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Zinaida [17]
3 years ago
15

What are the domain and range of the function?

Mathematics
1 answer:
galben [10]3 years ago
3 0
The answer is b life goes on

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A man invested $10,000 in the bank. if the account pays 5% pa interest compounded monthly, how long would take for the man to ac
sesenic [268]

Answer:

<u>3.63 years</u>

Step-by-step explanation:

The formula would be of compound growth, which is:

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

Where

F is future amount (with interest)

P is initial deposit

r is rate of interest in a year

n is number of compounding in 1 year

t is the time in years

Given in this problem:

To accumulate 2000 interest means the future amount will be:

10000+2000 = 12,000

Present amount is 10,000

r is the annual interest, which is 5% or 0.05

compounded monthly means, 12 times a year, so n = 12

t is time in years, which we need to find

Substituting, we have:

F=P(1+\frac{r}{n})^{nt}\\12000=10000(1+\frac{0.05}{12})^{12t}\\1.2=(1.0042)^{12t}\\Ln(1.2)=Ln((1.0042)^{12t})\\Ln(1.2)=12t*Ln(1.0042)\\12t=\frac{Ln(1.2)}{Ln(1.0042)}\\12t=43.50099\\t=3.63

The time it will take is around <u>3.63 years</u>

8 0
3 years ago
Why can't Irrational numbers never be precisely represented in decimal form.
dexar [7]
Irrational numbers can not be precisely represented in decimal form because they are non-terminating, non-repeating decimals. Also they cannot be written as a fraction as well.
4 0
3 years ago
What is the equation of the line that is parallel to the given line and passes through the point (12, −2)? y = –Six-fifths x + 1
lapo4ka [179]

Answer:

y = Five-sixths x – 12

Step-by-step explanation:

In the picture attached, the given line is shown. Its slope is:

m = [6 - (-4)]/[12 - 0] = 5/6

The line that is parallel to the given line has the same slope.

A line with slope m that pass through (x1, y1) satisfies:

y - y1 = m(x - x1)

Replacing with m = 5/6 and point (12, -2):

y - (-2) = 5/6(x - 12)

y + 2 = 5/6x - 10

y = 5/6x - 10 - 2

y = 5/6x - 12

5 0
3 years ago
Read 2 more answers
If all the sides of a prism are multiplied by 5, by what factor does the volume increase?
NISA [10]
I'd say increasing each side by 5 increases the volume by a factor of 125 because 5*5*5 = 125.

Example:
A 4*5*6 prism has a volume of 120

Increasing each side by a factor of five
(20*25*30) = 15,000

15,000 / 120 = 125

4 0
3 years ago
Question 1<br> factor x^2 +8x +15<br> A. (x+5)(x+3)<br> B. (x+5)(x-3)<br> C. (X-5)(x-3)
Tema [17]
The answer is A (x+5)(x+3)

explanation:
the GCF of 15 is 3 and 5
3 and 5 also add up to 8 making each of the number the zeros

(x+5)(x+3)
3 0
3 years ago
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