Answer:
x = 6 cos t
y = 6 sin t
where t varies from 0 to 2pi
Step-by-step explanation:
Given that an ellipse is centred at the origin in xy plane.
So equation would be of the form

Major axis =2a= 12
so a=6
Minor diameter = 8
b = 8/2 = 4
a=6 and b =4
Also (6,0) should correspond to t=0
So best parametrization would be
x = 6 cos t
y = 6 sin t
where t varies from 0 to 2pi
Future value formula:
F=A((1+i)^n-1)/i
=65(1.02^27-1)/.02
=2297.38
=2297.38 (nearest cent)
There are 7 dimes and 9 quarters Jayden has.
Step-by-step explanation:
Given,
Worth of dimes and quarters = $2.95 = 2.95*100 = 295 cents
One dime = 10 cents
One quarter = 25 cents
Let,
x be the number of dimes
y be the number of quarters
According to given statement;
10x+25y=295 Eqn 1
y = x+2 Eqn 2
Putting value of y from Eqn 2 in Eqn 1

Dividing both sides by 35

Putting x=7 in Eqn 2

There are 7 dimes and 9 quarters Jayden has.
Keywords: linear equation, substitution method
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Answer:
1.) divisor multiplied by the proper power of ten = 131
2.) dividend multiplied by the proper power of ten = 47
3.) quotient = 2.787
Step-by-step explanation:
1. To make the divisor a whole number you should multiply it by
= 100
And the divisor and the dividend must be multiplied by the same power of ten, that is
= 100.
So, multiplyind the divisor by
= 100:

And multiplyind the dividend by
= 100:

2. Obtain the quotient:
Using the calculator you obtain the quotient between divisor and dividend:

Factor out common factors. 10x+15 >>> 5(2x+3)