The total units of stationery he has would be 55 approximately.
<h3>What is a system of equations?</h3>
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
David keeps a range of stationery in his study.
Let the pencil is represented by x.
Let the erasers be represented by y.
Let the pens be represented by z.
Let n be the stationery.
5/7 of his stationery consists of pencils.
x = 5/7 n
1/6 of the remaining stationery consists of erasers.
y = 1/6 n
There are 20 pens in his study.
z = 20
The total stationery
X + y + z
5/7 n + 1/6 n + 20 = n
20 = n -23/ 36 n
20 = 13 / 36 n
n = 55.38
Therefore, the total units of stationery he has would be 55 approximately.
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Answer:
<u>$11,000</u>
Step-by-step explanation:
Let amount invested for 12% yield be <em>p . </em>Amount for 4% yield is therefore (<em>18000-p)</em>
Interest for 12%:<em> 12% of p=0.12p</em>
Interest for 4%: <em>4% of </em>(<em>18000-p)=0.04(18000-p)=720-0.04p</em>
Total interest:
<em>=0.12p</em> + (<em>720-0.04p)</em>
<em>=0.12p-0.04p+720</em>
<em>=0.08p+720</em>
But we already know the total interest is 1280
Therefore: <em>0.08p+720=1280</em>
<em>0.08p=1280-720</em>
<em>0.08p=560</em>
<em>p=560÷0.08</em>
<em>p=7000</em>
Therefore at 4% the person invested:
(<em>18000-p)</em>
<em>18000-7000</em>
<em>$11,000</em>
Step-by-step explanation:
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Using the range of [ 0 , 2π ]
Answer:
- 5
Step-by-step explanation:
Probability of a coin toss : (H, T)
With probability of 0.5 each
X : ____100 ____ - 110
P(x) :___ 0.5 ____ 0.5
Expected value ; E(X) = ΣX*p(X)
E(X) = (100 * 0.5) + (-110 * 0.5)
E(X) = 50 - 55
E(X) = - 5
Expected value = - 5
