Answer:
10 friends
Step-by-step explanation:
we know that
The formula of the sum is equal to
![sum=\frac{n}{2}[2a1+(n-1)d]](https://tex.z-dn.net/?f=sum%3D%5Cfrac%7Bn%7D%7B2%7D%5B2a1%2B%28n-1%29d%5D)
where
a1 is the first term
n is the number of terms (number of friends)
d is the common difference in the arithmetic sequence
In this problem we have
----> the common difference
substitute in the formula and solve for n
![275=\frac{n}{2}[2(5)+(n-1)(5)]](https://tex.z-dn.net/?f=275%3D%5Cfrac%7Bn%7D%7B2%7D%5B2%285%29%2B%28n-1%29%285%29%5D)
![550=n[10+5n-5]\\ \\550=10n+5n^{2} -5n\\ \\5n^{2}+5n-550=0](https://tex.z-dn.net/?f=550%3Dn%5B10%2B5n-5%5D%5C%5C%20%5C%5C550%3D10n%2B5n%5E%7B2%7D%20-5n%5C%5C%20%5C%5C5n%5E%7B2%7D%2B5n-550%3D0)
Solve the quadratic equation by graphing
The solution is n=10
see the attached figure
therefore
She had 10 friends who got stickers
Answer:
$89,472.58
Step-by-step explanation:
P = $82100
r = 4.3% = 4.3/100 = 0.043
T = 2 years
V = P × e^rt
V = 82100 × e^(0.043 × 2)
V = 82100 × e^(0.086)
V = 82100 × 1.0898
V = 89,472.58
The interest after 2 years is $89,472.58
Answer:
<h2>(-5, -28)</h2>
Step-by-step explanation:
The vertex form of a quadratic function <em>f(x) = ax² + bx + c</em>:
f(x) = a(x - h)² + k
(h, k) - coordinates of a vertex
We have <em>f(x) = x² + 10x - 3</em> in the vertex form <em>f(x) = (x + 5)² - 28</em>.
f(x) = (x - (-5))² + (-28) → h = -5, k = -28
A. 26.25 miles B. 6 inches apart. Hopefully this helps.
5.3 and 5.30 would be the answers.
