Answers:
The next two terms are 67.5 and 101.25 in that order.
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Explanation:
Divide the second term over the first to get 30/20 = 1.5
Divide the third term over the second term to get 45/30 = 1.5
The common ratio is 1.5, which means we multiply 1.5 by each term to get the next term
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fourth term = 1.5*(third term) = 1.5*45 = 67.5
fifth term = 1.5*(fourth term) = 1.5*67.5 = 101.25
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As a shortcut you can plug n = 4 and n = 5 into the function t(n) = 20*(1.5)^(n-1) to get the fourth and fifth terms respectively.
It would be (all under a big square root) (-7-5)squared + (3+2) squared. This equals to about root 169
Answer:
700 beads are in each bag.
Step-by-step explanation:
<span>Let the major axis = 2a , and the minor axis = 2b
∴ a = 26/2 = 13 and b = 24/2 = 12
and the equation of foci:
c² = a² - b²
= 13² - 12² = 169 - 144 = 25
∴ c = √25 = 5
∴ The distance between the foci = 2 * 5 = 10
</span>
Answer:
$12.85
Step-by-step explanation:
First we need to find the sale price of the CD
Sale price = old price - old price * discount rate
= 17 - 17* .3
= 17 - 5.1
= 11.9
The sale price of the CD is 11.90
Now we need to find the tax
tax = sale price of cd * tax rate
= 11.9 * .08
= .95
The final cost of the CD is sale price of CD plus the tax
Total cost = sale price of CD + tax
= 11.90 + .95
=12.85
