b +6y= 42 -----(1)
2b +4y= 30 -----(2)
(1) -(2):
(2b +6y) -(2b +4y)= 42 -30
2b +6y -2b -4y= 12
2y= 12
y= 12 ÷2 <em>(</em><em>÷</em><em>2</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
y= 6
Susbt. y=6 into (2):
2b +4(6)= 30
2b +24=30
2b= 30 -24 <em>(</em><em>-24</em><em> </em><em>on</em><em> </em><em>b</em><em>o</em><em>t</em><em>h</em><em> </em><em>sides</em><em>)</em>
2b= 6
b= 6 ÷2
b= 3
Answer:
$360
Step-by-step explanation:
Given
Amount borrowed P = $4500 (principal)
Time T = 2 years
Rate R = 4
Simple interest formula is expressed as;
SI = PRT/100
Substitute the given parameters into the formula
SI = 4500×2×4/100
SI = 45×2×4
SI = 45×8
SI = $360
The amount of interest he will have to pay is $360