The amount of dollars that Mr. Levant would exchange for 100 pesos on his return is <u>$9</u>.
<h3>What is an exchange rate?</h3>
An exchange rate is a rate that is used to convert one nation's currency to another.
The exchange rate is based on the purchasing power of each nation's currency.
<h3>Data and Calculations:</h3>
Dollars before traveling to Mexico = $270
Value of Mexican pesos received for $270 = 3,000 pesos
Exchange rate = $1 = 11.11 pesos (3,000/$270)
Amount of pesos left after the trip = 100 pesos
Value of 100 pesos in dollars = <u>$9</u> (100/$11.11)
Thus, the amount of dollars that Mr. Levant would exchange for 100 pesos on his return is <u>$9</u>.
Learn more about exchange rates at brainly.com/question/2202418
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(a) Using the completing the square method, we need to write into the form of where , so
Expand to find the value of c
Notice that we get back the first two terms, the and the .We need to get rid of the last term of '9' as the term was not in the original form. The final form will look like
Hence,
(b)
(c) , square root both sides plus and minus of 2 Hence
It's a complementary angle, so just solve for x and subtract the CBD from 90,
First, we have to solve for x.
2x + 14 + x + 7 = 90
Combine like terms
3x + 21 = 90
Balance, subtract 21 from each side.
3x = 69
Divide 3 from each side
x = 23.
So know that we know x is 23, we can go about it 2 ways, subtracting the other angle with 90 or just substituting the variable, I'd just substitute the variable for it so just do 23 + 7. That equals 30, angle ABC = 30.
Answer:
Thanks
Step-by-step explanation:
U great
<u>Given</u>:
The equation of the circle is 
We need to determine the center and radius of the circle.
<u>Center</u>:
The general form of the equation of the circle is 
where (h,k) is the center of the circle and r is the radius.
Let us compare the general form of the equation of the circle with the given equation
to determine the center.
The given equation can be written as,

Comparing the two equations, we get;
(h,k) = (0,-4)
Therefore, the center of the circle is (0,-4)
<u>Radius:</u>
Let us compare the general form of the equation of the circle with the given equation
to determine the radius.
Hence, the given equation can be written as,

Comparing the two equation, we get;


Thus, the radius of the circle is 8