Answer:
10 terms
Step-by-step explanation:
equate the sum formula to 55 and solve for n
n(n + 1) = 55 ( multiply both sides by 2 to clear the fraction )
n(n + 1) = 110 ← distribute parenthesis on left side
n² + n = 110 ( subtract 110 from both sides )
n² + n - 110 = 0 ← in standard form
Consider the factors of the constant term (- 110) which sum to give the coefficient of the n- term (+ 1)
the factors are + 11 and - 10 , since
11 × - 10 = - 110 and 11 - 10 = + 1 , then
(n + 11)(n - 10) = 0 ← in factored form
equate each factor to zero and solve for n
n + 11 = 0 ⇒ n = - 11
n - 10 = 0 ⇒ n = 10
However, n > 0 , then n = 10
number of terms which sum to 55 is 10
Answer:
$318
Step-by-step explanation:
The treasury bond is $10,000
The current yield is 3%
= 3/100
=0.03
It is quoted at 106 points
The first step is to calculate the price of the bond
Price of the bond= $10,000×106/100
= $10,000×1.06
= $10,600
Therefore the annual interest can be calculated as follows
Annual interest= $10,600×0.03
= $318
Hence the annual interest is $318
Hello from MrBillDoesMath!
Answer:
Choice D, x-2
Discussion:
Observe the the highest order term in the numerator is x^4 and the highest order term in the denominator is x^3. So the highest order term in their quotient is x^4/x^3 = x. Choice D is the only possible answer as all other choices start with x^2
Regards,
MrB
If it's -4+8, -4 is 4 less than 0. 8 is 8 more than 0, also 4+4. so -4+4 would be zero, then there's 4 more and 0+4 is 4
