Kara is sorting buttons by length for a craft project. The line plot shows the length of each button. If Kara lines up all the 3
/4-inch buttons, what would be the total length?
1 answer:
Answer:
2 and 1/4 or 2.25. Both numbers are the same.
Step-by-step explanation:
Hi,
Please see the picture I had to upload in order for this question to be complete. Please also note that Kara has 3 buttons in the 3/4 length. You have to sum up only those in that length and ignore the ones in different lengths.
It is a very simple multiplication, and there are 2 ways to do so. You can use either fractions or integer numbers. See the 2 options below:
3/4 (fractions) = .75 (integer numbers)
Option one - 3 * 3/4 = 9/4 which is represented by 2 and 1/4.
Option two - 3 * .75 = 2.25
Have a good one!
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</span>∠WYX = ∠WYZ = 90°....(1) (because WY is the altitude)
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In triangle, WXY, ∠WYX = 90° (From 1)
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Similarly, in WZY.
Hence, we conclude that XWZ is a right angle.
Line WY is an altitude (as shown in the attached picture)
Now, it is given that:
</span><span>If ΔYWZ ~ ΔYXW
</span>∠WXY = ∠WZY
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Then, we can also conclude
</span>∠WYX = ∠WYZ = 90°....(1) (because WY is the altitude)
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Before we start answering the question, let's define the compound interest formula:
Where:
<span>'A'</span> is the amount of money in dollars
'P' is the principal amount of money in dollars
'r' is the interest rate (decimal)
'n' is the number of times interest is compounded per year
't' is the time in years
<span>(A) Find Principal Amount
</span><u /><span><u>Given:</u>
</span>A = 12,000
P = ?
r = 0.08
n = 2 (semiannually)
t = 5
Now we plug our values in and solve:
∴ You would have to deposit $8106.77 in order to have $12,000 in 5 years from now.
(B) Find Principal Amount
Same given values as above, with the exception of 't' which is now 10 instead of 5.
∴ You would have to deposit $5476.64 in order to have $12,000 in 10 years from now.
Hope this helps!
Where:
<span>'A'</span> is the amount of money in dollars
'P' is the principal amount of money in dollars
'r' is the interest rate (decimal)
'n' is the number of times interest is compounded per year
't' is the time in years
<span>(A) Find Principal Amount
</span><u /><span><u>Given:</u>
</span>A = 12,000
P = ?
r = 0.08
n = 2 (semiannually)
t = 5
Now we plug our values in and solve:
∴ You would have to deposit $8106.77 in order to have $12,000 in 5 years from now.
(B) Find Principal Amount
Same given values as above, with the exception of 't' which is now 10 instead of 5.
∴ You would have to deposit $5476.64 in order to have $12,000 in 10 years from now.
Hope this helps!