the shopkeeper received an interest of $6159 from an investment that offers compound interest at 3.5% p.a. after 10 years. What is the initial investment amount? correct your answer to the nearest dollar.

Answers

Answer 1

Answer:

Amount invested = $15,000 (Approx.)

Step-by-step explanation:

Given:

Amount of interest received = $6,159

Rate of interest = 3.5%

Number of year = 10 year

Find;

Amount invested

Computation:

Using compound interest formula

I = P[(1+r)ⁿ - 1]

6,159 = Amount invested[(1+3.5%)¹⁰ - 1]  

6,159 = Amount invested[(1+0.035)¹⁰ - 1]  

6,159 = Amount invested[(1.035)¹⁰ - 1]  

Amount invested = $15,000 (Approx.)


Related Questions

Multiple choices


A. Triangle CFB is congruent to Triangle EDB by the SAS theorem.


B. Triangle CFB is similar to triangle EDB by the AA similarity


C. The measurement of angle CE is 46 degrees


D. The measurement of angle ED is 108 degrees


E. Central angle of circle A measured 72 degrees

Answers

Answer: B and C: Triangle CFB is similar to triangle EDB by the AA similarity; The measurement of angle CE is 46 degrees

Step-by-step explanation:

I found out the answer after getting it wrong in Math Nation section 10

Answer:

B. Triangle CFB is similar to triangle EDB by the AA similarity

C. The measurement of angle CE is 46 degrees

Step-by-step explanation:

I also took the test

I need you to the rescue

Answers

Answer:

E. 360

Step-by-step explanation:

We have two boxes of 6in by 6in,

and 4 with 12in by 6in, so we just multiply to find the area and add them up

6 x 6 = 36 x 2 = 72

12 x 6 = 72 x 4 = 288,

add them up and we get 360.

(っ◔◡◔)っ ♥ Hope It Helps & Please Consider Giving Brainliest♥

Answer:

E

Step-by-step explanation:

6*6= 36

There are two of these squares so 72

12*6= 72

there are four of these rectangles so 288

soooo......288+72= 360

so E

A pool holds 8400 litres of water. A builder fills up the pool with a 17 litre container. He pours in 379 containers of water. Is this enough to fill the pool?

Answers

Answer:

No, because 379 times 17  6443

Step-by-step explanation:

Your dogs water bowl is 3/4 full. After taking a drink, the water bowl is 1/3 full. What fraction of the bowl did your dog drink? If you can please show work! Thanks!

Answers

Answer:

The dog drank 5/12 of the bowl

Step-by-step explanation:

Common denominator

3/4 = 9/12

1/3 = 4/12

9/12 - 4/12 = 5/12

Answer: Your dog drank 5/12 of the bowl.

Step-by-step explanation:

3/4 - 1/3 = 5/12

3/4 = 9/12

1/3 = 4/12

9/12 - 4/12 = 5/12

Therefore, your dog drinks 5/12 of the water in the bowl.

hope this helps :D

Pleaseeeee helppppp will mark you as brainlist

Answers

Answer:

The length of the hypotenuse is 91.7

Step-by-step explanation:

To Solve this we first need to distribute the x to the base and side of the triangle, 6(13) + 5 = 83 & 3(13) = 39

Now we use pythagorean theorem, A squared + B squared = C squared.

83 squared = 6889

39 squared = 1521

Now add them up

6889 + 1521 =  8410

Now since it is C squared, we need to find the square root to get C.

The square root of 8410 = 91.7060521 or to round the tenth, 91.7

(っ◔◡◔)っ ♥ Hope It Helps ♥

What point represents the x- intercept of the graph of the equation y = 3/5x +3/2?

Answers

Answer:

(-2.5,0)

Step-by-step explanation:

To find the x intercept you need to set y=0 then solve for x.

y=3/5x + 3/2

0=3/5x + 3/2

-3/2 = 3/5x

x = -2.5

you put in into point form. (-2.5,0)

5. Place the following numbers in order from least to greatest. √16, 6, √19, 5, √37
A. 5, 6, √16, √19, √37
B. √16, √19, 5, √37, 6
C. √16, 5, 6, √19, √37
D. √16, √19, 5, 6, √37

Answers

A is correct because it’s the only answer that starts with five
Correct answer is A
Have a good day

Stella jogs 800 m every day. The graph shows her distance from home as she runs her route. In which two points does Stella run the fastest? Explain how you know .

Answers

Answer: A,B is your answer because she leave her house on AB and run Bc she is stoped and CD is her going back home hope this helped

Step-by-step explanation: Plz make brainly

How many solutions does the system y = -3x - 3 and y = -3(x + 1) have? Why?


Answers

                                            .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .

Emergency help please

Answers

Answer:

x = 91

Step-by-step explanation:

y = 130

The supplementary angle with y is 50

z = 321

360 - 321 = 39

Interior angles:

50 and 39 and x

To find x:

x + 50 + 39 = 180

x + 89 = 180

x = 180 - 89

x = 91

Please help me with this homework

Answers

Answer:

It takes five days for them to have the same amount of money.

Lydia's teacher wants her class to take note of the gas prices around town and round them all to the nearest whole number. Lydia found these gas prices:

$3.51, $3.84, $3.41, and $3.79.

Which of these prices would round to $3.00?

Answers

3.41, due to it being below .50

Help me pls!!! I will give brainleiest

Answers

C i beileve but dont put it down yet

Answer:

D

Step-by-step explanation:

this is because it is closed circle so the underline for the inequality sign must be required and it points to everything less than 2 so the ineqaulity sign will go to 2 as it is bigger than x

The first cube has a side length of 3 units. The second cube has a side length of 5 units. Write an expression that you can use to find the total volume of ice you can make.

Answers

Answer:

152 cubic units

Step-by-step explanation:

Volume of a cube = L³ where;

L is the side length of a cube

For the cube of side length of 3 units

Volume of the cube = 3³

Volume of the cube = 27 cubic units

For the cube of side length of 5 units

Volume of the cube = 5³

Volume of the cube = 125 cubic units

Total volume the ice can make = (125 + 27)cubic units

Total volume the ice can make = 152 cubic units

The sum of two numbers is 17
The difference of those same two numbers is 3
Find the two numbers
Graph the equations, and determine your answer by marking the point of intersection

Answers

The numbers are 10 and 7

X = 10
Y= 7

X + Y = 17
X - Y = 3

The two numbers are 7 and 10 whose sum is 17 and whose difference is 3.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that the sum of two numbers is 17 and the difference of those same two numbers is 3.

We need to find those two numbers.

Let x and y are the two numbers.

Sum of two numbers is 17

x+y=17..(1)

Difference of two numbers is 3

x-y=3..(2)

From equation 1,

x=17-y

Now substitute this in equation 2.

17-y-y=3

17-2y=3

17-3=2y

14=2y

Divide both sides by 2

y=7

Now add y value in equation 1

x+7=17

Subtract 7 from both sides

x=10

Hence, the two numbers are 7 and 10.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

What is the angle of the slope

Answers

Answer:

y=103°

Step-by-step explanation:

Supplementary angles:

[tex]y+77=180[/tex]

[tex]y=103[/tex]

Rewrite in simplest terms: 10(7g-9h)-4h-8(-h+8g)10(7g−9h)−4h−8(−h+8g)

Answers

Answer:

6g-90h+6320gh-720h²-4480g²

Answer:

6g−86h

Hopefully this is correct :)

In the data set below, what is the mean absolute deviation? 38147 If the answer is a decimal, round it to the nearest tenth. mean absolute deviation (MAD):

Answers

Answer:

2.32

Step-by-step explanation:

Given the data:

3, 8, 1, 4, 7

The mean absolute deviation (MAD) :

Σ|x - m| / n

Mean, m = Σx / n

Σx = 23

n = 5

Mean, m = 23 / 5 = 4.6

|3 - 4.6| + |8 - 4.6| + |1 - 4.6| + |4 - 4.6| + |7 - 4.6|

(1.6 + 3.4 + 3.6 + 0.6 + 2.4) / 5

= 2.32

15% of 35 with explanation pls

Answers

Answer:

5.25

Step-by-step explanation:

15% of 35 = 35 times 15% = 35 × 0.15 = 5.25

Find the volume V of the cone. Round your answer to the nearest tenth.

Answers

The volume of cone formula is 1/3 times pi times radius^2 times height. So in this case the formula which numbers substituted in would be 1/3 times pi times 8^2 times 12. The final answer would be 804.2477 and if rounded it would be 804.2 m^2

A 7-pack of movie tickets costs $41.84. What is the unit price, rounded to the nearest cent?
per ticket
Submit

Answers

Answer:

$5.98

Step-by-step explanation:

Unit price is the cost of a single ticket

41.84/7=5.98

Answer:

$5.99

Step-by-step explanation:

41.84/7= 5.98571429 = 5.99

Can somebody please help

Answers

Step-by-step explanation:

x + 90⁰ + 90⁰ + 120⁰ = 360 ....sum of angles of quadrilatral is 360⁰

x = 60⁰...

HELP PLZZZZZZ PLZZZZZZ I GIVE EXTRA POINTS

Plz do the last box’s for me

Answers

Answer:

I think its 0.2

Step-by-step explanntion

3 months late

A 7-pack of ice cream bars costs $3.36. What is the unit price?

Answers

Answer:

$0.48

Step-by-step explanation:

3.36/7=0.48

My problem is posted below:

Answers

The answer is d. 2.6 and 7

Add the polynomial expressions using the horizontal format.

(6x3 + 5x) + (4x3 + x2 - 2x + 9)

Answers

Answer:

I'll clear the parentheses first. This is easy to do when adding, because there are no "minus" signs to take through any parentheticals. Then I'll group the like terms in accordance to their variables (keeping them in alphabetical order), and finally I'll simplify:

(2x + 5y) + (3x – 2y)

2x + 5y + 3x – 2y

2x + 3x + 5y – 2y

5x + 3y

These two terms are un-like (because they have different variables), so I cannot combine them. This means that I've gone as far as I can, so my hand-in answer is:

5x + 3y

Step-by-step explanation:

In the rectagular prism shown below, GH is parallel to EF. If the equation of GH is 6y-x=2, could the equation of EF be 4=y-1/6x? Explain your reasoning.

Answers

Answer:

Yes

Step-by-step explanation:

Given

GH:

[tex]-6y - x = 2[/tex]

Required

Can EF be

[tex]4 = y - \frac{1}{6}x[/tex]

First, we determine the slope of GH

[tex]-6y - x = 2[/tex]

Solve for 6y

[tex]6y = -x - 2[/tex]

Solve for y

[tex]y = -\frac{1}{6}x - \frac{2}{6}[/tex]

[tex]y = -\frac{1}{6}x - \frac{1}{3}[/tex]

An equation has the form:

[tex]y =mx + b[/tex]

Where

[tex]m = slope[/tex]

By comparison:

[tex]m = -\frac{1}{6}[/tex]

Next, determine the slope of EF

[tex]4 = y - \frac{1}{6}x[/tex]

Make y the subject

[tex]y = -\frac{1}{6}x + 4[/tex]

The slope is:

[tex]m = -\frac{1}{6}[/tex]

Compare the slopes of both lines.

[tex]m=m = -\frac{1}{6}[/tex]

Since they have the same slopes, then the equation of EF is possible

Need help will give brainliest if you answer plz explain how I want to learn?

Answers

Answer:

16 degrees

Step-by-step explanation:

This is a right triangle with shorter leg 3 in and hypotenuse 11 in.  The 3 in side is opposite the angle theta.  Thus, by definition of the sine function,

sin theta = 3/11 = 0.273

Using a calculator and the inverse sine function, we get theta = 0.276 radian, or 15.8 degrees.  This rounds up to 16 degrees.

The area of a triangle is 24 square inches. What is the height of the triangle if the base length is 8 inches? (5 points) 6 inches 8 inches 12 inches 16 inches

Answers

Answer:

6

Step-by-step explanation:

Answer:

The correct answer is 6.

Step-by-step explanation:

I took the test and got it right

museum has an aquarium in the shape of a right rectangular prism that is 22 meters long, 7 meters wide, and 4 meters high. What is the volume of the aquarium?

Answers

Answer:

790

Step-by-step explanation:

The volume equals: Height * Width * Length

Therefore, the volume = 22.9*7.5*4.6 = 790 cubic meters.

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