Answer: (x^2)/16 + (y^2)/25 = 1
Step-by-step explanation:
According to the problem we can figure out that the center of the ellipse is (0,0).
Since the foci is (0,3) and (0,-3) we know that the value of c is 3. The major vertices are (0,5) and (0,-5) so the value of a is 5.
If we put this into the equation a^2=b^2 + c^2, we get 25=9+ b^2
We get b^2 is 16
Now since we know that the ellipse is vertical because the x value didn’t change, we know that the b^2 value comes first in the equation. Then the a^2 value which is 25.
Given:
Rate of interest = 8% compounded continuously.
Amount = 100,000
Time = 25 years
To find:
The principal value.
Solution:
Formula for amount after continuous compound interest:
Where, A is amount, P is principal, r is the rate of interest and t is the number of years.
Putting 
in the above formula, we get
On further simplification, we get
Therefore, the amount 13533.528 is invested.
You can buy 2 green shirts for 23 dollars, so you have 7.1 dollars left! Or $7.10 left.
Answer:
Option B). 10 cm
Step-by-step explanation:
Distance between center and the focus of an ellipse is given by the formula,
c² = a² - b²
where, a = length of the major axis
b = length of the minor axis
and c = distance between focus and center
If c = 6 cm, b = 8 cm,
6² = a² - 8²
a² = 6² + 8²
a² = 36 + 64
a² = 100
a = 10 cm
Therefore, length of the major axis is 10 cm.
Option (B) is the answer.
Answer:
6%
Step-by-step explanation:
Let T= truck
C= Car
We are looking for the probability that someone owns a truck given that they own a car
or
P(T|C)
The conditional probability formula is as follows:
P(T|C)=(T∩C)/C
plugging in numbers..
.04/.63=6.3492% which rounds to 6%
