Fabian has a savings account balance of $1,374.73. The interest rate on the account is %3.9 compounded twice a year. If he opened the account nine years ago, what was the value of his deposit?

Answers

Answer 1

The effective interest given that the account is compounded semi-annually is calculated through the equation,

ieff = (1 + i/n)^m - 1

Substituting the known values,
ieff = (1 + 0.039/2)^2 - 1
ieff = 0.0394

The value of the initial investment can be calculated through the equation,
F = P x (1 + ieff)^n

P = F / (1 + ieff)^n

Substituting the known values,
P = ($1374.73) / (1 + 0.0394)^9

P = $971.06

ANSWER: $971.06

Related Questions

How many different 9 letter words can be formed from the letters in the word statistics?

Answers

2 one is attiscists and statistics

What is the slope of the line passing through the points (1, −5) and (4, 1)? −45 54 2 −2

Answers

Slope=m=(y2-y1)/(x2-x1)
m=(1-(-5))/(4-1)
m=(1+5)/(3)
m=6/3
Slope=m=2

Answer:

Slope of the line passing through the points (1, −5) and (4, 1) is 2 .

Step-by-step explanation:

The equation of the slope is given by

[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

As given

line passing through the points (1, −5) and (4, 1) .

[tex]m = \frac{1-(-5)}{4-1}[/tex]

[tex]m = \frac{1+5}{4-1}[/tex]

[tex]m = \frac{6}{3}[/tex]

m = 2

Therefore the slope of the line passing through the points (1, −5) and (4, 1) is 2 .

If events A and B are independent, find P(A|B)

Answers

The answer would be A. P(A)

Answer:A

Step-by-step explanation:

A Blackjack hand is often dealt with one card face up and one card face down. What is the probability that the sum of your two cards will be exactly 21 if the face up card is an Ace? (Assume no other cards have been dealt so far.)

Answers

4/52 is your answer

hope this helps

Simplify 12.6h + 4.5k – 1.5h.

Answers

You want to combine your like terms. So you will combine both h terms.
12.6h - 1.5h = 11.1h
There is not anythings to combine with the k term, so you just leave it as is.
Your answer would be:

11.1h + 4.5k

The answer is 11.1h + 4.5k

The ninth grade class at a local high school needs to purchase a park permit for $250.00 for their upcoming class picnic. Each ninth grader attending the picnic pays $0.75. Each guest pays $1.25. If 200 ninth graders attend the picnic, which inequality can be used to determine the number of guests, , needed to cover the cost of the permit?

Answers

200*0.75=150
250-150=100
100/1.25=80
g is greater than or equal to 80

How many seconds are in a stopwatch showing 4 hours 3 minutes and 10 seconds?

Answers

4(3600) + 3(60) + 10
=14400 + 180 +10
= 14590 seconds

4 hrs 3 minutes 10 seconds

1 hr = 60 minutes...so 4 hrs = (4 * 60) = 240 minutes....
so we now have 240 + the 3 minutes = 243 minutes and 10 seconds

1 minute = 60 seconds.....so 243 minutes = (243 * 60) = 14580 seconds

so we end up with 14580 seconds + 10 seconds = 14590 seconds <==

A plane is a ___ (one-dimensional, two-dimensional, three-dimensional) figures. The intersection of two olanes that do not coincide (if it exists) is a ___ (point, line, angle).

Answers

A plane is 3 dimensional or 3D because it is not flat. The intersection of two planes would make an angle.

A plane is a two-dimensional figure.
The intersection of two planes that do not coincide is a line.

A fire truck has a long ladder that is made of 3 sections. Each section is 43/4 meters long.
How long is the ladder when all 3 sections are extended to make one long ladder

Answers

You need to simplify the improper fraction into a mixed number.

43/4 = 10 3/4 (or 10.75)
You will want to have your answer as a mixed number, but multiplying might be easier if you use the decimal for calculations.

Now you multiply your mixed number or decimal by 3 (3 sections).

10.75 * 3 = 32.25 or 32 1/4

Your answer would be 32 1/4 meters.

Hope this helps :)

if there is a vertical line that intersects the graph of a relation in more than one point then the relation is a function true or false

Answers

I would say true! :)
A function involves more than one variable, so I would say that your question fits the bill!

PLEASE HELP!!!! 25-30 points! : )

#1 Solve the proportion.

13-b / 6 = 2-0.5b / 4

A. 72

B. 32

C. 40

D. 64

Please exlpain your answer! :)

#2 Solve the proportion.

x-9 / 3 = 5 / 13

A. 84/5

B. 15/13

C. 132/13

D. 24/13

Please explain your answer! :)

#3 Solve the proportion.

w+14 / 4w+6 = 3/4

A. 19/4

B. 15/28

C. 2/7

D. 8/19

Please explain your answer! :)

#4 Solve the proportion.

x-8 / 5 = 2/4

A. 5/2

B. 9/2

C. 18

D. 21/2

Please explain your answer! :)

Answers

(13 - b) / 6 = (2 - 0.5b) / 4
cross multiply
6(2 - 0.5b) = 4(13 - b)
12 - 3b = 52 - 4b
-3b + 4b = 52 - 12
b = 40 <==
====================
(x - 9) / 3 = 5/13
cross multiply
13(x - 9) = 3 * 5
13x - 117 = 15
13x = 15 + 117
13x = 132
x = 132/13
===================
(w + 14) / (4w + 6) = 3/4
cross multiply
3(4w + 6) = 4(w + 14)
12w + 18 = 4w + 56
12w - 4w = 56 - 18
8w = 38
w = 38/8 which reduces to 19/4
=====================
(x - 8) / 5 = 2/4
cross multiply
4(x - 8) = 2 * 5
4x - 32 = 10
4x = 10 + 32
4x = 42
x = 42/4 which reduces to 21/2
===================
sorry but I am not exactly sure how to " explain " my answers

The expression 33n+13f+7p+10d represents the cost, in dollars, to purchase n cases of paper, ff packages of hanging folders, pp packs of pencils, and dd flash drives. Which statement is NOT true?

A.) The term 7p represents the cost for 7 packs of pencils.

B.) The coefficient 10 represents the cost of each flash drive.

C.) The coefficient 7 represents the cost of one case of paper.

D.) The term 13f represents the cost of ff packages of hanging folders at $13 per package.

Answers

A) The term 7p represents the cost for 7 packs of pencils.
This is because the 7 represent the cost for each pack of pencils, not 7
Hope this helped! If you please, mark as brainliest ^^

Answer:

A) The term 7p represents the cost for 7 packs of pencils.

Step-by-step explanation:

Have a good day ^.^

In isosceles triangle the length of the base is twice shorter than the length of a leg. The perimeter of this triangle is 50cm. Find the lengths of all sides.

Answers

x - length of a leg

1/2*x - length of the base

so:

[tex]P=2\cdot x+\dfrac{1}{2}x\\\\\\50=2x+\dfrac{1}{2}x\\\\\\50=2\dfrac{1}{2}x\\\\\\50=\dfrac{5}{2}x\quad|\cdot\dfrac{2}{5}\\\\\\x=50\cdot\dfrac{2}{5}\\\\\\x=\dfrac{100}{5}\\\\\\\boxed{x=20\text{ cm}}\qquad\qquad\text{(leg)}[/tex]

and

[tex]\dfrac{1}{2}\cdot x=\dfrac{1}{2}\cdot20=\boxed{10\text{ cm}}\qquad\qquad\text{(base)}[/tex]

To solve this question, we have to:

Understand the concept of an isosceles triangle.Use this concept, along with the perimeter concept, to build the equation to find the length of the sides.

Doing this, we get that the length of the base is 10 cm and the length of the legs is 20 cm.

Isosceles triangle:

In an isosceles triangle, two sides have the same measure. An example is given by the picture at the end of this answer.

Perimeter:

The perimeter of a polygon, in this case a triangle, is the sum of all it's sides.

In this question:

Perimeter of 50 cm;Two legs of l;Base is half the leg, so l/2.

Then, the equation is:

[tex]l + l + \frac{l}{2} = 50[/tex]

[tex]2l + \frac{l}{2} = 50[/tex]

[tex]\frac{4l + l}{2} = 50[/tex]

[tex]5l = 100[/tex]

[tex]l = \frac{100}{5}[/tex]

[tex]l = 20[/tex]

Thus:

The length of the legs is of 20 cm.The length of the base is of 20/2 = 10 cm.

A similar question is found at https://brainly.com/question/20321307

Find the vertex of the parabola f(x)=x2-6x+13

Answers

Rewrite in standard form using (h,k) to find the vertex.
(3,4) is the answer.

am-n=p (solve for a)

Answers

am-n=p

am=p+n

a=(p+n)/m

The value of a = (p + n) / m.

To isolate a in the given equation am - n = p, follow these steps:

Start with the original equation: am - n = p.

Add n to both sides of the equation to eliminate n from the left-hand side:
am - n + n = p + n
am = p + n.

Next, divide both sides of the equation by m to solve for a:
(am) / m = (p + n) / m
a = (p + n) / m

Therefore, a = (p + n) / m is the solution to the equation.

A sequence is defined recursively by the formula f(n + 1) = f(n) + 3 . The first term of the sequence is –4. What is the next term in the sequence?

A.) –7
B.) –1
C.) 1
D.) 7

Answers

f(n+1) = f(n) + 3 indicates that we add 3 to the previous term to get the next term

So,
next term = (previous term) + 3
second term = (first term) + 3
second term = (-4) + 3
second term = -1

Making the answer to be choice B) -1

Solve the equation. Round the result to the nearest hundredth.
14.1 - 0.3x = 1.3x - 4.2
Need help

Answers

multiply all sides by 10. make our life easier.

141-3x=13x-42
-16x=-183
divide by -16 both sides

x=11.4375

Answer:

X is the answer.

Step-by-step explanation:

Problem page nicole purchased a prepaid phone card for $30 . long distance calls cost 24 cents a minute using this card. nicole used her card only once to make a long distance call. if the remaining credit on her card is $18.24 , how many minutes did her call last?

Answers

49 minutes

30-18.24=11.76 dollars used

11.76/.24=49 mins

How Can I find ef? Do I multiply add or diving

Answers

[tex]\bf \stackrel{eg}{5x+8}-\stackrel{fg}{3x}=\stackrel{ef}{6x-4}\implies2x+8=6x-4\implies 12=4x \\\\\\ \cfrac{12}{4}=x\implies 3=x\qquad \qquad \stackrel{ef}{6(3)-4}[/tex]

and surely you know how much that is.

Maggie's brother is 4 years younger than three times her age. The sum of their ages is 52.

Answers

Greetings!

Let [tex]m[/tex] represent Maggie's age.
Let [tex]3m-4[/tex] represent Maggie's brother's age.

Equation:
[tex](3m-4)+(m)=52[/tex]
Solve for m.
[tex]4m-4=52[/tex]
Add 4 to both sides.
[tex](4m-4)+4=(52)+4[/tex]
[tex]4m=56[/tex]
Divide both sides by 4.
[tex](4m)/4=(56)/4[/tex]
[tex]m=14[/tex]

Maggie is 14 years old and her brother is 38 years old(14*3-4).

Hope this helps.
-Benjamin

Why does a horizontal line have a slope of zero, but a vertical line have an undefined slope?

Answers

Refer to the diagram shown below.
Define two positions on each line as A (x₁, y₁) and B(x₂, y₂).
Then the slope is
[tex]m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}} [/tex]

Horizontal line:
Define A (0, 1) and B (1,1).
The slope is
[tex]m= \frac{1-1}{1-0}=0 [/tex]

Vertical line:
Define A( (1,0) and B(1,1).
The slope is
[tex]m= \frac{1-0}{1-1}= \frac{1}{0} [/tex] (undefined)

Which equation represents a line that passes through (5, 1) and has a slope of ?

y – 5 = 1/2(x –1)
y – 1/2 = 5(x –1)
y – 1 = 1/2(x –5)
y – 1 = 5|x-1/2|

Answers

Answer:

ITS C

y -1 = 1/2 ( x -5)

The equation represents a line that passes through (5, 1) and has a slope of 1/2 is given by (A) y - 5 = 1/2 (x-1).

What is Slope?

The tangent value of the angle formed between a straight line and positive x-axis is called the Slope of that straight line.

If the slope of a line is m and the line is satisfied by point (a,b) then the equation of the line is given by,

y - b = m (x - a)

Here in the problem it is given that the slope is 1/2 and line passes thorugh (5,1).

So, a = 5, b = 1, m = 1/2

Hence the equation of the straight line is given by,

y - 5 = 1/2 (x - 1)

Hence the correct option is (A)

Your question is incomplete.Please find the missing content here:

Which equation represents a line that passes through (5, 1) and has a slope of 1/2 ?

?y – 5 = 1/2(x –1)

?y – 5 = 1/2(x –1)y – 1/2 = 5(x –1)

?y – 5 = 1/2(x –1)y – 1/2 = 5(x –1)y – 1 = 1/2(x –5)

?y – 5 = 1/2(x –1)y – 1/2 = 5(x –1)y – 1 = 1/2(x –5)y – 1 = 5|x-1/2|

Learn more about Slope here -

https://brainly.com/question/3493733

#SPJ2

Choose the formula for the volume of a cone V=1/3

Answers

If you know the cone volume and the cone radius, then
height = 3*Volume / PI * r^2

answer is D

What is the standard form of this number 15,000+7000+400+9

Answers

The answer would be 22409. Hope this helps!

Twenty-two thousand four hundred and nine is your answer

Plzz help me with this one i dont know what to do on this one

5x- 3(x-2)

Answers

the answer is 1 , because x-2 becomes 2x and you subtract 5x from 2x and and get 3x and 3/3 is 1

The sum of two numbers is 54 and the difference is 12 . what are the numbers?

Answers

x + y = 54

x - y = 12

x = 33

y = 21

33 + 21 = 54

33 - 21 = 12

Hope this helps!

Find the slope of the line that contains the following points. R(-3, 5), S(3, -2)

-7/6
7/6
undefined

Answers

'Ello.

Formula for slope: y2 - y1 / x2 - x1
Plug in the values.
-2 - 5/ 3-(-3) = -7/6 = slope
Slope = -7/6

Answer:

-7/6

Step-by-step explanation:

-2-5/3+3= -7/6

could 4.1 cm 8.4 cm and 1.3 cm be the side lengths of a triangle?

Answers

NO that's the answer xd because the sum of any 2 sides of a triangle must be greater than the measure of the third side...

Find p(x = 4) if x has a poisson distribution such that 3p(x = 1) = p(x = 2).

Answers

The formula for Poisson distribution is:

P (x) = e^-k * k^x / x!

We know that:

3P(x = 1) = P(x = 2)

Therefore:

3 [e^-k * k^1 / 1!] = e^-k * k^2 / 2!

Simplifying by cancelling similar terms:

3 / 1! = k / 2!

k = 3 * 2! / 1!

k = 6

So at x = 4:

P (x = 4) = e^-6 * 6^4 / 4!

P (x = 4) = 0.1339 or 13.39%

For any approximately normal distribution, how can we find the relative frequency of the scores?

Answers

We can, transform the raw scores to z-scores and use the standard normal curve to find the relative frequency of the scores.

I hope this helped!

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