Emily recently started a part time job. She is saving for a car, which she will need when she attends college next year. She plans to deposit $400 at the end of each month into an account that 3.6% per year, compounded monthly . How much will Emily have saved at the end of six months? pays​

Answers

Answer 1

Answer:

  $2418.07

Step-by-step explanation:

Problems involving the time-value of money are conveniently solved using a TVM app on a suitable calculator or spreadsheet. The result of doing that is shown in the attachment.

__

If you would like to compute the value of Emily's account by hand, the annuity formula is the one you want.

  A = Pn((1 +r/n)^(nt) -1)/r . . . . where r is the annual interest rate, n is the number of times per year it is compounded (12), t is the number of years (1/2), and P is the periodic payment into the acccount (400).

Using the given values in the formula, we have ...

  A = 400(12)((1 +0.036/12)^(12/2) -1)/0.036 = 4800×(1.003^6 -1)/0.036

  A ≈ 2418.07

At the end of 6 months, Emily will have saved $2418.07.

Emily Recently Started A Part Time Job. She Is Saving For A Car, Which She Will Need When She Attends

Related Questions

Solve the following:

four and seven twelfths plus six and nine twelfths

Answers

Ans:

11 and four twelfths

Step-by-step explanation:

If r = 11, t = 3, s = 9, then 8r - 10s =

Answers

Answer:

-2

Step-by-step explanation:

plug values for r and s into the equation 8r - 10s.

so, 8(11) - 10(9)

88 - 90 = -2

hope this helps!

8 x 11 - 10 x3 = -2

Use rounding to estimate the product of 296 and 2, 423. Round both
numbers to the nearest hundred to find your answer.
The solution is

Answers

Answer:

Step-by-step explanation:

no problem


296 rounded to the nearest hundred would be 300 and 2423 would be 2400 there hope it helps

The product of 296 and 2.423 rounded to the nearest hundred would be 717.20

What is rounding a number to some specific place?

Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.

Rounding to some place keeps it accurate on the left side of that place but rounded or sort of trimmed from the right in terms of exact digits.

We need to find the product of 296 and 2.423

296 x 2.423 = 717.20

Thus, 717.20 rounded to the nearest hundred .

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Find the domain of the rational function.

f(x)=x−7/x+8

Enter your answer in interval notation.

Answers

The domain of the function in interval form is (-∞, -8) U (-8, ∞)

How to find the domain of a function?

The domain of a function is the point where the real value of the function exists.

Given the funciton

f(x) = x - 7/x+8

The function will exist on all real values except the point where the denominator is zero.

x + 8 = 0

x = -8

The domain of the function in interval form is (-∞, -8) U (-8, ∞)

Learn more on domain here: https://brainly.com/question/25959059

Help please! I have to turn this in today.

:)

Answers

Answer:

Integer: 9

Nearest 10th: 9.5

Step-by-step explanation:

PLEASE HELP‼️ WILL MARK BRAINLIST‼️‼️

Answers

Firstly find the area of square.
Area of square - 4 x 4 = 16
Then, find the area of trapezium.
Area of trapezium - 1/2 x (base1 +base2) x height
Area of trapezium - 1/2 x (4+8) x 2
Area of trapezium - 12
Finally add both area of square and area of trapezium.
Total area= 12+16=28 cm^2

Answer:

A = 28 cm²

Step-by-step explanation:

area of square = 4 × 4 = 16 cm²

area of trapezium = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the height and b₁ , b₂ the parallel bases

here h = 2 , b₁ = 8 , b₂ = 4

area of trapezium = [tex]\frac{1}{2}[/tex] × 2 × (8 + 4) = 1 × 12 = 12 cm²

area of the logo (A) = 16 + 12 = 28 cm²

could i have some super quick help? :((
optionally would appreciate some help with what i posted here as well
https://brainly.com/question/27457645

Answers

Answer:

a)  y = (x - 3)²

b)  y = x² - 4

c)  y = (x + 2)²

d)  y = x² + 5

e)  y = (x + 6)² - 7

f)  y = (x - 2)² + 5

Step-by-step explanation:

Parent equation:  y = x²

Transformed equation:  y = (x - h)² + k

h translates the parabola horizontally

If h > 0 then the translation is h units to the right.

If h < 0 then the translation is h units to the left.

If h = 0 then there is no horizontal translation.

k translates the parabola vertically

If k > 0 then the translation is k units up.

If k < 0 then the translation is k units down.

If k = 0 then there is no vertical translation.

a) The parabola moves 3 units to the right:  

⇒ y = (x - 3)² + 0

⇒ y = (x - 3)²

b) The parabola moves 4 units down:

⇒ y = (x - 0)² - 4

⇒ y = x² - 4

c) The parabola moves 2 units left:  

⇒ y = (x + 2)² + 0

⇒ y = (x + 2)²

d) The parabola moves 5 units up:  

⇒ y = (x - 0)² + 5

⇒ y = x² + 5

e) The parabola moves 7 units down and 6 units left:  

⇒ y = (x + 6)² - 7

f) The parabola moves 2 units right and 5 units up:  

⇒ y = (x - 2)² + 5

y=(x-h)²+k

#a

3 units right in x axis

Equation

y=(x-3)²+0

#b

4 units down in y axis

y=(x-0)²-4

#c

2 units left in x axis

y=(x+2)²+0

#d

5 units up in. y axis

y=x²+5

#e

7units down in y axis and 6 units left in x axis

y=(x+6)²-7

Kevin has a part time job. he earns £9 an hour. he wants to buy a new bike costing £306. how many hours does Kevin have to work to earn enough to buy it?

Answers

Answer:

34

Step-by-step explanation:

306/9=34

The answer is 34
306 dollars divided by 9 the pay = 34 hours

how long does it last for Fanger print

Answers

Answer:

A fingerprint can last on a surface from 2 hours to 40 years on average.

Step-by-step explanation:

Most fingerprints will get erased due to impact from humidity and heat.

What is the area of a triangle that has a
base of 15 1/4 in. and a height of 18 in.?

PLS I NEED HELP ASAP
Thank youuuuuu

Answers

To find the area of the triangle

  ⇒ must know the area of the triangle's formula

     ⇒ [tex]\frac{1}{2} *base*height[/tex]

Let's look at the information given:

base length ⇒ [tex]15\frac{1}{4}[/tex] in ⇒ [tex]\frac{61}{4}[/tex] (when converted into an improper fraction)height length ⇒ 18 in

Let's solve:

 [tex]Area=\frac{1}{2} *base*height=\frac{1}{2} *\frac{61}{4} *18 = 137.55in^2[/tex]

Thus the area is 137.55 square inches

Hope that helps!

1. which expression is equivalent to 4(9+3).
Multiple Select three expressions

A. 4(12)
B. 36+3
C. 36+12
D. 4+(9+3)
E. (9+3) +(9+3) +(9+3) +(9+3)

Answers

Answer:

A. 4(12)

C. 36+12

E. (9+3) +(9+3) +(9+3) +(9+3)

Step-by-step explanation:

[tex]4(9+3)=48[/tex]

[tex]4*9=36\\4*3=12[/tex]

           [tex]48[/tex]

[tex]4*12=48[/tex]

[tex]36+12=48[/tex]

[tex](9+3) +(9+3) +(9+3) +(9+3)\\12+12+12+12[/tex]

=48

Question 1: What are the solutions to the following graph, and what is the equation of the axis of symmetry?
Question 3: What are the coordinates of the vertex of the graph, and is it a minimum or a maximum?
Question 4: Can a parabola have both a minimum and a maximum point? Explain.
Question 5: Look at the following quadratic function. What is the domain of this function?
A) -∞ B) -5 C) -2 D) -∞ Question 6: Look at the following quadratic function. What is the range of this function?
A) -2 B) -5<=y<∞
C) -∞ D) -∞

Answers

Q1: Solutions: x = 2 and x = 4, Axis of symmetry: x = 3.

Q3: (x, y) = (-3, 5).

Q4: A parabola cannot have both a minimum and maximum point because it is only bounded by its vertex.

Q5: [tex]x \in \mathbb{R}[/tex]

Q6: [tex]y \in [-5, + \infty)[/tex]

How to analyze second order polynomials graphically

Graphically speaking, second order polynomials are represented by parabolas. In this question we must interpret the graphs to find all the required information.

Question 1

The solutions to the graph are those values of x such that the graph goes through the x-axis and the axis of symmetry is a line that goes through the vertex ot the parabola and is perpendicular to the width of the curve.

Thus, the solutions to the graph are x = 2 and x = 4 and the axis of symmetry is x = 3. [tex]\blacksquare[/tex]

Question 3

The vertex is the extreme point of a parabola, which may be a minimum or a maximum, but never both. The vertex of the parabola is located at (x, y) = (-3, 5). [tex]\blacksquare[/tex]

Question 4

A parabola cannot have both a minimum and maximum point because it is only bounded by its vertex. [tex]\blacksquare[/tex]

Question 5

The domain of the function is defined by the set of x-values such that the function exists. Thus, the domain of the quadratic function is [tex]x \in \mathbb{R}[/tex]. [tex]\blacksquare[/tex]

Question 6

The range of the function is defined by the set of y-values such that the function exists. Thus, the range of the quadratic function is [tex]y \in [-5, + \infty)[/tex].  [tex]\blacksquare[/tex]  

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A recipe uses brown sugar and caster sugar in the ratio 3:2. What fraction of the sugar is caster?

Answers

Answer:

2/5 of the sugar is caster sugar

You buy tomatoes in 25 lb cases one portion of salad requires. 75 oz of tomatoes how many portions can be made with one case

Answers

1 lb = 16 oz
so 25 lbs = 400 oz

if each salad requires 75 oz and you have 400 oz, divide 400/75

400/75 = about 5.3

since you can’t really have a third of a salad, you will be able to make 5 FULL portions with one case

final answer: 5 portions

hope this helped!!

Create 2 data sets with 5 numbers that have the same mean but different medians.

Answers

Step-by-step explanation:

mean = sum of all data points / number of data points

median = the number, where half of the other numbers is larger, and the other half is smaller.

4 4 5 6 6

2 2 3 9 9

both mean values are 5.

the median of the 1st is 5, if the second is 3.

Need help with the answer

Answers

Answer:

sine(∡DAB) = 0.5

Step-by-step explanation:

∡[tex]ACD=[/tex]∡[tex]ADB[/tex] = 60°

∡[tex]DAB=(180-90-60)^{o} =30^{o}[/tex]

[tex]sin(30^{o})= 0.5[/tex]

Hope this helps

PLEASE HELP ITS DUE IN 10 MINUTES!!!!!

Answers

Answer:

76 Square Feet

Step-by-step explanation:

First, add all the numbers you see up. Your final answer of square feet will be the total you added up as a whole.

24+14+4+6+5+3+15+5= 76

Answer:

IM NOT. NNOT SURE BUT I THINK... the area may be 177? if i did it right, please check my equations though!

Step-by-step explanation:

so we first have to find the area of alllll the rectangles/squares in that weird squiggly shape

lets do the top

the width is 15 ft and the length is 5ft

so to find the area you have to do length times with so

A = lw

A = 15(5)

A = 75

so the first shape is 75

now lets do something real quick (im sorry this is all messed up infromation i have a dba (call) in like 16 mins and i gotta hurry. but illl come back if you need more explinations)

let first shape be f

let second shape be s

let third shape be t

let R be the area of the total shape

f + t + s = R

75 + t + s = R

now to find t

so the width would be 9ft and the length would be 8ft

A = lw

A = 9(8)

A = 72

75 + 72 + s = R

now to find s

the width is 5fth and the length is 6ft

A = lw

A = 6(5)

A = 30

now i think we add?

75 + 72 + 30 = R

75 + 102 = R

177 = R

i think the area is 177? (if i remeber how to do this correctly)

btw I will come back later and upload a pic of how i did it if you like. i must go now cause my teacher is gonna ask me civics questions and im so bad at that subject!!!!  

Given 2 points, fill in the slope formula
and calculate the slope of the equation.
(4, 6); (7, 12)

Answers

Answer:

Slope formula:

RISE: y2(second y-coordinate) - y1(first y-coordinate)

        ____________________________________

RUN: x2(second x-coordinate) - x1(first x-coordinate)

y2 - y1 / x2 - x1

Plug in what we have in the order given in the formula:-

 12 - 6           6

______ = ______, which simplifies to 2.

  7 - 4            3

Therefore, 2 is the slope of this equation.

Answer:

Slope: 2

Step-by-step explanation:

Given points:

(4, 6)(7, 12)

Slope formula: (y₂ - y₁)/(x₂ - x₁)

1. Substitue the coordinates of the points in the formula, which will determine the slope of the two points:

[Formula] Slope = (y₂ - y₁)/(x₂ - x₁)[Substitute] Slope = (12 - 6)/(7 - 4)

2. Simplify the fraction. The quotient will be the slope of the line.

[Simplify] Slope = (6)/(3) = 2

Thus, the slope of the line is 2.

Grandma baked 96 cookies and gave them to her grandchildren. One of the grandchildren, Cindy, received c fewer cookies than she would have received had all of the cookies been evenly divided among the 8 grandchildren.How many cookies did Cindy receive? Write your answer as an expression.

Answers

Answer: 29 cookies.

Step-by-step explanation: 96/8=32       32-3=29        boom. maths.

The number of cookies baked by Grandma= 96

If she divides them evenly amount 8 children, then by division operation the number of cookies received by each child = (number of cookies) ÷ (number of children)

= (96) ÷ (8) = 12

Since, Cindy, received c fewer cookies than she would have received had all of the cookies been evenly divided among the 8 grandchildren.

Hence, the number of cookies received by Cindy = 12-c

Which of the following will form the composite function G(F(x)) shown
below?
G(Fx)) = 3(/* +1)
A. Fx) = x + 1 and G(x) = 13x
B. Fx) = 3x and G(x) = 5x + 1
C. F(x) = 3x and G(x) = 1
D. F(x) = 5x + 1 and G(X) = 3x

Answers

Answer:

Step-by-step explanation:

A

The given composition function is combination is F(x)=√x+1 and G(x)=3x. Therefore, option D is the correct answer.

The given function is G(F(x))=3(√x+1).

F(x)=√x+1 and G(x)=3x

The composite function is G(F(x))

Replace x by √x+1 in 3x, we get

3(√x+1)

Therefore, option D is the correct answer.

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Calculate the value of X​

Answers

X=5.281
Please give me brainliest I need it

Victoria is at an elevation of 150 feet. She hikes down to an elevation of 120 feet in 40 minutes.
Then she hikes down to an
elevation of 100 feet in 30 minutes.

What is her average rate of descent, in feet per minute, from 150 feet to 120 feet?

Answers

The Victoria's average rate of descent by hiking down from an elevation of 150 feet to an elevation of 120 feet in 40 minutes is equal to 0.75 feet per minute.

How to determine the average rate of descent of a hiker

Geometrically speaking, the average rate of descent (r), in feet per minute, is represented by a secant line, which represents in this case the change in elevation (Δz), in feet, divided by the change in time (Δt). A mathematical description of the formula is shown below:

r = Δz/Δt     (1)

If we know that Δz = 30 ft and Δt = 40 min, then the average rate of descent is:

r = 30 ft/40 min = 0.75 ft/min

The Victoria's average rate of descent by hiking down from an elevation of 150 feet to an elevation of 120 feet in 40 minutes is equal to 0.75 feet per minute. [tex]\blacksquare[/tex]

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Renee bought her mother 2 pounds of ground coffee. Her mother uses 4 ounces per
day to brew coffee. Did Renee buy her mother enough coffee for a week?
Begin by converting 2 pounds to ounces. Choose the words and numbers to
complete the statements.
Part A
A pound is a Choose...
v unit than an ounce, so Choose...
the
number of pounds by 16 to find the number of ounces. Therefore, 2 pounds is equal
to Choose...
ounces.

Answers

Answer:

I do know Part B. No, Renees mom does not have enough, since 4 ounces per day, isn't enough coffee. Hope this helped!

Step-by-step explanation:

Help please i cannot fail!! What is the surface area of the pyramid?

Answers

Answer:

800

Step-by-step explanation:

Check out the attached photo

For the equation z – 14 = 29. Jaun says that the solution is 33.Check solution work by substitutions it into the equation .Is his solution correct. Explain

Answers

Answer:

Jaun's solution is incorrect.

Step-by-step explanation:

If Jaun's solution to the equation is 33, we can check this by substituting z=33 and solving 33 - 14 = 29. Since 33-14=19 and 19 does not equal 29, Jaun's answer is incorrect.

Hope this helps! :)

4. What is the difference between 34.062 And 2.87

M. 31.192
P. 31.292
R. 32.192
S. 33.775​

Answers

31.192 is the answer

If it costs $.25 per square yard to seed an area of grass, how much does it cost to seed in the inside of this track

51yd, 102yd, 51yd, and 110yd

Answers

The price that it cost to seed the inside of this track is $1,040.4

How to calculate the area of a rectangle

The formula for calculating the area of a rectangle is expressed as:

A  = length * width

Let the length be 51 and the width be 102 yd such that:

Area of the grass = 51 * 102
Area of the grass = 5202 square yard

If it costs $.25 per square yard to seed an area of grass, the price fror the area inside the track is:

Price = 0.2 * 5202
Cost of the track = $1,040.4

Hence the price that it cost to seed the inside of this track is $1,040.4

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If you’re 16 how many months would you have to live to be 66

Answers

Answer:

ig 2 months

Step-by-step explanation:

If you were born in 1955 your full retirement age is 66 and 2 months. If you start receiving benefits at age 66 and 2 months you get 100 percent of your monthly benefit. If you delay receiving retirement benefits until after your full retirement age, your monthly benefit continues to increase.

please help me on this

Answers

Answer:

monkey is monkey so monkey and monkey conbided = baby little happy monkey

Step-by-step explanation:

Find the perimeter of the figure.

Answers

The perimeter of the figure is 34 yd.
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