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dybincka [34]
3 years ago
5

Find the rate of increase: Original amount: $2000 Final amount: $3000

Mathematics
2 answers:
bogdanovich [222]3 years ago
8 0

Answer:

67%

Step-by-step explanation:

the original amount had to increase by 67% in order to equal the final about simply by dividing 2000 by 3000 getting 2/3 which is 0.666667 then multiplying by 100 to get a rate

Genrish500 [490]3 years ago
3 0

Answer:

21

Step-by-step explanation:

You might be interested in
Please answer this what is the answer to this question now
Tanya [424]

Answer:

19

Step-by-step explanation:

M is the center of the triangle, means that MR=MQ=PM

and M is the in center of the triangle=MS=MT=MU=19

8 0
3 years ago
A pole-vaulter uses a 15-foot-long pile. She grips the pole so that the segment below her left hand is twice the length of the s
Shalnov [3]
Let x + 1.5 be length of segment above left hand
Let 2x be length of segment below left hand

15 = x + 1.5 + 2x
15 = 3x + 1.5
15 - 1.5 = 3x
13.5 = 3x
13.5/3= 3x/3 
4.5 = x
x = 4.5
This is the length above the left hand. 

2x must be then 4.5*2 = 9 foot
This is the length below the left hand. 

Checking
4.5 + 9 + 1.5 = 15 foot 

Adding length below left hand & length of left hand to right hand:
9 + 1.5 = 10.5
The right hand is hence 10.5 foot far up the pole.
6 0
3 years ago
Represent the geometric series using the explicit formula. 3, −6, 12, −24, … f(n) = 3 ⋅ (2)(n−1) f(n) = 3 ⋅ (−2)(n−1) f(n) = f(n
mr Goodwill [35]

Answer:

f(n)=(-2)(n-1)

Step-by-step explanation:

Each term of this Geometric Series (3, −6, 12, −24, ...) can also be found through this explicit formula: f(n)=(-2)(n-1) Because the n^{th} term is found by the product of its common ratio "q", times its predecessor n-1. Where n, refers to the order of the term.

So let's test it, suppose we want to find the 4th term. We know the common ratio and the first term. Then we can write f(n) as:

\\f(n)=3(-2)^{n-1}

f(4)=f(3)*-2⇒-24=12*-2⇒-24=-24

The explicit formula is ok.

3 0
3 years ago
Solve 0.09 divided by 0.3
Cloud [144]

Answer:

0.3.

Step-by-step explanation:

0.3|0.09

move the decimal over once on both sides.

03|.9

     3

03.|.9

   -   9

 _______

        0

4 0
3 years ago
Solve by elimination:
Pie

Answer:

B (5, 13)

Step-by-step explanation:

9x + 4y = 97

9x + 6y = 123

To solve by elimination, we want to <em>eliminate</em> a variable. To do this, we must make one variable cancel out.

First, we can see that both equations have 9x. To cancel out x, we must make <em>one</em> of the 9x's <em>negative</em>. To do this, multiply <em>each term</em> in the equation by -1.

-1(9x + 6y = 123)

-9x - 6y = -123

This is one of your equations. Set it up with your other given equation.

9x + 4y = 97

-9x - 6y = -123

Imagine this is one equation. Since every term is negative, you will be subtracting each term.

9x + 4y = 97

-9x - 6y = -123

___________

0x -2y = -26

-2y = -26

To isolate y further, divide both sides by -2.

y = 13

Now, to find x, plug y back into one of the original equations.

9x + 4(13) = 97

Multiply.

9x + 52 = 97

Subtract.

9x = 45

Divide.

x = 5

Check your answer by plugging both variables into the equation you have not used yet.

-9(5) - 6(13) = -123

-45 - 78 = -123

-123 = -123

Your answer is correct!

(5, 13)

Hope this helps!

6 0
3 years ago
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