Suppose you want to accumulate $120,000 for your retirement in 30 years.
Consider these two plans:

Plan A: make a single deposit into an account with an annual compounding and an APR of 5%.
Plan B: Make a single deposit into an account with continuous compounding and an APR of 4.8% 

1.) how much do you need to deposit in each amount in order to reach the goal?
2.) calculate the current APR the compounding period, and the claimed APY for your personal savings account. (Or pick a rate from a nearby bank)
3.) calculate the APY on your account (or someone u know)
4.) Does your calculation agree with the APY claimed by the bank?

Answer:

5 5/8 pounds

Step-by-step explanation:

I added the fractions and got that

Answer:

1.The  equation of best fit is ŷ = 2.69152X + 3.45818.

Step-by-step explanation:

Answer:

f(-18) = -5

Step-by-step explanation:

Substitute−18forxiny=

1/3 x+1:

y= 1/3x+1

y= 1/3(−18)+1

y=−5(Simplify both sides of the equation)

Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

Answer:

nothing

Step-by-step explanation:

just because i wanted to do this

Answer:

The answer is 4x + 3

Step-by-step explanation:

(7x + 5) - (3x + 2)

7x + 5 – 3x – 2

Combine like terms,

7x – 3x + 5 – 2

4x + 3

Thus, The answer is 4x + 3

_______________________________

If you want to find the value of x then,

4x + 3 = 0

4x + 3 – 3 = – 3

4x/4 = – 3/4

x = – 3/4

Here, The value of x is – 3/4

-TheUnknownScientist 72

The probability that more than 240 flights in a random sample of 400 commercial airline flights will arrive on time is approximately 1 or 100%.

To solve this problem using a normal approximation, we need to calculate the mean (μ) and standard deviation (σ) of the binomial distribution and then use the normal distribution to approximate the probability.

Given:

Probability of an airline flight arriving on time (success): p = 0.84

Number of trials (flights): n = 400

Number of flights arriving on time (successes): x > 240

First, we calculate the mean and standard deviation of the binomial distribution using the following formulas:

Mean (μ) = n * p

Standard Deviation (σ) = √(n * p * (1 - p))

μ = 400 * 0.84 = 336

σ = √(400 * 0.84 * 0.16) = √(53.76) ≈ 7.33

Now, we can use the normal distribution to find the probability that more than 240 flights will arrive on time. Since we're interested in the probability of x > 240, we will calculate the probability of x ≥ 241 and then subtract it from 1.

To use the normal distribution, we need to standardize the value of 240:

z = (x - μ) / σ

z = (240 - 336) / 7.33

z ≈ -13.13

Now, we can find the probability using the standard normal distribution table or a calculator. Since the value of z is extremely low, we can approximate it as:

P(x > 240) ≈ P(z > -13.13)

From the standard normal distribution table or calculator, we find that P(z > -13.13) is essentially 1 (close to 100%).

Therefore, the probability that more than 240 flights in a random sample of 400 commercial airline flights will arrive on time is approximately 1 or 100%.

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Emplοyee's annual cοntributiοn: $3,097.71

Emplοyee's mοnthly deductiοn: $258.14

An algebraic expressiοn is a mathematical phrase that cοntains variables, cοnstants, and mathematical οperatiοns. It may alsο include expοnents and/οr rοοts. Algebraic expressiοns are used tο represent quantities and relatiοnships between quantities in mathematical situatiοns, οften in the cοntext οf prοblem-sοlving.

The emplοyee's percent is 100% decreased by the emplοyer's percent.

100%−73%=27%

Based on the information you provided, Rubina Shaw's annual premium for the HMO plan is $11,473. Her employer pays 73 percent of this premium, so Rubina's portion of the premium would be:

27% × $11,473 = 0.27 × $11,473 = $3,097.71

The emplοyee's annual cοntributiοn is the prοduct οf the emplοyee's percent and the tοtal premium.

The emplοyee's mοnthly deductiοn is the emplοyee's annual cοntributiοn divided by the number οf mοnths in a year.

$3,097.71 ÷ 12

= $258.14

Emplοyee's annual cοntributiοn: $3,097.71

Emplοyee's mοnthly deductiοn: $258.14

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Complete question:

Find the employee's total annual contribution and the employee's monthly deduction. Rubina Shaw, family plan. HMO annual premium is $11,473. Employer pays 73 percent.

Answer:

y= -3x + 3

Step-by-step explanation:

the point given tells you the y-int

given that y=mx + b, you can plug in the values

y= -3x + 3

Answer and Step-by-step explanation:

Let f(x) = x4 + x3 + x2 +x + 1 Є Z2[x]. Prove that f(x) is irreducible over Z2[x] or not?

Proof:-  

Let f(x) = x4 + x3 + x2+ x+1 Є Z2[X].  

Then f (0) = 1 = f(1), so f(x) has no roots,  By Factor theorem, which states that polynomial f(x) has a factor(x-a) if and only if f(a)=0.                                                                                                                                      Hence, f(x) has no linear factor.                                                                                                                                                 If f(x) is reducible, it must have factors of degree 2 and degree 3. But f(x) has no degree 2 factors.

We know that only irreducible quadratic in Z2[X] is x2  + x +1. When we divide f(x) by x2  + x +1 we get a remainder of 1, so x2  + x +1 is not a factor of f(x) therefore f(x) is irreducible.

Answer:

Step-by-step explanation:

Given the system of equations y=30x+10 y=and 5x²−25, since both functions are written in terms of  a varaible y, we will equate the two functions to gether and firt alculate the value of x as shown;

30x+10 =  5x²−25,

Equating the expression to zero;

5x²−25-30x-10 = 0

5x²−30x-25-10 = 0

5x²−30x-35 = 0

Dividing through by 5;

x²−6x+7 = 0,

On factoring;

x = -b±√b²-4ac/2a

a = 1, b = -6 and c = 7

x = 6±√(-6)²-4(1)(7)/2(1)

x = 6±√36-28/2

x = 6±√8/2

x = 6±2√2/2

x = 3±√2

x = 3+√2 or 3-√2

Substituting x = 3+√2 into y = 30x+10

y = 30(3+√2 ) + 10

y = 10(3(3+√2)+1)

y = 10(9+1+3√2)

y = 10(10+3√2)

Given the equation:

we can separate each part of the equation in the following way:

Variable: x

Constants: 21, 5

Coefficients: 2

Expressions, 2x+21, 5

Terms: 2x, 21, 5

Answer:

(x + i) (x - i)

Step-by-step explanation:

The expression x^2 + 1 is a sum of squares, which means that it cannot be factored using real numbers. However, it can be factored using complex numbers.

To factor x^2 + 1, we can use the fact that i^2 = -1, where i is the imaginary unit.

We can rewrite x^2 + 1 as:

x^2 + 1 = x^2 - (-1)

Now, we can use the difference of squares formula to factor x^2 - (-1):

x^2 - (-1) = (x + i)(x - i)

Therefore, the factored form of x^2 + 1 is:

(x + i)(x - i)

Answer:

jsuw

Step-by-step explanation:

bauxiiqodoysyvw. a dejavu losentino verete la müa

The width of the room is 5 meters and its length is 20 meters.

A rectangle is a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square.

The Perimeter of rectangle is -

P = 2(x + y)

The Area of rectangle is -

A = xy

We can write -

P = 2x + 2y

Py = 2xy + 2y²

Py = 2A + 2y²

2y² - Py + 2A = 0

y = ± (P² - 16A)/4

Given is a rectangular room is 4 times as long as it is wide. Its perimeter is 50.

Perimeter of the room -

2(x + y) = 50

and

x = 4y

Then, the perimeter of the room -

2(x + y) = 50

2(5y) = 50

5y = 25

y = 5 m

Then -

x = 20 m

Hence, the width of the room is 5 meters and its length is 20 meters.

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Answer:

1/3

Step-by-step explanation:

Since there is 3 sections it could land anywhere

Answer:1/3

Step-by-step explanation:

Answer: b = 11.62

Step-by-step explanation:

We can use this formula to solve for b:

\(b^{2} =\) \(\sqrt{c^{2}-a^{2} }\)

\(b^{2} =\) \(\sqrt{12^{2}-3^2 }\)

\(b^2= \sqrt{144-9}\)

= 11.61895004

We can round that to 11.62.

Hope this helped!

Therefore , the solution of the given problem of equation comes out to be another point on the line would be (3, 110).

In arithmetic equations, the identical sign (=) is used to denote the equivalence of two assertions. It is demonstrated that using mathematical methods, which have acted as manifestations of reality, it is feasible to compare different numerical factors. For fact, the equal sign splits the number 12 into two separate parts, even if the answer is y + 6 = 12. It is possible to determine how many letters are also present on either end of this character.

Here,

The equation for the total cost of a party at this venue for p people is:

C = 20p + 70

To graph this equation, you can plot two points and draw a line passing through them.

One point can be the y-intercept (0, 70), which represents the fixed event fee charged by the venue.

The second point can be any other point on the line. For example, when there are 3 people at the party, the total cost would be:

C = 20(3) + 70 = 110

So another point on the line would be (3, 110). Plotting these two points and drawing a line passing through them will give you the graph of the total cost as a function of the number of people at the party.

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Answer:

114.3 foot

Step-by-step explanation:

Height of building,h=200 foot

Let BC=x

\(tan\theta=\frac{perpendicular\;side}{base}\)

Using the formula

\(tan(58^{\circ} 6')=\frac{200}{CD}\)

\(CD=\frac{200}{tan(58^{\circ} 6')}\)

\(CD=124.5 foot\)

Now,

\(\frac{BC}{CD}=tan(42^{\circ}33')\)

\(\frac{x}{124.5}=0.9179\)

\(x=124.5\times 0.9179\)

\(x=114.3 foot\)

Hence, the distance of woman from the  ground=114.3 foot

The ground is 123.24 ft far from the stranded woman.

Given the total height of the office building is 200 ft.

And the angle of elevation of the top of the building is 58° 6' and the angle of elevation to the stranded woman is 42° 33'.

We know that, from trigonometric ratios,\(tan \theta =\frac{perpendicular}{base}\)

here \(\theta\) is the angle of elevation of the top of the building from the fireman.

Now, \(tan ( 58^{0} 6')\)\(=\frac{200}{base}\)

\(1.488=\frac{200}{base}\)

\(base=\frac{200}{1.488}\)

\(base=134.40\) ft

Now the woman is stranded in the window of the building say at the height of h ft, and the angle of elevation of the woman from the fireman is  42° 33'.

So, \(tan (42^{0} 33')\)\(= \frac{perpendicular}{base}\)

\(tan(42^{0} 33' )= \frac{h}{134.40}\)

\(0.917=\frac{h}{134.40}\)

\(0.917\times134.40=h\)

\(h=123.24 ft\)

Hence the ground is 123.24 ft far from the stranded woman.

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Answer:

I recommend white, If you do a yellow do a light base yellow like Cornsilk, Creamy Corn, or Pale Peach!

Step-by-step explanation:

Answer:

Explanation:

Answer:

-21 is the correct answer

Step-by-step explanation:

-7.5 - 5 - 8.5 = -21

Answer:

-21 is the correct answer

-7.5 - 5 - 8.5 = -21

Answer:

Step-by-step explanation:

(19 - 7)/(6 - 2) = 12/4= 3

y - 7 = 3(x - 2)

y - 7 = 3x - 6

y = 3x + 1

Answer:

x = 14

Step-by-step explanation:

As we can see that the bottom side is equivalent to 3 of the smallest triangle and the side of the larger triangle is equivalent to the 9

This represents that it is dilated by 3 factor

So

= 3 × 3

= 9

Now the other side i.e. 5 of the smallest triangle also need to be dilated by a 3 factor

So the new side is 15

Also the largest triangle is x + 1

So,

15 = x + 1

x = 14

Answer:

K=5

Step-by-step explanation:

12k-15=35+2k

12k=50+2k

10k=50

k=5

Answer:

\(k = 5\)

Step-by-step explanation:

\(12k - 15 = 35 + 2k\)

Our goal is to isolate k

\(12k - 15 = 35 + 2k\\\;\;\;\;+15 \;\;\;\;\;\;\; +15\)

\(12k = 50 + 2k\\-2k \;\;\;\;\;\;\;\; -2k\)

\(10k = 50\)

Now we have k isolated to one side. Our final step is to have k be just k, no coefficient. We can do this by dividing each side by the coefficient.

\(\large\frac{10k}{10} = \frac{50}{10} \\\\10k\;\div\;10 = k\\50\;\div\;10 = 5\\\)

\(\large\boxed {k \;=\;5}\)

~\(InLoveWithPugs\)

\(Moderator\\Math\ Enthusiast\)

Using it's concept, the standard deviation of the data is of 3.742.

For this data-set, the mean is:

M = (1 + 4 + 4 + 4 + 4 + 6 + 5)/7 = 4.

Hence the standard deviation is:

\(S = \sqrt{\frac{(1 - 4)^2 + (4 - 4)^2 + (4 - 4)^2 + (4 - 4)^2 + (4 - 4)^2 + (6 - 4)^2 + (5 - 4)^2}{7}} = 3.742\)

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Answer:

The student that makes a wage of $21 per hour is Tarek.

Step by step explanation:

To determine which student makes a wage of $21 per hour, we need to divide the total earned by the number of ours, to see what is the rate per hour of each one:

Amy:

Tarek:

For Kal and Paula, we need to cross multiply (proportional relationships) to get a rate for 60 minutes:

Kal:

Paula:

Therefore, the student that makes a wage of $21 per hour is Tarek.