Problem 1
y + (y/a) = b
a*( y + (y/a) ) = a*b ... multiply both sides by 'a'
ay + a(y/a) = ab ... distribute
ay + y = ab
(a+1)y = ab .... factor
y(a+1) = ab
y = ab/(a+1) ... divide both sides by (a+1)
<h3>Answer: y = ab/(a+1)</h3>
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Problem 2
z - a = z/b
b(z - a) = b(z/b) .... multiply both sides by b
b(z - a) = z
bz - ab = z ... distribute
bz - ab+ab = z+ab ... add ab to both sides
bz = z+ab
bz-z = z+ab-z ... subtract z from both sides
bz-z = ab
z(b-1) = ab .... factor
z = ab/(b-1) .... divide both sides by (b-1)
<h3>Answer: z = ab/(b-1) </h3>
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Notes:
To clear out the fractions, I multiplied both sides by the denominator value.
The restriction that 'a' cannot equal -1, back in problem 1, is to avoid having the denominator (a+1) be equal to zero. We cannot divide by zero. A similar situation happens with problem 2 as well.
Answer:
The right answer is "1.818".
Step-by-step explanation:
The given values are:
a = 0.1
Now,
The test statistic will be:
⇒ 
On substituting the given values, we get
⇒ 
⇒ 
⇒ 
Answer:
a7 = 36
Step-by-step explanation:
Here, we are to use the recursive formula to calculate the 7th term( we add the preceding term to 4 so as to get the succeeding term)
a1 = 12
using the recursive formula given in the question
a2 = 12 + 4 = 16
a3 = 16 + 4 = 20
a4 = 20 + 4 = 24
a5 = 24 + 4 = 28
a6 = 28 + 4 = 32
a7 = 32 + 4 = 36
Answer: A. When it comes after the decimal point, as in 4.000
Step-by-step explanation: If there are no other numbers after the zeros, there is no reason for them to be place holders. Zeros in decimals act as place holders such as in 4.09 or 4.0009. This actually does change the value of the decimal but 4.000 is just the same as a regular old 4. Hope this helps!
