There were a total of 483 sheep and goats on the farm. When ⅔ of the sheep were sold, the number of the sheep left was equal to
2 answers:
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the difference in the amount of interest Stephanie would have to pay for each of these two loans is $1950 . Correct option D) .
<u>Step-by-step explanation:</u>
Here we have , Stephanie is taking out a loan in the amount of $15,000. Her choices for the loan are a 4-year loan at 3% simple interest and a 5-year loan at 5% simple interest. We need to find the difference in the amount of interest Stephanie would have to pay for each of these two loans . let's find out:
a 4-year loan at 3% simple interest :
⇒ { As loan is for 4 years we multiply by 4 }
⇒
⇒ $
a 5-year loan at 5% simple interest :
⇒ { As loan is for 5 years we multiply by 5 }
⇒
⇒ $
So , Difference = $3750 - $1800 = $1950
Therefore , the difference in the amount of interest Stephanie would have to pay for each of these two loans is $1950 . Correct option D) .
Answer:
Step-by-step explanation:
<u>Trigonometric Formulas</u>
To solve this problem, we must recall some basic relations and concepts.
The main trigonometric identity relates the sine to the cosine:
The tangent can be found by
The cosine and the secant are related by
They both have the same sign.
The sine is positive in the first and second quadrants, the cosine is positive in the first and fourth quadrants.
The sine is negative in the third and fourth quadrants, the cosine is negative in the second and third quadrants.
We are given
Find the cosine by solving
We have placed the negative sign because we know the secant ('sex') is negative and they both have the same sign.
Now compute the tangent
Rationalizing