Answer: 10:55
Step-by-step explanation:
Taking statement at face value and the simplest scenario that commencing from 08:00am the buses take a route from depot that returns bus A to depot at 25min intervals while Bus B returns at 35min intervals.
The time the buses will be back at the depot simultaneously will be when:
N(a) * 25mins = N(b) * 35mins
Therefore, when N(b) * 35 is divisible by 25 where N(a) and N(b) are integers.
Multiples of 25 (Bus A) = 25, 50, 75, 100, 125, 150, 175, 200 etc
Multiples of 35 (Bus B) = 35, 70, 105, 140, 175, 210, 245 etc
This shows that after 7 circuits by BUS A and 5 circuits by Bus B, there will be an equal number which is 175 minutes.
So both buses are next at Depot together after 175minutes (2hr 55min) on the clock that is
at 08:00 + 2:55 = 10:55
Answer:
17
Step-by-step explanation:
n = 17
n - 7 = 10
Carry over the - 7
n = 7 + 10
n = 17
Answer:
the future value is $5800.38
Step-by-step explanation:
Given that
The invested amount i.e present value is $500
The rate is 5 % per year so quarterly rate is 5% ÷ 4 = 1.25%
The time period is 3 per year so for quartely it is 3 × 4 = 12
We need to find out the future value
So as we know that
Future value = Present value × (1 + rate of interest)^time
= $500 × (1 + 0.0125)^12
= $580.38
hence, the future value is $5800.38
Answer:
148.12m²
Step-by-step explanation:
At first, lets find the area of rectangle.
length = 14m
breadth = 6m
Area of rectangle = length x breadth
= 14 x 6
= 84m²
Now, For the area of sector of the circle,
Given angle (a) = 34
radius = 14m
Area of the sector = a / 360 x pi x r²
= 34/360 x 3.14 x 14²
= 34 / 360 x 3.14 x 196
= 58.12m²
Now adding both areas,
84 + 58.12 = 142.12m²
Answer:
y=-4-3x
Step-by-step explanation:
y = -3x - 4
y = -3x + (-4)
y = -4 + 3x
y = -4 - 3x
