Answer:
3 1/3
Step-by-step explanation:
<u>Step 1</u> is to look at the problem.
Here, you notice that the first two numbers have fractions that are quarters. The total of those two fractions is 1/4 + 3/4 = 4/4 = 1.
So, the sum of the first two numbers is ...
1 1/4 + 3/4 = 1 +(1/4 +3/4) = 1 +1 = 2
<u>Step 2</u> is to add the next mixed number, which has a fraction with a different denominator. Since you have no fractions to add at this point, the sum is just ...
2 + 1 1/3 = 3 1/3
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<em>Comment on adding fractions</em>
Generally, adding fractions requires you determine a common denominator. Often, you are asked to find the <em>least</em> common denominator, but that isn't necessary. Sometimes that can save the work of reducing the fraction that results, but sometimes it makes more work.
Here, a common denominator for fourths and thirds would be twelfths:
1/4 = 3/12
1/3 = 4/12
However, since adding the fourths results in an integer, no common denominator is necessary.
Answer:
y=2x-46
Step-by-step explanation:
Select any two coordinate points. I'm picking (1,-44) and (2, -42).
x1 and y1 are the first coordinates. x2 and y2 are the second coordinates. The formula for finding the slope of a linear fuction is (y2-y1)/(x2-x1). Substiute the numbers into this formula:
-42-(-44)/2-1
=-42+44/1
=2
This is the slope. In y=mx+b, plug in your newly found slope. Next, to find the y-intercept, plug any pair of coordinate points into your incomplete formula y=2x+b. I'm going to use (1,-44) again.
-44=2(1)+b
-44=2+b
b=-46
Now, plug this into your formula, and you'll get y=2x-46.
Answer:
8
Step-by-step explanation:
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Answer:
$ 50,340.97
Step-by-step explanation:
From the above question, we can deduce that we are to find the Initial amount invested which is also called the Principal.
The formula to find Principal in a compound interest question is:
P = A / (1 + r/n)^nt
Where:
A = Total Amount obtained after invested = $80,000
r = Interest rate = 3.1% = 0.031
n = number of times interest in compounded = Quarterly = 4
t = time in years = 15
P = $80,000/(1 + 0.031/4)^4 × 15
P = $80,000/(1 +0.00775)^60
P = $ 50,340.97
Hence, James would have to invest $50,340.97 today to have $80,000 in 15 years.
