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Inga [223]
3 years ago
12

3ln3-ln9 in single logarithmic form

Mathematics
1 answer:
zalisa [80]3 years ago
6 0
Remember
aln(c)=ln(c^a)
and
ln(a)-ln(b)=ln(a/b)

so

3ln3-ln9=
ln(3^3)-ln9=
ln27-ln9=
ln(27/9)=
ln3
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Megan creates a scale drawing of a car. The ratio of her scale drawing length to actual car
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Answer:

Givens

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  • The scale is 3 cm : 2 m.
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First, we need to find the actual length of the car using Megan's ratio.

If 2 centimeters is equivalent to 1 actual meter of the car, 6 centimeters of drawing would be equal to

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Therefore, the car is 4 meters long.

Now, using this information, we can find the length of the scale drawing of Ivan.

I=4m \times \frac{2cm}{1m}=8cm

Therefore, Ivan's drawing is 8 centimeters long.

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Dan invests £18790 into his bank account. He receives 4.9% per year simple interest. How much will Dan have after 3 years? Give
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Answer:

£21552.

Step-by-step explanation:

Given information:

Principal amount = £18790

Rate of simple interest =4.9% = 0.049 per year

Time = 3 years

Formula for simple interest:

I=P\times r\times t

where, P is principal, r is rate of interest and t is time in years.

I=18790\times 0.049\times 3

I=2762.13

Total amount after 3 year is

A=P+I

A=18790+2762.13

A=21552.13

A\approx 21552

Therefore, Dan have £21552 after 3 years.

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If you can draw a vertical line through a graph and touch only one point, the relation is a function.

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