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Allisa [31]
2 years ago
12

What is the solution to the system of equations graphed below?

Mathematics
1 answer:
N76 [4]2 years ago
5 0
It would be letter B.(3,-4)
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each year francesca earns a salary of 2% higher than her previous years salary. In her first 5 years at this job, she earned a t
Luda [366]

Answer:

$36,027.9

Step-by-step explanation:

Lets say her salary in the first year is s1. So, in the second year her salary will be 2% higher than x, this is, s1 + s1*0.02, so:

s2 = s1 + 0.02s1 = 1.02s1

Then in year 3 it will be s2 plus a 0.02 increase:

s3 = s2 + 0.02s2 = 1.02(s2) = 1.02 (1.02 s1) = 1.02^2(s1)

Then the same for s4: s3 salary plus the increase.

s4 = s3 + 0.02s3 = 1.02(s3) = 1.02 (1.02 s2) = 1.02(1.02*1.02 s1) =1.02^3(s1)

Finally for the 5th monts:

s5 = 1.02(s4) = 1.02^4(s1)

We know that s1+s2+s3+s4+s5 = 187,345

Lets replace all the salaries by its value depending on s1

s1 + 1.02s1 + 1.02^2(s1) + 1.02^3(s1) + 1.02^4(s1) = 187,345

We can add to the first term a s1^0 as it is eqaul to 1

s1 + 1.02s1 + 1.02^2(s1) + 1.02^3(s1) + 1.02^4(s1) = 187,345

Lets get 1s1 out as common factor:

s1 (1 + 1.02^1 + 1.02^2 + 1.02^3 + 1.02^4) = 187,345

s1 *5.20 = 187,345

Divide both sides by 5.20

s1 = 36,027.9

So, her salary in the 1st month was approximately $36,027.9

4 0
2 years ago
Read 2 more answers
Write 7.6x10^8 in decimal form
I am Lyosha [343]

Answer:

Step-by-step explanation:

list of these scientific notations

7.6 x 103

(Scientific Notation)

7.6 x 10^3

(use the caret symbol [^] to type or write)

7.60E+3

(Scientific E-notation)

7600

(Real Number)

5 0
3 years ago
What does the correlation coefficient of -0.975 on a linear regression indicate?
zaharov [31]

A correlation coefficient of -0.975 on a linear regression indicates: D. One variable has a strong relationship with the other.

<h3>What is Correlation Coefficient?</h3>

Correlation coefficient, r, is a measure of how strong the relationship between two variables is.

A correlation coefficient, r, that is closer to 1 or -1 signifies a strong relationship between two variables and vice versa.

Therefore, a correlation coefficient of -0.975 on a linear regression indicates: D. One variable has a strong relationship with the other.

Learn more about strong relationship on:

brainly.com/question/15552860

6 0
2 years ago
Please Help me
ELEN [110]
D because it shows the . of each percentage
6 0
2 years ago
Help me with this math question about how many money he has by the end of the month
elena-s [515]

Answer: $35.65

$48.45 - $13.80 = $34.65

I hope this was helpful :)

8 0
2 years ago
Read 2 more answers
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