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Shkiper50 [21]
3 years ago
10

Select the graph of the solution set that would represent the following expression. 2 ( x + 1 ) > 3 x − 2

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
4 0
The answer is b..........
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ITEM
Hoochie [10]

Answer:

1,449

Step-by-step explanation:

8 0
3 years ago
117. Sami opens an account and deposits $100 into it at the end of each month. The account earns 2% per year compounded monthly.
Sergio [31]

Answer:

The explicit function is:

S_{n} =Pz^{n-1} +C(\frac{z^{n-1}-1}{z-1} )

where

z=(1+\frac{0.02}{12})

and we calculate S12:

S_{12} = $1211.06

Step-by-step explanation:

Expanding a few steps of the compound interest:

S_{1}=100\\S_{2}=S_{1}(1+\frac{0.02}{12})+100\\S_{3}=S_{2}(1+\frac{0.02}{12})+100\\...\\S_{n}=S_{n-1}(1+\frac{0.02}{12})+100

We can write:

(1+\frac{0.02}{12})=z

100=C for deposits

Then, expanding the previous equations would yield:

S_{1}=C\\S_{2}=Cz + C\\S_{3}=Cz^{2}+Cz + C\\S_{n}=Cz^{n-1} +...+Cz+C

This is a geometric series form, which can be simplified to:

S_{n}=C(\frac{z^{n}-1}{z-1} )

plugin in the values for the 12 month gives:

S_{12}=100(\frac{(1+\frac{0.02}{12})^{12} -1}{\frac{0.02}{12}})=1211.0613

6 0
3 years ago
On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The numb
Komok [63]

Option 1. The equation that represents the direct variation that exists between a and b is b = –a.

<h3>How to find the direct variation here</h3>

The direct variation is of this form y ∝ x

This gives the equation

y = kx

The constant is k

From our question we have

b ∝ a so b = ka

b = 2\frac{3}{4}

a = -2\frac{3}{4}

Remember that b = ka

2\frac{3}{4}  = -2\frac{3}{4} k

This would cancel out to

1 = -k

or k = -1

Hence the equation would be written as

b = -a

Read more on direct variation here:

brainly.com/question/9983911

#SPJ1

3 0
2 years ago
Cathy is planning to take the Certified Public Accountant Examination (CPA exam). Records kept by the college of business from w
denpristay [2]

Answer:

The responses to these question can be defined as follows:

Step-by-step explanation:

For point a:

\to P(1) = 0.73

For point b:

\to P(2\ or\ 3) = P(2) + P(3)

                    = 0.27 \times 0.73 + 0.27\times 0.27\times0.73\\\\=0.1971+0.1971\times 0.27\\\\=0.1971+0.053217\\\\=0.250317

3 0
3 years ago
How many minutes are in 17 years​
kenny6666 [7]

Answer:

Step-by-step explanation:  

8.935e+6

4 0
4 years ago
Read 2 more answers
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