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: 11.4
Step-by-step explanation:
Answer:
$32.10
Step-by-step explanation:
The amount to be accumulated in 15 years is the future value of the sinking fund, hence, using the future value formula below, we can determine the required weekly payment as appropriate:
Future value=weekly payment*(1+r)^n-1/r
Future value=$35,000
weekly payment is the unknown
r=weekly interest rate=4.25%/52=0.08173077%
( I use 8 decimal places in order to achieve accuracy)
n=number of weekly payments in 15 years=15*52=780
35000=weekly payment*(1+0.08173077%
)^780-1/0.08173077%
35000=weekly payment*(1.89125311
-1)/0.000817308
35000=weekly payment*0.89125311
/0.000817308
weekly payment=35,000*0.000817308
/0.89125311
weekly payment=$32.10
Answer:
30 2/3 mph
Step-by-step explanation:
Going 46 mph faster for 2 hours, Mary closed a (46 mi/h)×(2 h) = 92 mile gap. That gap was created in 3 hours by Sandy going ...
(92 mi)/(3 h) = 30 2/3 mi/h
Sandy's average speed was 30 2/3 mph.
_____
<em>Comment on the situation</em>
We wonder what sort of road and traffic situation would allow Mary to go 76 2/3 mph in downtown Durham, while Sandy traversed the same route at 30 2/3 mph.
Answer:
slope is 2
Step-by-step explanation:
-11-(-1) =-10
4-9=-5
-10/-5
=2
Slope-2x
