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igor_vitrenko [27]
3 years ago
5

How do I find the scale of the dilation A(3,4),A’(9,12)

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
3 0
Since A (3,4) A’(9,12)
You can see 3*3=9
Therefor it was enlarged by 3times
Scale factor of 3
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Answer:

It will take an interest rate of 8.1% to get 150% of the initial investment in just 5 years.

Step-by-step explanation:

Use the formula for continuous compounding

X(t) = Pe^{rt}

where r stands for the (annual) interest rate, t for time in years, P for the initial principal (investment) and X is the amount after t years.

(this formula can be beautifully derived from just basic considerations, btw)

We are given t=5, and percent increase on the initial P, so we can solve for r

X(5) = 1.5P=Pe^{r\cdot5}\\1.5=e^{r\cdot5}\\\ln 1.5=\ln e ^{5r}\\\ln 1.5=5r\\r = \frac{\ln 1.5}{5}=0.081\rightarrow 8.1\%

It will take an interest rate of 8.1% to get 150% of the initial investment in just 5 years.

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Answer:

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Step-by-step explanation:

From the information provided, you can write the following equations:

x+y=11 (1)

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x is the number of coach tickets

y is the number of first class tickets

In order to find the value of x and y, first you have to solve for x in (1):

x=11-y (3)

Now, you have to replace (3) in (2) and solve for y:

240(11-y)+1100y=6080

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