Lila need more money = $35.85
Solution:
Given data:
Cost of paint brush = $4.60
Cost of set of paints = $11.85
Cost of easel = $25.60
Total cost of all the items = $4.60 + $11.85 + $25.60
= $42.05
Total cost of all the items = $42.05
Lila already had amount = $6.20
Amount of money needed = Total cost of all the items – Lila had amount
= $42.05 – $6.20
= $35.85
Hence, Lila need $35.85 more money.
Answer: <
im sorry if this is wrong im not entirely sure :(
<h3>Answer: 36,400 dollars</h3>
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Work Shown:
Triple each deposit amount as you go from month to month.
100 deposited in January
300 deposited in February
900 deposited in March
2700 deposited in April
8100 deposted in May
24300 deposited in June
Add up those amounts: 100+300+900+2700+8100+24300 = 36,400
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A shortcut is to use the following formula
S = a*(1-r^n)/(1-r)
where
S = sum of the first n terms of a geometric sequence
a = first term = 100 which is the amount deposited in Jan.
r = common ratio = 3 is the idea we triple each deposit
n = number of terms = 6 is the number of months from Jan to June
So we get,
S = a*(1-r^n)/(1-r)
S = 100*(1-3^6)/(1-3)
S = 36,400
which is the same answer as before. This method is much faster if n is large.
Area of each of the tiles = (2.5 * 6) inches^2
= 15 inches^2
Now we have to get down to the case of the backsplash
1 feet = 12 inches
Then
Length of the back splash = 8 feet
= (8 * 12) inches
= 96 inches
Height of the back splash = 2.5 feet
= (2.5 * 12) inches
= 30 inches
Then
Area of the back splash = ( 30 * 96) inches^2
= 2880 inches^2
So
The number of tiles required to fit in the back splash = 2880/15
= 192
So 192 tiles will be required to fit in the back splash. I hope the procedure is clear enough for you to understand.