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astra-53 [7]
3 years ago
5

Mary earns $7.25 an hour. She can determine her salary, s, for the number of hours she works, h, by using the equation s = 7.25h

. What best describes why this is a proportional relationship?
Mathematics
1 answer:
Alex3 years ago
7 0

Answer:

see the explanation below

Step-by-step explanation:

Given data

We are given that her salary is determined by the function

s= 7.25h

the relationship between h and s is a proportional relationship because

when h increases the value of s also increases and vice versa

check

for h= 2

s= 7.25(2)

s= 14.5

for h= 1.5

s= 7.25(1.5)

s= 10.875

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Find the sum of a finite geometric sequence from n = 1 to n = 7, using the expression −4(6)n − 1.
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Answer:

<h2>-223,948</h2>

Step-by-step explanation:

The formula of a sum of terms of a gometric sequence:

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Calculate the common ratio:

r=\dfrac{a_{n+1}}{a_n}\\\\a_{n+1}=-4(6)^{n+1-1}=-4(6)^n\\\\r=\dfrac{-4(6)^n}{-4(6)^{n-1}}=6^n:6^{n-1}\\\\\text{use}\ a^n:a^m=a^{n-m}\\\\r=6^{n-(n-1)}=6^{n-n+1}=6^1=6

\text{Substitute}\ a_1=-4,\ n=7,\ r=6:\\\\S_7=-4\cdot\dfrac{1-6^7}{1-6}=-4\cdot\dfrac{1-279936}{-5}=-4\cdot\dfrac{-279935}{-5}=(-4)(55987)\\\\S_7=-223948

7 0
4 years ago
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