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skad [1K]
3 years ago
8

Find the exact value of the 8th term of the geometric sequence: 648,216,72,24

Mathematics
1 answer:
VLD [36.1K]3 years ago
6 0
The sequence multiplies by 1/3.
Using the formula for a geometric sequence:
a(n) = a(1) * r^(n-1)
So...
a(n) = 648 * (1/3)^(n-1)
Plugging in 8 for n produces:
a(n) = 648 * (1/3)^(7)
Using a calculator, I find the answer to be 0.296296296... 
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Kara used the linear model y=45,000+ 0.05x to predict her total salary from achieving total sales of x.
hoa [83]

Answer:

45,000 is the starting salary with zero sales

.05 is the amount multiplied by the number of sales that is added to her salary

For each sale we add .05 to her salary

Step-by-step explanation:

y = 45,000 +.05x

Rewriting as

y = .05x +45,000

This is in slope intercept form ( y=mx+b) where m is the slope and b is the y intercept

.05 is the slope and 45,000 is the y intercept

45,000 is the starting salary with zero sales

.05 is the amount multiplied by the number of sales that is added to her salary

For each sale we add .05 to her salary

6 0
4 years ago
My rule is: y = x + 12 <br> If y = 17 <br> What is x?
Usimov [2.4K]

Answer:

x=5

Step-by-step explanation:

y=x+12

17=x+12

17=5+12

17=17 ✓

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Select all that apply.
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Why do some merchants, particularly smaller businesses, set a minimum purchase of $10 for any credit card transaction, or simply
amm1812
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