When invested at an annual interest rate of 4.7%, an account earned $1,290.33 of simple
interest in 3 years. How much money was originally invested? If necessary, round to the
nearest cent.
O $82,361.49
O $9,151.28
O $20.22
O $91,512.77

Answers

Answer 1

Answer:

The answer is 82,361.49

Step-by-step explanation:

after simplifying the equation, the problem is 1290.33 divided by .27 times 3 - the quotient is 82,362.49 (in simplified form)

Answer 2

The amount of money that he originally invested will be $9,151.28. Then the correct option is B.

What is simple interest?

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

I = (PRT)/100

Where P is the principal, R is the rate of interest, and T is the time.

When contributed at a yearly loan fee of 4.7%, a record acquired $1,290.33 of straightforward interest in 3 years.

Then the amount of money that he originally invested will be given as,

1290.33 = (P x 4.7 x 3)/100

Simplify the equation, then we have

1290.33 = (P x 4.7 x 3)/100

129033 = 14.1 x P

P = 129033 / 14.1

P = $9,151.28

The amount of money that he originally invested will be $9,151.28. Then the correct option is B.

More about the simple interest link is given below.

https://brainly.com/question/2793278

#SPJ2


Related Questions

Plz help me!! Worth 20 points

Answers

Answer:

440miles

Step-by-step explanation:

because for every hour the bus travels 55miles so if you do 55×8 you can get your answer

But I hope I answered the right on for you

7.8 kilograms divided into 4

Answers

Answer:

1.95 kilograms

Step-by-step explanation:

7.8/4 = 1.95

Answer:

1 19/20 kg

Step-by-step explanation:

Divide 7.8/4 is 39/5 *1/4 which is 1 19/20

Hope this helps :D

Please mark brainliest if correct

Alan is building a fence around his fish pond. The fish pond is in the shape of a rectangle with a length of 60 feet and a width of 40 feet. It took alan 16 hours to complete the fencing. What is the unit rate at which alan put fence around his fish pond

Answers

Answer:

12.50 ft per hour

Step-by-step explanation:

Given that:

Fish pond has a rectangular shape.

Length of fish pond = 60 feet

Width of fish pond = 40 feet

Total time to complete the fencing = 16 hours

To find:

Unit rate of putting the fencing around the fish pond.

Solution:

First of all, we need to find the total fencing to be put around the fish pond.

Total fencing is nothing but the perimeter of the fish pond which is of rectangular shape.

Formula for perimeter of rectangular shape is given as:

[tex]Perimeter = 2\times (Length + Width)[/tex]

[tex]Perimeter = 2\times (60+40)\\\Rightarrow Perimeter = 200\ ft[/tex]

Unit rate is the perimeter divided by total time taken to put the fencing around.

Therefore,

Unit rate = [tex]\frac{200}{16} = \bold{12.5}[/tex] feet per hour

So, the answer is 12.5 feet per hour.

Calculate the speed of a 5.2 kg object that possesses 26.1 J of kinetic energy

Answers

The answer is 3.2 m/s (this is a rounded answer). In the picture there is a step by step explanation.

The speed of object is 3.68m\s.

Given that,

Mass of the object =  5.2 kg,

Object that possesses 26.1 J of kinetic energy.

We have to find,

The speed of the object.

According to the question,

Kinetic energy is a form of energy that an object or a particle has by reason of its motion.

If work, which transfers energy, is done on an object by applying a net force, the object speeds up and there by gains kinetic energy.

Then, The formula of kinetic energy is given as,

[tex]K.E = \frac{1}{2} mv^{2}[/tex]

Where, m = mass of the object

And v = speed of the object

Therefore, The speed of the object calculated as.

[tex]KE = \frac{1}{2} mv^{2} \\\\26.1 = \frac{1}{2} \times 5.2\times v^{2} \\\\26.1 = 2.6 \times v^{2} \\\\\frac{26.1}{2.6} = v^{2} \\\\v^{2} = 10.1\\\\v = \sqrt{10.1} \\\\v = 3.68[/tex]

Hence, The speed of object is 3.68m\s.

For more information about kinetic energy click the link given below.

https://brainly.com/question/20339401

The second floor of a tiny house has a living room in a bedroom. The floor plan shows a width of 8 ft in a total length of 24 ft.


Which expression represents the total area?

A) 8 • 24

B) 8 + 24

Answers

Answer:

Expression 8 • 24 represents the total area.

Option A is correct.

Step-by-step explanation:

Width of living room = 8 ft

Length of living room = 24 ft

We need to calculate area:

The formula used is: [tex]Area=Length \times Width[/tex]

Putting values to get the expression

[tex]Area = 8\times24[/tex]

So, Expression 8 • 24 represents the total area.

Option A is correct.

Which equation can be used to find the solution of
(1/4)y+1 = 64

-y-1 = 3

y + 1 = 3

y-1 = 3

–y+1=3

Answers

Answer:

-y-1=3

Step-by-step explanation:

Answer:

-y-1=3

Step-by-step explanation:

took the test and got it correct

The function f(x) = x is translated using the rule (x, y) - (x - 6, y + 9) to create A(x).
Which expression describes the range of A(x)?
Oy2-9
Oy6
Oy26
O y29

Answers

It seems the correct function you need to mention is f(x) = sqrt x

so, I am assuming [tex]f(x) = \sqrt{x}[/tex] and will solve the question based on it.

Answer:

Check the explanation

Step-by-step explanation:

Given the function

[tex]f(x) = \sqrt{x}[/tex]

As the function is translated according to the rule

(x, y) → (x - 6, y + 9)

Translation of the function [tex]f(x) = \sqrt{x}[/tex] 6 units to the left will bring the function

[tex]g(x) = \sqrt{x+6}[/tex]

Translation of the function  [tex]g(x) = \sqrt{x+6}[/tex]  9 units up will bring the function

[tex]A\left(x\right)=\sqrt{x+6}+9[/tex]

Determining the range of [tex]A\left(x\right)=\sqrt{x+6}+9[/tex]

As we know that the range is the set of dependent values for which the function is defined.

[tex]\mathrm{The\:range\:of\:an\:radical\:function\:of\:the\:form}\:c\sqrt{ax+b}+k\:\mathrm{is}\:\:f\left(x\right)\ge \:k[/tex]

[tex]k=9[/tex]

[tex]f\left(x\right)\ge \:9[/tex]

so

[tex]\mathrm{Range\:of\:}\sqrt{x+6}+9:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:9\:\\ \:\mathrm{Interval\:Notation:}&\:[9,\:\infty \:)\end{bmatrix}[/tex]

Therefore, the expression describes the range of A(x) will be:

[tex]f\left(x\right)\ge \:\:9\:or\:y\:\ge \:\:\:9[/tex]

Answer:

d on 3dge

Step-by-step explanation:

genius

Can someone please help with this question?

Answers

what’s the question lol

The sum of two numbers is 12. Three times the smaller number increased by the larger number is 20 . Find the numbers .Write the solution

Answers

Answer:

In these types of algebra problems where we are given numbers that are "unknown" and asked to find them, it is a good idea to give them names.

Let the larger number be X.

Let the smaller number be Y.

If the larger number is three times the smaller number, we can use this information to write an equation, using our labels for the two unknown numbers. See how I translate this sentence into an equation:

The larger number is three times the smaller number.

                    X           =     3     *               Y

X = 3*Y

We've got one equation down. Since we have two variables, we're going to need two equations to solve for both of them.

The sum of two numbers is twenty-four.

                      X    +    Y    =     24

X+Y = 24

But, from our previous equation, we know that X is the same as 3*Y. This allows us to substitute "X" with "3*Y" in our second equation since the two are equal according to the first equation.

(3*Y) + Y = 24.

3Y + Y = 24

4Y = 24

4Y / 4 = 24/4

Y = 6

Now we've got the value of the smaller number. Let's plug it into our first equation,

X = 3*Y.

X = 3*(6)

X = 18

We can check our work by plugging both values into both equations and seeing if they work out:

6+18 = 24  

6*3 = 18

So our bigger number is 18, and our smaller number is 6.

Hope it helps!

Write an equation of the line that passes through the given point and is
perpendicular to the given line.
9. (-3,1); y -5x +2
10. (8-5); y = 2x + 3

Answers

Answer:

this looks kinda hard tho give me a sec

NEED HELP WILL MARK THE BEST!!!!

Answers

Answer:

W = 23 degrees

Step-by-step explanation:

91 + 131 = 222

The sum of the polygon should equal 360 degrees. Therefore we subtract 360 - 222 = 138

Trial and error shows you that 2 x 23 = 46

46 + 46 + 46 + 222 = 360 degrees.

Help!!! How do I do problems like these

Answers

Answer:

54.5 is what I got

Step-by-step explanation:

Which expression represents the area of the garden in square feet?

Answers

Answer:

C. 42x² - 3x - 9

Step-by-step explanation:

Area:

(7x + 3) (6x - 3)

7x(6x - 3) + 3(6x - 3)

42x² - 21x + 18x - 9

42x² - 3x - 9

Which fraction is in simplest form? 3/9, 5/12, 6/14, 4/22

Answers

5/12 is in simplest form!

Answer:

5/12

Step-by-step explanation:

Please give me brainliest

SIMPLEST FORM

3/9 = 1/3——-not originally in simplest form

5/12=5/12——in simplest form

6/14=3/7——-not originally in simplest form

4/22=2/11——not originally in simplest form

what is x-3=?
February ​

Answers

Answer: x= February+3

Step-by-step explanation:

if ABC = DEC, angle B = 2x, angle C = 48°, and angle D = 74°. x=?

Answers

Answer:

37°

Step-by-step explanation:

angle B = angle D (alternate angle)

2X = 74°

X = 37°

Answer:

29

Step-by-step explanation:

right in acellus

The Dropdown boxes are Equal and Not Equal

Answers

i believe they are equal

Joe bought a box of laundry detergent that contains 195 scoops. Each load of laundry uses 2.5 scoops. How many loads of laundry can he do with this one box?

Answers

Answer:

78

Step-by-step explanation:

The answers 78

I have to keep typing

Hi, I just need help with questions 4 and 6 thank you so much :)

Answers

Answer:

for number 4, i drew it in the picture

for number 6, 5 3/4 is closer

Step-by-step explanation:

give brainliest pls

Solve the following inequality for s. Write your answer in simplest form.
7s - 9 < 6s – 10

Answers

Answer:

2<-1

Step-by-step explanation:

7s-9<6s-10

-6s. -6s.

S-9<-10

+9. +9

S<-1

The thermometer says it’s 24°C. You convert this temperature to 100°F. Which sentence best describes your temperature estimate?

Answers

Answer:

multiply 100ajdirirrihtrirjrbrbdbd

Convert the equation to the standard form of a parabola and graph the parabola, the
focus, and the directrix.
y2-12 x - 4y+64=0

Answers

Answer:

Graph x2 = 4y and state the vertex, focus, axis of symmetry, and directrix. ... this "algebraically" by rearranging the given equation into the conics form: ... picking y-values first and then finding the corresponding x-values for x = –y2 – 10y – 25: ... find the exact vertex, etc, I'll need to convert the equation to perfect-square form.

Step-by-step explanation:

The probability that it will rain on 'Hari Merdeka' is 2/15.Find the probability that will be no rain on 'Hari Merdeka'.

Answers

The probability it will rain of Hari Merdeka is 2/15. Since you are finding the probability that will be no rain on Hari Merdeka, you also need to find the part of 15/15 that is not 2/15. You can do this by subtracting.

15/15-2/15=13/15.

The probability that will be no rain on Hari Merdeka is 13/15.

x + 3.75 = 7. i need answers because im doing online school

Answers

Answer:

x=3.25

Step-by-step explanation:

x + 3.75 = 7

   -3.75   -3.75

x = 3.25

big ideas math 3.3 answers

Answers

Answer:

yes

Step-by-step explanation:

(~ ̄▽ ̄)~

3/4 divided into 12, PLEASE HELP MEEE

Answers

Answer:

3/48

Step-by-step explanation:

Answer:

0.0625

Step-by-step explanation:

hope it helps, mar brainliest please

9.
Express 28% as a decimal

Answers

0.28

all you have to do is add a 0 and a . to make any percent into a fraction


hope this helps



give brainliest plz

two triangles are similar, and the ratio of the corresponding sides is 1:5, and which of the following is true?

a. Their corresponding sides are congruent.

b. Their corresponding angles are in a ratio of 1:5

c. Their areas have a ratio of 1:5.

d. their perimeters are in a ratio of 1:5

Answers

Answer:

c

Step-by-step explanation:

Answer:

d. their perimeters are in a ratio of 1:5

Explaination

A is untrue because the sides have the ratio of 1:5, explained in the quastion, so they are not equal/congruent.

B is untrue because the angles are the same in both triangles because the triangles are similar, mentioned in the question.

C is untrue because the ratio of area is squared to the ratio of the perimeter, so the actual areas would be 1:25.

3 2/3 feet per 11/20 hour ? also can it be in a fraction

Answers

Answer: 20

Step-by-step explanation:

Answer:

Step-by-step explanation:

3 1/2 = 7/2

7 4/5= 39/5

5 3/4= 23/4

4 1/3= 13/3

4 2/3= 14/3

5 1/5 = 26/5

8 2/3 = 26/3

2 3/5 = 13/5

hope this helps

Someone please help will mark as brainliest

Answers

Answer:

Step-by-step explanation:

7: B

8: D

9: C

10: 1/2

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