Amazon's distribution center has 450 employees. The company plans to increase it's staff by 30%. How many new employees will the company hire?

Therefore, I would advise Rebecca to take loan option a at 4.5% over 4 years with a monthly payment of $182.45. It has a lower total repayment amount, which means she will pay less overall for the car financing.

To determine the total amount that will need to be paid back for each loan, we can calculate the future value of the monthly payments over the loan term.

Let's start by calculating the total amount paid back for loan option a:

Loan amount: $8,000

Interest rate: 4.5% per year (compounded monthly)

Loan term: 4 years

Monthly payment: $182.45

The number of monthly payments can be calculated as 4 years * 12 months/year = 48 months.

Using the future value formula for monthly compounding:

\(FV = P * ((1 + r)^n - 1) / r\)

Where:

FV = Future Value

P = Monthly payment

r = Monthly interest rate

n = Number of payments

FV_a = $182.45 * ((1 + 0.045/12)\(^{(4*12)\) - 1) / (0.045/12)

FV_a ≈ $9,032.76

For loan option b:

Loan amount: $8,000

Interest rate: 6% per year (compounded monthly)

Loan term: 5 years

Monthly payment: $154.69

The number of monthly payments can be calculated as 5 years * 12 months/year = 60 months.

FV_b = $154.69 * ((1 + 0.06/12)\(^{(5*12)}\) - 1) / (0.06/12)

FV_b ≈ $9,281.40

So, the total amount that will need to be paid back for each loan is approximately:

Loan a: $9,032.76

Loan b: $9,281.40

Based on the future value calculations, loan option a requires a lower total repayment amount compared to loan option b.

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Answer:

145

Step-by-step explanation:

Angle 4 would be equivalent to 1, which means that 1 and 4 would equal 70.

In a circle the angles must equal 360.

So you would do 360 - 70 which equals 290.

The same rule for angles 1 and 4, applies to 2 and 3.

So you would half 290.

Thus, the answer would be 145 degrees.

Hope this helps :)

The volume of the solid given is 125/24 and is constrained by the planes z = x, y = x, x + y = 5, and z = 0.

The capacity of an object is expressed in terms of volume. The quantity of space a three-dimensional item takes up can also be referred to as volume.  It is sometimes referred to as the vessel's "capacity" or "volume." infant milk bottle with milliliter measuring indications and juice bottle with a 1 liter capacity.

Given

The bounds for z are 0 ≤ z ≤ x.

The bounds in the xy-plane are x ≤ y ≤ 5 - x and x in [0, 5/2]

So, V = ∫∫ (x - 0) dA

= ∫(x = 0 to 5/2) ∫(y = x to 5 - x) x dy dx

= ∫(x = 0 to 5/2) x (5 - 2x) dx

= ∫(x = 0 to 5/2) (5x - 2x^2) dx

= (5x^2/2 - 2x^3/3) {for x = 0 to 5/2}

=  125/24.

The volume of the solid given is 125/24 and is constrained by the planes z = x, y = x, x + y = 5, and z = 0.

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Answer/Step-by-step explanation:

The basic rule of maths operation used by Sandi, is the PEMDAS Rule.

Maths operations like the one Sandi was given must follow this rule. According to the rule:

P - Parentheses, solve everything you have in the parentheses first.

E - Exponents, do the exponents.

M - Multiplication or

D - Division operation should come next.

A - Addition or

S - Subtraction comes last.

Let's apply this rule to see if Sandi rightly applied the PEMDAS Rule:

Step 1:

6*4 + 2 ÷ 2 - 7 (given)

Step 2: perform operation involving Multiplication first according to PEMDAS Rule.

24 + 2 ÷ 2 - 7 (multiplication first. I.e. 6*4 = 24)

Step 3: perform division operation next.

24 + 1 - 7 (division operation. i.e. 2÷2 = 1)

Step 4: Subtraction

24 - 6 (i.e. +1 - 7 = -6) this is where Sandi made an error.

Step 5: subtraction

24 - 6 = 18.

Sandi made a mistake in step 4 and 5. Her addition and subtraction operation was wrong. 1 - 7 = -6 not +6.

During operation like this, either subtraction or addition can come first.

.............................

Answer:

The value of x is 8 cm

Step-by-step explanation:

we can see that there are two triangles

smaller triangle and larger triangle

and both triangles are similar

so, the ratio of their sides must be equal

we get

now, we can solve for x

we can cross multiply

Divide both sides by 5

Subtract both sides by 13

divide both sides by 2

The second derivative of y = 3sin(x) + \(x^{2 cosx}\) is \(d^{2y}\)/dx^2 = -3sin(x) - x²cos(x) + 2cos(x) - 2xsin(x).

To find the second derivative of y = 3 sin(x) + x² cos(x), we need to take the derivative of the first derivative of y with respect to x.

First, let's find the first derivative of y:

dy/dx = 3cos(x) - \(x^{2sin(x)}\) + 2xcos(x)

Now, let's take the derivative of this expression with respect to x to find the second derivative:

\(d^{2y}\)/dx² = -3sin(x) - x²cos(x) + 2cos(x) - 2xsin(x)

Therefore, the second derivative of y = 3sin(x) + \(x^{2 cosx}\) is \(d^{2y}\)/dx^2 = -3sin(x) - x²cos(x) + 2cos(x) - 2xsin(x).

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Answer: 6

Step-by-step explanation:

To calculate the fifth term of the sequence defined by f(n) = 3n - 9, we have to put 5 as the value of n in the equation. This will be:

f(n) = 3n - 9

f(5) = 3(5) - 9

= 15 - 9

= 6

Therefore, the fifth term is 6.

Answer:

Step-by-step explanation:

i think you have to times it

In the 1980s and 1990s, many urban area kids in New York turned to "Selling Drugs" as a means of supplemental income as a means of escape.

The crack epidemic that ravaged New York City with in 1980s was beginning to fade by the early 1990s, and crime rates were also declining.

Thus, during the 1980s and 1990s, many urban area kids in New York turned to "Selling Drugs" as a means of supplemental income as a means of escape.

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The finance charge, based on the annual interest rate of 18 % would be $ 9. 07.

You need to find the periodic rate :

=  18 %  / 365

=  0. 04931506849315

Then the average daily balance :

Days 1 - 7 : $ 800 balance

Days 8 - 15 : $ 800 + $ 600 = $ 1400 balance

Days 16 - 20 : $ 1400 - $ 1000 = $ 400 balance

This allows us to find the average daily balance :
= ( ( 800 x 7 ) + ( 1, 400 x 8 ) + ( 400 x 5 ) ) / 20

= $ 940

The finance charge is:

= 940 x 0. 04931506849315 x 20

= $ 9. 07

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Answer: p=5/4

p = 1/2+3/4

The area of the circle is 225π in².

Given:

the square has an area of 900 in

we are asked to determine the area of the circle = ?

A of square = l²

l = √A

l = √900

l = 30 in

Now radius is half this measure:

r = 30/2

r = 15 in

now, area of circle:

A of circle = πr²

= π(15)²

= 225π

Hence we get the area of the circle as 225π

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Step-by-step explanation:

Tara: 55+7(x)

Brother; 115+5(x)

Answer- 55+7(x)=115+5(x)

Answer:

Option D "Whether or not they are registered with the SEC" is the best answer. This is because it is the company selling brokerage that needs to be registered with the Securities and Exchange Commission (SEC), not the broker (who acts as middle man between the seller and the buyer). Important things to evaluate the broker would be their experience, educational background and registration wit the Financial Industry Regulatory Authority (FINRA).

The perimeter of a square can be found using the following formula:

Where "s" is the length of any side of the square.

Then, an expression that represents the perimeter of a square can be:

You know that it must be greater that 90 inches be less than 108 inches. Then, using this information, you can set up that:

Now, in order to find the range of possible side lengths asked in the exercise, you need to divide 90 and 108 by 4, as you can see below:

Answer:

AB=5

Step-by-step explanation:

3x-4=5x-10

-4=2x-10

6=2x

3=x

AB= 3(3)-4

9-4

5

Answer:

ab = 5.

Step-by-step explanation:
As the 2 sides are equal in length:

3x - 4 = 5x - 10

3x - 5x = -10 + 4

-2x = -6

x = 3.

So ab = 3x-4 = 3(3)-4

= 5.

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x - 9.9 = 2.1

+ 9.9 to both sides

x = 12

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Answer:

X = 12

Step-by-step explanation:

X - 9.9 = 2.1

Add 9.9 to both sides

X - 9.9 + 9.9 = 2.1 + 9.9

Simplify

X = 12

Answer:

i think just any negative numbers

Step-by-step explanation:

like for example -10 and -2. their sum is -12 and when subtracted is -8

Answer:

Below

Step-by-step explanation:

Given Data:

Q) What are the two numbers?

Lets suppose the first number to be x and the second number to be y

The first point states sum of two number which is x + y is less than 2 so our first expression becomes,

\(x+y<2\)

The second point states that the if we subtract the second number from the first number which states x - y the difference is greater than 1 so our second expression becomes,

\(x-y<1\)

1) The riddle can be represented by a system of inequalities. Write an inequality for each statement.

The inequality for the first statement is

\(x+y<2\)

The inequality for the second statement is

\(x-y>1\\\)

I assume the second part to the question would be solve for x and y xD

so here goes

2)

If we just simply add both the equations we get the following result:

\(x+x+y-y=2+1\)

Just suppose there is an equal to sign instead of less than or greater than

\(x+x+y-y=2+1\\2x+0=3\\x=3/2\\x=1.5\\\)

now put the value of x in any one of the two equations I choose equation 1

\(x+y=2\\1.5+y=2\\y=2-1.5\\y=0.5\)

I attached an image so you can understand it better :)

Answer:

no free points lol

Step-by-step explanation:

Answer: on the selected dots your answer should be that car 1 is traveling faster than car 2.

Using combination, a) the number of coins = 120 b) the number of coins would needed to make all possible rows of 6 coin is 384.

a) Based on the provided information, each row is a 6-bit string (6 coins) and its weight is 3 (3 pennies). Therefore, using combination the possible number of rows will be 6C3. The formula for combination is given by:

nCr = n!/r!(n – r)!

Hence,

6C3 = 6!/3!(6 – 3)! = 6!/3!3! = 6*5*4*3!/ 3*2*1*3! = 20

And in case each row requires 6 coins simultaneously, the number of coins = 6*20 = 120 coins

b) Based on the provided information, the possible number of rows will be 2^6 = 64. It can also be obtained using combination the possible number of rows will be sum of 6C0, 6C1, 6C2, 6C3, 6C4, 6C5, and 6C6.

Hence,

6C0 + 6C1 + 6C2 + 6C3 + 6C4 + 6C5 + 6C6

6!/0!(6 – 0)! + 6!/1!(6 – 1)! + 6!/2!(6 – 2)! + 6!/3!(6 – 3)! + 6!/4!(6 – 4)! + 6!/5!(6 – 5)! + 6!/6!(6 – 6)!

6!/0!6! + 6!/1!5)! + 6!/2!4! + 6!/3!3! + 6!/4!2! + 6!/5!1! + 6!/6!0!

1 + 6 + 15 + 20 + 15 + 6 + 1

64

Therefore, the number of coins needed = 6*64 = 384 coins. The number of coins in each row = 384/2 = 192 coins

Hence,

Note: The question is incomplete. The complete question probably is: You break your piggy-bank to discover lots of pennies and nickels. You start arranging these in rows of 6 coins. (a) You find yourself making rows containing an equal number of pennies and nickels. For fun, you decide to lay out every possible such row. How many coins will you need? b) How many coins would you need to make all possible rows of 6 coins (not necessarily with equal number of pennies and nickels)?

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5/12 or 1.6667 is the expected number of programs, out of the chosen four that must be upgraded.

an arithmetical number used in counting and calculating that is represented as a word, symbol, or figure that represents a specific quantity.

12 programs and five upgraded ,if 4 programs are randomly chosen for testing. required:

Simple version. Define a random variable for each of the four selected programs,

where I = 1, 2, 3, and 4.

If program I has to be upgraded, X1 = If program I doesn't require an upgrade, then 0.

Every X has a Bernoulli distribution with p = P as the parameter. If Program I requires an Upgrade 5/12 = because 5 of the 12 programs need to be updated.

When this happens, () E(X) = E(X1+X2 + X3+X4)=p+p+p+p=(4)

5/12 or 1.6667.

5/12 or 1.6667 is the expected number of programs, out of the chosen four that must be upgraded.

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Answer:

X=84.6

Step-by-step explanation:

732=9x-30

You subtract 30 from both sides which leaves us with

762=9x

Then you divide both sides by 9

So x=84.66

Answer:

84.66

Step-by-step explanation:

732=9x-30

732+30=9x

(732+30)/9= x

x = 762/9 = 84.667

Answer:

(-1,-6)

Step-by-step explanation:

Use substitution

y=x-5

3x-2(x-5)=9

3x-2x+10=9

x=-1

Plug it in

(-1)-y=5

-y=6

y=-6

Answer:

Mike fertilize his lawn with one bag of fertilizer = 19.33 times

Step-by-step explanation:

Given - One bag of lawn fertilizer can cover approximately 6,000 square feet. Mike's lawn is about 300 square feet. When Mike applies fertilizer to his lawn, he applies it to 2/3 of his lawn only.

To find - About how many complete times can Mike fertilize his lawn with one bag of fertilizer?

Solution -

Given that,

1 bag of fertilizer can cover approximately 6,000 square feet.

Now,

Mike's Lawn = 300 square feet

He applied fertilizer to 2/3 of his lawn only.

i.e

He applied fertilizer to (2/3)×300 = 200 square feet of lawn

Now,

Total fertilizer left to cover = 6,000 - 200 = 5800 square feet

Now,

Let x be the times for which he fertilize his lawn fully

SO,

300x = 5,800

⇒3x = 58

⇒x = 19.33

∴ we get

Mike fertilize his lawn with one bag of fertilizer = 19.33 times

The work done by vector field F on a particle moving along curve C is calculated by integrating (3cos(t) + 10sin(t)cos(t) + 6sin^2(t)cos(t)) dt from 0 to π/2, where C is defined by r(t) = (1 + 3sin(t))i + (1 + 5sin^2(t))j + (1 + 2sin^3(t))k and F(x,y,z) = xi + yj + zk.

To compute the work done by the vector field F on a particle moving along the curve C, we use the line integral of the dot product between F and the tangent vector of C. We find the tangent vector r'(t) of the curve C and evaluate the dot product of F and r' to compute the work done.

Given the curve C defined by r(t) = (1 + 3sin(t))i + (1 + 5sin^2(t))j + (1 + 2sin^3(t))k, where 0 ≤ t ≤ π/2, and the vector field F(x,y,z) = xi + yj + zk, we want to calculate the work done by F on a particle moving along C.

First, we find the tangent vector r'(t) of the curve C by taking the derivative of r(t) with respect to t. The tangent vector is given by r'(t) = 3cos(t)i + 10sin(t)cos(t)j + 6sin^2(t)cos(t)k.

Next, we evaluate the dot product of F and r' to calculate the work done:

F · r' = (1)(3cos(t)) + (1)(10sin(t)cos(t)) + (1)(6sin^2(t)cos(t))

= 3cos(t) + 10sin(t)cos(t) + 6sin^2(t)cos(t)

To compute the work done over the interval [0, π/2], we integrate the dot product:

Work = ∫[0,π/2] (3cos(t) + 10sin(t)cos(t) + 6sin^2(t)cos(t)) dt

By evaluating this integral, we can determine the work done by the vector field F on the particle moving along the curve C.

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Answer:

266

Step-by-step explanation:

Answer:

-17

Step-by-step explanation: