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Rasek [7]
3 years ago
10

If the sales tax rate in New Mexico is 5.125% what is the sales tax in the total price for a roll toilet paper if it cost $3.50

what is the sales tax and total price for the coat if it cost $45.87?
Mathematics
1 answer:
VikaD [51]3 years ago
3 0

1) The sales tax for the toilet paper is $0.17.

2) The price of the coat is $43.63 and the sales tax is $2.24.

Step-by-step explanation:

1) Let the cost of the toilet paper be 'a'

Sales tax = 5.125%

Total cost = $3.50

Total cost = price+ 5.125% of price

3.50 = a + (5.125 x a/100)

3.50 = (100a + 5.125a) /100

350 = 105.125a

a = 350/105.125

a = $3.33

Sales tax = 3.50 - 3.33

= $0.17

The sales tax for the toilet paper is $0.17.

2)let the price of the coat be 'a'

cost of the coat = $45.87

Cost = a + 5.125% a

45.87 = a + (5.125/100) a

45.87 = ( 100a + 5.125a) /100

4587 = 105.125a

a = 4587/105.125

a = $43.63

Sales tax = 45.87 - 43.63

= $2.24

The price of the coat is $43.63 and the sales tax is $2.24

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3 years ago
Create a 3rd degree polynomial function with one zero at three. Sketch a graph
DedPeter [7]

Answer:

f(x) =  {x}^{3}  - 9 {x}^{2}  + 27x - 27

Step-by-step explanation:

We want to create a third degree polynomial function with one zero at three.

In other words, we want to find a polynomial function with roots x=3 , multiplicity, 3.

Since x=3 is a solution, x-3 is the only factor that repeats thrice.

f(x) =  {(x - 3)}^{3}

We expand to get:

f(x) =  x( {x}^{2}  - 6x  + 9) - 3( {x}^{2}  - 6x + 9)

f(x) =  {x}^{3}  - 6 {x}^{2}  + 9x- 3 {x}^{2}   + 18x  - 27

This simplifies to:

f(x) =  {x}^{3}  - 9 {x}^{2}  + 27x - 27

See attachment for graph.

4 0
3 years ago
Which equation in rectangular form describes the parametric equations x=5-3cost and y=4+2sint?
Sidana [21]

Answer:

D. (-x+5)^2/9+(y-4)^2/4=1    (I assume there was a mistype)

Step-by-step explanation:

The first step is isolating the sine and cosine functions.

x=5-3cos(t)

x + 3cos(t) = 5

3cos(t) = 5 - x

cos(t) = (5 - x)/3

y=4+2sin(t)

y - 4 = 2sin(t)

(y - 4)/2 = sin(t)

Then, square at both sides of the equal sign

cos²(t) = (5 - x)²/3² = (5 - x)²/9

sin²(t) = (y - 4)²/2² = (y - 4)²/4

Recall the trigonometric identity and replace.

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8 0
3 years ago
4 SPARSE BAYESIAN LEARNING
Scorpion4ik [409]

Answer:

Answer:

WF=34

Step-by-step explanation:

Point I lies between points W and F.

It means point WI + IF = WF

SO WI + IF = WF

=

WF = 15x – 21

WI= 7x-3

IF= 2x+4

WI + IF = WF

7x-3 +2x+4= 15X-21

7x+2x-15x= -21-4+3

-6x = -22

X= -22/6

X= 11/3

So WF = 15x – 21

WI= 7x-3

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=

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X= -22/6

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7 0
3 years ago
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dedylja [7]

Answer:

The answer for ∠B = 68°

Step-by-step explanation:

Total angle in a triangle is 180° so you can just substract ∠A and ∠C from 180° :

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90° + ∠B + 22° = 180°

∠B = 180° - 90° - 22°

= 68°

6 0
3 years ago
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