3 years ago

Q and R are independent events. P(Q) = 0.2; P(Q and R) = 0.09. Find P(R)

Mathematics

1 answer:

nasty-shy [4]3 years ago

3 0

Is it P (q+r ) or P( q, r)?

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If an investment of $3000 grows to $4432.37 in eight years with interest compounded annually , what is the interest rate?

melamori03 [73]

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\to &\$4432.37\\
P=\textit{original amount deposited}\to &\$3000\\
r=rate\to r\%\to \frac{r}{100}\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &8
\end{cases}$

$\bf 4432.37=3000\left(1+\frac{r}{1}\right)^{1\cdot 8}\implies \cfrac{4432.37}{3000}=(1+r)^8
\\\\\\
\sqrt[8]{\cfrac{4432.37}{3000}}=1+r\implies \sqrt[8]{\cfrac{4432.37}{3000}}-1=r
\\\\\\
0.0500001086\approx r\qquad\qquad\cfrac{r\%}{100}\approx 0.0500001086
\\\\\\
r\%\approx 100\cdot 0.0500001086\implies r=\stackrel{\%}{5}$

6 0

3 years ago

A garden is being created in an area that is shaped like an isosceles trapezoid, as shown. Topsoil is needed to fill the garden,

Alla [95]

Answer: 12

Step-by-step explanation:

6 0

2 years ago

HELP ME ASAP.

slavikrds [6]

Answer:

The first number lets say is x

the second is y so

y=1/2x+8

x+1/2x+8=58

1 1/2x=50

x= 33 1/3

Hope This Helps!!!

6 0

2 years ago

Read 2 more answers

In the number 3.072 the digit 7 is in the ? place and the digit 2 is in the ? place.

notka56 [123]

Answer:

7= Hundredths

2=Thousandths

8 0

3 years ago

Will mark brainliest for area.

Elena L [17]

Answer:

Step-by-step explanation:

first, find the area of the rectangle thing,

A = lw

14 x 8

112

but, there is a semicircle in it so you need to subtract that from it:

A = πr^2/2

A = π(4)^2/2

A = π16/2

A = 8π

A ≈ 25.132741228718346

then subtract that area from the area of the rectangle:

112 - 25.132741228718346

86.867258771281654

or about 89.9

6 0

3 years ago