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2 years ago

14

the united states has 12,383 miles of coastline.if 0.8 of the coastline is located in georgia,about how many miles of coastline

are in georgia

1 answer:

Blababa [14]2 years ago

4 0

0.8? I dont get the question?

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Assume ABC Company deposits $90,000 with First National Bank in an account earning interest at 6% per annum, compounded and semi

Brilliant_brown [7]

Answer: A) $120,953

Step-by-step explanation:

The formula to calculate the compound amount (semi-annually):-

$A=P(1+\dfrac{r}{2})^{2n}$ , where P is principal amount , r is rate of interest and n is the number of time periods.

Given : Principal amount : P= $90,000

Rate of interest : 6% per annum = 0.06 per annum

Time period : n= 5 years

$A=(90000)(1+\dfrac{0.06}{2})^{2\times5}=120952.474141\approx 120,953$

Hence, the ABC will have $ 120,953 in the account after five years if interest is reinvested.

5 0

2 years ago

Divide.<br> a.1 − 2i/2i<br> b. 5 − 2i/5 + 2i<br> c.√3 − 2i/−2 − √3i

Umnica [9.8K]

Answer:

(a) \frac{-1i}{2}-1[/tex]

(b) $\frac{20i+21}{29}$

(c) i

Step-by-step explanation:

We have to perform division

(a) $\frac{1-2i}{2i}$

So after division

$\frac{1-2i}{2i}=\frac{1}{2i}-\frac{2i}{2i}=\frac{-1i}{2}-1$

(b) We have given expression $\frac{5-2i}{5+2i}$

After rationalizing $\frac{5-2i}{5+2i}\times \frac{5-2i}{5-2i}=\frac{(5-2i)^2}{25+4}=\frac{25+4i^2+20i}{29}=\frac{20i+21}{29}$

(c) We have given expression $\frac{\sqrt{3}-2i}{-2-\sqrt{3i}}$

After rationalizing

$\frac{\sqrt{3}-2i}{-2-\sqrt{3i}}\times \frac{-2+\sqrt{3i}}{-2+\sqrt{3i}}=\frac{-2\sqrt{3}+7i+2\sqrt{3}}{7}=\frac{7i}{7}=i$

5 0

3 years ago

(04.05) Evan spent 20 hours doing homework last week. This week he spent 25 hours doing homework. He says that he spent 125% mor

natali 33 [55]

Answer:

Evan is correct

Step-by-step explanation:

To find this answer, we can use the formula A=PxW

A=Part, P=Percentage, W=Whole

We can fill in the numbers we know and leave blank (with the variable) the numbers we want to find out

In this scenario, we want to find out if 25 is 125% of 29

So we can use this formula and do the equation like this:

A=1.25x20

This gets us to 25

So Evan is correct!

Hope this helps and please award brainliest if possible!

3 0

1 year ago

A business was valued at £80000 at the start of 2013. In 5 years the value of this business raised to £95000. this is equivalent

Yuri [45]

the yearly increase of x% assumes is compounding yearly, so let's use that.

$~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\£95000\\ P=\textit{original amount deposited}\dotfill &\£80000\\ r=rate\to r\%\to \frac{r}{100}\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yearly, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases}$

$95000=80000\left(1+\frac{~~ \frac{r}{100}~~}{1}\right)^{1\cdot 5}\implies \cfrac{95000}{80000}=\left( 1+\cfrac{r}{100} \right)^5 \\\\\\ \cfrac{19}{16}=\left( 1+\cfrac{r}{100} \right)^5\implies \sqrt[5]{\cfrac{19}{16}}=1+\cfrac{r}{100}\implies \sqrt[5]{\cfrac{19}{16}}=\cfrac{100+r}{100} \\\\\\ 100\sqrt[5]{\cfrac{19}{16}}=100+r\implies 100\sqrt[5]{\cfrac{19}{16}}-100=r\implies 3.5\approx r$

4 0

1 year ago

Please be correct !!!!!!!!!!!!!!!!!xx

givi [52]

<span>$2,022.92 would be the answer

</span>

5 0

3 years ago

Read 2 more answers