<span>Initial number of the people that belong to a certain social website is 412. It is growing at a rate of 5% every month. It means that every month the number of people is growing 1.05 times. We can calculate how many of them will there be in 9 months: 412 * 1.05^9 = 412 * 1.55 = 638.6. When we round to the nearest whole number: there will be 369 members.</span>
Answer:
I think the equation is 7l +5=60
Step-by-step explanation:
Answer:
Equation is: y = 0.5x² + 0.5x - 3
Explanation:
general form of the parabola is:
y = ax² + bx + c
Now, we will need to solve for a, b and c.
To do this, we will simply get points from the graph, substitute in the general equation and solve for the missing coefficients.
First point that we will use is (0,-3).
y = y = ax² + bx + c
-3 = a(0)² + b(0) + c
c = -3
The equation now becomes:
y = ax² + bx - 3
The second point that we will use is (2,0):
y = ax² + bx - 3
0 = a(2)² + b(2) - 3
0 = 4a + 2b -3
4a + 2b = 3
This means that:
2b = 3 - 4a
b = 1.5 - 2a ...........> I
The third point that we will use is (-3,0):
y = ax² + bx - 3
0 = a(-3)² + b(-3) - 3
0 = 9a - 3b - 3
9a - 3b = 3 ...........> II
Substitute with I in II and solve for a as follows:
9a - 3b = 3
9a - 3(1.5 - 2a) = 3
9a - 4.5 + 6a = 3
15a = 7.5
a = 7.5 / 15
a = 0.5
Substitute with the value of a in equation I to get b as follows:
b = 1.5 - 2a
b = 1.5 - 2(0.5)
b = 0.5
Substitute with a and b in the equation as follows:
y = 0.5x² + 0.5x - 3
Hope this helps :)
Answer:
110.06
Step-by-step explanation:
Make a ratio: 95.20 / x = 86.5 / 100 (86.5 = 100% - 13.5%)
Cross multiply: 95.20 x 100 = 86.5x
9520 = 86.5x
110.06 = x
