Answer:
a. $45.86
b. $43.87
c. Percentage change = -4.40%)
Step-by-step explanation:
a. Let the price of share at the beginning of first year be represented with X
Now, Price of company's share dropped by 3.50% at the end of first year.
So, Price of share at the end of first year = x - 3.5% of x
= x - 0.035x
= 1x - 0.035x
= 0.965x
But it is equal to $44.25
=> 0.965x = 44.25
x = 44.25 / 0.965
x = 45.8549223
x = $45.86
b. During second year price of share decreased by $1.99. Therefore, Price of share at the end of second year = $45.86 - $1.99 = $43.87
c. Percentage change in the price of shares over two years = {(45.86 - 43.87)/45.86} *100
= (1.99/45.86)*100
= 0.04339294 * 100
= 4.40%
Now, as price of shares has dropped, the percentage change will be negative. (Δ% = -4.40%)
12
because it is the only number that appears more than once which is basically the definition of mode.
Answer:
a) 1+2+3+4+...+396+397+398+399=79800
b) 1+2+3+4+...+546+547+548+549=150975
c) 2+4+6+8+...+72+74+76+78=1560
Step-by-step explanation:
We know that a summation formula for the first n natural numbers:
1+2+3+...+(n-2)+(n-1)+n=\frac{n(n+1)}{2}
We use the formula, we get
a) 1+2+3+4+...+396+397+398+399=\frac{399·(399+1)}{2}=\frac{399· 400}{2}=399· 200=79800
b) 1+2+3+4+...+546+547+548+549=\frac{549·(549+1)}{2}=\frac{549· 550}{2}=549· 275=150975
c)2+4+6+8+...+72+74+76+78=S / ( :2)
1+2+3+4+...+36+37+38+39=S/2
\frac{39·(39+1)}{2}=S/2
\frac{39·40}{2}=S/2
39·40=S
1560=S
Therefore, we get
2+4+6+8+...+72+74+76+78=1560
Place the compasses on the given external point R.
<span>You are given
35/8. You are asked to reduce it into the simplest form. You have to find the
greatest common factor of 35 and 8. First, divide 35 by 5 we get 7. Divide 8 by
5 gives a fraction. If we try to divide it by a larger number such as 35
divided by 35 equals one. And 8 by 35 gives a fraction. If we would not try to
divide each of them, 35 and 8, to any number, the number stays the same. Therefore
the simplest form of 35/8 is 35/8.</span>
