Triangle Angle Sum and Exterior angle theorem Worksheet answers

Elodia [21]

3 0

3 years ago

Mr. Young is offered an investment opportunity. Kyra says she will invest his money at a 6% simple interest rate over the next 7

gregori [183]

Answer:

$126

Step-by-step explanation:

Given that:

Investment is done as per Simple interest.

Principal = $3000

Time for which the investment is to done = 7 years

Rate of interest = 6%

To find:

Interest earned when the investment matures?

Solution:

Formula for Simple Interest :

$Simple\ Interest = \dfrac{PRT}{100}$

Where $P$ is the principal amount

$R$ is the Rate of Interest

$T$ is the time for which the investment is made

Putting the given values:

$Simple\ Interest = \dfrac{3000\times 6\times 7}{100}\\\Rightarrow Simple\ Interest = \dfrac{12600}{100}\\Simple\ Interest = \$126$

Therefore, the answer is:

Interest earned is <em>$126</em>.

8 0

3 years ago

the price of an article is Marked 25% above the cost price .if it is solid the profit of Rs.500 after allowing 15% discount .wha

gavmur [86]

Answer:

Rs 8500

Step-by-step explanation:

For a cost price of c, the marked price is ...

marked = c +25%·c = 1.25c

After the 15% discount, the sale price will be ...

s = marked -15%·marked = 0.85·marked = (0.85)(1.25c) = 1.0625c

The profit will be the difference between the sale price s and the cost c:

p = s -c

500 = (1.0625c) -c = 0.0625c

Then the cost is ...

500/0.0625 = c = 8000

and the sale price is ...

s = c +p = 8000 +500 = 8500 . . . rupees

The selling price will be Rs 8500.

8 0

3 years ago

PLEASE HELP PRE CAL!!

Len [333]

Answer:

Width = 2x²

Length = 7x² + 3

Step-by-step explanation:

∵ The area of a rectangle is $14x^{4}+6x^{2}$

∵ Its width is the greatest common monomial factor of $14x^{4}$ and 6x²

- Let us find the greatest common factor of 14 , 6 and $x^{4}$ , x²

∵ The factors of 14 are 1, 2, 7, 14

∵ The factors of 6 are 1, 2, 3, 6

∵ The common factors of 14 and 6 are 1, 2

∵ The greatest one is 2

∴ The greatest common factor of 14 and 6 is 2

- The greatest common factor of monomials is the variable with

the smallest power

∴ The greatest common factor of $x^{4}$ and x² is x²

∴ The greatest common monomial factor of $14x^{4}$ and 6x² is 2x²

∴ The width of the rectangle is 2x²

To find the length divide the area by the width

∵ The area = $14x^{4}+6x^{2}$

∵ The width = 2x²

∴ The length = ( $14x^{4}+6x^{2}$ ) ÷ (2x²)

∵ $14x^{4}$ ÷ 2x² = 7x²

∵ 6x² ÷ 2x² = 3

∴ ( $14x^{4}+6x^{2}$ ) ÷ (2x²) = 7x² + 3

∴ The length of the rectangle is 7x² + 3

8 0

3 years ago

the school band will sell pizzas to raise money for new uniforms the supplier charges $100 plus $4 per Pizza the band members se

VladimirAG [237]

100+4x =7x

100=3x

100/3 = 33.33

x = 33.33 round up to 34

they need to sell 34 pizzas to make a profit

6 0

4 years ago