K = Kevin's age
D = Daniel's age
K = 3D
K - 4 = 5(D - 4)
Plug in 3D for the K values in the second equation.
3D - 4 = 5(D - 4) Use the Distributive Property
3D - 4 = 5D - 20 Add 4 to both sides
3D = 5D - 16 Subtract 5D from both sides
-2D = -16 Divide both sides by -2
D = 8
Now, plug that D value into the original equation.
K = 3D Plug in the D value
K = 3(8) Multiply
K = 24
Finally, you can double check your math.
4 years ago, Daniel would've been 4 and Kevin would be 20, so Kevin would've been 5 times as old as Daniel. And 8 x 3 = 24.
So, Kevin is 24.
Answer:
- The first option: $265.05
Step-by-step explanation:
<h3>Option 1</h3>
<u>Payment as sequence:</u>
<u>This is an AP with:</u>
- The first term a = 11.75
- Common difference d = 0.35
- Number of terms n = 18
<u>Find the sum of the first 18 terms:</u>
- S₁₈ = (a + a₁₈)*18/2 = (a + a + 17d)*9 = (11.75*2 + 17*0.35)*9 = $265.05
<h3>Option 2</h3>
Flat rate $14.50 per hour
<u>The sum is:</u>
<u>Compared, we see the first option pays more:</u>
Answer:
78.54 so B
Step-by-step explanation:
Answer:

Step-by-step explanation:
Use implicit differentiation:

Remember to treat "y" as a constant in implicit differentiation and include dy/dx.
Answer:
104 degrees
Step-by-step explanation:
71 degrees is one corner
Opposite corner is equal
Middle angle: 180-71-71 = 38
isosceles triangle bottom angle = 38 and 38
top angle = 180 - 38 - 38 = 104 degrees