admin

1 month ago

Guest #1192500

1 month ago

Answer: R204.06

Step-by-step explanation:

Cost of clock = R179

Value Added Tax = 14%

The price of the clock will be the addition of the cost of the clock and the value added tax. This will be:

= R179 + (14% × R179)

= R179 + (0.14 × R179)

= R179 + R25.06

= R204.06

Therefore, the price of the clock is R204.06.

Question

W.8

w 11

a Write a polynomial that represents the area of the lawn.

b. Write a polynomal that represents the perimeter of the lawn

w 11

a Write a polynomial that represents the area of the lawn.

b. Write a polynomal that represents the perimeter of the lawn

Solution 1

**Answer:**

.

**Step-by-step explanation:**

Question

These triangles are similar. The equation for line AB is given. What is the slope of CD?

Solution 1

**Answer:**

B

**Step-by-step explanation:**

Question

What is the common difference between successive terms in the sequence?

2, 8, 14, 20, 26, ...

-6

-4

ООО

4

о в

2, 8, 14, 20, 26, ...

-6

-4

ООО

4

о в

Solution 1

Let be a1 = 8 and a2 = 8 [ From question ]

We have to find out common differences which denoted by letter **d** .

d = a2 - a1 [ Formula ]

= 8 - 2

= 6

**Thus,the**** ****common**** ****difference**** ****between**** ****successive terms in the sequence**** ****is**** ****6**** ****.**

Solution 2

**Answer:**

6.

**Step-by-step explanation:**

We have to find out common differences which denoted by letter d .

d = a2 - a1 [ Formula ]

= 8 - 2

= 6

Also,

2+6=8 +6=14 +6=20 +6=26

So, It's Added Up By 6.

Question

A photocopy machine was sold at 12% discount with 13% VAT. If the customer paid Rs. 3,57,984 then find VAT amount and discount amount.

Solution 1

Answer:

See the answers below

Step-by-step explanation:

Given data

Discount=12%

VAT= 13%

Amount paid= Rs. 3,57,984

The amount of VAT

=13/100*3,57,984

=0.13*357984

= Rs. 46537.92

The amount of discount

=12/100*3,57,984

=0.12*357984

= Rs. 42958.08

Question

According to the recent poll, 22 1/4% of the people polled said that they approved of the city plan to expand the library. If 1004 people was polled, about how many were in favor of the expansion?

Solution 1

**Answer:**

Some 224 people were in favor of the expansion.

**Step-by-step explanation:**

Given that, according to the recent poll, 22 1/4% of the people polled said that they approved of the city plan to expand the library, if 1004 people was polled, to determine how many were in favor of the expansion should be done the following calculation:

1/4 = 0.25

100 = 1004

22.25 = X

1004 x 22.25 / 100 = X

223.39 = X

Thus, some 224 people were in favor of the expansion.

Question

HELP I WILL GIVE BRANNIEST

Solution 1

**Answer:**

0.75s , 15ft

**Step-by-step explanation:**

Use Derivatives,

Notice that the above function is a quadratic curve, meaning it has either a maximum or minimum point, which is the turning point and that is what we are solving for to find a 'max' or 'min'.

[tex]\frac{d}{dt}[/tex]h = [tex]\frac{d}{dt}[/tex](-16t² + 24t + 6)

[tex]\frac{dh}{dt}[/tex] = -32t + 24

At turning points (max/min),

the gradient is 0 meaning,

[tex]\frac{dh}{dt}[/tex] = -32t + 24 = 0.

t = 24/32 = 3/4

so time = 0.75 second

Substitute this t into the function,

we get h = -16 * 0.75 *0.75 + 24 * 0.75 + 6 = 15ft

Question

The distance around a meteor crater is 9,799 ft. Find the diameter of the crater. Use 22 7 for π.

Solution 1

Answer:

3118.7ft

Step-by-step explanation:

Given data

Circumference= 9,799 ft

We want to find the diameter, but we need to get the radius

C= 2πr

9,799=2*22/7*r

9,799=2*3.142*r

9,799=6.284r

r=9,799/6.284

r= 1559.35

Hence the diameter is =1559.35*2

Diameter=3118.7ft

Question

help me out please and no links

Solution 1

9514 1404 393

**Answer:**

- 0.75 seconds
- 15 feet

**Step-by-step explanation:**

As suggested by the hint, a graph answers the questions nicely.

**It will take 0.75 seconds to reach the maximum height of 15 feet**.

Question

Write the standard equation of the circle with center (-12, – 7) that passes through the point (-3,7).

Solution 1

**Answer:**

[tex](x + 12)^2 + (y + 7)^2 = 277[/tex]

**Step-by-step explanation:**

**Equation of a circle:**

The equation of a circle with center [tex](x_0,y_0)[/tex] is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In which r is the radius.

**Center (-12, – 7)**

This means that [tex]x_0 = -12, y_0 = -7[/tex]. So

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

[tex](x - (-12))^2 + (y - (-7))^2 = r^2[/tex]

[tex](x + 12)^2 + (y + 7)^2 = r^2[/tex]

**Passes through the point (-3,7).**

This means that we use [tex]x = -3, y = 7[/tex] to find the radius squared. So

[tex](x + 12)^2 + (y + 7)^2 = r^2[/tex]

[tex](-3 + 12)^2 + (7 + 7)^2 = r^2[/tex]

[tex]81 + 196 = r^2[/tex]

[tex]r^2 = 277[/tex]

**The equation of the circle is:**

[tex](x + 12)^2 + (y + 7)^2 = r^2[/tex]

[tex](x + 12)^2 + (y + 7)^2 = 277[/tex]

Question

A car travels 240 miles on 15 gallons of gas. How far can the car travel on 20 gallons of gas?

Solution 1

**Step-by-step explanation:**

Let x=distance traveled on 20 gal

One approach is to set up a simple ratio: 15 is to 240 as 20 is to x and this is written as follows:

15/240=20/x cross multiply (actually we are multiplying both sides by 240x)

15x=240*20=4800 divide both sides by 15

x=320 mi------------------------------------distance travelled on 20 gal

Another approach would be to determine the mileage the car gets in miles/gal:

If the car goes 240 mi on 15 gal, then it goes 240/15 or 16 mi on 1 gal.

Soooooooooo our car gets 16 mi/gal and it can go 16*20 or 320 mi on 20 gal

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