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erastovalidia [21]
3 years ago
5

What is the value of the exponent n. Explain which law of exponents supports your answer.

Mathematics
1 answer:
Oduvanchick [21]3 years ago
3 0

Hey there!!

We have:

... 3²· 3ⁿ = 3²⁰

Remember the exponent rule:

When the bases are equal and the terms are multiplied, then we add up the exponent.

mⁿ · mˣ = mˣ⁺ⁿ

Hence, this equation would result as :

... 3²⁺ⁿ = 3²⁰

... 2+n=20

... n=18

Hence, the required answer is 18.

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Answer:

180100

Step-by-step explanation:

Use savings annuity formula

Substitute A(25) = $550,000 , R= 0.03 and N=12 simplify and solve for D.

4 0
3 years ago
The scale on a map is 1 :50000.
mestny [16]

Answer:

The actual area of the field in square kilometers is 30000000 km^2

Step-by-step explanation:

Scale : 1 cm = 50000 km

Area of field on map = 1.2 cm^2

Now , 1 cm = 5000 km

1 cm^2 = (5000 km)^2

We are supposed to find the actual area of the field in square kilometers.

So, the actual area of the field in sq. km =1.2 \times  (5000)^2

Actual area of the field in sq. km =30000000 km^2

Hence the actual area of the field in square kilometers is 30000000 km^2

6 0
3 years ago
The average weight of 4 people is 166 pounds. If three of the people weigh 150 pounds, 200 pounds, and 180 pounds. What is the w
777dan777 [17]

Answer:

Step-by-step explanation:

To find the average of 4 things, we add those four things together and divide by 4.  So, here we need to do the opposite.  Since the last thing we would do to find the average is divide by four, we are going to start there and do the opposite.  The average is 166.  So...

166X4=664

Now instead of adding, we will subtract the three that we know, leaving the fourth.  664-200=464    464-150=314      314-180=134

So the weight of the fourth person is 134 pounds.

7 0
4 years ago
The height of a sunflower increases from 82 cm to 1 metre in a week. Find the percentage increase in height.
vichka [17]
So, the sunflower is increasing from .82 meters to 1 meter.  This is a .18 meter increase. We need to figure out what percent of 82 18 is.  We do this by dividing 18 by 82 and multiply the result by 100 to get a percent.  This equals 21.95%
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3 years ago
You deposit $3000 in an account earning 4% interest compounded continuously. How much will you have in
V125BC [204]

Answer: $3,664.21

Formula: A=Pe^{rt}

  • P = principle/original amount = $3000
  • r = rate of interest = 4% = 0.04
  • t = time period (in years) = 5
  • A = the new amount
  • e = Euler's number ≈ 2.718...

Substitute in the values:

A=(3000)e^{(0.04)(5)} =(3000)e^{0.2} =(3000)(1.2214)=3664.208

<u>Approximately $3,664.21</u>

<em>I think this is how you solve it o_O</em>

7 0
3 years ago
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