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2 years ago

Please help me!! thank you find a :

Mathematics

1 answer:

r-ruslan [8.4K]2 years ago

6 0

Answer:

please answer properly friends and only answer for the following pairs are

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Which of the expressions are equivalent to the one below? Check all that apply.

sdas [7]

Step-by-step explanation:

We need to find an expression that is equivalent to 4×(8+3)

We know that,

4×(8+3) = 4(11) = 44

Option (1).

(4 • 8) + 3 = 32+3 = 35. It is incorrect

Option (2).

(8 + 3) • 4 = (11) 4 = 44. It is correct.

Option (3).

4 • (3 + 8) = 4(11) = 44. It is correct.

Option (4).

4 • 8 + 4 • 3 = 32+12 = 44. It is correct.

Hence, the correct options are (2), (3) and (4).

8 0

2 years ago

The price of a computer component is decreasing at a rate of 15% per year. State whether this decrease is linear or exponential

Margaret [11]

Answer:

Since the price is given by an exponential function, the decline in price is exponential.

The component will cost $36.8475 in three years.

Step-by-step explanation:

The equation for the price of a component has the following format:

$P(t) = P(0)(1-r)^{t}$

In which P(t) is the price after t years, P(0) is the initial price, and r is the rate that the price decreases.

Since the price is given by an exponential function, the decline in price is exponential.

The price of a computer component is decreasing at a rate of 15% per year.

This means that $r = 0.15$

Component costs $60 today

So P(0) = 60. Then

$P(t) = P(0)(1-r)^{t}$

$P(t) = 60(1-0.15)^{t}$

$P(t) = 60(0.85)^{t}$

What will it cost in three years?

This is P(3).

$P(t) = 60(0.85)^{t}$

$P(3) = 60(0.85)^{3} = 36.8475$

The component will cost $36.8475 in three years.

6 0

3 years ago

Tricia got a 6% raise on her weekly salary. The raise was $30 per week. What was her original weekly salary in dollars per week?

serious [3.7K]

Answer: Original salary = $500

Step-by-step explanation: Tricia got a 6% raise on her weekly salary. The

raise was $30 per week.

Let x be the original salary

x times the raise percentage = raise amount

6%= 6/100=0.06, raise amount = 30

Now we solve for x

Divide by 0.06 on both sides

Original salary = $500

6 0

2 years ago

Sue needs 100 milliliter dog juice to make a batch of a juice drink.How many milliliters does she need to make 5 batches?

adelina 88 [10]

Answer:

500

Step-by-step explanation:

4 0

2 years ago

What is the standard form of the equation of a circle whose diameter is 20 units and whose center is (−1,7)?

VARVARA [1.3K]

Answer:

$(x + 1)^2 + (y - 7)^2 = 100$

Step-by-sep explanation:

Given:

Diameter of circle = 20 units

Center of circle = (-1, 7)

Standard form of the equation of a circle is expressed in the center-radius form as:

$(x - h)^2 + (y - k)^2 = r^2$ ,

Where,

h = -1

k = 7

r = ½ of diameter = ½(20) = 10 units

Plug in the values into the equation

$(x - h)^2 + (y - k)^2 = r^2$

$(x - (-1))^2 + (y - 7)^2 = 10^2$

$(x + 1)^2 + (y - 7)^2 = 100$

4 0

2 years ago