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Sauron [17]
3 years ago
11

500 principal earning 3% compound monthly, after 10 years.

Mathematics
1 answer:
mamaluj [8]3 years ago
4 0

Answer:

D. $674.68

Step-by-step explanation:

We will use the well known equation for compound interest

A = P(1 + \frac{r}{n})^{nt}

Where

  • A is the final total
  • P is the principal amount (starting total)
  • r is the interest rate as a decimal
  • n is the number of times the interest is compounded each year
  • t the number of years

Plugging in what we know from the question:

A = 500(1+\frac{0.03}{12})^{12 \times 10}\\A = 500(1.34935355)\\A = 674.68

So the answer is D.

Hope this helps!

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A certain shop repairs both audio and video components. Let A denote the event that the next component brought in for repair is
tigry1 [53]

Answer:

The question continues ; Suppose that P(A) = 0.625 and P(B) = 0.05, what is P(B|A)

Step-by-step explanation:

The steps are as shown in the attachment

4 0
3 years ago
Read 2 more answers
I need #2, #3, #4, #7, and #8.<br> but do as much as you can pls thanks !
kifflom [539]

Answer:

See explanation.

Step-by-step explanation:

2) Your written answer is correct, y = x +4

3) Slope of perpendicular line: 5/2

y=mx+b

4 = (5/2)(4) + b

4 = 10 + b

b = -6

So, y=(5/2)x - 6

4) Slope of perpendicular line: 1

y=mx+b

5 = (1)(4) + b

5 = 4 + b

b = 1

So, y = x + 1

7) Slope of perpendicular line: 3/4

y=mx+b

4 = (3/4)(4) + b

4 = 3 + b

b = 1

So, y = (3/4)x + 1

8) Slope of perpendicular line: 1/4

y=mx+b

-2 = (1/4)(0) + b

b = -2

So, y = (1/4)x - 2

4 0
3 years ago
Let f(x) = -20x2 + 14x + 12 and g(x) = 5x - 6. Find f/g and state its domain.
UkoKoshka [18]

Solution

f(x) = -20x^{2} +14x + 12 and g(x) = 5x - 6.

(f/g)(x) = \frac{f(x)}{g(y)}

(f/g)(x) = \frac{-20x^{2}+14x +12 }{5x - 6}

<u>Step 1: </u>Now we have to factorize the numerator.

f(x) = -20x^2 + 14x + 12

Factor out -2, we get

= -2 (10x^2 - 7x - 6)

Now we can factorize 10x^2 - 7x - 6                  

f(x) = -2(2x + 1) (5x - 6)

<u>Step 2: </u>Plug in the factors

(f/g)(x) = \frac{-2 (2x +1)(5x - 6)}{(5x - 6)}

<u>Step 3:</u> Cancel out the common factor (5x - 6) from the numerator and the denominator, we get

(f/g)(x) = -2(2x +1) = -4x -2

Since -4x -2 is linear expression, the domain is all the real numbers.

Therefore, the answer is –4x – 2; all real numbers

Thank you :)

4 0
3 years ago
Easy points of you answer this ! So help me out
BabaBlast [244]

The answer is going to be 200 because the real answer would be 216.84

6 0
3 years ago
Read 2 more answers
Express in the form n:1 give n as a decimal 21:12
Makovka662 [10]

1.75:1 which is similar to n:1 where n=1.75

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

Here we have to Express in the form n:1 give n as a decimal 21:12 . Let's find out:

Given ratio as 21:12 . Let's convert it into n:1 , where n is decimal

⇒ 21:12

⇒ \frac{21}{12}

⇒ \frac{3(7)}{3(4)}

⇒ \frac{7}{4}

⇒ \frac{\frac{7}{4}}{\frac{4}{4}}                      { dividing denominator & numerator by 4 }

⇒ \frac{\frac{7}{4}}{1}

⇒ \frac{1.75}{1}

⇒ 1.75:1 which is similar to n:1 where n=1.75

7 0
3 years ago
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