Any ideas please anybody?

Mathematics

1 answer:

r-ruslan [8.4K]3 years ago

3 0

Answer:

Upper bound: 7.85

Lower bound: 7.75

Step-by-step explanation:

7.8 is the value that is rounded to one decimal place.

To find the upper and lower bounds, add and subtract one from the decimal place. You should get 7.7 and 7.9.

Then pick the number directly in between 7.7 and 7.8 and 7.8 and 7.9. You should get 7.75 and 7.85.

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Answer:

b. They can both be 90 degree angles

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4 years ago

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

photoshop1234 [79]

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

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