3 years ago

Answer in one decimal places

Mathematics

2 answers:

olga2289 [7]3 years ago

5 0

Answer:

ffyjbcjklkkofdfkjjjjj.ghjnn

kobusy [5.1K]3 years ago

4 0

Answer:

x = 126.9° , x = 306.9°

Step-by-step explanation:

Given

3tanx = - 4 ( divide both sides by 3

tanx = - $\frac{4}{3}$

Since tanx < 0 then x is in 2nd / 4th quadrants

x = $tan^{-1}$ ( $\frac{4}{3}$ ) ≈ 53.1° ← related acute angle

Then

x = 180° - 53.1° = 126.9°

x = 360° - 53.1° = 306.9°

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$7000 is compounded semiannually at a rate of 11% for 21years Find the total amount and round to the nearest cent

photoshop1234 [79]

$\text{Given that }\$7000 \text{ is compounded semiannualy at a rate of }11\% \text{ for 21 years}\\
\\
\text{we know that the amount after t year when compounded is given by}\\
\\
A=P\left ( 1+\frac{r}{n} \right )^{nt}\\
\\
\text{here P is the principal amoount, so }P=7000,\\
\\
\text{r is the interest rate, }r=11\%=0.11\\
\\
\text{n is the number of times in a year, here semiannulay, so }n=2,\\
\\
\text{and t is the time, so }t=21\\
\\
\text{so the amount after 21 years is}$

$A=7000\left ( 1+\frac{0.11}{2} \right )^{2(21)}\\
\\
\Rightarrow A=7000\left ( 1+0.055 \right )^{42}\\
\\
\Rightarrow A=7000\left ( 1.055 \right )^{42}\\
\\
\Rightarrow A\approx 66328.68$