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3 years ago

14

What is the simple interest rate if p = $4000, t = 2 years and I = $320

1 answer:

Komok [63]3 years ago

4 0

Answer:

Step-by-step explanation:

interest was $160 for one year.

160/4000 = 0.04 = 4%

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Is the square root of 81 natural whole integer rational irrational or real ?

Alika [10]

Answer:

It is natural

Step-by-step explanation:

6 0

3 years ago

Nat2105 [25]

Answer:

A. $f(n) =0.2n+4.8$

B. The y intercept is 4.8

Step-by-step explanation:

Given

$a_n= 5 + 0.2(n-1)$

Solving (a): Write as a function.

To do this, we simply substitute f(n) for $a_n$

$a_n= 5 + 0.2(n-1)$ becomes

$f(n)= 5 + 0.2(n-1)$

Open Bracket

$f(n) = 5 + 0.2n-0.2$

Collect Like Terms

$f(n) =0.2n-0.2 + 5$

$f(n) =0.2n+4.8$

B. The y intercept.

To get the y intercept, we set n to 0

i.e

$f(0) =0.2 * 0+4.8$

$f(0) =0+4.8$

$f(0) =4.8$

Hence, the y intercept is 4.8

4 0

3 years ago

Solve the equation for all real values of x.<br> cosxtanx - 2 cos x=-1

IceJOKER [234]

Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

<u>Step-by-step explanation:</u>

Here we have , $cosxtanx - 2 cos^2 x=-1$ . Let's solve :

⇒ $cosxtanx - 2 cos^2 x=-1$

⇒ $cosx(\frac{sinx}{cosx}) - 2 cos^2 x=-1$

⇒ $sinx = 2 cos^2 x-1$

⇒ $sinx = 2 (1-sin^2x)-1$

⇒ $sinx = 1-2sin^2x$

⇒ $2sin^2x+sinx-1=0$

By quadratic formula :

⇒ $sinx = \frac{-b \pm \sqrt{b^2-4ac} }{2a}$

⇒ $sinx = \frac{-1 \pm \sqrt{1^2-4(2)(-1)} }{2(2)}$

⇒ $sinx = \frac{-1 \pm3}{4}$

⇒ $sinx = \frac{1}{2} , sinx =-1$

⇒ $sinx = sin\frac{\pi}{6} , sinx = sin\frac{3\pi}{2}$

⇒ $x=\frac{\pi}{6} , x=\frac{3\pi}{2}$

But at $x=\frac{3\pi}{2}$ we have equation undefined as $cos\frac{3\pi}{2}=0$ . Hence only solution is :

⇒ $x=\frac{\pi}{6}$

Since , $sin(\pi -x)=sinx$

⇒ $x=\pi -\frac{\pi}{6} = \frac{5\pi}{6}$

Now , General Solution is given by :

⇒ $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$

Therefore , Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

3 0

3 years ago

A culture started with 6,000 bacteria. After 3 hours, it grew to 7,200 bacteria. Predict how many bacteria will be present after

yanalaym [24]

There will be 45,600 bacteria present after 19 hours

3 0

3 years ago

I got 1.3k points somehow so im feeling nice<br> giving 50 points+brainliest to the first answer

kotykmax [81]

Answer: HI ; ) Im ready......Okay whats the question?

Step-by-step explanation:

3 0

3 years ago