Answer:
Option D (7, -3)
Step-by-step explanation:
We know that the general equation of an ellipse has the form:
Where the point (h, k) are the coordinates of the center of the ellipse
In this case the equation of the ellipse is:
Then
So The coordinates of the center of the ellipse are (7, -3)
The equivalent expression for the expression that represents the amount Carmen would earn is 5000(1.0005^12)^t.
<h3>What is the equivalent expression?</h3>
Based on the expression given, Carmen's investment is compounded monthly.
The formula for calculating future value:
FV = P (1 + r)^nm
- FV = Future value
- P = Present value
- R = interest rate
- m = number of compounding
- N = number of years
5000(1.0005)^12t
= 5000(1.0005^12)^t
50002.5^12t
Please find attached the complete question.To learn more about future value, please check: brainly.com/question/18760477
The object should be placed 20/cm from the lens so as to form its real image on the screen
<h3>Mirror equation</h3>
The mirror equation is given according to the expression below;
1/f = 1/u + 1/v
where
f is the focal length
u is the object distance
v is the image distance
Given the following parameters
f = 5cm
v = 20cm
Required
object distance u
Substitute
1/5 = 1/u +1/20
1/u = 1/5-1/20
1/u = 3/20
u = 20/3 cm
Hence the object should be placed 20/cm from the lens so as to form its real image on the screen
Learn more on mirror equation here; brainly.com/question/27924393
#SPJ1
The answer of the next term is 31
Answer:
The volume of the sphere is 1436 in³
The equation is
V = ⁴⁄₃ * 3.14 * (7ft)³
Step-by-step explanation:
radius = half of diameter
d = 14ft
r = 14ft / 2 = 7ft
To calculate the volume of a sphere we have to use the following formula:
V = volume
r = radius = 7ft
π = 3.14
V = ⁴⁄₃πr³
we replace with the known values
V = ⁴⁄₃ * 3.14 * (7ft)³
V = 4.187 * 343 in³
V = 1436 in³
The volume of the sphere is 1436 in³
