To answer the question above we first need to know how much is the interest per year. In equation, 3% of $2500 is 75. 75 per year in 4 years is 300. So add $300 to the principal amount, the money after 4 years would be $2800.
We know that sin2x=2sinxcosx
(search the net for proof if you wish)
So the original equation becomes
2sinxcosx-sinx=0
The two terms both have sinx that can be taken out to get:
sinx(2cosx-1)=0
This is true if sinx=0 or 2cosx-1=0 , rewritten: cosx=1/2
sinx=0 than x=2kπ
cosx=1/2 than x=π/3+2kπ
where k is an integer
Answer:
Step-by-step explanation:
1a) angle x and angle y are corresponding angles. Both angles lie on the same side of the transversal. Since the lines are parallel, the angles are equal.
1b) angle x and angle y are interior angles on the same side of the transversal. Since the lines are parallel, the angles are equal supplementary.
1c) angle x and angle y are corresponding angles. Both angles lie on the same side of the transversal. Since the lines are parallel, the angles are equal.
1d) angle x and angle y are alternate interior angles. They are between the parallel lines and alternate sides of the transversal. Since the lines are parallel, the angles are equal.
ABC is reflected over y-axis and translated up 1 unit
Answer:
Step-by-step explanation:
1. Expand by distributing sum groups.
2. Expand by distributing terms.
3.Expand by distributing terms.
4. Remove parentheses.
5. Collect like terms.
6. Simplify.
Thus. the answer is,
