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2 years ago

Solve. 3x^2 – 24x = –12

1 answer:

5 0

3x(x-8)=-12
x(x-8)=-4
x²-8x+4=0

USE QUADRATIC FORMULA:

x=(−b±√(b2−4ac))/2a
x=4+2√3 or x=4−2√3

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At what rate per annum ci will RS 2000 amount to RS 2315.35 in 3 years

Mashutka [201]

ANSWER:

Rate per annum at which CI will amount from RS 2000 to RS 2315.35 in 3 years is 5%

SOLUTION:

Given,

P = RS 2000

C.I = RS 2315.35

T = 3 years

We need to find the rate per annum. i.e. R = ?

We know that,

When interest is compound Annually:

$Amount $=\mathrm{P}\left(1+\frac{\mathrm{R}}{100}\right)^{n}$$

Where p = principal amount

r = rate of interest

n = number of years

$2315.35=2000 \times\left(1+\frac{R}{100}\right)^{3}$

$\left(1+\frac{R}{100}\right)^{3}=\frac{2315.35}{2000}$

$\left(1+\frac{R}{100}\right)^{3}=1.157$

$1+\frac{R}{100}=\sqrt[3]{1.157}$

$1+\frac{R}{100}=1.0500$

$\frac{R}{100}=1.05-1$

$\frac{R}{100}=0.05$

R = 5%

Hence, rate per annum is 5 percent.

3 0

3 years ago

Arthur wants to buy an item that costs p dollars before tax. Using the Florida tax rate of 6%, write two different expressions t

REY [17]

The different expressions that represent the price of the item after tax will be p + 6/100p and p + 0.06p.

<h3>How to illustrate the expression?</h3>

The first expression will be:

= p + (6/100 × p)

= p + 6/100p

The second expression will be:

= p + (6% × p)

= p + 0.06p

It should be noted that both expressions are equal.

Learn more about tax on:

brainly.com/question/25783927

#SPJ1

8 0

1 year ago

Yvonne wants to cover the back of her smartphone with a decorative pattern. If the phone's length is 1/2 foot and width is 1/6 f

allochka39001 [22]

Answer:

1/12 square foot

Step-by-step explanation:

Area of the pattern = LEngth * Width

Given the following

Length = 1/2 foot

Width = 1/6 foot

Area of the pattern = 1/2 * 1/6

Area of the pattern =1/12 square foot

Hence the area that the decorative pattern will cover will be 1/12 square foot

4 0

2 years ago

ÑÈÈĐ ÂÑŠWÈŘ ÃŚÃP

Mila [183]

Answer:

629.9

Step-by-step explanation:

5 0

2 years ago

Dividing circumference with radius

uranmaximum [27]

If you divide the circumference C over the radius r, you get 2pi

2pi = C/r

this is because

C = 2pi*r

is one formula to find the circumference. Another formula is

C = pi*d

which works because d = 2r, ie the diameter is twice the radius.

7 0

3 years ago