PLEASE HURRY TIME LIMIT 30 POINTS

Mathematics

1 answer:

stepladder [879]3 years ago

8 0

Answer:

<h2>see the answers</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about</h3>

trigonometry

<h3>tips and formulas:</h3>

sin=opp/hypo
Cos=adj/hypo
tan=opp/adj

<h3>let's solve:</h3>

according to the question

$b)\sin( \theta) = \frac{27}{45}$

according to the question

$c)\cos( \theta) = \frac{36}{45}$

according to the question

$f)\tan( \theta) = \frac{27}{36}$

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$10,000 at an annual rate of 7%, compounded semi-annually, for 2 years

forsale [732]

Answer:

$\$13,107.96$

Step-by-step explanation:

Since interest is compounded semi-annually (half a year or 6 months), in a spawn of 2 years, the interest will have been compounded 4 times. As given in the problem, each time the interest is compounded, the new balance will be 107% or 1.07 times the amount of the old balance.

Therefore, we can set up the following equation to find the new balance after 2 years:

$\text{New balanace}=10,000\text{ (old balance)}\cdot 1.07\cdot 1.07\cdot 1.07\cdot 1.07,\\\text{New balanace}=10,000\cdot 1.07^4=\boxed{\$13,107.96}$