Suppose a certain manufacturer deposits $7,000 at the beginning of each 3 month period for 8 years in an account paying 8% interest compounded quarterly.

Required:
a. How much (in $) will be in the account at the end of the 6 year period?
b. What is the total amount (in $) of interest earned in this account?

Answers

Answer 1

9514 1404 393

Answer:

  a) $217,212.10 after 6 years

  b) $91,780.99 interest earned

Step-by-step explanation:

The future value of this "annuity due" can be found using the formula ...

  FV = P(1 +n/r)((1 +r/n)^(nt) -1)

where P is the periodic payment made n times per year and r is the annual interest rate.

a) After 6 years, the value of the account is ...

  FV = $7000(1 +4/0.08)((1 +0.08/4)^(4·6) -1) = $217,212.10 . . . . 6-yr balance

__

b) After 8 years, the value in the account is ...

  FV = $7000(51)(1.02^32 -1) = $315,780.99

The total of payments is $7000×32 = $224,000, so the interest earned is ...

  I = $315,780.99 -224,000 = $91,780.99 . . . interest earned


Related Questions

Each row in A parking lot has 15 spaces. How many spaces could be in the parking lot. Give 5 possibilities. PLS HELP ME PLS

Answers

Answer: 30, 45, 60, 75, 90

Step-by-step explanation: you will use multiples of 15 to find the answer. Detail given below:

1. if parking lot have 2 rows then 30 spaces

2. if parking lot have 3 rows then 45 spaces

3. if parking lot have 4 rows then 60 spaces

4. if parking lot have 5 rows then 75 spaces

5. if parking lot have 6 rows then 90 spaces

Write an equation that means the same as the words in the photo (I’m not asking for you to solve the equation just to turn the words in the photo into an equation)

Answers

Answer:

4x-9

Step-by-step Explanation:

The population of cats in a shelter decreased from 100 to 55. What is the percentage decrease of the shelter's cat population?

Answers

Answer:

70%

Percentage of cats euthanized in shelters: 70%9 Dec 2020

-3(-2w+3y-6) what’s the answer

Answers

[tex] - 3( - 2w + 3y - 6) \\ = 6w - 9y + 18[/tex]

I hope I helped you^_^

Hi there!  

»»————- ★ ————-««

I believe your answer is:

[tex]6w-9y+18[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Simplifying the Expression...}}\\\\-3(-2w+3y-6)\\-------------\\\rightarrow -3 * -2w = 6w\\\\\rightarrow -3 * 3y = -9y\\\\\rightarrow -3 * -6 = 18\\\\\rightarrow -3(-2w+3y-6)= \boxed{6w-9y+18}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

In the 2007–2008 season,
Dwayne Wade made 439 field goals out
of 937 attempts. What was Dwayne
Wade’s ratio of successful field goals to
attempts? Write your answer as both a
fraction in simplest form and a decimal
rounded to the nearest thousandth.

Answers

Answer:

Step-by-step explanation:

Answer as a fraction = 439/937

Answer as a decimal = 0.469

===================================================

Explanation:

He made 439 baskets out of 937 attempts. So we simply form the fraction 439/937. The number of makes or successes is up top, while the number of attempts is at the bottom. The order is important.

Both 439 and 937 are prime numbers. This means the faction 439/937 cannot be reduced. So we leave it as is.

----------------

You can use a calculator or long division to find that

439/937 = 0.4685

which is approximate. Rounding to the nearest thousandth (i.e. 3 decimal places) will lead us to 0.469

If we were to move the decimal 2 spots to the right, then we convert to percent form and that's roughly 46.9%

I'm stup!d guys pls help me ;-;

Which of the following angles DOES NOT have equal measure when a pair of parallel lines is crossed by a transversal?

Answers

Answer: we might have come across different types of lines such as parallel lines, perpendicular lines, intersecting lines, and so on. Apart from that, we have another line called transversal.                                                                                    

This can be observed when a road crosses two or more roads or a railway line crosses several other lines. These give a basic idea of a transversal. Transversals play an important role in establishing whether two or more other lines in the Euclidean plane are parallel.

In this article, you will learn the definition of transversal line, angles made by the transversal with parallel and non-parallel lines with an example.  

SOOO in English its LM is the transversal made by the parallel lines PQ and RS such that:

The pair of corresponding angles that are represented with the same letters are equal.

If two parallel lines are cut by a transversal, each pair of alternate interior angles are equal. Transversal property 2

The picture above is what I’m stuck on Algebra

Answers

Answer:

Inequality

2x > 14

Solution

x > 7

Step-by-step explanation:

Twice of a number = 2x or 2 * x

Is more than 14 = > 14

Put these 2 descriptions together

2x > 14

Then divide each side by the coefficient

2x / 2 = x > 14 / 2 = x > 7

Answer:

2x > 14

Any number above 7.

Step-by-step explanation:

"Twice a number (x) is more than 14." can be written as 2x > 14.

Breakdown:

2x > 14 for Twice a number (x) is more than 14.

2x > 14 for Twice a number (x) is more than 14.

2x > 14 for Twice a number (x) is more than 14.

The solution to the inequality is any number above 7.

Determine whether (a) x = -1 or (b) x = 2 is a solution to this equation

X+1.5=3.5

Answers

Answer:

x = 2

Step-by-step explanation:

x + 1.5 = 3.5

  -1.5      -1.5                   minus 1.5 from both sides

--------------------

x = 2

solve for x of the given angle ​

Answers

Answer :

<LMN = 125°

<MPQ = 125°

36 34
What whole number is equivalent to the value of the expression
?
(32)41
Use the number pad to enter your answer in the box.
The value of the expression is equivalent to the whole number

Answers

Bjjbjk ha shower eke

please help meeee out

Answers

Answer:

between 15.5 and 16

Step-by-step explanation:

which std

What happens to the new image if the scale factor of the original image to new image 1:3

Answers

Answer:

The new image will be 3x bigger than the original image.

Am marking the brainliest. Please help me solve this mathematics question.

Answers

Explanation:

Use the identity [tex]\sin{\theta} = 1 - \cos^2{\theta}[/tex] so we can write our equation as

[tex]6(1 - \cos^2{\theta}) - \cos{\theta} - 5 = 0[/tex]

or

[tex]6\cos^2{\theta} + \cos{\theta} - 1 = 0[/tex]

Let [tex]x = \cos{\theta}[/tex] so our equation becomes

[tex]6x^2 + x - 1 = 0[/tex]

Using the quadratic equation, we find that its roots are

[tex]x = \dfrac{-1 \pm \sqrt{(1)^2 - 4(6)(-1)}}{2(6)} = \dfrac{1}{3},\:-\dfrac{1}{2}[/tex]

which gives us

[tex]\cos{\theta} = \dfrac{1}{3} \Rightarrow \theta = 70.53°[/tex]

[tex]\cos{\theta} = -\dfrac{1}{2} \Rightarrow \theta = 120°[/tex]

Which ordered pair is the solution to this system of equations. X + y = 6. X=y + 2

Answers

Answer:

(4,2)

Step-by-step explanation:

x+y=6 and x=y+2, sub the second equation in the first equation, y+2+y=6, y=2 and x=y+2=4

Y= - 1/2x + 5/2 what are the table solutions

Answers

Answer:

[tex]y = - \frac{1}{2} x + \frac{5}{2 } \\ y = \: x ( - \frac{1}{2}) + \frac{5}{2} \\ y = - \frac{6}{2} x \\ y = - 3x \\ \frac{y}{3} = x[/tex]

Help please thanksss!!​

Answers

Answer:

4.  3,52  - Tenths                

   0.352 - Hundredths

5.  65.09 - Ones

   7.005 - Thousandths

6.  753.4 - Tens

    0.051 -  Hundredths

How would I write 4 less than half a number is 12 as an equation?

Answers

Answer:

[tex]4 - \frac{1}{2}x = 12 [/tex]

I hope it helps

please mark me brainliest

Answer:

[tex]number = x \\ \frac{x}{2} - 4 = 12 \\ \frac{x}{2} = 12 + 4 = 16 \\ \frac{x}{2} = 16 \\ x = 16 \times 2 = 32[/tex]

I need help with this.

Answers

9514 1404 393

Answer:

  61.4

Step-by-step explanation:

The length of two semicircles of diameter 10 is the circumference of a circle of that diameter:

  C = πd = 10π ≈ 31.4

The perimeter includes that length plus the lengths of two straight sides that are 15 units each.

  P = 31.4 + 2×15

  P = 61.4 . . . . units

Find the geometric probabilty of landing in the shaded area of the picture. The small circle has a diameter of 20 in and the larger circle has a diameter of 48 in. Round to the nearest hundredth place. Show and explain all work.

Answers

Answer:

0.17

Step-by-step explanation:

find the area of both circles:

small: 10^2 *pi=100pibig: 24^2 *pi=576pi

then find the ration of the area of the small circle to the area of the large circle: 100pi/576pi (you can cancel out the pi here to get 100/576) -> 0.1736

round to the nearest hundredth and you get 0.17

The sum of three times a number, x, and 12

Answers

Answer:

the number of the x is 5 and the number of the Y is 10

Step-by-step explanation:

school

Not really sure how to solve this

Answers

Okay so you multiply with the 4 outside of the parentheses
2 times 4 is 8
8a
4 times 3 is 12
So 8a^12
B times ^4 it’s just B
4 times 4 is 16

So the answer is B
Hope this help *smiles*

If y= 2x+3, find the value of y when x= 2.

Answers

Answer:

7

Step-by-step explanation:

subtitue x=2 in given equation as:

y= 2(2)+3

y= 4+3

y=7

elements discovered by marie curie​

Answers

Answer:

in 1898 the Curies discovered two new radioactive elements: radium (named after the Latin word for ray) and polonium (named after Marie's home country, Poland).

Step-by-step explanation:

Radium

Polonium

calculate the percentage increase for the price of a book increasing from 250 to 275.50​

Answers

Step-by-step explanation:

increase in price=275.50-250

=75 .50

now,in precent

( increase in price÷initial price )×100%

=(75.50÷250) ×100%

= 30.2%

Answer:

250×275.50

68,875

answer is 68,875

2 Rodney owns 5 shirts for every 2 pairs of jeans he owns. Draw a model to
represent the two quantities and then write a ratio to compare the quantities.
Explain your reasoning.

Answers

Ratios are used to show the relationships between 2 or more related variables.

The ratio that compare the quantities is: [tex]x : y = 5 : 2[/tex].See attachment for the model

Let

[tex]x \to[/tex] Shirts

[tex]y \to[/tex] Pair of jean

The given parameter can be represented as:

5 shirts = 2 pairs of jeans

Replace the terms with their variables

[tex]5x = 2y[/tex]

Represent as a ratio:

[tex]x : y = 5 : 2[/tex]

Hence, the ratio that compares the two quantities is: [tex]x : y = 5 : 2[/tex]

See attachment for the model that represents the two quantities

Learn more about ratios at:

https://brainly.com/question/13419413

if the sum of three consecutive integer is 75 ..then what is the greatest possible value of smallest one

Answers

Answer:

If sum were 75 the integers would be 24, 25 and 26, so the next lowest/smallest sum would be 23 + 24 + 25 is 72. The answer is 23.

Answer:

smallest value=24

Step-by-step explanation:

steps are in picture.

Note:If you have any confusion you can ask me.

Expression sum for 18 and 12 subtracted from 50

Answers

Answer:

50 - (18+12)

Step-by-step explanation:

First write the sum of 18 and 12 in parenthesis. (18+12)

Then you  write 50 - in the beginning of the expression because the sum of (18+12) will be substracted "from"  50.

I need help with finding the pair of angles

Answers

Answer:

Straight

Step-by-step explanation:

supplementary means sum of two angles

with 180

Can someone do number 4 please. and show the work if you can

Answers

Step-by-step explanation:

[tex]\overline{CA} + \overline{AT} = \overline{CT}[/tex]

Since A is the midpoint, then [tex]\overline{CA} = \overline{AT}.[/tex] Therefore, we can write

[tex]2x + 8 = 4x + 2 \Rightarrow x = 3[/tex]

Using this value for x, we can write

[tex]\overline{CT} = \overline{CA} + \overline{AT}[/tex]

[tex]\:\:\:\:\:\:\:\:= (2x + 8) + (4x + 2)[/tex]

[tex]\:\:\:\:\:\:\:\:= 2(3) + 8 + 4(3) + 2 = 28[/tex]


let help and step by by explanation ​

Answers

Answer:

225

Step-by-step explanation:

The sides of the small square is 5 m

There are 5 full shaded squares and 8 half squares

Shaded squares = fully shaded small squares + half squares

S = F + H

F = 5x5x5 = 125

H = 8/2 x 5² = 100

S = 100 + 125

S = 225

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