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3 years ago

7

A shirt with the cost price $80 was discounted by 10% what is the amount of the discount and what is the discounted price of the

shirt

2 answers:

Sophie [7]3 years ago

7 0

Answer:

72.00

Step-by-step explanation:

umm cant really explain

Iteru [2.4K]3 years ago

3 0

The answer is $72 because if you turn 10% into a decimal it is .10 and .10 times 80 is 8 and 8 minus 80 is 72

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A woman pushes a lawn mower with a constant force of 112 Newtons at an angle of 37◦ with respect to the horizontal. The lawn mow

user100 [1]

Answer:

1.0.024 hp

Step-by-step explanation:

We are given that

Constant force=F=112 N

$\theta=37^{\circ}$

Speed of lawn mower,v=20 cm/s= $20\times 10^{-2} m/s$

1 m=100 cm

1 hp=746 watt

We have to find the power output

Force applied by women on lawn mower= $Fcos\theta=112cos 37^{\circ}$

Force applied by women on lawn mower= $89.45$ N

Power output,P= $Fv$

Using the formula

Power output= $89.45\times 20\times 10^{-2}=17.89 watt$

Power output,P= $\frac{17.89}{746}=0.024$ hp

Hence, option 1 is true

5 0

4 years ago

◕ A dealer sold a photocopy machine at Rs 4200 with 13% VAT to a retailer. The retailer added transportation cost of Rs 250 , pr

satela [25.4K]

<u>Given </u><u>:</u><u>-</u>

A dealer sold a photocopy machine at Rs 4200 with 13% VAT to a retailer.
The retailer added transportation cost of Rs 250 , profit Rs 300 and local tax Rs 150 and sold to consumer .
Customer has to pay 13% VAT .

<u>To </u><u>Find </u><u>:</u><u>-</u>

Amount to be paid by the customer .

<u>Sol</u><u>u</u><u>tion </u><u>:</u><u>-</u>

Here , according to the question ,

$\sf\dashrightarrow Cost\ of \ machine \ = \ Rs 4200$

$\sf\dashrightarrow VAT = 13\%$

Therefore cost after adding VAT ,

$\sf\dashrightarrow Cost = Cost_{initial}+13\% of Cost_{initial}\\$

$\sf\dashrightarrow Cost = Rs4200 + Rs 4200 \times \dfrac{13}{100}\\$

$\sf\dashrightarrow Cost = Rs4200 + Rs546\\$

$\sf\dashrightarrow \bf{ Cost = Rs 4746}$

Again the values added by the retailer before selling to customer ,

Transport = Rs 250
Profit = Rs 300
Tax = Rs 150

Therefore total cost after adding these ,

$\sf\dashrightarrow Cost = Rs( 4746+ 250+ 300 + 150 )\\$

$\sf\dashrightarrow\bf { Cost = Rs 5446}$

Again Selling price after addition of 13% VAT ,

$\sf\dashrightarrow SP = Rs 5446 + 13\% \ of \ Rs 5446\\$

$\sf\dashrightarrow SP = Rs 5446 + \dfrac{13}{100}\times 5446 \\$

$\sf\dashrightarrow SP = Rs (5446 + 707.98) = Rs ( 5446 + 708)\\$

$\sf\dashrightarrow \underline{\underline{\bf SP_{to\ the \ customer} = Rs 6154}}$

<u>Hence </u><u>the </u><u>amount </u><u>to </u><u>be </u><u>paid </u><u>by </u><u>the </u><u>customer </u><u>is </u><u>Rs </u><u>6</u><u>1</u><u>5</u><u>4</u><u> </u><u>.</u>

3 0

2 years ago

Read 2 more answers

Evaluate the following in polar and standard forms. Select all answers that apply. [3(cos(27°) isin(27°))]^5

Roman55 [17]

Using <span>De Moivre's formula
</span>
if z = a ( cos x + i sin x ) ⇒⇒⇒ ∴ z^n = a^n ( cos nx + i sin nx)

Part (1)
∴ [ 3 (cos 27° + i sin 27°) ]⁵ = (3⁵) ( cos 5*27° + i sin 5*27°)
= 243 ( cos 135° + i sin 135°) ⇒⇒⇒⇒ Polar form
=================================
Part (2)

The angle 135° in the second quadrant ⇒ sin is (+) and cos is (-)
and its reference angle = 180° - 135° = 45°
sin 45° = cos 45°= 1/√2 = (√2)/2
∴ sin 135° = (√2)/2    and cos 135° = -(√2)/2
∴ 243 ( cos 135° + i sin 135°) = 243 [ -(√2)/2 + i (√2)/2 ]

= - 243(√2)/2 + 243 (√2)/2 i ⇒⇒⇒⇒ standard form
===========================================
The correct answers are options (1) and (3)

option (1) ⇒⇒⇒ 243 ( cos 135° + i sin 135°) ⇒⇒⇒⇒ Polar form
option (3) ⇒⇒⇒ - 243(√2)/2 + 243 (√2)/2 i     ⇒⇒⇒⇒ standard form

7 0

4 years ago

Write 36% as a simplest fraction

solniwko [45]

Answer:

9/25 is the simplest fraction

5 0

2 years ago

In a parallelogram whose area is 15, the base is represented by x+7 and the altitude x-7. Find the base of parallelogram.

Sati [7]

Area = (base)*(height)
15 = (x+7)(x-7)
(x+7)(x-7) = 15
x^2 - 49 = 15
x^2 - 49+49 = 15+49
x^2 = 64
sqrt(x^2) = sqrt(64)
x = 8 ... note that x can't be negative

If x = 8, then the base is...
x+7 = 8+7 = 15

Therefore the base is 15 units.
(the height is x-7 = 8-7 = 1 unit)

7 0

3 years ago