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4 years ago

I have $10.80 to spend. If I buy 2 books costing $4.95 each, how much money will I have left?

2 answers:

5 0

First you multiply 4.95 times 2 to get the total of both of them or you can add 4.95 + 4.95 after you do that and you get 9.9 then you subtract 9.9 from 10.80 and get .90 cents

balu736 [363]4 years ago

3 0

$2*4.95=9.9$ and $10.8-9.9=0.9$

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Based on the polynomial remainder theorem, what is the value of the function when x = 3?

dsp73

Answer:

Step-by-step explanation:

Evaluate x^4 + 3 x^3 - 6 x^2 - 12 x - 8 where x = 3:

x^4 + 3 x^3 - 6 x^2 - 12 x - 8 = 3^4 + 3×3^3 - 6×3^2 - 12×3 - 8

3^3 = 3×3^2:

3^4 + 3×3×3^2 - 6×3^2 - 12×3 - 8

3^2 = 9:

3^4 + 3×3×9 - 6×3^2 - 12×3 - 8

3×9 = 27:

3^4 + 3×27 - 6×3^2 - 12×3 - 8

3^2 = 9:

3^4 + 3×27 - 69 - 12×3 - 8

3^4 = (3^2)^2:

(3^2)^2 + 3×27 - 6×9 - 12×3 - 8

3^2 = 9:

9^2 + 3×27 - 6×9 - 12×3 - 8

9^2 = 81:

81 + 3×27 - 6×9 - 12×3 - 8

3×27 = 81:

81 + 81 - 6×9 - 12×3 - 8

-6×9 = -54:

81 + 81 + -54 - 12×3 - 8

-12×3 = -36:

81 + 81 - 54 + -36 - 8

81 + 81 - 54 - 36 - 8 = (81 + 81) - (54 + 36 + 8):

(81 + 81) - (54 + 36 + 8)

| 8 | 1

+ | 8 | 1

1 | 6 | 2:

162 - (54 + 36 + 8)

| 1 |

| 5 | 4

| 3 | 6

+ | | 8

| 9 | 8:

162 - 98

| | 15 |

| 0 | 5 | 12

| 1 | 6 | 2

- | | 9 | 8

| 0 | 6 | 4:

Answer: 64

5 0

3 years ago

Read 2 more answers

Gloria deposited $500 into a bank account that earned 7.5% simple interest each year. She earned $225 in interest before closing

pav-90 [236]

T = 6 years

Equation:
t = (1/r)(A/P - 1)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 7.5%/100 = 0.075 per year,
then, solving our equation

t = (1/0.075)((725/500) - 1) = 6
t = 6 years

The time required to get
a total amount, principal plus interest, of $ 725.00
from simple interest on a principal of $ 500.00
at an interest rate of 7.5% per year
is 6 years.

5 0

4 years ago

An elliptical-shaped path surrounds a garden, modeled by quantity x minus 20 end quantity squared over 169 plus quantity y minus

Margaret [11]

The <em>maximum</em> distance between any two points of the ellipse is 34 feet.

<h3>Procedure - Determination of the distance between two points of a ellipse</h3>

The maximum distance between any two points of a ellipse is the <em>maximum</em> distance between the ends of the ellipse along the <em>longest</em> axis, which is parallel to the y-axis in this case.

In addition, the equation of the ellipse in <em>standard</em> form is defined by this formula:

$\frac{(x-h)^{2}}{a^{2}} + \frac{(y-k)^{2}}{b^{2}} = 1$ (1)

Where:

$h, k$ - Coordinates of the center of the ellipse.
$a$ , $b$ - Lengths of each semiaxis.

Hence, the maximum distance ( $d_{max}$ ), in feet, is calculated by this formula:

$d_{max} = 2\cdot b$ (2)

If we know that $b = 17$ , then the maximum distance between any two points of the ellipse is:

$d_{max} = 2\cdot (17\,ft)$

$d_{max} = 34\,ft$

The <em>maximum</em> distance between any two points of the ellipse is 34 feet. $\blacksquare$

<h3>Remark</h3>

The statement is incomplete and poorly formatted, correct form is presented below:

<em>An elliptical-shaped path surrounds a garden, modeled by </em> $\frac{(x-20)^{2}}{169} + \frac{(y-18)^{2}}{289} = 1$ <em>, where all measurements are in feet. What is the maximum distance between any two points of the path.</em>