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s344n2d4d5 [400]
3 years ago
15

The number of books donated to a library is increasing by 25% each month. Initially, there were 80 books donated to the library.

There were 100 books donated at the end of Month 1. How many books are expected to be donated to the library at the end of Month 10? Round the answer to the nearest whole number. Enter your answer in the box.
Mathematics
1 answer:
lions [1.4K]3 years ago
4 0

Answer: There would be 745 books at the end of month 10.

Step-by-step explanation:

Since we have given that

Number of books initially = 80

Rate of growth = 25% = 0.25

t = 10 months

We need to find the number of books that are expected at the end of month 10.

As we know the formula for "Compound interest":

A=P(1+\dfrac{r}{100})^t\\\\A=80(1+\dfrac{25}{100})^{10}\\\\A=80(1+0.25)^{10}\\\\A=80(1.25)^{10}\\\\A=745.05

Hence, there would be 745 books at the end of month 10.

You might be interested in
-
bixtya [17]

Using an exponential function, it is found that f(5.5) = 19.8.

<h3>What is an exponential function?</h3>

An exponential function is a function in which the growth rate is a percentage, modeled by:

y = ab^x

In which:

  • a is the initial value.
  • b is the rate of change.

f(3.5) = 25 means that:

ab^{3.5} = 25

a = \frac{25}{b^{3.5}}

f(8.5) = 14 means that:

ab^{8.5} = 14

Hence:

\frac{25}{b^{3.5}} \times b^{8.5} = 14

25b^5 = 14

b = \sqrt[5]{\frac{14}{25}}

b = 0.89

a = \frac{25}{0.89^{3.5}} = 37.59

Hence, the function is given by:

y = 37.59(0.89)^x

Then, when x = 5.5:

f(5.5) = 37.59(0.89)^{5.5} = 19.8

More can be learned about exponential functions at brainly.com/question/25537936

7 0
2 years ago
Question 3 (10 points)
Georgia [21]

Answer:

$10,000

Step-by-step explanation:

6% of 10000 = 0.06 × 10000 = 600

8 0
3 years ago
What value or values of x satisfy 2x + 5.31 = 4.2?
Softa [21]

Answer:  x can equal -3.2 or -7.4.

Step-by-step explanation:

The correct expression is:

2|x+5.3|=4.2

So, we have an absolute value equation, where it can be positive or negative:

  • Positive

2 (x+5.3)=4.2

2x+10.6 =4.2

2x=4.2-10.6

2x = -6.4

x= -6.4/2

x = -3.2

  • Negative

2[-(x+5.3)]=4.2

-2x-10.6 =4.2

-2x= 4.2+10.6

-2x= 14.8

x= 14.8/-2

x= -7.4

x can equal -3.2 or -7.4.

Feel free to ask for more if needed or if you did not understand something.  

3 0
3 years ago
What is the domain of f
frez [133]

Answer:

[ - 6 , 6 ]

Step-by-step explanation:

This is because the value of f(t) for x values only ranges from -6 to 6.

Please mark for Brainliest!! :D Thanks!!

For more questions or more information, please comment below!

8 0
3 years ago
2. Suppose the temperature that most foods can stay bacteria free in restaurants varies approximately according to a normal dist
vagabundo [1.1K]

Answer:

28.4

Step-by-step explanation:

Given that:

Mean, m = 31.3

Standard deviation, s = 2.8

Since, data is normally distributed :

P(x < 0.15) gives a Z value of - 1.036

Using the Zscore formula :

Z = (x - mean) / standard deviation

-1.036 = (x - 31.3) / 2.8

-1.036 * 2.8 = x - 31.3

-2.9008 = x - 31.3

-2.9008 + 31.3 = x

28.3992 = x

The temperature which correlates to the bottom 15% of the distribution is 28.4

7 0
3 years ago
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