The proceeds of a $7,500.00, 10 percent simple discounted note for 85 days is

Answer:

38.25 square inches

Step-by-step explanation:

Length = 9 inches

width = 4.5 inches

Area of Rectangle = Length × width

Area of Rectangle = 9 × 4.5 = 38.25

Answer:

Step-by-step explanation:

1, sec theta  * sin theta = 1/cos * sin = sin/cos =tan theta

2. cosec theta * cos theta = 1/ sin * cos = cos/sin = cot theta

3, tan theta * cosec theta =sin/cos * 1/sin = 1/cos

4, cot theta * sec theta = cos /sin * 1/cos= 1/sin

5, 1 - cos^2 theta = sin ^2 theta

6, sec^2 theta - 1 =tan ^2 theta

7 , cosec^2 theta - cot^2 theta = 1

8, 1 - sin^2 theta = cos^2

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Answer:

Area=57.75 m squared

Step-by-step explanation:

Area= L x W

Area= 11 x 5.25

Area=57.75 or 57 3/4

Answer:

Synthetic division is another way to divide a polynomial by the binomial x - c , where c is a constant.

Step 1: Set up the synthetic division. ...

Step 2: Bring down the leading coefficient to the bottom row.

Step 3: Multiply c by the value just written on the bottom row. ...

Step 4: Add the column created in step 3.

Step-by-step explanation:

hope this helps you :)

Answer:

x^2-x+1

Step-by-step explanation:

Hope that helps!!!

Answer:

m= 4

Step-by-step explanation:

3m +2n= 16 -----(1)

m -2n= 0 -----(2)

From (2):

m= 2n -----(3) (+2n on both sides)

subst. (3) into (1):

3(2n) +2n= 16

6n +2n= 16

8n= 16 (simplify)

n= 16 ÷8

n= 2

subst. n=2 into (3):

m= 2(2)

m= 4

Answer:

38.3 recurring

Step-by-step explanation:

[tex]115 \ 3[/tex]

g = 9y

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The missing factor of the given equation is 9y.

The factors of the expressions are the simplified expression which when multiplied results in the original expression.

Divide 18y³ by 2y² to determine the missing factor.

G=18y³/2y²

Express the numerator and denominator in the factored form and simplify.

G=(2·3·3·y·y·y)/(2·y·y)

G=3·3·y

G=9y

So, the missing factor of the given equation is 9y.

To learn more about factor click:

https://brainly.com/question/19386208

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Answer:

y = -1/3x - 11/3

Step-by-step explanation:

line a: y = -1/3x - 5

3 = -1/3(2) - b

3 = -2/3 - b

3 + 2/3 = b

3/1 + 2/3 = b

9/3 + 2/3 = b

11/3 = b

Answer:

Sophia's monthly spent on food is $300 while she wants to spend $245.

As her real monthly spent is greater than what she wants, she is not meeting the 10% criteria. In fact, she exceed her budget for month

Step-by-step explanation:

Net income of Sophia = $2,450

% of money she wants to spend on food = 10% of Net income of Sophia

thus,

Amount of money she wants to spend on food in $

           =  10% of $2,450

           = 10/100 * $2,450 = $245

Hence, Sophia wants to spend $245 in a month on food.

__________________________

it is given that last week she spent $75 on food

thus, weekly spent on food = $75

as there are 4 weeks in a months

money spent by her in 4 weeks = $75* 4 = $300

Thus, her monthly spent on food is $300 while she wants to spend $245.

As her real monthly spent is greater than what she wants, she is not meeting the 10% criteria. In fact, she exceed her budget for month

Answer:

4/1000

Step-by-step explanation:

the value of 4 is 0.004 which in fraction form is 4/1000

Answer: 3.5

Step-by-step explanation:

Answer:

-3/2

Step-by-step explanation:

pick any 2 points on the graph. I chose (80,10) and (60, 40) because they are easy to identify.

40- 10 = 30

60-80 = -20

slope = -30/20 or -3.2

Answer:

(4, -4)

Step-by-step explanation:

Since the point (4, -4) rests on the line y=-x, it does not change positions and stays in the same spot.

Answer:

[tex]2a^2\sqrt{35a}[/tex]

Step-by-step explanation:

[tex]\sqrt{2a} .\sqrt{14a^3} .\sqrt{5a} \\=\sqrt{2a\times 14a^3\times 5a}\\=\sqrt{140a^5}\\=2a^2\sqrt{35a}\\[/tex]

Answer:

8+92=100

Step-by-step explanation:

You can get that by subtracting 8 from 100 :)

Answer:

if the number ur adding it to is 991 and u add 8 you will get 1,000

Step-by-step explanation:

The answer is 10√2

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

S: 1st quadrant

K:2nd quadrant

W:3rd quadrant

C: y-axis

Step-by-step explanation:

Answer:

Debit Salaries Expense $480 and credit Salaries Payable $480

Step-by-step explanation:

Firstly, we will need to calculate the salary expense of the company on these two employees.

Mathematically, that would be

2 employees * 2 days * 120/employee/day = 2 * 2 * 120 = $480

Thus, the month-end adjusting entry to record the salaries earned but unpaid is that salaries expense will be debited $480 and salaries payable will be credited $480

Answer:

surface area of cylinder= 2πrh + 2πr²

2×22/7×1×8+2×22/7×1×1

352. + 44

7. 7

= 50.3 + 6.25

= 56.55cm²

Answer:

None

Step-by-step explanation:

In this case we must pass everything to the same unit of measure, we know that the total is 5 liters of soft drink and that each plastic cup has a capacity of 250 cubic meters.

We know that 1 liter is equivalent to 0.001 cubic meters, therefore we will pass the cubic meters of the plastic cup to liters, like this:

250 m ^ 3 * 1 L / 0.001 m ^ 3 = 250,000 L

Therefore we realize that the glass has a very large capacity, which suggests that there is an error in the statement, maybe it is not a cubic meter but a cubic centimeter, but as it is, it cannot serve any plastic cup because the capacity of this cup is very large with respect to the total amount of soft drink.

Answer:

The answer would be 116

Step-by-step explanation:

The angles X and Z would be equal at 32 so multiply them by 2 and you would get 64 subtract 64 from 180 and you would get 116

Answer:

Y =116

Step-by-step explanation:

We know that angle Z = angle X since they are base angles  and  the sides are the same length

The sum of the angles of a triangle are 180

X+Y+Z = 180

32+ Y + 32 = 180

64+Y=180

Y = 180-64

Y =116

Answer:

A ≈ 21.16m²

Step-by-step explanation:

Answer:

21.16 m^2

Step-by-step explanation:

If the perimeter is 18.4 m, then the length of a side is 18.4 m / 4, or 4.6 m.

Then the area of the square is (4.6 m)^2, or 21.16 m^2

Answer:

21 glasses of milk

Step-by-step explanation:

7 days in 1 week

3 glasses of milk each day

7 * 3 = 21 glasses

Answer:

21

Step-by-step explanation:

3 glasses of milk every day times the days in a week, so 7 equals 21

7x3= 21

Answer:

hypotenuse= 2[tex]\sqrt{5}[/tex]

Step-by-step explanation:

the triangle is equal tow side so it is two side =5 cm

then the hypotenuse by Phitagors theory the triangle hypotenuse =

[tex]\sqrt{5^{2} +5^{2} }[/tex] = 2[tex]\sqrt{5}[/tex]

Answer:

1. integers

2. rational no.

The right answer is 113.04m^2

please see the attached picture for full solution

Hope it helps

Answer:

2.1 s

Step-by-step explanation:

1. Write the equation

The formula for vertical displacement is

y =  h + v₀t - ½gt²

h = 50     ft

v₀ = 10     ft/s

g = 32.2 ft/s²

Insert the values

y = 50 + 10t - ½ × 32.2t²

y = 50 + 10t - 16.1t²

The graph below shows the height as a function of time.

2. Solve the equation

a = -16.1; b = 10; c = 50

[tex]\begin{array}{rcl}x & = & \dfrac{-b\pm\sqrt{b^2 - 4ac}}{2a}\\\\& = & \dfrac{-10\pm\sqrt{10^2-4(-16.1) \times 50}}{2(-16.1)}\\\\& = & \dfrac{-10\pm\sqrt{100 - (-3220)}}{-32.2}\\\\& = & \dfrac{-10\pm\sqrt{100 + 3220}}{-32.2}\\\\& = & \dfrac{-10\pm\sqrt{3300}}{-32.2}\\\\& = & \dfrac{-10\pm 57.62}{-32.2}\\\\\end{array}[/tex]

[tex]\begin{array}{rcl}x = \dfrac{-10 + 57.62}{-32.2}& \qquad & x = \dfrac{-10 -57.62}{-32.2}\\\\x = \dfrac{47.62}{-32.2}& \qquad & x = \dfrac{-67.62}{-32.2}\\\\x = -1.479& \qquad & x =\textbf{ 2.1 s}\\\\\end{array}\\\text{It takes the stunt double $\large \boxed{\textbf{2.1 s}}$ to reach the ground.}[/tex]

Answer:

10

Step-by-step explanation: