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2 years ago

13

A family spends $30,000 a year for living expenses. If prices increase by 5 percent a year for the next three years, what amount

will the family need for their living expenses after three years?

1 answer:

Juli2301 [7.4K]2 years ago

3 0

Answer:

The family will need $34500.

Step-by-step explanation:

1. 5% of 30000 is 1500.

2. 3 times 1500 is 4500.

3. Add 4500 and the starting amount.

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A particle begins at point (1, 2) and is moving along the line segment joining (1, 2) to (3, 4). Initially, what is the rate of

Bumek [7]

Answer:

Initially, that is, at (1,2), the rate of increase of the function in the direction given = 0

Hence the function is neither increasing nor decreasing initially in the given direction.

Step-by-step explanation:

f(x,y) = 2x² - y²

Rate of Change of the function = ∇f = (fₓ, fᵧ)

And we're told to find the rate of change in a particular direction = ∇f.û

We first obtain the unit vector in that direction, û

Direction = (3,4) - (1,2) = (2,2)

Uni vector = vector/magnitude

Vector = 2î + 2j

magnitude = √(2² + 2²) = √8 = 2 √2

(2î + 2j)/(2√2) = (1/√2)î + (1/√2)j = û

Unit vector in the direction = (1/√2, 1/√2)

f = 2x² - y²

At (1,2)

fₓ = ∂f/∂x = 4x = 4

fᵧ = ∂f/∂y = -2y = -4

∇f = (4,-4)

∇f.û = (4î - 4j).((1/√2)î + (1/√2)j) = (4/√2) - (4/√2) = 0

If it was positive, then the function is increasing, if it was negative, the function is decreasing. Zero means neither of them.

Hence the function is neither increasing nor decreasing initially in the given direction.

7 0

3 years ago

Please HELPPPP pleasee

Contact [7]

C, they are the output values and output= ranget

5 0

3 years ago

NO SCAM. PLEASE SHOW WORK. WILL GIVE BRAINLY TO CORRECT ANSWER.

sergeinik [125]

Answer:

$140$

Step-by-step explanation:

A regular polygon is a shape with equal sides and angles. Because of this, we can write the following equation to set two sides equal to each other:

$3a+b+3=2a+2b+6$

Solving, we will get a in terms of b:

$3a=2a+b+3,\\a=b+3$

Now we can substitute a for (b+3) into our equation:

$5a-2b+1=2a+2b+6,\\5(b+3)-2b+1=2(b+3)+2b+6,\\3b+16=4b+12,\\-b=-4,\\b=\boxed{4}$

Therefore, the length of each side of this polygon is $5(4+3)-2(4)+1=28$ .

Since the perimeter of the polygon consists of all five sides, the perimeter is:

$p=28\cdot 5 =\boxed{140}$

6 0

3 years ago

Read 2 more answers

14. Find the value of the function:<br> If f(x) = 4x + 4x - 4, find f(0).<br> f(0) =

n200080 [17]

Answer:

<h2>f(0) = -4</h2>

Step-by-step explanation:

$f(x)=4x^2+4x-4\ or\ f^*(x)=4x+4x-4=8x-4\\\\f(0)-\text{put}\ x=0\ \text{to}\ f(x):\\\\f(0)=4(0)^2+4(0)-4=4(0)+0-4=0-4=-4\\\\f^*(0)=8(0)-4=0-4=-4$

3 0

3 years ago

Please help get value of x. I believe it is 7 but idk.

den301095 [7]

The value of x would be 8

3 0

3 years ago

Read 2 more answers