3 years ago

Matthew is going to invest in an account paying an interest rate of 5-5% compounded

Mathematics

1 answer:

maw [93]3 years ago

4 0

Answer: 86950

Step-by-step explanation:

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How many different arrangements can be made with the letter of the word 'M O R O C C O'?

valentinak56 [21]

Since the order matters, it's a permutation of 7 letters, but mind you in
MOROCCO. you have 3 O's and 2 C's, Hence the arrangements are:

⁷P₇ /(3!2!) = 7!/(3!2!) = 5040/(3!2!) = 420 arrangements

8 0

3 years ago

Use a calculator to find the r-value of these data. Round the value to three decimal places.

Sindrei [870]

Answer:

-0.985

Step-by-step explanation:

Refer to the image below for explanation:

4 0

2 years ago

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(sin x)(tan x cos x - cot x cos x) = 1 - 2 cos2x

Aliun [14]

As

$\tan x=\dfrac{\sin x}{\cos x}$
$\cot x=\dfrac{\cos x}{\sin x}$

we have

$\sin x(\tan x\cos x-\cot x\cos x)=\sin x\left(\sin x-\dfrac{\cos^2x}{\sin x}\right)=\sin^2x-\cos^2x$

Recalling that $\cos2x=\cos^2x-\sin^2x$ , we end up with

$-\cos2x=1-2\cos2x$
$1=\cos2x$
$\implies2x=2n\pi$

(where $n$ is any integer)

$\implies x=n\pi$