Frederick is saving for a car he is planning to buy in 3 years. He currently does not have any money saved but he has a plan to save $400 each month If Frederick invests the money with a growth rate of 4.5% annually (compounded monthly), how much will he have at the end of 1 year?

Answers

Answer 1

The total amount of money that Fredrick would have at the end of one year is $4901.60.

How much money would he have at the end of one year?

The formula that can be used to determine the future value of the monthly annuity is: amount deposited monthly x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

r = interest rate = 4.5 / 12 = 0.38%n = number of periods  = 12

$400 x{{ (1.0038^12) - 1]/0.0038} = $4901.60

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Related Questions

Evaluate the function. F(x) =5x-3 when f (2)

Answers

Answer:

f(2) = 7

Step-by-step explanation:

Given information,

→ f(x) = 5x - 3

→ f(2) = ?

Now the value of f(2) will be,

→ f(x) = 5x - 3

→ f(2) = 5(2) - 3

→ f(2) = 10 - 3

→ [ f(2) = 7 ]

Hence, the value of f(2) is 7.


1.- Write two words that mean addition

Answers

Answer:

the two words that means addition are

plus, sum and calculation..............

Question 1:
Find the percent of change to the nearest tenth of a percent for Centerville
Question 2:
Which town had the greatest percent of change
Question 3:
What was the percent of change? (From your answer in Part B) Do Not Include 'Increase' or 'Decrease.' Round to the nearest whole percent.

Question 1:Find the percent of change to the nearest tenth of a percent for CentervilleQuestion 2:Which

Answers

Answer:

Sorry just trying to get points

Step-by-step explanation:

The following proof can be solved in 3 steps. There is no need to reproduce the entire proof in your answer. Just write out line 3,4, and 5 and their justifications. You can use your keyboard and substitute &=• , > = ⊃ and the lowercase v for the 'or' operator.
1. (X v Y) ⊃ (Z• U)
2. X / ∴ Z
3.
4.
5.

Answers

The three steps to solve the proof are,

~Z ⊃ ~(X v Y) [Assumption]~Z [Modus Tollens: 2,3]~(X v Y) [Modus Ponens: 3,4]

The given argument uses the method of indirect proof, also known as proof by contradiction, to derive the conclusion that ~(X v Y) from the premises (X v Y) ⊃ (Z• U) and X ⊢ Z.

To begin the proof, the assumption ~Z ⊃ ~(X v Y) is made, which states that if Z is false, then X or Y must also be false. Using Modus Tollens, the statement ~Z is derived, as X is known to be true. Finally, using Modus Ponens, the statement ~(X v Y) is derived, which contradicts the initial assumption.

Therefore, the assumption ~Z ⊃ ~(X v Y) must be false, and it follows that Z must be true.

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A theater has 1200 seats. Each row has 20 seats. Write and solve an equation to find the number x of rows in the theater.

An equation that represents this problem is
=1200.

There are
? rows in the theater.

Answers

I believe the answer is 60
1200 divided by 20=60


Determine the probability of rolling a die and getting a 2
then a 5.

Answers

The probability of rolling a die and getting a 2, then a 5, is 1/36.

To determine the probability of rolling a die and getting a 2, then a 5, we need to multiply the probabilities of each event happening.

First, let's consider the probability of rolling a die and getting a 2. Since there are six equally likely outcomes when rolling a fair six-sided die (numbers 1 to 6), the probability of rolling a 2 is 1/6.

Now, let's consider the probability of rolling a die and getting a 5. Again, there are six equally likely outcomes, so the probability of rolling a 5 is also 1/6.

To find the probability of both events happening, we multiply the probabilities:

Probability of rolling a 2 and then a 5 = (1/6) * (1/6) = 1/36.

Therefore, the probability of rolling a die and getting a 2, then a 5, is 1/36.

It's important to note that each roll of the die is an independent event, meaning that the outcome of one roll does not affect the outcome of the next roll. Therefore, the probability of rolling a 2 and then a 5 remains constant at 1/36 regardless of previous rolls or the order in which they occur.

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Cmon guys i been waiting for a while for someone to answer this PLEASE HELP NOW!!!

Cmon guys i been waiting for a while for someone to answer this PLEASE HELP NOW!!!

Answers

Answer:

ŷ = 2100X - 4166040

Step-by-step explanation:

Sum of X = 10075

Sum of Y = 327300

Mean X = 2015

Mean Y = 65460

Sum of squares (SSX) = 10

Sum of products (SP) = 21000

Regression Equation = ŷ = bX + a

b = SP/SSX = 21000/10 = 2100

a = MY - bMX = 65460 - (2100*2015) = -4166040

ŷ = 2100X - 4166040

sorry you had to wait awhile for someone to answer :(

Cmon guys i been waiting for a while for someone to answer this PLEASE HELP NOW!!!
Cmon guys i been waiting for a while for someone to answer this PLEASE HELP NOW!!!

what is most likely to be represented by the number -40

Answers

Answer:

You tell me the question properly and i will edit this and put answer

Step-by-step explanation:

Until then bye

Answer:

Read Explanation Below

Step-by-step explanation:

So... I didn't know what you were referencing nor did I see a paper, so I came up with a scenario that I thought would represent this number. (also, if you could send a picture so I know what you're referencing, that would be awesome)

1. When James took a nap at 3pm, he saw that the temperature outside was 70 degrees. However, when he woke up at 8pm, he checked the weather and it was 30 degrees. How much did the temperature change during his nap.  

What is 7/11 x 1/4 in simplest form

Answers

Answer:

\(\frac{7}{11} * \frac{1}{4}\) = \(\frac{7}{44}\).

Cannot reduce it. Then it will make the numerator a decimal

Which cannot happen.

\(\frac{7}{44}\) is the answer then

Answer:

7/11 x 1/4 = 0.015

I hoped it helped you.

the average U.S farm occupies 435 acres. how many square miles is this?( 1 acre = 43,560 ft^2; 1 mi = 5280 ft)

Answers

Let's make the convertion from acre to squared ft:

\(435\text{ acre(}\frac{43560\text{ sq ft}}{1\text{ acre}})=18948600\text{ sq ft}\)

Now, lets convert this to squared miles:

\(18948600\text{ sq ft(}\frac{1\text{ mi}}{5280\text{ ft}})\text{(}\frac{1\text{ mi}}{5280\text{ ft}})=0.6796875\)

Therefore 435 acres is 0.6796875 squared miles.

If f(x) = -3 and g(x) = 3x² + x − 6, find (f+ g)(x).

Answers

Answer: \(3x^2+x-9\)

Step-by-step explanation:

f(x) + g(x)

Given: f(x) = -3 and g(x) = 3x^2+x-6

\(-3+3x^2+x-6\)

Final answer:

\(3x^2+x-9\)

find the polynomial M if 2x^2 - 1/3ax + by - M = 0

Answers

Polynomial M is 2(x - \((\frac{1}{12}a)^{2}\) - (1/72)\(a^{2}\) + by

To find the polynomial M, we need to rearrange the equation given to us. We can start by adding M to both sides of the equation to isolate the constant term. This gives us:

2\(x^{2}\) - (1/3)ax + by = M

Now, we have the polynomial M in terms of x, a, b, and y. However, this is not in its simplest form yet. We can simplify this further by factoring out the coefficient of x. This gives us:

2(\(x^{2}\) - (1/6)ax) + by = M

Now, we can complete the square inside the brackets to get a perfect square trinomial. This means taking half of the coefficient of x, squaring it, and adding it and subtracting it inside the brackets. This gives us:

2((x - \((\frac{1}{12}a)^{2}\)  - (1/144)\(a^{2}\)) + by = M

Simplifying this further, we get:

2(x - \((\frac{1}{12}a)^{2}\)  - (1/72\(a^{2}\) + by = M

Therefore, the polynomial M is given by:

M = 2(x - \((\frac{1}{12}a)^{2}\)  - (1/72)\(a^{2}\) + by

This is the final answer for the polynomial M.

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Find the nth Maclaurin polynomial for the function. f(x) = sec(x), n = 2 P_2(x) =

Answers

Answer:

\(\mathbf{P_2(x) = 1+\dfrac{x^2}{2}}\)

Step-by-step explanation:

Given that:

f(x) = sec (x)  , n = 2

Where are to find P_2(x)

Suppose ; f(x) = sec (x)  , n = 2

then

\(f(0) = sec (0) = 1\)

\(f'(x) = sec (x)* tan (x)|_{x=0} = 0\)

\(f''(x) = sec (x)*tan ^2(x)+ sec (x) * sec^2(x)\)

\(f''(x) = sec (x)*tan ^2(x)|_{x=0} + sec^3(x)\)

\(f''(x) = 0 + sec^3(0)\)

\(f''(x) = 1\)

\(f(x) = f(0) + \dfrac{f'(0)x}{1!}+ \dfrac{f''(0)x^2}{2!}+ \dfrac{f'''(0)x^3}{3!}+...\)

\(f(x) = 1 + \dfrac{0}{1!}x+ \dfrac{x^2}{2!}+...\)

\(f(x) = 1 + \dfrac{x^2}{2}+...\)

since order n =2

\(\mathbf{P_2(x) = 1+\dfrac{x^2}{2}}\)

Is the square root of 85 a rational number

Answers


Since 85 is not a perfect square, it is an irrational number. This means that the answer to "the square root of 85?" will have an infinite number of decimals.

The instructor noted the following scores on the last quiz of the semester for 8 students. Find the range of this data set 59,61,83,67,81,80,81,100

Answers

answer: the range is 41.

to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.

then we subtract the minimum from the maximum.

59 - 100 = 41.

The brain volumes (cm³) of 20 brains have a mean of 1085.2 cm³ and a standard deviation of 125.6 cm³. Use the
given standard deviation and the range rule of thumb to identify the limits separating values that are significantly low or
significantly high. For such data, would a brain volume of 1386.4 cm³ be significantly high?

Answers

If the brain volumes (cm³) of 20 brains have a mean of 1085.2 cm³ and a standard deviation of 125.6 cm³. For such data: it is significantly low for a brain because 1386.4 cm³ is less than the upper limit.

How to find the lower and upper limits?

Mean = 1085.2 cm³

Standard deviation = 125.6 cm³

Hence,

Lower limit = Mean - 2 x Standard deviation

Lower limit  =1085.2 - 2 x 125.6

Lower limit =1161.2 - 251.2

Lower limit  =910

Upper Limit = Mean + 2 x Standard deviation

Upper Limit = 1161.2 +  2 x 125.6

Upper Limit =1161.2 +251.2

Upper Limit =1412.4

The limit of values is from 910 to 1412.4.

A value below 910 will be is considered low and a value above 1412.4  will be considered high

Therefore 1386.4 cm³ is less than the upper limit. Thus it is significantly low for a brain.

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write 819 in base five

Answers

819 in base five is equal to 13134.

Define base five.

Base five is a positional numeral system used in mathematics, having 5 as its base or radix. This means that it represents any real number using five different symbols, often the digits 0, 1, 2, 3, and 4. The ones place is represented by the digit on the right, the place of the five by the digit to the left, the twenty-fives place by the digit after that, and so on. Each digit in base five represents a multiple of a power of five.

To write 819 in base five:

Find the largest power of 5 that is less than or equal to 819: 5^4 = 625.Divide 819 by 625 to find how many 5^4's are in 819: 819 / 625 = 1 with a remainder of 194.Write down the result (1) in the 5^4 place (leftmost digit).

Repeat steps 1-3 with the remainder (194):

5^3 = 125194 / 125 = 1 with a remainder of 69Write down the result (1) in the 5^3 place (second digit from left).

Repeat steps 1-3 with the remainder (69):

5^2 = 2569 / 25 = 2 with a remainder of 19Write down the result (2) in the 5^2 place (third digit from left).

Repeat steps 1-3 with the remainder (19):

5^1 = 519 / 5 = 3 with a remainder of 4Write down the result (3) in the 5^1 place (second digit from right).

The remainder (4) is less than 5, so write it down in the 5^0 place (rightmost digit).

Combine all the digits: 13134.

Therefore, 819 in base five is equal to 13134.

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Helen spends £699 on a plane ticket and $105 on airport tax. Using £1 = $1.34, what percentage of the total cost does Helen spend on airport tax?
Give your answer rounded to 1 dp.
%

Answers

Answer:

11.2% (to 1 dp)

Step-by-step explanation:

Convert the cost of the airport tax to £:

105 / 1.34 = 5250/67 = 78.35820896 = £78.36

Now calculate the percentage of the total cost of £699:

(78.36 / 699) x 100 = 11.2% (to 1 dp)

Find possible values of a and b that make the statement true.

Find possible values of a and b that make the statement true.

Answers

Answer

(a, b) = (-4, -1)

Explanation:

Given that:

\(\int_a^cf(x)dx=\int_a^bf(x)dx+\int_b^cf(x)dx\)

We have:

\(\begin{gathered} \int_{-4}^7f(x)dx=\int_{-1}^7f(x)dx+\int_a^bf(x)dx \\ \\ \int_{-4}^7f(x)dx=\int_{-1}^7f(x)dx+\int_{-4}^{-1}f(x)dx \end{gathered}\)

Therefore, we say a = -4, b = -1

Dwayne is trying to find the fraction represented by the repeating decimal 0.5. He completes the three steps shown:

1) Let x = 0.5

2) 10x = 5.5

3) 10x = 5.5
-x = 0.5
________
9x=5
what is the fraction equivalent of 0.5?
A. 9/5
B.4/9
C. 5/9
D. 5/13

Answers

Answer:

C. 5/9

Step-by-step explanation:

10x = 5.5

  -x = 0.5

9x = 5

x = 5/9

therefore, the answer is C. 5/9

HELP PLEASE ASAP!!!!

HELP PLEASE ASAP!!!!

Answers

The measure of  angle m∠PZQ is 63degrees.

How to find an angle?

A point where two or more line segments meet is called a vertex.

The vertex point also forms an angle.

Therefore,

point P is in the interior of ∠OZQ,

Hence,

<OZQ = <OZP +  m∠PZQ

The following angles are given:

m∠OZQ = 125°

m∠OZP = 62°

Substitute the given values into the expression above:

125 = 62 +  m∠PZQ

m∠PZQ = 125 - 62

m∠PZQ = 63°

Therefore, the measure of  the angle m∠PZQ is 63degrees

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geometry please helpp

geometry please helpp

Answers

Answer:

(1)

Step-by-step explanation:

11111111111111111111111

You and your partner buy 2 new phones which you pay off monthly. The cost of each phone is $600 which you will pay off over 2 years with 0% interest. How much do you pay each month?

Answers

$50 each month

Explanation:

600x2 $1200 total

12months•2= 24 months
1200\24=50

what type of data would best be displayed in a box plot

Answers

Answer:(2x+7)+(2x+7)

Step-by-step explanation:

what you do is put 2x on the top and on the side and then seven on the top and on the side and then you got your answer

20 POINTS! PLEASE HELP
what's the standard form of the equation of the parabola with a focus at (-3,2) and directrix at 4

Answers

The standard form of the equation of the parabola with a focus at (- 3, 2) and directrix at y = 4 is - 4 · (y - 3) = (x + 3)².

How to determine the standard form of the equation of the parabola

In accordance with the information presented in the statement, we find a parabola whose axis of symmetry is parallel to the y-axis. The location of the vertex is the midpoint of the segment between the focus and a point of the directrix.

V(x, y) = 0.5 · (- 3, 4) + 0.5 · (- 3, 2)

V(x, y) = (- 3, 3)

The distance between the focus with respect to the vertex (p) is:

D(x, y) = F(x, y) - V(x, y)

D(x, y) = (- 3, 2) - (- 3, 3)

D(x, y) = (0, - 1)

Which a distance equal to - 1.

The standard form of the equation of the parabola is based on this model:

4 · p · (y - k) = (x - h)²             (1)

Where (h, k) are the coordinates of the vertex.

If we know that (h, k) = (- 3, 3) and p = - 1, then the standard form of the equation of the parabola is:

- 4 · (y - 3) = (x + 3)²

The standard form of the equation of the parabola with a focus at (- 3, 2) and directrix at y = 4 is - 4 · (y - 3) = (x + 3)².

Remark

The statement has typing and orthographical mistakes. Correct form is presented below:

What is the standard form of the equation of the parabola with a focus at (x, y) = (- 3, 2) and directrix at y = 4.

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Bob is x years old. His brother, Matt, is 4 years older than Bob. Their aunt, Lana, is 5 years less than twice Matt’s age.
          Write and simplify an expression that represents Lana’s age in years.

Answers

Answer:

9 9 years 9999999999999

Use the graph of f below. Assume the entire function is graphed below

Use the graph of f below. Assume the entire function is graphed below

Answers

The values of x when f(x) = 0 are -2 and 4

How to determine the values of x

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

The graph

On the graph, we have the following readings

(-2, 0) and (4, 0)

This means that the values of x when f(x) = 0 are

x = -2 and x = 4

Hence, the values are x = -2 and x = 4

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Renata is purchasing a condominium for $125,000. She wants to put down a down payment of 20%. Select all the true statements. The proportion that represents the down payment is 20100=125,000 20 100 = 125 , 000 x . The down payment is $25,000. The proportion that represents the down payment is 20100=125,000 20 100 = x 125 , 000 . The down payment is $50,000. The down payment is 15 1 5 of the cost of the house.

Answers

The correct options are -

The proportion that represents the down payment is : 20/100 x 125000.The down payment is $25,000

What is down payment?

When something is bought on credit, an initial payment is made in the form of a down payment.

Given is that Renata is purchasing a condominium for $125,000. She wants to put down a down payment of 20%.

We can calculate the amount she is putting in down payment as -

{x} = 20% of 125000

{x} = 20/100 x 125000

{x} = 20 x 1250

{x} = 25000

Therefore, the correct options are -

The proportion that represents the down payment is : 20/100 x 125000.The down payment is $25,000

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10. A pipe whose diameter measures 1 1/4 inches should have less threads per inch than a pipe with a diameter of _______ inch.
A. 3
B. 1/2
C. 1
D. 11/2 ​

Answers

A pipe whose diameter measures 1 1/4 inches should have less threads per inch than a pipe with a diameter of 11/2 inch. So, the correct answer is (D).

To determine the correct answer, we need to compare the diameters of the two pipes and understand the relationship between pipe diameter and threads per inch.

The number of threads per inch generally decreases as the pipe diameter increases. This means that a larger pipe diameter will have fewer threads per inch compared to a smaller pipe diameter.

Given that the first pipe has a diameter of 1 1/4 inches, we need to find the pipe diameter from the options that is larger than 1 1/4 inches.

The option that meets this requirement is D. 11/2. This represents a pipe diameter of 1 1/2 inches. Therefore, a pipe with a diameter of 1 1/2 inches should have fewer threads per inch than a pipe with a diameter of 1 1/4 inches. Therefore, the correct answer is D. 11/2.

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Mackenzie has a 30 ounce soft drink. She drinks 28 ounces. Enter the percentage of ounces Mackenzie has left of her soft drink. Round your answer to the nearest hundredth.

Answers

Answer:

100

Step-by-step explanation:

30-28=100 if u round it to thr nearest hundreth because

30 2-2=0

- 18-8=10

-28

10 rounded to tye nearest hunderth is 100

Other Questions
Part B Which passage from the selection best supports the answer to Part A (question 1)?Question 2 options:Im very sorry, Lady, whispered the boy.Theres nobody home at my house, said the boy.You gonna take me to jail? asked the boy.Do you need somebody to go to the store, asked the boy.... n unit-vector notation, what is the torque about the origin on a particle located at coordinates (0, 4.0 m, 3.0 m) if that torque is due to (a) force F1 with components F1x = 2.0 N, F1y = F1z = 0, and (b) force F2 with components F2x = 0, F2y = 2.0 N, F2z = 4.0 N? Truckel, Inc. currently manufactures a wicket as its main product. The costs per unit are as follows: Direct materials and direct labor $11 Variable overhead 5 Fixed overhead 8 Total $24 Saran Company has contacted Truckel with an offer to sell it 5,000 of the wickets for $18 each. If Truckel makes the wickets, variable costs are $16 per unit Fixed costs are $8 per unit: however, $5 per unit is unavoidable. Should Truckel make or buy the wickets? a. Buy: savings = $15,000 b. Buy: savings = $5,000 C. Make, savings = $10,000 d. Make; savings = $5,000 Multiply. Write your answer in simplest form 1/3 x 1/6 please help me please PLS HELP ME!!!!!!! URGENT! The amount a hardware store pays for buying nylon rope is represented by the equation y = 0.08x, where 'y' is the price it pays for 'x' feet of rope. The amount the hardware store charges for selling the rope is represented by the graph. Part A What does the slope of the graph show about the hardware store's selling price for the rope? On January 1,2021 , Bailey purchased a corporate bond with a maturity value of $50,000 on the secondary market for $54,055. The bond has a coupon rate of 10% and matures in five years. The bond yields 8% annual before-tax returns, compounded seml-annually. What is the minimum amount of interest income that Bailey can report on her 2021 tax return? a. 50 b. $689 c. $4,000 d. $4,311 e. $5,000 HELP ASAP!!! ILL GIVE LOTS OF POINTS AND BRAINLISTPLEASE SHOW HOW YOU GOT THE ANSWER! Which type of music would be written for church use?sacredmadrigalmotetsecular Six different colored dice are rolled. Of interest is the number of dice that show a one.Find the probability that all six dice show a one. Find the minimum magnitude of the acceleration amin of the car. express your answer in meters per second per second to the nearest integer. which expression is equivalent to the following complex fraction? (pls help me out) One effect of the interchangeable parts method was: __________ If I ___________(go) abroad ,I'll bring you presents. PLEASE help, I'm begging, this was due to all the way back at November 12th, please help!!! Finding the Inverse of a Function Algebraically Practice Pt. 2 The objective of __________ research is to gather preliminary information that will help define the problem and suggest hypotheses. what is the scale factor from ABC to DEF Which of the following will not occur in response to UV exposure if a p53 mutation inactivates the p53 protein?1. Damage to DNA2. p53 activation3. p21 activation4. Apoptosisa. 1, 2, and 3b. 3 and 4c. 3d. 2, 3, and 4 All of the following are part of the New Jersey ABC test for examining the classification of employees versus independent contractors except which one?The worker is customarily engaged in an independent tradeIf the worker has been or will continue to be free from control or direction over the performance of workThe work is outside the usual course of business or performed outside the usual place of business of the employerIf the worker is paid on a 1099 instead of a W2