(8+k³-6k⁴)+(4-3k⁴+8k²)​

Answer: The shirt's price after reduction = $ 84.15

Step-by-step explanation:

Given: Price of shirt= $ 85

Marked up percent = 10%

Reduced percent = 10%

Price after mark up = (Price of shirt) + 10% of (Price of shirt)

= $ (85+10% x 85)

= $ (85+(0.1) x (85))

= $ (85+8.5)

= $ 93.5

Price after 10% reduction = (Price after mark up)- 10% of (Price after mark up)

= $ (93.5-0.1 x 93.5)

= $ (93.5-9.35)

= $ 84.15

Hence, the shirt's price after reduction = $ 84.15

Answer:

wait, what is the question?

Answer:

Two sector of 90 degree cut out(90*2=180 degree) means semicircle

perimeter of circle= 2πr

= 2*22/7*3=18.85 cm

perimeter of semicircle=18.85/2=9.42 cm approx

Answer:

0.64, she spent 64% of her money.

Step-by-step explanation:

Answer:

8 liters

Step-by-step explanation:

because after pouring 2 liters bucket was full so we wiil minus 2 from 10

Answer:

8 + x = 10

x. = 10 - 8

x. = 2 liters

Answer:

I recently got it on my xbox

Step-by-step explanation:

I usually play with the family my name on xbox is wood  

Answer:

me

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Each month, the person seems to grow taller. So, there IS a positive association between height and age.

Answer:

A

Step-by-step explanation:

Answer: 7

Step-by-step explanation:

3+6^(2) / 9

3 + 36 / 9

3   +   4

    7

Answer:

-5/10 or -1/2

Step-by-step explanation:

Answer:

The amount by which her monthly payment will be lower if she purchases the points is $57.12.

Step-by-step explanation:

Since Alana will make a 20% down payment, the mortgage loan balance can be calculated as follows:

Mortgage loan balance = Mortgage amount – Down payment = $160,000 – ($160,000 * 20%) = $160,000 - $32,000 = $128,000

The amount by which her monthly payment will be lower if she purchases the points can now be calculated using the following steps:

Step 1: Calculation of monthly payment without purchasing 3 points

The monthly payment can be calculated using the formula for calculating loan amortization as follows:

P = (A * (r * (1 + r)^n)) / (((1+r)^n) - 1) .................................... (1)

Where,

P = monthly payment without purchasing 3 points = ?

A = Mortgage loan balance = $128,000

r = monthly interest rate = 4.9% / 12 = 0.049 / 12 = 0.00408333333333333

n = number of payment months = 30 years * 12 months = 360

Substituting all the figures into equation (1), we have:

P = ($128,000 * (0.00408333333333333 * (1 + 0.00408333333333333)^360)) / (((1 + 0.00408333333333333)^360) - 1)

P = $679.33

Step 2: Calculation of monthly payment if she purchases 3 points

Typically, each points purchased reduces the interest rate by 0.25%. Since Alana is considering a purchase of 3 points, her new interest rate can then be calculated as follows:

New interest rate = 4.9% - (0.25% * 3) = 4.9% - 0.75% = 4.15%

The monthly payment can also be calculated using the formula for calculating loan amortization as follows:

P3 = (A * (r * (1 + r)^n)) / (((1+r)^n) - 1) .................................... (2)

Where,

P3 = monthly payment if 3 points is purchased = ?

A = Mortgage loan balance = $128,000

r = new monthly interest rate = 4.15% / 12 = 0.0415 / 12 = 0.00345833333333333

n = number of payment months = 30 years * 12 months = 360

Substituting all the figures into equation (2), we have:

P3 = ($128,000 * (0.00345833333333333 * (1 + 0.00345833333333333)^360)) / (((1 + 0.00345833333333333)^360) - 1)

P3 = $622.21

Step 3: Calculation of the amount by which her monthly payment will be lower if she purchases the points

This can be calculated as follows:

Amount of reduction = P - P3 = $679.33 - $622.21 = $57.12

Therefore, the amount by which her monthly payment will be lower if she purchases the points is $57.12.

Answer:

28.87

Step-by-step explanation:

i just did the quiz

Answer:

undefined

Step-by-step explanation:

Since it is a vertical line and there is no run only rise.

Answer:

plot a point at (0,-8) and another one at (5,-7)

Step-by-step explanation:

connecting the dots would create the slope

Answer:

Approximately 11 feet.

Step-by-step explanation:

Let the length of the third side of the triangle be represented by x. Applying Cosine rule, we have:

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2abCos C

⇒ [tex]x^{2}[/tex] = [tex]8^{2}[/tex] + [tex]12^{2}[/tex] - 2(8 x 12) Cos[tex]65^{o}[/tex]

       = 64 + 144 - 192 x 0.42262

       = 208 - 81.143

       = 126.857

x = [tex]\sqrt{126.857}[/tex]

  = 11.2631

x ≅ 11

The length of the third side of the triangle is approximately 11 feet.

Answer:

The rate of change of the height is 0.021 meters per minute

Step-by-step explanation:

From the formula

[tex]V = \frac{1}{3}\pi r^{2}h[/tex]

Differentiate the equation with respect to time t, such that

[tex]\frac{d}{dt} (V) = \frac{d}{dt} (\frac{1}{3}\pi r^{2}h)[/tex]

[tex]\frac{dV}{dt} = \frac{1}{3}\pi \frac{d}{dt} (r^{2}h)[/tex]

To differentiate the product,

Let r² = u, so that

[tex]\frac{dV}{dt} = \frac{1}{3}\pi \frac{d}{dt} (uh)[/tex]

Then, using product rule

[tex]\frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h\frac{du}{dt}][/tex]

Since [tex]u = r^{2}[/tex]

Then, [tex]\frac{du}{dr} = 2r[/tex]

Using the Chain's rule

[tex]\frac{du}{dt} = \frac{du}{dr} \times \frac{dr}{dt}[/tex]

∴ [tex]\frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h(\frac{du}{dr} \times \frac{dr}{dt})][/tex]

Then,

[tex]\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}][/tex]

Now,

From the question

[tex]\frac{dr}{dt} = 7 m/min[/tex]

[tex]\frac{dV}{dt} = 236 m^{3}/min[/tex]

At the instant when [tex]r = 99 m[/tex]

and [tex]V = 180 m^{3}[/tex]

We will determine the value of h, using

[tex]V = \frac{1}{3}\pi r^{2}h[/tex]

[tex]180 = \frac{1}{3}\pi (99)^{2}h[/tex]

[tex]180 \times 3 = 9801\pi h[/tex]

[tex]h =\frac{540}{9801\pi }[/tex]

[tex]h =\frac{20}{363\pi }[/tex]

Now, Putting the parameters into the equation

[tex]\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}][/tex]

[tex]236 = \frac{1}{3}\pi [(99)^{2} \frac{dh}{dt} + (\frac{20}{363\pi }) (2(99)) (7)][/tex]

[tex]236 \times 3 = \pi [9801 \frac{dh}{dt} + (\frac{20}{363\pi }) 1386][/tex]

[tex]708 = 9801\pi \frac{dh}{dt} + \frac{27720}{363}[/tex]

[tex]708 = 30790.75 \frac{dh}{dt} + 76.36[/tex]

[tex]708 - 76.36 = 30790.75\frac{dh}{dt}[/tex]

[tex]631.64 = 30790.75\frac{dh}{dt}[/tex]

[tex]\frac{dh}{dt}= \frac{631.64}{30790.75}[/tex]

[tex]\frac{dh}{dt} = 0.021 m/min[/tex]

Hence, the rate of change of the height is 0.021 meters per minute.

Answer:

The total cost of an item can be calculated by adding the sales tax to the retail cost:

Step-by-step explanation:

Sales tax = 7%

                = 7/100

                 = 0.07

Total cost of an iten can be calculated by adding the sales tax to the retail cost.

i.e. c + .07c

Therefore, the total cost of an item can be calculated by adding the sales tax to the retail cost:

Answer:

no

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = mx + b

m = slope

b = intercept

Answer:

Step-by-step explanation:

Given the expression, 32/52

Juan need to divide the numerator and the denominator by the greatest common factor

For 32;

32 = 8 * 4

For 53

52 = 13 * 4

Find the ratio

32/52 = (8*4)/(13*4)

32/52 = 8/13

Since 4 is common to both factors, Hence the greatest common factor is 4

Answer:The slope represents ur mom

Step-by-step explanation:

Answer:

400 is the answer

Step-by-step explanation: do the math

Answer: y+3= -1/4(x-8)

Step-by-step explanation: so if y-y1=m(x-x1) and y1= -3 and x1=8 and m=(-1/4) u just plug in those number to the equation

Answer:

can't help u..

Step-by-step explanation:

i am so sorry

xbxnxnxn

xnzjznzn

sjziaowoo1i3uo

PLZ MARK ME AS BRAINLIST

Answer:

sqrt166, 13, 14

Step-by-step explanation:

Answer:

5,000

Step-by-step explanation:

no interest‍♀️

Answer: D

Step-by-step explanation: i did the math

Answer:

(0, 5)

Step-by-step explanation:

Answer:

Step-by-step explanation:

4 z ^3 √ y / x ^2 y