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Andre45 [30]
3 years ago
14

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

Mathematics
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
Part A
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
2 years ago
Solve the equation for all real values of x.<br> cosxtanx - 2 cos x=-1
IceJOKER [234]

Solution to equationcosxtanx - 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 equationcosxtanx - 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
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