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3 years ago

4. X varies directly with the square of y, where x>0,

Mathematics

1 answer:

vampirchik [111]3 years ago

6 0

Answer:

The value of y, when x = 48 is y = 12/5

Step-by-step explanation:

The given parameters are;

x is directly proportional to y

Where x > 0, y > 0

For x = 3. y = 5

Therefore, we have;

x ∝ a·y²

For ,x = 3, when y = 5, we have;

3 = a × 5² = 25·a

∴ a = 25/3

When x = 48, we have;

48 = 25/3×y²

y² = 3/25 × 48 = 144/25

y = √(144/25) = 12/5

y = 12/5

The value of y, when x = 48 is y = 12/5.

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67000 dollars is placed in an account with an annual interest rate of 8.25%. how much will be in the account after 28 years, to

anastassius [24]

Answer:

The Amount of money in the account after 28 years is $616,674.5

Step-by-step explanation:

Given as :

The principal amount placed in the account = p = $67,000

The rate of interest = r = 8.25%

The time period of amount in the account = t = 28

Let the Amount of money in the account = $A

Now<u>, From Compound Interest method</u>

Amount = Principal × $(1+\dfrac{\textrm rate}{100})^{\textrm time}$

A = p × $(1+\dfrac{\textrm r}{100})^{\textrm t}$

Or, A = $67,000 × $(1+\dfrac{\textrm 8.25}{100})^{\textrm 28}$

Or, A = $67,000 × $(1.0825)^{28}$

Or, A = $67,000 × 9.2041

∴ A = $616,674.7

So, The Amount of money in the account = A = $616,674.5

Hence, The Amount of money in the account after 28 years is $616,674.5 Answer

5 0

3 years ago

How do u find the mean

dusya [7]

You add all the numbers & divide it by how many numbers 8 +9+9+9+10+10

7 0

3 years ago

Read 2 more answers

Sarah making a square pillow with edges that need to measure 8 inches long. She needs a strip of fabric four times as long as on

Galina-37 [17]

Answer:

The length of the strip of fabric is 32 inches.

Step-by-step explanation:

Consider the provided information.

The length of the edges of the square pillow should be 8 inches.

She needs a strip of fabric four times as long as one of the pillow to make a border around the pillow.

The length of the strip of fabric = 4×8 inches

The length of the strip of fabric = 32 inches

Hence, the length of the strip of fabric is 32 inches.

6 0

3 years ago

If someone could help me out with this, I would greatly appreciate it!!

kati45 [8]

We are given that revenue of Tacos is given by the mathematical expression $-7x^{2}+32x+240$ .

(A) The constant term in this revenue function is 240 and it represents the revenue when price per Taco is $4. That is, 240 dollars is the revenue without making any incremental increase in the price.

(B) Let us factor the given revenue expression.

$-7x^{2}+32x+240=-7x^{2}+60x-28x+240\\-7x^{2}+32x+240=x(-7x+60)+4(-7x+60)\\-7x^{2}+32x+240=(-7x+60)(x+4)\\$

Therefore, correct option for part (B) is the third option.

(C) The factor (-7x+60) represents the number of Tacos sold per day after increasing the price x times. Factor (4+x) represents the new price after making x increments of 1 dollar.

(D) Writing the polynomial in factored form gives us the expression for new price as well as the expression for number of Tacos sold per day after making x increments of 1 dollar to the price.

(E) The table is attached.

Since revenue is maximum when price is 6 dollars. Therefore, optimal price is 6 dollars.