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3 years ago

How do you find the arc in a circle

Mathematics

1 answer:

miskamm [114]3 years ago

6 0

Answer: Watch the description

Step-by-step explanation:

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Brian invests ?1900 into a savings account. The bank gives 3.5% compound interest for the first 2 years and 4.9% thereafter. How

Scorpion4ik [409]

let's check how much is it after 2 years firstly.

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &1900\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yearly, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases} \\\\\\ A=1900\left(1+\frac{0.035}{1}\right)^{1\cdot 2}\implies A=1900(1.035)^2\implies A=2035.3275$

Brian invested the money for 6 years, so now let's check how much is that for the remaining 4 years.

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &2035.3275\\ r=rate\to 4.9\%\to \frac{4.9}{100}\dotfill &0.049\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yearly, thus once} \end{array}\dotfill &1\\ t=years\dotfill &4 \end{cases}$

$\bf A=2035.3275\left(1+\frac{0.049}{1}\right)^{1\cdot 4}\implies A=2035.3275(1.049)^4 \\\\\\ A\approx 2464.54\implies \boxed{\stackrel{\textit{rounded up }}{A=2465}}$

4 0

3 years ago

A window is designed as shown below. Find the value of x

Alex787 [66]

Answer:

x=20

Step-by-step explanation:

We know that a line is 180 degrees, and the base of the cemi-circle is a line. So, we would have:

x+7x+x=180

9x=180

x=20

Hope this helps!!

6 0

3 years ago

Read 2 more answers

A bookstore had 90 copies of a magazine. Yesterday, it sold 1/6 of them. Today, it sold 1/5 of what remained. How many copies do

MA_775_DIABLO [31]

Answer:

60 copies

Step-by-step explanation:

first you take 1/6th of the original 90 copies which is 15 and subtract that from the 90, you are left with 75 copies which is how many they had left at the end of yesterday. then you take 1/5th of the 75 copies that are left which is also 15 and you subtract that from 75 and you get 60. that's why at the end of today there are 60 copies left.

6 0

3 years ago

Rewrite in simplest radical form 1/x^−3/6 Show each step of your process please!

Romashka [77]

$\frac{1}{a^{-b} } =a^b \\c^{ \frac{a}{b} }= \sqrt[b]{c^a} \\ \\ \frac{1}{x^{- \frac{3}{6} }}=\frac{1}{x^{- \frac{1}{2} }} =x^ \frac{1}{2} = \sqrt[2]{x^1} = \sqrt{x}$

8 0

3 years ago

Estimated m 60=4m 4x0=

11111nata11111 [884]

[ Answer ]

M = 15

4 * 0 = 0

[ Explanation ]

60 / 4 = 15

15 * 4 = 60

4 * 0 = 0

<> Eclipsed <>

4 0

3 years ago