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Gnoma [55]
3 years ago
9

Diego wanted to find the 7% sales tax on purchases that total $15.99. On his calculator the display showed $1.1193 as the tax. H

ow much sales tax will Diego pay?
Mathematics
1 answer:
cricket20 [7]3 years ago
6 0
If I understand this question correctly, Diego will pay $1.12 because the 9 rounds the 1 up to a 2.
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The length of a rectangle is the sum of the width and one. The area direct angle 72 units. What’s the length, in units, of the r
insens350 [35]

Answer:

The length of the rectangle is of 9 units.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

Area of a rectangle:

A rectangle has width w and length l. The area is the multiplication of these measures, that is:

A = wl

The length of a rectangle is the sum of the width and one.

This means that l = w+1, or w = l - 1

The area direct angle 72 units. What’s the length, in units, of the rectangle

We want to find the length. So

wl = 72

(l-1)l = 72

l^2 - l - 72 = 0

Quadratic equation with a = 1, b = -1, c = -72. So

\bigtriangleup = (-1)^{2} - 4(1)(-72) = 289

l_{1} = \frac{-(-1) + \sqrt{289}}{2*(1)} = 9

l_{2} = \frac{-(-1) - \sqrt{289}}{2*(1)} = -8

Since the length is a positive measure, the length of the rectangle is of 9 units.

8 0
3 years ago
What does the double bracket mean in this equation: f(x)=[[x]]
elena-s [515]
[[x]] means that the integer should be rounded down to the greatest integer that is of the same value as x or is lower than x.
4 0
3 years ago
Plz help me with this binary division whith full process/explanation 1001010 ÷ 101​
aivan3 [116]

Answer:

Step-by-step explanation:

Its like doing a long division with base 10 numbers:

           1110    <----------- Quotient

101)1001010

        101

         1000

            101

               111

                101

                  100

So the answer is 1110 remainder 100.

We can confirm this by converting to decimal numbers

1001010 = 74 and 101 = 5.

74 / 5 = 14 remainder 4.

3 0
3 years ago
1. Which of the following represent distributive property?
pshichka [43]
I think the answer is B hope this helps.
3 0
3 years ago
Read 2 more answers
Amount $100,000
sergey [27]

Answer:

1) Repaid for the loan = $239,511.60  

2) Percentage = 58.2%

3) Average amount = $387.53

Step-by-step explanation:

Given :

Amount $100,000  

Rate 7%

Payments 360  - $665.31

Total interest $139,511.60

To find :

1) How much will be repaid for this loan?

Repaid for the loan = Amount - Total interest  

Repaid for the loan = 100,000 + 139,511.60

Repaid for the loan = $239,511.60  

2) What percentage will be repaid for this loan?

\text{Percentage}=\frac{\text{Total interest}}{\text{Repaid loan}}\times100

\text{Percentage}=\frac{139511.60}{239511.60}\times100

\text{Percentage}=0.582\times100

\text{Percentage}=58.2\%

3) What will be the average amount per payment for interest?

\text{Average amount}=\frac{\text{Total interest}}{\text{Payments}}

\text{Average amount}=\frac{\text{139511.60}}{\text{360}}

\text{Average amount}=387.53

4 0
3 years ago
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