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3 years ago

Sherri bought her daughter a microscope for her birthday. If it cost $79.99 plus 5% tax, how much did she have to pay for it?

Mathematics

2 answers:

Eduardwww [97]3 years ago

8 0

Answer:

Around 84 dollars

Step-by-step explanation:

djverab [1.8K]3 years ago

7 0

Answer:

$83.99

Step-by-step explanation:

Before Tax Price: $79.99

Sale Tax: 5.00% or $4.00

After Tax Price: $83.99

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B. What are the second and third terms of this arithmetic sequence? 80, 페, 페, 125,...........

nataly862011 [7]

The 2nd and 3rd term of an AP is found to be (a₂ = 95) and (a₃ = 110).

<h3>What is the sequence of AP arithmetic progression?</h3>

In Arithmetic Progression, the difference between the two numerical orders is a fixed number (AP). Arithmetic Sequence is another name for it.

We'd come across a few key concepts in AP that had been labeled as:

The first term (a)
Common difference (d)
Term nth (an)
The total of first n terms (Sn)

As shown below, the AP can also be referred to in terms of common differences.

The following is the procedure for evaluating an AP's n-th term: an = a + (n − 1) × d
The arithmetic progression sum is as follows: Sn = n/2[2a + (n − 1) × d].
Common difference 'd' of an AP: d = a2 - a1 = a3 - a2 = a4 - a3 = ...... = an - an-1.

Now, the given sequence is; 80, _, _, 125.

The series comprises of four given terms.

Let the first term be 'a₁' = 180.

The second term be 'a₂'.

The third term be 'a₃'.

And, the fourth term is 'a₄' = 125.

Use the nth term formula to find the common difference 'd'.

n-th term: an = a + (n − 1) × d

a₄ = a + (n - 1)d

125 = 80 + (4 - 1)d

45 = 3d

d = 15

Thus, the common difference is 15.

The second term is calculated as;

a₂ = a₁ + d

a₂ = 80 + 15

a₂ = 95.

The third term is estimated as;

a₃ = a₂ + d

a₃ = 95 = 15

a₃ = 110

Therefore, the 2nd and third term of an AP is computed as 95 and 110.

To know more about Arithmetic Sequence, here

brainly.com/question/24989563

#SPJ4

8 0

1 year ago

The set of points (-3, 4), (-1, 1), (-3,-2), and (-5,1) identifies the vertices of a quadrilateral. Which is the most specific d

KIM [24]

Answer:

Option (4). Rhombus

Step-by-step explanation:

From the figure attached,

Distance AB = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

= $\sqrt{(1-4)^2+(-5+3)^2}$

= $\sqrt{(-3)^2+(-2)^2}$

= $\sqrt{13}$

Distance BC = $\sqrt{(4-1)^2+(-3+1)^2}$

= $\sqrt{9+4}$

= $\sqrt{13}$

Distance CD = $\sqrt{(-2-1)^2+(-3+1)^2}$

= $\sqrt{9+4}$

= $\sqrt{13}$

Distance AD = $\sqrt{(1+2)^2+(-5+3)^2}$

= $\sqrt{9+4}$

= $\sqrt{13}$

Slope of AB ( $m_{1}$ ) = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

= $\frac{4-1}{-3+5}$

= $\frac{3}{2}$

Slope of BC ( $m_{2}$ ) = $\frac{4-1}{-3+1}$

= $-\frac{3}{2}$

If AB and BC are perpendicular then,

$m_{1}\times m_{2}=-1$

But it's not true.

[ $m_{1}\times m_{2}=(\frac{3}{2})(-\frac{3}{2})$ = - $\frac{9}{4}$ ]

It shows that the consecutive sides of the quadrilateral are not perpendicular.

Therefore, ABCD is neither square nor a rectangle.

Slope of diagonal BD = $\frac{4+2}{-3+3}$

= Not defined (parallel to y-axis)

Slope of diagonal AC = $\frac{1-1}{-1+5}$

= 0 [parallel to x-axis]

Therefore, both the diagonals AC and BD will be perpendicular.

And the quadrilateral formed by the given points will be a rhombus.

5 0

3 years ago

A restaurant bought 48.5 pound of apples from a local orchard. The next month, the restaurant bought another 65.3 pounds of appl

Tema [17]

48.5
+65.3
+24.5

=139.3 pounds

6 0

3 years ago

What is the degree of 5x3 + 3x2 - 4x+ 1?

katrin [286]

Answer:

3rd

Step-by-step explanation:

The degree is the highest exponent that the polynomial has.

This one has a 3, 2, 1, and 0 degree, and out of those 3 is the largest, so we know the overall degree is 3rd degree.

6 0

3 years ago

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How do u draw a concave pentagon with exactly one pair of perpendicular sides

Nutka1998 [239]

Brain dump....
have you ever heard the expression cave in ? when u see something (cave in) it looks like crater right?
so just like that you know to draw to crater like objects perpendicular from each other
perpendicular means <span>at an angle of 90° to a given line, plane, or surface.</span>

6 0

3 years ago

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