Answer:
The equation representing Total money spend being as a member is 
Step-by-step explanation:
Given:
Memberships charges = $60
Cost of 1 book = $7.60
Let number of books be 'b'.
We need to find Total money 'm' spend yearly on buying books after becoming member.
Now we know that 1 book is free for a member.
Total money spend 'm' will be equal to Sum Memberships charges and Cost of 1 book multiplied by number of books bought yearly minus 1.
Framing in equation form we get;
Hence The equation representing Total money spend being as a member is
Price of a Cake
10.5/3= 3.5
1 Cake = $3 and 5 cents, 3.5
Price of a cookie
3.5*4=14
14 out of 14.80 was the cost of 4 cakes
Which leaves us with 0.8
8/0.8= 0.1
The Price of 1 cookie is 0.1
1 Cake: 3.5
1 Cookie: 0.1
Answer:
A
Step-by-step explanation:
Given the zeros are x = - 1 and x = 3 then the factors are
(x + 1) and (x - 3) and the parabola is the product of the factors, that is
y = a(x + 1)(x - 3) ← where a is a multiplier
To find a substitute (0, - 9) into the equation
- 9 = a(0 + 1)(0 - 3) = a(1)(- 3) = - 3a ( divide both sides by - 3 )
3 = a, thus
y = 3(x + 1)(x - 3) ← expand the factors using FOIL
= 3(x² - 2x - 3) ← distribute by 3
= 3x² - 6x - 9 → A
Step-by-step explanation:
that is
sum(2^r) for r=1 to n, plus sum(1/2) for r=1 to n.
and that is
sum(2^r) + n/2 for r=1 to n.
2^r is a geometric sequence with 2 being the common ratio (every new term is created by multiplying the previous term by 2).
and since r is starting at 1, the first term a1 = 2.
the formula for the sum of a finite geometric sequence is
Sn = a1×(1 - r^n) / (1 - r)
with r being the common ratio .
so, in our case
Sn = 2×(1 - 2^n) / (1 - 2)
Sn = (2 - 2^(n+1)) / -1 = 2^(n+1) - 2
and so, in total we get
2^(n+1) - 2 + n/2 = 2^(n+1) + (n - 4)/2
