Answer:
x = 7/2 y = 5/2
Step-by-step explanation:
You can either use the elimiation or adding and subtracting method to get the variables for both x & y.
Once you solved for one variable, plug in the variable you just solved back into the original equation to find the other variable.
Answer:
Approximately
7.5
hours
Step-by-step explanation:
Explanation:
We are trying to determine the value of
h
in the compound growth formula
XXX
20
×
(
1
+
0.85
)
h
=
2000
or, simplified:
XXX
1.85
h
=
100
Taking the
log
1.85
of both sides:
XXX
log
1.85
100
With the aid of my trusty spreadsheet:
XXX
h
≈
7.48582192
Here, A.P. is 3x-1, 4x, 5x+1, 4
i) Common difference (d)
(5x-1) - 4x = x - 1
It would be same as 4 - (5x-1) = 4-5x+1 = 5-5x
Now, x - 1 = 5 - 5x
5x + x = 5 + 1
6x = 6
x = 6/6
x = 1
So, Common difference would be 1
ii) Eight term will be: a + (n-1)d = 2 + (8-1)2 = 2+7(2) = 2+14 = 16
So, eight term would be 16
Hope this helps!
Answer:
Part A: The percent discount on game is 20%.
Part B: Mario paid a total of $28.50 including sales tax.
Step-by-step explanation:
Given that:
Part A:
Original price of video game = $32.99
Discounted price = $26.39
Amount of discount = 32.99 - 26.39 = $6.60
Discount percent = ![\frac{Amount\ of\ discount}{Original\ price}*100](https://tex.z-dn.net/?f=%5Cfrac%7BAmount%5C%20of%5C%20discount%7D%7BOriginal%5C%20price%7D%2A100)
Discount percent = ![\frac{6.60}{32.99}*100 = 0.20*100](https://tex.z-dn.net/?f=%5Cfrac%7B6.60%7D%7B32.99%7D%2A100%20%3D%200.20%2A100)
Discount percent = 20%
Part B:
Sales tax = 8% of discounted price
Amount of sales tax = ![\frac{8}{100}*26.39 = 0.08*26.39](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B100%7D%2A26.39%20%3D%200.08%2A26.39)
Amount of sales tax = $2.11
Total amount = $26.39 + $ 2.11 = $28.50
Hence,
Part A: The percent discount on game is 20%.
Part B: Mario paid a total of $28.50 including sales tax.
Answer:
Billy is a fly enthusiast! He has a huge glass container filled with 506 flies! One day when Billy went to feed the flies, he accidentally left the screw opened for too long, and 8 flies escaped! How many flies are left in the tank?