help me please if you can

Answer:

They are all linear equations/functions, I graphed them here:

Step-by-step explanation:

To find the value of N, we need the future value of the retirement fund. If you provide the desired future value, I can calculate the exact value of N.

To find the value of N, we need to calculate the number of monthly deposits Sam made for his retirement fund over 20 years.

Sam deposited $1000 every month for 20 years, which is a total of 20 x 12 = 240 deposits. Each deposit has a compounded interest rate of 5% per year, compounded monthly.

The formula to calculate the future value of a series of monthly deposits is given by:

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

Where:

FV is the future value of the investment,

P is the monthly deposit amount,

r is the monthly interest rate, and

n is the number of deposits.

In this case, P = $1000, r = 5% / 12 = 0.05 / 12 = 0.00417 (monthly interest rate), and FV is the value of the retirement fund after 20 years.

By rearranging the formula, we can solve for n:

n = log((FV * r) / (P * r + FV)) / log(1 + r)

Plugging in the values, we get:

n = log((FV * 0.00417) / (1000 * 0.00417 + FV)) / log(1 + 0.00417)

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The question is asking you to understand that a population which is raised by a common ratio over a certain time period follows an exponential pattern. See:

After 1 hour, the population is 3*10

After 2 hours, the population is 3*3*10

After 3 hours, the population is 3*3*3*10

.....

This can be generalised as a function of t, the time in hours:

f(t) = (3^t) * 10

Since the function determines the population at a given time, it is more prudent to replace f(t) with P, the population after time t:

P = (3^t) * 10

Since 20 minutes is equal to (1/3) hours, t can be substituted for (1/3) in order to calculate the population size after 20 minutes:

P = (3^(1/3)) * 10 = 14.4224957031 ≈ 14

Therefore the population after 20 minutes is 14.

Answer:

y=2/3x+2

Step-by-step explanation:

8x-12y=-24

subtract 8x from both sides to come up with -12y=-8x-24

divide -12y by everything and get y=-8/-12x-24/-12

simplify and get y=2/3x+2

its all positive since a negative divided by another negative= a positive

The equation that represents the cost, c, of n sets is c = 63.74n

from the question, we have the following parameters that can be used in our computation:

Each volleyball set costs $63.74.

Let the total number of sets be n

So we have

Cost of n = 63.74 * n

This gives

c = 63.74n

Hence, the equation is c = 63.74n

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The probability for the  random sample are estimated as:

a) P(13 ≤X ≤ 16) = P( 0.158 ≤  X ≤ 0.50)

b) P(X ≤ 13) =  P( X ≤  0.158)

c) P(X >22)  =  P( X > 0.9777 )

The random sample will consist of a sample mean that asymptotically follows the normal distribution regardless of the distribution of both the parent population if a sample of size (n) is obtained from the population and as the sample's number of participants keeps increasing.

Let's say a random variable is divided up with just some parameters (μ,σ).

X~N(16,3³)

Then,

mean μ = 16

standard deviation σ = 3

z score is: z = (x - μ)/σ

The probability are estimated as:

a) P(13 ≤X ≤ 16)

P(13 ≤X ≤ 16) = P( (13 - μ)/σ  ≤  X ≤  (16 - μ)/σ )

                     = P( (13 - 16)/3  ≤  X ≤  (16 - 16)/3 )

                     = P( -1  ≤  X ≤  0 )

                     = P(  0.158 ≤  X ≤ 0.50)

b) P(X ≤ 13)

P(X ≤ 13) = P( X ≤  (13 - μ)/σ )

               =  P( X ≤  (13 - 16)/3 )

               =  P( X ≤  -1 )

               =  P( X ≤  0.158)

c) P(X >22)

P(X >22) = P( X > (22- μ)/σ )

              =  P( X > (22- 16)/3 )

              =  P( X > 2 )

              =  P( X > 0.9777 )

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Matt takes 157 seconds to run 1 lap.

Ratio basically compares quantities, that means it shows value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Time taken to run 8 laps = 1,256 seconds

To find time taken to run 1 lap, use the ratio property,

8 laps = 1256 seconds

1 lap = 1256/8 seconds

1 lap =  157 seconds

Matt takes 157 seconds to run 1 lap.

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After solving the Algebraic Expression 2(x + 8)= 2x + 8, we will get x∈∅. Variable x is dissolved in itself, making it impossible to find its value.

Before moving to solve the equation , let's learn how to solve any algebraic expression:

Step 1: Determine whether the Distributive is necessary.

Property. If so, spread the word!

Step #2: Group similar terms together on either side of the equals symbol.

(meaning: combine all of the similar factors AND

Add up each and every integer (number).

Step #3: Align the variables so that they are all to one side of the equals symbol.

utilizing the inverse process. REMEMBER: No matter what you do

You MUST do to the other side of the equals sign what you did to the one side.

equals (symbol).

Fourth Step: When all of your variables are situated on the same side of the

You must transfer each number to the opposite sign of the equals by applying the inverse procedure on the equals sign. REMEMBER:

fourth Step: When all of your variables are situated on the same side of the

You must transfer each number to the opposite sign of the equals by applying the inverse procedure on the equals sign. REMEMBER:

You MUST do anything you do to one side of the equals sign.

the reverse of the equals symbol).

Step #5: Using the variable's ALONE state, isolate it

the opposite process. DO NOT FORGET: No matter what you do to one

You MUST change the other side of the equals symbol to the equals symbol

Given:

2(x + 8)= 2x + 8

2 × x + 2 × 8= 2x + 8

2x+16= 2x+ 8

16= 8

So, x∈∅.

In this equation , the value of x could not be find because variable x is dissolved in itself.

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Answer:

i dont know i dont know i dont know

Answer:

MB= √10

Step-by-step explanation:

Answer:

Step-by-step explanation:

Exchange rates are the rates at which one currency can be exchanged for another currency. They represent the value of one currency relative to another currency.

Answer:

Breyer

Step-by-step explanation:

1gallon=128oz half gallon=64oz

We can make both of their unit to 224oz: 14x16=224oz 64x3.5=224oz

Haagen Dazs:3.67x16=58.72/224oz

Breyer: 4.69x3.5=16.415/224oz

Breyer’s way cheaper

Answer:

angle ced is a right ange

so the m angels debate =135 m angle aeb =35

so the answer is 135+35 =170

180 is a all side sim

=180-170=10 answer

Answer:

∠CED is a right angle.

∠CEA is a right angle.

m∠CEB = m∠BEA

m∠DEB = 135°

The solution is, After decreasing £16870 by 3% we get, £16363.90.

Here, we have,

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".

First, find the percentage of £16870 by 3%

%value = 3% * 16870

           = (3 / 100) * 16870

           = 506.1

Now, just minus with actual value

New value = actual value - %value

We know, actual value = £16870 and %value = 506.1

so, New value = 16870 - 506.1

we get, New value = £16363.90

Therefore, After decreasing £16870 by 3% we get, £16363.90

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complete question:

Decrease £16870 by 3%

Give your answer rounded to 2 DP.

The rate of change of radius at radius 6cm is 0.79 cm/sec.

The rate of change of a function is simply the derivative of the function with respect to the changing parameter in the function i.e. variable in the function.

So for calculating the rate of change of radius, we calculate the rate of volume change as volume is the function of radius.

As we know volume of the cylinder is given by V=πr²h

where r is the radius and h is the height of the cyclinder.

Given that rate of change of volume = 563 cm/sec

⇒ dV/dt =563 cm/sec

⇒ d(πr²h)/dt =563

taking πh outside the derivative as π and h is constant term

⇒ πh dr²/dt =563

⇒ πh (dr²/dr)(dr/dt)= 563 (applying chain rule dy/dx = (dy/du)(du/dx))

⇒ πh(2r)(dr/dt) =563

⇒dr/dt= 563/(2πhr)

given height of the cylinder h= 19cm

rate of change of radius at radius r =6cm= dr/dt= 563/(2πhr)= 563/(2*π*19*6)= 0.79 cm/sec

Therefore rate of change of radius at radius 6cm is 0.79 cm/sec.

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Answer:

The range of the function in ascending order is:

Range R = {-2, 0, 2, 4}

Step-by-step explanation:

Given the function

f(x) = 2-2x

We know that the domain of the function is the set of input or arguments for which the function is real and defined.  

In other words,  

As the domain of the function is given such as

Domain D = {-1, 0, 1, 2}

Determining the range

We also know that range is the set of values of the dependent variable for which a function is defined.  

In other words,  

Range refers to all the possible sets of output values on the y-axis.

As the domain is

Domain D = {-1, 0, 1, 2}

FOR x = 1

substitute x = -1 in the function

f(x) = 2-2x

f(-1) = 2-2(-1) = 2+2=4

so

at x = -1, y = 4

FOR x = 0

substitute x = 0 in the function

f(x) = 2-2x

f(-1) = 2-2(0) = 2-0=2

so

at x = 0, y = 2

FOR x = 1

substitute x = 1 in the function

f(x) = 2-2x

f(-1) = 2-2(1) = 2-2=0

so

at x = 1, y = 0

FOR x = 2

substitute x = 2 in the function

f(x) = 2-2x

f(-1) = 2-2(2) = 2-4=-2

so

at x = 2, y = -2

Thus combining all the output or y values correspond to the given input values, we get the range of the function.

Thus, the range of the function in ascending order is:

Range R = {-2, 0, 2, 4}

Answer:

1/5 is bigger than 1/8

Step-by-step explanation:

First put them as decimals

1/5 = 0.2

1/8 = 0.125

0.2 > 0.125

Answer:

1/6

Step-by-step explanation:

i used a calculator

Answer:

113.35

Step-by-step explanation:

Answer:

56 degrees

Step-by-step explanation:

Here, I think you just accidentally put the value for the angle ZWX, which would be ZWP+PWX(56+56).

You actually already wrote it on the paper, so nothing wrong with your math here, just a thinking error :)

a) The initial deposit in the account is given as follows: 1,287.39 euros.

b) The interest rate of the account is given as follows: 3%.

The equation that gives the balance of an account after t years, considering simple interest, is modeled as follows:

A(t) = P(1 + rt).

In which the parameters of the equation are listed and explained as follows:

Considering the balances after 5 and 6 years, the interest rate is obtained as follows:

r = 1524.60/1480.50 - 1

r = 0.03.

Considering the balance after 5 years, the initial deposit is obtained as follows:

P(1 + 0.03 x 5) = 1480.5

P = 1480.5/1.15

P = 1,287.39 euros.

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Answer:

\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Step-by-step explanation:

Convert 1/2 + i√3/2 to rectangular form

\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)

Use DeMoivre's Theorem

\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Answer:

I don't no the answer sorry

Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

A store sells 5 oranges and 10 apples.

What is the cost amount?

The cost of an asset to you often serves as its basis. The cost is the sum that you pay for it using money, debt, other goods, or services. Sales tax and other purchase-related costs are included in the price.

Here, we have

Given: A store sells oranges and apples. Oranges cost $1.00 each and apples cost $2.00 each. In the first sale of the day, 15 fruits were sold in total, and the price was $25.

We have to determine how many of each type of fruit were sold.

We, let the oranges be x.

let the apples be y.

x + y = 15...(1)

1x + 2y = 25...(2)

We subtract equation(2) from equation(1), we get

y = 10

Now we put the value of y in equation (1) and we get

x + 10 = 15

x= 5

Hence, a store sells 5 oranges and 10 apples.

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Answer:

144 km

Step-by-step explanation:

Answer:

x = 14

Step-by-step explanation:

Given

\(\frac{2}{5}\) x - \(\frac{3}{2}\) = \(\frac{1}{4}\) x + \(\frac{3}{5}\)

Multiply through by 20 ( the LCM of 5, 2 and 4 ) to clear the fractions

8x - 30 = 5x + 12 ( subtract 5x from both sides )

3x - 30 = 12 ( add 30 to both sides )

3x = 42 ( divide both sides by 3 )

x = 14

Answer:

-2x - 6

Step-by-step explanation:

-2(x + 3)

-2 · x = -2x

-2 · 3 = -6

-2x - 6

Answer:

\(\huge\boxed{\sf{-2x-6}}\)

Step-by-step explanation:

Hello.

Please remember that the property is really useful hen it comes to simplifying expressions like this one.

It states that

a(b+c)=ab+ac

Now, simplify:

-2(x+3)

-2x-6

I hope it helps & have an outstanding day!

\(\boxed{imperturbability}\)

9514 1404 393

Answer:

  c.  20 days

Step-by-step explanation:

Divide the total available rice by the rate of its use:

  time = quantity/(rate of use)

  (15 lb)/(0.75 lb/day) = (15/0.75) days = 20 days

Answer:

z(max)  = 2350

x₁  =  18          x₂  =  10

Step-by-step explanation:

                             Vol (ft³)         W (p)    Income ($)

Cargo A  (x₁)             50              200          75

Cargo B  (x₂)            10               360          100

Max load limit       1000            7200

Objective Function

z  =  75*x₁   +  100*x₂

Constraints:

Volume constraint:

50*x₁  +  10*x₂  ≤ 1000

Weight constraint:

200*x₁  +  360*x₂  ≤ 7200

Model:

z  =   75*x₁   +  100*x₂       to maximize

Subject to:

50*x₁  +  10*x₂  ≤ 1000

200*x₁  +  360*x₂  ≤ 7200

x₁  ≥  0        x₂  ≥ 0    x₁  and x₂  integers

After 6 iterations with an on-line solver optimal solution is:

z(max)  = 2350

x₁  =  18          x₂  =  10