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3 years ago

Tori takes his dog to be groomed. The fee to groom the dog is $75 plus 6.75% tax. Is 80$ enough to pay for the service?

1 answer:

8 0

Ok, so if you have $75 and have to pay a % of tax, you move the decimal two spaces to the left then multiply the decimal by 75. So, .0675x75= $5.06 tax, then add 5.06 and 75 which is $80.06, so he does not have enough to pay.

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Consider the initial value function y given by

Nuetrik [128]

Answer:

y(s) = $\frac{5s-53}{s^{2} - 10s + 26}$

we will compare the denominator to the form $(s-a)^{2} +\beta ^{2}$

$s^{2} -10s+26 = (s-a)^{2} +\beta ^{2} = s^{2} -2as +a^{2} +\beta ^{2}$

comparing coefficients of terms in s

$s^{2} :$ 1

s: -2a = -10

a = -2/-10

a = 1/5

constant: $a^{2}+\beta ^{2} = 26$

$(\frac{1}{5} )^{2} + \beta ^{2} = 26\\\\\beta^{2} = 26 - \frac{1}{10} \\\\\beta =\sqrt{26 - \frac{1}{10}} =5.09$

hence the first answers are:

a = 1/5 = 0.2

β = 5.09

Given that y(s) = $A(s-a)+B((s-a)^{2} +\beta ^{2} )$

we insert the values of a and β

$\\5s-53$ = $A(s-0.2)+B((s-0.2)^{2} + 5.09^{2} )$

to obtain the constants A and B we equate the numerators and we substituting s = 0.2 on both side to eliminate A

5(0.2)-53 = A(0.2-0.2) + B((0.2-0.2)²+5.09²)

-52 = B(26)

B = -52/26 = -2

to get A lets substitute s=0.4

5(0.4)-53 = A(0.4-0.2) + (-2)((0.4 - 0.2)²+5.09²)

-51 = 0.2A - 52.08

0.2A = -51 + 52.08

A = -1.08/0.2 = 5.4

the constants are

a = 0.2

β = 5.09

A = 5.4

B = -2

Step-by-step explanation:

since the denominator has a complex root we compare with the standard form $s^{2} -10s+26 = (s-a)^{2} +\beta ^{2} = s^{2} -2as +a^{2} +\beta ^{2}$
Expand and compare coefficients to obtain the values of a and β as shown above
substitute the values gotten into the function
Now assume any value for 's' but the assumption should be guided to eliminate an unknown, just as we've use s=0.2 above to eliminate A
after obtaining the first constant, substitute the value back into the function and obtain the second just as we've shown clearly above

Thanks...

3 0

3 years ago

Find slope: PLEASE HELP !

mixas84 [53]

Answer:

1/5

Step-by-step explanation:

up 1, right 5

5 0

2 years ago

Read 2 more answers

5. To get to the library from his house, Robert biked 6 kilometers due east and then

AURORKA [14]

Answer:

24 kilometers.

Step-by-step explanation:

The shortest path between two points is a straight segment that connects the two points.

Refer to the diagram attached. The 6-km segment and the 8-km segment are normal to each other. Together with the segment that joins the library and the house, the three segments now form a right triangle.

The two shorter segments are the two legs, and
The longer segment that joins the library and the house is the hypotenuse.

The length of the hypotenuse can be found with the Pythagorean Theorem.

$\begin{aligned}\text{Hypotenuse} &= \sqrt{(\text{Leg 1})^{2} + (\text{Leg 2})^{2}}\\&= \sqrt{6^{2} + 8^{2}}\\&= \sqrt{36 + 64} \\&= \sqrt{100}\\&= \rm 10\;km\end{aligned}$ .

The length of the round-trip will equal to the sum of the length of the three segments: $\rm 6\;km + 8\;km + 10\;km = 24\;km$ .

5 0

3 years ago

Rhea sold 6 boxes of blueberry muffins and 8 boxes of corn muffins at the bake sale. Each box contained 18 muffins. The muffins

Elenna [48]

6 boxes of blueberry muffins and 8 boxes of corn muffins

Since we know that each box has 18 muffins, we can multiply both 6 and 8 to determine the amount of muffins present

6 • 18 = 108 blueberry muffins
8 • 18 = 144 corn muffins

To determine the price, you multiply each type of muffin by 0.50 as each muffin is worth $0.50

108 • 0.50 = 54
144 • 0.50 = 72

You add these two together to get the price

54 + 72 = $126

If you explain what the estimate is, if I didn’t answer that along the way, I can help answer it for you.

7 0

2 years ago

An equipment rental business currently charges $32.00 per power tool rental and averages 24 rentals a day. The company recently

pogonyaev

Part a I think sorry if I’m wrong

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2 years ago