What is 10.4% written as a decimal?

Answers

Answer 1

Answer:

Answer:

0.104 is 10.4%

Step-by-step explanation:

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A quarterly telephone bill consist of N$79.15 rental plus 4.7 cents for each dialled unit. Sales tax is added at 15%. What is the total bill for Mrs. Jones who used 915 dialled units?

Answers

Answer:

$140.48

Step-by-step explanation:

Let x represent dialed units.

We have been given that a quarterly telephone bill consist of $79.15 rental plus 4.7 cents for each dialed unit.

4.7 cents = $0.047

Cost of dialing x units would be $0.047x$ .

Total cost of dialing x units would be $0.047x+79.15$ .

Let us find cost of dialing 915 units by substituting $x=915$ in above expression.

$0.047(915)+79.15$

$43.005+79.15$

$122.155$

Now, we will find 15% of sales tax as:

$122.155* (15)/(100)$

$122.155* 0.15$

$18.32325$

Total bill: $18.32325+122.155=140.47825\approx 140.48$

Therefore, Mrs. Jonas's bill would be $140.48.

$4.7 × 915 = 4300.5
$4300.5 + 79.15 = 4379.65
15% of 4379.65 = 656.9475
4379.65 + 656.9745 = 5036.6245
Mrs. Jones' Bill was $5036.63
(Rounded to the nearest 1/10)

if the perimeter of the rectangle is 96 feet, what are the length and width of the rectangular section?

Answers

Answer:

length is 39ft

width is 9ft

Step-by-step explanation:

let 6x - 15 be the length and x be the width

the perimeter of a rectangle is 2(L+W)

96 = 2(6x - 15 + x)

96 = 2(7x - 15)

96 = 14x - 30

126 = 14x

x = 9

Length is 6x - 15

6(9) - 15

54 - 15 = 39

Brandon found that a solution of x = 1 was extraneous for his function. What would be a possible denominator in Brandon's function?2x + 4

x2 + 3x + 9

3x - 11

x2 + 3x - 4

Answers

An extraneous solution is obtained when the simplified version of the function drives to a value thas does not belong to the domain of the complete function.

So, if x = 1 is an extraneous solution, it does not belong to the original domain.

if when you replace x = 1 in the expression of the denominator it results in 0, then it is an extraneous solution, because you cannot accept it as a valid solution.

Then we must check which of the expressions listed in the options drive to that possibility.

The promising choice is x^2 + 3x - 4.

Inded, If you substitute x = 1, you get (1)2 + 3(1) - 4 = 1 + 3 - 4 = 4 - 4 = 0.

And the answer is x^2 + 3x - 4.

Answer:

x^2+3x-4

Step-by-step explanation:

Help me please it is literal equation

Answers

Answer:

Step-by-step explanation:

s = n(a + 1)

n(a + 1) = s

a + 1 = s/n

a = s/n - 1

Estimate square root of 37 to the nearest hundredth

Answers

the answer would be 6.08. it can be done on a calculator and then rounded

Simplify square root of 5 multiplied by the cube root of 5.5 to the power of 5 over 6
5 to the power of 1 over 6
5 to the power of 2 over 3
5 to the power of 7 over 6

Answers

Answer:

5 to the power of 5 over 6 = $5^{(5)/(6)}$

Step-by-step explanation:

1)Let's define some properties about exponent:

$a^{(b)/(c)}=\sqrt[c]{a^(b)}$

For example :

$4^{(1)/(2)}=\sqrt[2]{4^(1)}=\sqrt[2]{4}=√(4)=2$

$2^{(6)/(3)}=\sqrt[3]{2^(6)}=\sqrt[3]{64}=4$

2)Another property of exponent is :

$(a^(b)).(a^(c))=a^(b+c)$

For example :

$(4^(2)).(4^(3))=4^(2+3)=4^(5)=1024$

This means that when we have two exponential functions with the same base that are multiplying between them, we can sum the exponents in order to make a new exponential function with the same base.

Using this two properties we can solve the problem.