The account is $4,480 after 3 years with a 4% investment
Answer: Kim can mow the greens alone in 6 hours.
Step-by-step explanation:
Let K be the rate Kim mows the greens, and S the rate for Shayla. The rates K and S will be in greens/hour.
We know they can mow 1 green in 4 hours. We can state this as a sum of their rates times the 4 hours equals one green:
(4 hours)*(K + S) = 1 green
We are told that K = 2S [Kim is twice as fast as Shayla]
Subsititute:
(4 hours)*(K + S) = 1 green
(4 hours)*(2S + S) = 1 green
4*(2S + S) = 1 green
12S = 1 green
Shalya's rate is 1 green/12 hours
Kim is twice as fast: K = 2S
Kim's rate is 1 green/6 hours.
Answer:
y=4, x=8
Step-by-step explanation:
system:
x+y = 12, x=2y
convert to 1 variable, simplify:
2y+y=12
3y=12
y=4
x=2y=4*2=8
Answer:
Angle STR = 78°
Step-by-step explanation:
So, since line QS is a straight line, we know that it's 180°. We also know that angles QTR and STR both add up to 180°. That gives us an equation:
20x + 12 + 10x + 33 = 180
Combine like terms
30x + 45 = 180
Subtract 45 from both sides
30x = 135
Divide both sides by 30
x = 4.5
Now we know the value of x. We just need to plug it into angle STR's given value:
10(4.5) + 33 = angle STR
45 + 33 = angle STR
78° = angle STR
Answer:
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Step-by-step explanation:
Let the number be x.
Dividing both sides by 4,
Subtracting 8 from both sides,
The number is -7.
