Find the interest generated if one invests $6000 for 9 years at 7% per annum with interest compounded monthly

Answers

Answer 1

Answer:

$5,245.06 (nearest cent)

Step-by-step explanation:

Compound Interest Formula

[tex]\large \text{$ \sf I=P\left(1+\frac{r}{n}\right)^{nt} -P$}[/tex]

where:

I = interest accruedP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsed

Given:

P = $6,000r = 7% = 0.07n = 12 (monthly)t = 9 years

Substitute the given values into the formula and solve for I:

[tex]\implies \sf I=6000\left(1+\dfrac{0.07}{12}\right)^{12 \times 9}-6000[/tex]

[tex]\implies \sf I=6000\left(\dfrac{1207}{1200}\right)^{108}-6000[/tex]

[tex]\implies \sf I=5245.061831...[/tex]

Therefore, the interest generated is $5,245.06 (nearest cent).

Learn more about compound interest here:

https://brainly.com/question/27747709

https://brainly.com/question/27806277


Related Questions

1 5/6 x 2 1/4 =
ANSWER ASAPPP . BE RIGHT AND EXPLAIN PLS

Answers

Answer:

25

Step-by-step explanation:

Answer:

[tex]4\ \frac{1}{8}[/tex] [tex]or[/tex] [tex]4.125[/tex]

Step-by-step explanation:

[tex]--------------------------------------------[/tex]

[tex]1\ \frac{5}{6}[/tex] = [tex]1.83333333333[/tex]

[tex]2\ \frac{1}{4}[/tex] = [tex]2.25[/tex]

[tex]1.83333333333\cdot2.25[/tex] = [tex]4.12499999999[/tex] = [tex]Rounds[/tex] [tex]to[/tex] [tex]4.125[/tex] = [tex]4\ \frac{1}{8}[/tex]

[tex]--------------------------------------------[/tex]

[tex]1\ \frac{5}{6}\cdot2\ \frac{1}{4}[/tex] = [tex]\frac{33}{8}[/tex] = [tex]4.125[/tex] = [tex]4\ \frac{1}{8}[/tex] [tex]--------------------------------------------[/tex]

Hope this helps! <3

[tex]--------------------------------------------[/tex]


y = -x + 5
Write in standard form. PLEASE SHOW WORK! WILL GIVE BRAINLY!

Answers

Answer:

x+y=5

Step-by-step explanation:

y=-x+5

add x to both sides

x+y=5

Answer:

x + y = 5

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Given

y = - x + 5 ( add x to both sides )

x + y = 5 ← in standard form

Bottles of water sell for $1.50 each.

Answers

you would graph it at 1.5

Step-by-step explanation:

which equation represent a relationship where y is a nonlinear function of x? Select all that apply

Answers

the question is a beat confusing please make it simplify

Translate the inequality into written language.
2x + 8 > -4

Answers

Answer:

two times x plus eight is greater than negative four

if this is right I will be surprised but still, hope this was right! Have a good evening :)

which inequality represents all values of x for which the quotient below is defined? ✓15(x-1) ÷ ✓2x^2​

Answers

Answer:

C. x ≥ 1

Step-by-step explanation:

A P E X

WILL MARK BRAINLIEST ANSWER HELP ASAP

Draw in the line of reflection where do I put the line?

Answers

Answer:

I believe the reflection line will be on x=1

Step-by-step explanation:

I tend to eyeball the reflection line to make it symmetrical, if I'm not much of a help I apologize

Danielle wants to paint her daughters room pink. She has two different plans: Plan A: Use 5 parts white and 2 parts red. Plan B: Use four parts white and 1 part red.
If "Danielle" needs a total of 3 gallons of paint, how much will need to be red and how much will need to be white to make the least red mix? Use the mix that you selected from part A. (DOK 3)

Answers

Answer:

If we are assuming that plan A produces a whole gallon then you would need 15 parts white and 6 parts red

Step-by-step explanation:

Write a inequality for the following questions :

To pass his math class, Manuel needed to earn a grade of at least 70%


You cannot spend more then 50 dollars


The occupancy of the room must be less then 437 people

Answers

Answer:

1.  >_ 70%

2. <_ 50

3. < 437

Step-by-step explanation:

Vicky reads at a constant rate. She can read 5 pages in 9 minutes. Write an equation to represent her constant rate

Answers

Answer:

15------_&667-&&677

Nelson is selling his photographs at an art festival the festival is open for 6 hours each day for 3 days at the conclusion of the festival Nelson has sold 54 photographs determine the number of photographs Nelson sold per hour.​

Answers

Answer:

3

Step-by-step explanation:

[tex]3*6=18[/tex]

[tex]54/18=3[/tex]

Since he sold for 6 hours over the course of 3 days. Convert that to 18 hours total selling time. divide the amount sold by the hours and there is your answer.

I'll give you 20 points please help and don't give a fake answer I don't wanna fail

Answers

Answer:

g(x) = 8x -15

Step-by-step explanation:

g(x) = 8(x-2) +1

      = 8x -16 +1

      = 8x -15

write the factorizations of the exponents below and then compute the exponents below

Answers

Given:

The exponents.

To find:

The factorizations of the exponents and their values.

Solution:

We know that,

[tex]a^n=a\times a\times a\times ...\times a(n-times)[/tex]

Using this rule, we get the factorizations of the given exponents and their values.

[tex]2^3=2\times 2\times 2=8[/tex]

[tex]3^2=3\times 3=9[/tex]

[tex]6^2=6\times 6=36[/tex]

[tex]4^3=4\times 4\times 4=64[/tex]

[tex]7^3=7\times 7\times 7=343[/tex]

[tex]8^2=8\times 8=64[/tex]

[tex]3^4=3\times 3\times 3\times 3=81[/tex]

[tex]7^2=7\times 7=49[/tex]

[tex]6^3=6\times 6\times 6=216[/tex]

[tex]9^2=9\times 9=81[/tex]

plz help this due tonight and well ill give brainliest ig

Answers

Answer:

9x+1

Step-by-step explanation:

Perimeter = sum of sides

side 1: 2x

side 2: 2x+3

side 3: 4x-2

First step: combine like terms

(2x+2x+4x)+(3-2)=9x+1

Final Answer: 9x+1

PLEASE HELP LOOK AT THE PICTURE...What is 5 1/3 hours in hours and minutes? 5 hours 20 minutes 5 hours 30 min 5 hours 3 minutes 5 hours 13 minutes​

Answers

5 hours and 20 minutes because 1/3 as a decimal is 0.3 continued (i wrote down 0.33 so its simplified) and 0.33 decimal hours is 20 minutes.

Solve the equation.
x/2 = x/5 + 8
Please help me asap haha

Answers

Answer:

x=80/3

Step-by-step explanation:

3x/10=8

3x=80

x=80/3

5x/10 = 2x/10 + 8
3x/10 = 8
3x=80
x=80/3

Shari takes violin lessons. The equation

288x – 4y = –192 relates y, the total cost of the

lessons, and x, the number of lessons. Shari

incorrectly states that the y-intercept is –192. why did shari think that -192 was the y-intercept?

Answers

Answer:

if [tex]-192[/tex] is not divided by [tex]-4[/tex], then y - intercept becomes [tex]-192[/tex].

In such a situation, Shari thought that -192 was the y-intercept.

Step-by-step explanation:

Given: [tex]288x-4y=-192[/tex]

Solution:

Consider the equation:

[tex]288x-4y=-192[/tex]

To find y-intercept, put [tex]x=0[/tex]

[tex]288(0)-4y=-192\\-4y=-192\\y=\frac{-192}{-4}\\y=48[/tex]

In the second step [tex]-4y=-192[/tex],

if [tex]-192[/tex] is not divided by [tex]-4[/tex], then y - intercept becomes [tex]-192[/tex].

In such a situation, Shari thought that -192 was the y-intercept.

find the percent of increase from 290 to 490

Answers

~169%
THIS IS NOT AN EXACT ANSWER

I took 490/290 and got 1.689655172, multiplied that by 290 and got 489.999 repeating, so I rounded up to 1.69 which translates to 169 percent.

I hope this helps :)

An orange punch is 45% juice and a mango punch is 20% juice. By combining the two, a company is making 500 L of a fruit punch that is 40% juice. How many liters of orange punch are needed for the company's concoction?

Answers

Answer:

400 L of orange punch

Step-by-step explanation:

step one:

given data

orange punch is 45% juice and

mango punch is 20% juice.

amount of fruit punch to be made is

500 L of a fruit punch that is 40% juice.

Let x = the number of liters of orange punch in the fruit punch.

Then the number of liters of mango is 500 - x

The number of liters of orange + mango juice is

0.45x + 0.2(500 - x), and this must equal the number of liters

in the fruit punch, which is 0.4*500

0.45x + 100 - 0.2x = 200

solve for x

0.45x-0.2x+100-200=0

0.25x-100=0

0.25x = 100

x=100/0.25

x = 400 L

400 L of orange punch

2 power x equals to 8​

Answers

Answer:

x= 2 Square root 2

Step-by-step explanation:

x^2=8

x= Square root 8

=2 Square root 2

Solve the following problems. Remember that all reasoning must be explained, and all steps of math work must be shown!

Topic: Angles in a Circle

JUST DO ONE quesTION

Answers

Answer:

Here it is sorry for the wait

Step-by-step explanation:

what is the closest to 1/2 + 1/3?

Answers

Answer:

C) 0.8

Step-by-step explanation:

First, we have to get both numbers to the same denominator (LCD). So we multiply 1/2 by 3/3 to get 3/6 and 1/3 by 2/2 to get 2/6. When we add them, we get 5/6, which in decimal form is .83333333, which is closest to C. 0.8

HIT THE THANKS BUTTON AND RATE 5 STARS PLEASE

PLEASE HELP ASAP!!!!

Answers

Answer:

1/5

Step-by-step explanation:

There are 5 numbers and 5 sides on the shape making the chance 1/5

How is the graph of y = |x| − 1 different from the parent function f(x) = |x|?

Answers

Answer:

Step-by-step explanation:

the graph moves down one unit

if you add/subtract outside the parent function the graph moves up/down

We can define transformations as operators that act over functions and modify them in some way. One of these transformations is the family of translations, who translate the whole graph of the function in some given direction.

Here we will find that the graph of y = |x| - 1 is a translation of 1 unit downwards of y = |x|.

To see this, we first need to know the vertical translation.

For a given function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N

If N is positive the translation is upwards

if N is negative the translation is downwards,

So if here we have:

f(x) = |x|

then:

g(x) = |x| - 1 = f(x) - 1

So we can see that this is a translation of one unit down. This moves the whole graph of |x| one unit downwards, the graphs can be seen in the image below.

Where the blue graph is the one of y = |x| - 1

If you want to learn more, you can read:

https://brainly.com/question/24401156

Please answer: is y = 4x - 9 a function?

Answers

Answer:

Yes.

Step-by-step explanation:

Yes.

y = 4x - 9 is the equation of a line with slope 4and y-intercept -9.

All non-vertical lines are functions.

Since a line with slope 4 is not a vertical line, this relation is a function.

Which is a solution of y > -2?
-2.
-1
-3
-4.

Answers

Answer: -1

Step-by-step explanation:

what is the coefficient of -2x+8=10 ​

Answers

Step-by-step explanation:

Let's solve your equation step-by-step.

−2x+8=10

Step 1: Subtract 8 from both sides.

−2x+8−8=10−8

−2x=2

Step 2: Divide both sides by -2.

−2x−2=2−2

x=−1

Answer:

Answer:

-2

Step-by-step explanation:

The coefficient of an equation or expression is any constant that precedes a variable. So, in this case, the only variable is x, so the coefficient is the preceding number, -2.  

4m+3w=72
will mark brainliest

Answers

Answer:If we solve for m, the answer is: m = 18 - 3w/4If we solve for w, the answer is: w = 24 - 4m/3Hope this helps!!

If you need to writing it in slope intercept form it’ll be : w = −4/3m+24

If you are looking for the x and y intercepts it will be: m (which will be the x intercept in this case) = (18,0) and w (which will be the y intercept) = (0,24)

I hope this helps

Write the equation of the line given the graph. Enter your equation in y=mx+b without spaces.

Answers

The answer is y=-2/3+2 because the line crosses at 2, which is the y-intercept. It goes down two times and runs three times making the slope -2/3.

research study states that 40% of investment bankers went to top tier colleges. Assume the probability of an investment banker going to a top tier college is 0.15.
What is the probability that more than 2 out of 5 investment bankers went to a top tier college?

Answers

40% off and you’ll have the right 30

Answer:

P(x>2)=0.0266

Step-by-step explanation:

just did it poggers, I got you buddy

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