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
60%
You divide 3/5 and then you get a decimal 0.6. Then you convert it to a percentage
Answer:
13 seconds.
Step-by-step explanation:
Given
Required
Determine a reasonable solution for t
To do this, we equate h to 0.
becomes
Divide through by -4.9
Reorder the expression
Split
or 
This gives:
or 
But time can't be negative, So:
So if the combined revenues were $51 billion. Then it would be best to divide that between the two companies as a starting point. Each company would have $25.5 billion if they were split 50-50. Since PepsiCo has 9 billion more than Coca-Cola. Simply take PepsiCo's value and add $9 billion to it, which would be $34.5 billion. Finally, take $51 billion, subtract it $34.5 billion, which is PepsiCo's value to get Coca-Cola's value, which is 16.5 billion for me.
