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topjm [15]
3 years ago
6

A certain library assesses fines for overdue books as follows. On the first day that a book is overdue, the total fine is $0.10.

For each additional day that the book is overdue, the total fine is either increased by $0.30 or doubled, whichever results in the lesser amount. What is the total fine for a book on the fourth day it is overdue?
A. $0.60B. $0.70C. $0.80D. $0.90E. $1.00
Mathematics
1 answer:
HACTEHA [7]3 years ago
4 0

Answer:

Option B. $0.70

Step-by-step explanation:

First day fine = $0.10

Second day fine (doubled or $0.30 which is lesser)

= $0.10 + $0.10           [$0.10 is lesser than $0.30]

= $0.20

Third day fine = $0.20 + $0.20           [ $0.20 is lesser than $0.30]

                      = $0.40

Fourth day fine = $0.40 + $0.30  = $0.70

[$0.30 is cheaper than doubling the amount $0.40 + $0.40]

Therefore, the total fine for a book on the fourth day is $0.70

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What is the total investment of $2150 invested at 5.3% for 16 years and compounded continuously?
sladkih [1.3K]

Answer:

The total investment is $5020.19

Step-by-step explanation:

Given : $2150 invested at 5.3% for 16 years and compounded continuously

To find : What is the total investment?

Solution :

The formula of continuously compounded interest is

A = Pe^{rt}

Where A = amount invested

P = principal = $2150

e = Euler's number (on calculator)

r = interest rate as decimal = 5.3%=0.053

t = time in years = 16 years

Substitute the value in the formula,

A = Pe^{rt}

A = 2150\times e^{0.053\times 16}

A = 2150\times e^{0.848}

A = 2150\times 2.3349

A = 5020.19

Therefore, Option 4 is correct.

The total investment is $5020.19.

6 0
3 years ago
Pablo simplified the expression (2 Superscript negative 4 Baseline) Superscript negative 2 as shown. (2 Superscript negative 4 B
Lorico [155]

Answer:

He should have found 8 as the exponent, not –8.

Step-by-step explanation:

im doing a unit test

8 0
3 years ago
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Find a gradient of a line that is parallel and perpendicular to this line with this gradient of -2
yulyashka [42]

a gradient of a line that is parallel and perpendicular to this line with this gradient of -2

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So slope of the line =-2

Slope of parallel line is equal to the slope of the line

So slope of parallel line = -2

Slope of perpendicular line is equal to negative reciprocal of slope of the line

We know slope of line = -2

Negative reciprocal = \frac{1}{2}

So , Slope of perpendicular line= \frac{1}{2}

7 0
3 years ago
Use the roster method to write the given set the set of integers x that satisfy 2x-1= -13
anygoal [31]

The only set of elements that satisfied the equation 2x-1= -13 is {-6}.

<h3>What is a set?</h3>

A set is a combination of specific quantities in which the meaning of each variable must be the same.

For example {1,2,3,4,5,6...} is a set of natural numbers in which each variable is representing a natural number so the overall meaning is the same among all.

Another example could be a set of whole numbers like that.

Given the equation,

2x-1= -13

By taking -1 right-hand side

2x = -13 + 1 = -12

By dividing 2

x = -6

Hence "The only set of elements that satisfied the equation 2x-1= -13 is {-6}".

To learn more about the sets,

brainly.com/question/8053622

#SPJ4

6 0
1 year ago
Six less than the quotient of a number and 7 is 8.<br><br><br><br> Help
elena55 [62]

Answer:

X ÷ 7 - 6 = 8

Is your expression.

8 0
3 years ago
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