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Ymorist [56]
3 years ago
7

To transport 228 people to an island island ferry make six different trips on each trip the ferry carries the same number of peo

ple how many people does the ferry transport on each trip
Mathematics
2 answers:
fredd [130]3 years ago
7 0

Answer:

38 people

Step-by-step explanation:

Given: To transport 228 people to an island island ferry make six different trips on each trip the ferry carries the same number of people.

To Find: how many people does the ferry transport on each trip.

Solution:

Total number of people to be transported =228

Total number of trips made by island ferry =6

As ferry carries same number of people in each trip

number of people ferry transport in each ferry =\frac{\text{total number of people to be transported}}{\text{total number of ferries}}

putting values,

                     =\frac{228}{6}

                     38

Hence number of people ferry transport in each island ferry is 38.

Tju [1.3M]3 years ago
3 0
240 I calculated it your welcome :)
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Lelu [443]

Part 1) Finding the inverse

Let x = r and y = H(r)

We have the equation y = 6240(1 + x/100)^t which is the same as saying y = 6240(1 + 0.01x)^t since 1/100 = 0.01

From here, swap x and y to get the equation x = 6240(1+0.01y)^t

Let's solve for y

x = 6240(1+0.01y)^t

6240(1+0.01y)^t = x

(1+0.01y)^t = x/6240

1+0.01y = (x/6240)^(1/t)

0.01y = (x/6240)^(1/t)-1

100*0.01y = 100*((x/6240)^(1/t)-1)

y = 100*((x/6240)^(1/t)-1)

y = 100*(x/6240)^(1/t) - 100

This becomes r = 100*(H/6240)^(1/t) - 100 after we replace y with r and x with H. Note the r and H swapped places, just like x and y did. Earlier we had H isolated on the left, but now r is isolated on the left.

We could write r(H) = 100*(H/6240)^(1/t) - 100 to mean the same thing.

So what exactly does this inverse function do? Well the original function tells us the number of households for any given growth rate, which is r.

The inverse function swaps things around to allow us to find the growth rate if we know how many households there are. We're working backwards. In both cases, t is held to some constant fixed value.

===========================================================

Part 2) Finding the growth rate if the number of households is 7800 after 3 years.

We're going to plug in H = 7800 and t = 3 into the inverse function we found to determine the value of r, or r(H)

r(H) = 100*(H/6240)^(1/t) - 100

r(7800) = 100*(7800/6240)^(1/3) - 100

r(7800) = 7.72173450159419

You'll need your calculator to get this approximate value. After rounding to two decimal places, we get r(7800) = 7.72

Since r = 7.72, this means the growth rate is 7.72%

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