Answer:
(x-1)²/49 + (y+3)²/16.51 = 1
Step-by-step explanation:
vertex (8,-3) Foci (6.7,-3) center (h,k) = (1,-3) , major axis parallel to x axis
a is the distance of the vertex from the center, and c is the distance of the foci from the center. b is semi-minor axis
b² = a² - c² Ellipse equation: (x-h)²/a² + (y-k)²/b² = 1
a = 8-1 = 7 c = 6.7 - 1 = 5.7
b² = 7² - 5.7² = 16.51
Ellipse equation: (x-1)²/49 + (y- -3)²/16.51 = 1 i.e. (x-1)²/49 + (y+3)²/16.51 = 1
Answer:
Step-by-step explanation:
In this problem we have a exponential equation of the form
where
y is the population of the city
x is the number of years
a is the initial value or y-intercept
b is the base
r is the rate of growth
b=(1+r)
we have
substitute
For x=17 years
substitute the value of x in the exponential equation and solve for y
Lets start with the chain of 3's:
18 = 3 + 3 + 3 + 3 + 3 + 3
But, we know that
3 + 3 = 2 + 2 + 2
Sol, let's replace 3 + 3 by 2 + 2 + 2 one by one.
Hence, the possible ways of combinations are listed below:
18 = 3 + 3 + 3 + 3 + 2 + 2 + 2 (1)
18 = 3 + 3 + 2 + 2 + 2 + 2 + 2 + 2 (2)
Therefore, there are two combinations of 2- and 3- point shots that could total 18 points.
Darryl:
Answer:
A = $1,905.00
(I = A - P = $405.00)
Equation:
A = P(1 + rt)
Lori:
Answer:
A = $1,932.00
(I = A - P = $532.00)
Equation:
A = P(1 + rt)
Thus $532-$405= $127 more in Lori's account
