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3 years ago

Help me plsss I need help

Mathematics

1 answer:

RideAnS [48]3 years ago

3 0

x+1+7x-5=180.

8x -4=180

X=23

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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

2 years ago

Find the area of the triangles round to the tenth. Show steps please!

amm1812

Answer:

$\large\boxed{A=89.6}$

Step-by-step explanation:

It's the right triangle. The formula of an area of a right triangle:

$A=\dfrac{leg\cdit leg}{2}$

We have:

$leg=x\\leg=16\\\text{and the angle}\ \alpha=55^o$

Use tangent:

$tangent=\dfrac{opposite}{adjacent}$

$opposite=16,\ adjacent=x$

$\tan55^o\approx1.4281$

Substitute:

$\dfrac{16}{x}=1.4281$ convert the decimal to the fraction

$\dfrac{16}{x}=\dfrac{14281}{10000}$ cross multiply

$14281x=160000$ divide both sides by 14281

$x=\dfrac{160000}{14281}$

$x\approx11.2$

Calculate the area:

$A=\dfrac{(16)(11.2)}{2}=89.6$

7 0

3 years ago

Two friends go out to eat and order the same meal. They pay a 6% sales tax and a 20% tip on their meals. The total bill, includi

vova2212 [387]

Sales tax and tip will increase the price of an item.

The cost of each meal is: $10.89

Let the cost of both meals be x.

A 20% tip means that, the current price is:

$Price = x \times (1 + 20\%)$

A 6% sales tax on the meal means that, the current price is:

$Price = x \times (1 + 20\%) \times (1 + 6\%)$

So, we have:

$Price = x \times (1 + 0.20) \times (1 + 0.06)$

$Price = x \times (1.20) \times (1.06)$

$Price = x \times 1.272$

The amount paid is $27.72

So, the equation becomes

$27.72= x \times 1.272$

Make x the subject

$x = \frac{27.72}{1.272}$

$x = 21.78$

So, the cost of each meal is:

$Each= \frac{21.78}{2}$

$Each= 10.89$

Hence, the cost of each meal is: $10.89

Read more about sales tax at:

brainly.com/question/19715580

3 0

3 years ago

A house is 25 feet tall and a ladder is set up 35 feet away from the side of the house. approximately how long is the ladder fro

maks197457 [2]

Use Pythagorean Theorem of a^2 + b^2 = c^2 where a and b are the legs of the triangle set up by the house height and the ground, and c is the hypotenuse or how long the ladder is. C is going to be our unknown.

Just plugging in you get 25^2 + 35^2 = c^2. Simplify to 625 + 1225 = c^2. Simplify again to 1850 = c^2. The square root both sides to isolate the variable c. C = sqrt(1850) or approximately 43.0116 feet if rounded to 4 decimal places.

The ladder is approximately 43.0116 feet long.

4 0

3 years ago

4m=n+7 3m+4n +9 =0

Vlada [557]

Answer:

n=-3

m=1

Step-by-step explanation:

get m by itself then plug it in for the other m and solve, then solve for n.

3 0

3 years ago