Answer:
<em>Answer: choice D.</em>
Step-by-step explanation:
<u>Trigonometric Functions</u>
We need to recall some properties and definitions of the trigonometric functions.
We need to simplify the following expression:
Substituting the identity for the secant:
Operating:
Substituting the definition of the tangent:
Correct choice D.
Answer:
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
we know that
The perimeter of a triangle is the sum of the length of their three sides
so
where
a,b,c are the length sides of the triangle
In this problem we have
substitute and solve for the missing length
7. <u>You have $367.50 after two years.</u>
<em>Start by converting 2.5% into a decimal (divide by 100) and multiplying by 350 to find the rate of interest per year.</em>
<em>350(0.025) = 8.75</em>
<em>Since it's for two years, multiply by two. </em>
<em>8.75 x 2 = 17.5.</em>
<em>Add it on to he original, and we have</em>
<em>350 + 17.5 = 367. 5, or $367.50 when converted back to money. </em>
8. <u>The annual interest rate is 2.4%</u>
<em>find the interest rate per year: </em>
<em>120/2.5 = 48 dollars per year. this is the interest amount, we want to find the interest rate. To do this, find what % of 2000 that 48 is equal to. </em>
<em>Set up a system of equations and cross multiply.</em>
<em /><em />
<em>2000x = 48(100) > 2000x = 4800</em>
<em>2000</em><em>/2000</em><em>x = 4800</em><em>/2000 > </em><em>x = 2.4</em>
<em>So, the interest rate is 2.4%. </em>
9. <u>the interest paid is $300 after six months, and $600 after a year.</u>
<em>Find the interest rate, similar to problem 7. </em>
<em>3000 x 0.2 = 600. This means the interest paid is $600 a year. In six months, the total will be half, or $300.</em>
10. <u>four years.</u>
<em>Find interest rate. </em>
<em>200(0.035) = $7/year</em>
<em>Remember that value. Subtract needed from current.</em>
<em>228 - 200 = $28. </em>
<em>So, we have an interest rate of $7 a year and we need $28. Normally, we'd solve using an expression, but in this case we can use simple multiplication. Knowing that 7 x 4 = 28, We can decide that it will take four years. </em>