DOWN 1. (11 × 9) + 2 =
2 answers:
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Answer:
x²/2166784 +y²/2159989 = 1
Step-by-step explanation:
The relationship between the semi-axes and the eccentricity of an ellipse is ...
e = √(1 -b²/a²)
In order to write the desired equation we need to find 'b' from 'e' and 'a'.
__
<h3>semi-minor axis</h3>Squaring the equation for eccentricity gives ...
e² = 1 -b²/a²
Solving for b², we have ...
b²/a² = 1 -e²
b² = a²(1 -e²)
<h3>ellipse equation</h3>Using the given values, we find ...
b² = 1472²(1 -0.056²) = 2166784(0.996864) ≈ 2159989
The desired equation is ...
x²/2166784 +y²/2159989 = 1
Answer:
3yrs
Step-by-step explanation:
Given parameters:
Capital = $700
Percentage interest = 4% per annum
Unknown:
Time it will take for amount to be = $784
Solution:
To find the simple interest on an amount;
I =
P is the principal
R is the rate
T is the time
I is the interest
Insert the parameters:
I =
I = 28T
So;
At the end of the duration:
Principal + Interest = Amount
700+28T = 784
28T = 784 - 700
28T = 84
T = 3yrs