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EastWind [94]
3 years ago
5

Upon graduating from college 16 years ago, an office worker took a job with a starting annual salary of $32,500. After each year

of
employment, she has received a raise of 5.5%. Choose the expression that will calculate how many dollars the worker has made in
total in her 16 years on the job?
(32,500)(16) + (0.055)16
(32,500)(16)0.055
32,500,1 -0.05516
1 -0.055
32,50011 - 1.05516
1 - 1.055
Mathematics
2 answers:
Murljashka [212]3 years ago
5 0

Answer:

the answer would be A

Step-by-step explanation:

Anit [1.1K]3 years ago
3 0

Answer:

Step-by-step explanation:

After each year of employment, she has received a raise of 5.5%. It means that the annual salary is increasing in geometric progression. The formula for determining the sum of n terms, Sn of a geometric sequence is expressed as

Sn = (ar^n - 1)/(r - 1)

Where

n represents the number of term in the sequence.

a represents the first term in the sequence.

r represents the common ratio.

From the information given,

a = $32500

r = 1 + 5.5/100 = 1.055

n = 16 years

Therefore, the expression for the the amount that the worker has made in total in her 16 years on the job, S16 is

S16 = (32500 × 1.055^(16) - 1)/1.055 - 1

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find the point-slope equation of the line perpendicular to the line y=2x+5 passing through the point (1,4). (please include solu
pishuonlain [190]
First off, let's keep in mind that perpendicular lines have negative reciprocal slopes, hmmm so what's the slope of y = 2x + 5?

well, notice, that equation is in slope-intercept form, thus   \bf y=\stackrel{slope}{2}x+5.

\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}}
{2\implies \stackrel{slope}{\cfrac{2}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{1}{2}}\qquad \stackrel{negative~reciprocal}{-\cfrac{1}{2}}}

so, we're really looking for the equation of a line whose slope is -1/2 and runs through 1,4.

\bf (\stackrel{x_1}{1}~,~\stackrel{y_1}{4})\qquad \qquad \qquad 
slope =  m\implies -\cfrac{1}{2}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-4=-\cfrac{1}{2}(x-1)
7 0
3 years ago
8(5-32) equal to and explain <br> please help
Gre4nikov [31]
You would use order of operations: PEMDAS
P(parenthesis) E(exponents) MD(multiplication/division) AS(addition/subtraction)
with MD and AS order doesnt matter.
8(5-32) you would start with inside the Parenthesis for "P" so (5-32)=(-27)
next you would go to the E but because you dont have an exponent you go to the next step with is the "MD" you have multiplication so next would be 8(-27) and 8 multiplied by -27 is: 8(-27)= -216
ANSWER: -216
4 0
3 years ago
Read 2 more answers
1. Given the below sequence: -1, -3, -5, -7, . . . (a) What are the next 3 terms? (b) Is this an arithmetic or geometric sequenc
valentinak56 [21]

Answer:

(a) -7 , - 9 , - 11

(b) Arithmetic sequence

(c) There is a common difference of -2

(d) -53

Step-by-step explanation:

(a) To find the next three terms , we must firs check if it is arithmetic sequence or a geometric sequence . For it to be an arithmetic sequence , there must be a common difference :

check :

-3 - (-1) = -5 - (-3) = -7 - (-5)  = -2

This means that there is a common difference of -2 , which means it is an arithmetic sequence.

The next 3 terms we are to find are: 5th term , 6th term and 7th term.

t_{5} = a + 4d

t_{5} = - 1 + 4 ( -2 )

t_{5} = -1 - 8

t_{5} = - 9

6th term = a +5d

t_{6} = -1 + 5(-2)

t_{6} = -1 - 10

t_{6} = - 11

t_{7} = a + 6d

t_{7} = -1 + 6 (-2)

t_{7} = -1 - 12

t_{7} = -13

Therefore : the next 3 terms are : -9 , -11 , - 13

(b) it is an arithmetic sequence because there is a common difference which is -2

(c) Because of the existence of common difference

(d) t_{27} = a + 26d

t_{27} = -1 + 26 ( -2 )

t_{27} = -1 - 52

t_{27} = - 53

5 0
3 years ago
What is the value of side b?<br> A 20<br> B 15<br> C 10<br> D 5
Pavel [41]
I am not able to see the picture
3 0
2 years ago
Read 2 more answers
Find the value of the variable What is x?
yaroslaw [1]

Answer:

x = 7

Step-by-step explanation:

I think there may be other ways to do this ... but this is one I  guess....

one angle= 90 ( given)

the other = 45 (given)

the third = 90 + 45 + a = 180  

(all angles of triangles is 180 [angle sum property])

                a = 180 - 135

                   = 45

The base angles are equal so that means it is a isoscles triangle. In isoscles triangle, two sides are equal ,  so

if one side is 7

the x is 7 too

(as it cant be the hypothenus)

I think this is right

5 0
3 years ago
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