WRITE THE PRODUCT AS THE PRODUCT OF A
WHOLE NUMBER AND A UNIT FRACTION
2 x 5/8

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.

Answer:

.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

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 .

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.

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

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.

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

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

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.

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]