The speed of motorboat is 36 kmph and speed of current is 4 kmph.
Step-by-step explanation:
Distance covered in 4 hours = 160 km
Time took on return trip = 5 hours
Let,
x represent the speed of boat.
y represent the speed of current.
Combined speed of boat and current when in same direction = x+y
Speed of boat and current when travelling against = x-y
Distance = Speed * Time
Speed = 
x+y = 
x+y = 40 Eqn 1
x-y = 
x-y = 32 Eqn 2
Adding Eqn 1 and Eqn 2
Dividing both sides by 2
Putting x=36 in Eqn 1
The speed of motorboat is 36 kmph and speed of current is 4 kmph.
Keywords: linear equation, addition
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Answer:
Step-by-step explanation:
The amount needed such that when it comes time for retirement is $2,296,305. This problem solved using the future value of an annuity formula by calculating the sum of a series payment through a specific amount of time. The formula of the future value of an annuity is FV = C*(((1+i)^n - 1)/i), where FV is the future value, C is the payment for each period, n is the period of time, and i is the interest rate. The interest rate used in the calculation is 4.1%/12 and the period of time used in the calculation is 30*12 because the basis of the return is a monthly payment.
FV = $3,250*(((1+(4.1%/12)^(30*12)-1)/(4.1%/12))
Answer:
18.84
Step-by-step explanation:
Circumference = 2πd
where d = diameter
the shape given has a diameter of 6
to find the circumference we simply plug in the value of the diameter as well as π into the formula
formula : C = πd
π = 3.14 and d = 6
C = 3.14(6) = 18.84cm
