Answer:
Here is your ans.
Step-by-step explanation:
I have few time Because I am too late to school.. So I had solved only up to q.no 5. . Hope you understand it. If you Like then Plz give a five star rating to my ans. And One thing sorry for rough handwriting and mistake
Answer:
70
Step-by-step explanation:
Answer:
n(n+1)(n+5)/3
Step-by-step explanation:
there is no value, as we don't know n.
but we can create a summary formula/ function definition :
this is the sum for k = 1 to n of k×(k+3)
k×(k+3) = k² + 3k
so, the overall sum splits into the sum of k² for k=1 to n, and the sum of 3k for k=1 to n.
and the sum of 3k is 3 times the sum of k for k=1 to n.
Σk² for k=1 to n = [n(n+1)(2n+1)]/6
Σk for k=1 to n = n(n+1)/2
3×Σk for k=1 to n = 3×n(n+1)/2
so, we have a function formula
n(n+1)(2n+1)/6 + 3n(n+1)/2 = n(n+1)(2n+1)/6 + 9n(n+1)/6 =
= n(n+1)(2n+1+9)/6 = n(n+1)(2n+10)/6 = n(n+1)(n+5)/3
Answer:
25 in and 9 cm
Step-by-step explanation:
Using Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let x be the missing side
A
x² = 7² + 24² = 49 + 576 = 625 ( take square root of both sides )
x =
= 25
B
x² + 12² = 15²
x² + 144 = 225 ( subtract 144 from both sides )
x² = 81 ( take square root of both sides )
x =
= 9
Answer:
--- Running cost
--- Monthly income
71 cars
R1775
Step-by-step explanation:
Given
Expenses

per car
Income
per car
Solving (a): Expression for the running cost
This is calculated as:

Where
y = Total running cost
x = number of cars
So:


Solving (b): Expression for monthly income
This is calculated as:

Where
y = Total income
x = number of cars
So:


Solving (c): Break even
To do this, we equate the expressions in (a) and (b)


Collect Like Terms


Solve for x


Solving (d): How much to break even
Substitute 71 for x in any of (a) or (b)



<em>Solving (e): There is no question to answer on the "graph"</em>