A new business borrows $320,000 at a yearly simple interest rate of 7%.
The total
amount the company repays for the loan and interest is $678,400. How long did it
take to pay off the loan? Pls help Mee!!

Answers

Answer 1

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 678400\\ P=\textit{original amount deposited}\dotfill & \$320000\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ t=years \end{cases} \\\\\\ 678400 = 320000[1+(0.07)(t)] \implies \cfrac{678400}{320000}=1+0.07t\implies \cfrac{53}{25}=1+0.07t \\\\\\ \cfrac{53}{25}-1=0.07t\implies \cfrac{28}{25}=0.07t\implies \cfrac{\frac{23}{25}}{0.07}=t\implies \boxed{16=t}[/tex]


Related Questions

ASAP PLZ HELP I WILL GIVE BRAINLIEST ALL QUESTIONS NO LINKS PLZZ

Answers

BESTIE USE SLADER RN

MAth question:
A square pyramid has a height of 9 cm and a base length of 4 cm. Find the volume

Answers

Answer: 48

Step-by-step explanation:

The amount Y (in dollars) Of money in your savings account after X months is represented by the equation Y equals 12.5 X +100 a. graph the linear equation b. how many months will it take for you to save a total of $237.50[QUICK ITS HOMEWORK AND ITS LATE]

Answers

The graph of the linear equation is attached below. After 11 months, the total savings will be $237.50.

What is a saving account?

An account in a retail bank is a savings account. Common characteristics include having a finite number of withdrawals allowed, not having check or connected debit card facilities, having few transfer choices, and not being able to become overdrawn.

Given equation is

y = 12.5x + 100

To find points on the linear equation, putting x = 0, 1 and 2 in the given equation:

y(0) = (12.5 × 0) + 100

y(0) = 100

y(1) = (12.5 × (1)) + 100

y(1) = 12.5 + 100

y(1) = 112.5

y(2) = (12.5 × 2) + 100

y(2) = 25 + 100

y(2) = 125.

The points on the linear equation are (0,100), (1, 112.5), (2,125).

Plot the points and join the points to draw the line to get graph the linear equation.

Putting y = 237.50 in the given equation y = 12.5x + 100:

237.50 = 12.5x + 100

Subtract 100 from both sides:

237.50 - 100 = 12.5x + 100 - 100

137.50 = 12.5x

Divide both sides by 12.5:

x = 137.50/12.5

x = 11

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A __________ is a promise by a borrower to repay a loan at a specified rate of interest.
Select one:
a. Bond
b. Premium
c. Quoted Price

Answers

The Answer is C. Quoted price

What value for the
constant, h, in the equation
shown below will result in an infinite number of
solutions?
6t + 18 = h(3x + 9)

Answers

Therefore , As a result, h = 2 is the answer to the equation in the given question.

Explain equation.

An equation is a mathematical representation of two equal variables, one on each side of a "equals" sign. Everyday issues can be resolved with equations. We commonly look for pre algebra help to deal with problems in real life. Pre-algebra is the fundamental foundation of mathematics.

Here,

The formula is as follows: 6x + 18 = h(3x + 9)

To ensure that the expression has an unlimited number of answers, h's value must be determined.

Take the expression now and continue solving it.

=> 6x + 18 = h(3x + 9)

=>3hx + 9h= 6x +8

The expression will have an endless number of solutions if the coefficients of the left-hand side and the right-hand side are equal.

Therefore, 3h = 6 and h = 2

As a result, h = 2 is the answer to the equation in the given question.

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Select all the polygons that would be used in a net of the solid figure shown.

A triangular pyramid. The base has all three sides equal in length. The pyramid is taller than the width of the base.

right triangle

equilateral triangle

isosceles triangle

rectangle

square

Answers

Answer:

C, definitely two sides are different in the triangle.

A, it looks as if the bottom is a right triangle if you look at it in a different way.

The polygons that would be used in a net isosceles triangle & right triangle

What is Pyramid?

A pyramid is a structure whose outer surfaces are triangular and converge to a single step at the top,

As, we need a triangular pyramid whose base has all the three sides equal in length.

We can have a net in the form of isosceles triangle whose two are equal

i.e., two sides are different in the triangle.

and also, bottom with the right angle

i.e.,  the bottom is a right triangle if you look at it in a different way.

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URGENT CLICK TO SEE LINKS WILL GET REPORTED PLS

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

helppppp

!NO LINKS, NO FILES!

please :)

Answers

Answer:

53

Step-by-step explanation:

https://brainly.com/question/23396982?answering=true&answeringSource=greatJob%2FquestionPage%2F1

please answer the following question, if you send me a link then you will be reported


Find the surface area of the triangular prism.

Answers

Answer:

16 x 12 = 192

192 x 2 = 384

10 x 8 = 80, 80 divided by 2 = 40

40 x 2 = 80

10 x 16 = 160

Add all given areas:

384 + 80 + 160 = 624 cm2 is your answer.

if the parent function is y=3×,which is the dunction of the graph?​

Answers

On solving the provided question, we can say  that -  the linear equations, is [tex]x =10 / 5 = 2 = > x=2[/tex]

What is a linear equation?

The algebraic equation y=mx+b is known as a linear equation. B is the y-intercept, and m is the slope. The previous sentence, where y and x are variables, is commonly referred to as a "linear equation in two variables." Bivariate linear equations are those that contain two variables in them. The linear equations 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3 are examples. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

Here,

to solve the system of equations given. .

[tex]2x + y = 4 \\+\\3x - y = 6\\= > 5x =10[/tex]

system of equations  2x + y = 4  ,

6=3x-y is 5x =10

The value of x :

[tex]x =10 / 5 = 2\\ x=2[/tex]

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Train A and Train B both leave the station at 9am. Train A stops every 15 minutes. Train B stops every 24 minutes. At what time do both Trains stop at the same time again?

Answers

Answer:

here

Step-by-step explanation:

180 minutes

Divide. Round to the nearest tenth.
3.5/2.29

Answers

Answer:

The answer will be 1.53 after dividing and rounding to the nearest tenth 3.5 divided by 2.29.

Instructions: Find the missing segment in the image below.
Help please

Answers

Answer:

9

Step-by-step explanation:

It’s a ratio.

5/30=x/54

reduce

1/6=x/54

cross multiply

54=6x

x=9

Please help will mark Brainly

Answers

Answer:

which of the following is not a true statement 4/6 equals 8/12 2/3 equals 10/15 2/10 equals 3/15 3/4 equal 6/9

Step-by-step explanation:

Jordan is 12 years older than Anna. The
sum of their ages is 50. Find the age of
each person.
First complete the equations below, where I stands for
Jordan's age and A stands for Anna's age.
J = [?] + A; J + A = []
Help

Answers

9514 1404 393

Answer:

J = [12] +AJ + A = [50]

Step-by-step explanation:

If Anna's age is represented by A, then 12 more than Anna's age will be ...

  12 + A

Jason's age is said to be 12 more than Anna's age, so ...

  J = 12 + A

__

The sum of their ages will be J + A. That is said to be 50, so ...

  J + A = 50

_____

These equations can be solved by using the first to substitute for J in the second.

  (12 +A) +A = 50

  2A = 38 . . . . . . . . subtract 12

  A = 19 . . . . . . . . . . divide by 2

  J = 12 +19 = 31 . . . find Jason's age

Jason is 31; Anna is 19.

If the HCF is 5 and the product of the two numbers is 70, find the value of LCM.

Answers

If the HCF is 5 and the product of the two numbers is 70, then the value of LCM is 14.

Do two numbers make a product when they are the LCM of two numbers?

The smallest number that can be divided by both numbers is known as the least common multiple, or LCM, of two numbers. The product of the two numbers is the LCM if their greatest common divisor is 1, in which case their product is 1.

Using the fundamental theorem of mathematics, how do you find the HCF and LCM?

First, multiply both numbers by their prime factors to express them. Then, multiply the common factor with the highest power by the remaining factors to obtain the LCM. Take the common factors with the lowest power and multiply them to determine HCF.

To find the LCM of two numbers, you can use the formula: LCM = (a * b) / HCF.

In this case, we know that the HCF is 5, and the product of the two numbers is 70. Therefore, we can substitute these values into the formula:

LCM = (70) / 5 = 14.

So the LCM of the two numbers is 14.

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The saucer for Aisha's teacup has a diameter of 6 inches. What is the saucer's radius?

Answers

i think its 6 but im not sure to be exactly right

PLEASE HELP FRACTION S EASY!! A construction worker is making concrete by mixing sand, gravel, and cement in water. For each pound of sand, he uses pounds of gravel. For each pound of gravel, he uses pound of cement. He is making enough concrete that he needs to use 3 pounds of sand.
How many pounds of cement does he use?

Answers

The pound of cement used based on the information will be C. 2 pounds.

How to illustrate the fraction?

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

In this case, for each pound of sand, he uses 1 2/3 pounds of gravel and for each pound of gravel, he uses 2/5 pound of cement.

The pound of cement used will be:

Gravel = 1 2/3 × 3

= 5 pounds

Cement used will be:

= 2/5 × 5.

= 2 pounds.

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In circle J with m
a. 46.5'
b.73'
c.292'
d.214'

Answers

Answer:

B. 73°

Step-by-step explanation:

mL HLK = ½ × mL HJK = ½×146=73°

1 18. You have a --cup 4 1 measuring cup and a --cup measuring 2 cup. What are two ways you can 3 measure 2 cups of water? - 4​

Answers

Use another measurement cup

Find the value of x

Answers

Answer:

x = 30

Step-by-step explanation:

24(24 + x) = 36² => tangent-secant theorem

Open the bracket

24*24 + 24*x = 36²

576 + 24x = 1,296

24x = 1,296 - 576

24x = 720

Divide both sides by 24

24x/24 = 720/24

x = 30

if a borrowed car averges 38 miles per gallon how many miles can u travel with 12 gallons of gas

Answers

The answer is 456 because if there is 38 in one gallon and there 12 gallons then that would be 38 12 times, so 38 x 12 = 456.

What is the meaning of panchtantra???​

Answers

Answer:

✍ PANCHTANTRA :

⎆ The word “Panch.atantra” is a combination of the words Pancha – meaning five in Sanskrit, and Tantra – meaning weave. It's an ancient Indian inter-related collection of animal fables in verse and prose, in a frame story format.

⋆┈┈。゚❃ུ۪❀ུ۪❁ུ۪❃ུ۪❀゚ུ۪。┈┈⋆

Answer:

Five treatises or five chapters

Which of the binomials below is a factor of this trinomial? X^2 - 14x + 24

Answers

Answer:

(x - 12)(x - 2)

Step-by-step explanation:

[tex] {x}^{2} - 14x + 24 \\ \\ = {x}^{2} - 12x - 2x + 24 \\ \\ = x(x - 12) - 2(x - 12) \\ \\ = (x - 12)(x - 2)[/tex]

Based on the Theoretical Probability of rolling a 1, what is the expected number of times a 1should have been rolled out of the 15 times in the experiment? How does this compare to the Experimental Probability?

Answers

Answer:

420 69

Step-by-step explanation:

420 420

A rhombus has a side length equal to one of the diagonals. The other diagonal is 4cm longer. Find the area of the rhombus.

Answers

Answer:

The area of the rhombus is 25.83 cm².

Step-by-step explanation:

The area of a rhombus is given by:

[tex] A = \frac{d_{1} \times d_{2}}{2} [/tex]

Where:      

d₁: is one diagonal      

d₂: is the other diagonal = d₁ + 4 cm

We know that one side length of the rhombus is equal to d₁. We can imagine a right triangle inside the rhombus, with the following dimensions:

h: hypotenuse of the right triangle  

a: one side of the right triangle

b: is the other side of the right triangle  

From the above we know that:

h = d₁                                

[tex] a = \frac{d_{2}}{2} = \frac{d_{1} + 4}{2} [/tex]

[tex] b = \frac{d_{1}}{2} [/tex]            

We can find d₁ with Pitagoras:

[tex] h^{2} = a^{2} + b^{2} [/tex]  

[tex] d_{1}^{2} = (\frac{d_{1} + 4}{2})^{2} + (\frac{d_{1}}{2})^{2} [/tex]

[tex] d_{1}^{2} = \frac{1}{4}(d_{1}^{2} + 8d_{1} + 16 + d_{1}^{2}) [/tex]

By solving the above quadratic equation for d₁ and taking the positive solution we have:

[tex] d_{1} = 5.46 cm [/tex]    

So, d₂ is:

[tex] d_{2} = d_{1} + 4 = 5.46 cm + 4 cm = 9.46 cm [/tex]

Now, we can find the area:

[tex] A = \frac{d_{1} \times d_{2}}{2} = \frac{5.46 cm \times 9.46 cm}{2} = 25.83 cm^{2} [/tex]

Therefore, the area of the rhombus is 25.83 cm².

I hope it helps you!  

Complete the two-way frequency table below, which shows the relationship between adults' gender and whether these adults buy a truck or a car for their first new vehicle. From a sample of 88 adults, the following data are collected:


Truck Car Total
Female 5 35
Male 27 21
Total 88


What is the probability (rounded to the nearest whole percent) that an adult will buy a car, given that she is a female? Are the events being female and buying a car independent?

Answers

Answer:

  Truck                 Car              Total

Female           5                      35                40

Male              27                     21                48

Total              32                     56                88

P(buying a car given a male )  =  21/88 = .238 ≈ 24%

Step-by-step explanation:

Let B  = Probability of buying a car and being male    21/88

Let M = Probability of being a male  =  48/88

P(B l M)   =  P(B and M) / P(M)   =   (21/88) / (48/88)  = 21/48  = .4375  = 44%

Happy To Help!!!

Solve the expression 8 + (9 x one third ) ÷ 3 using PEMDAS. (4 points)

Group of answer choices

4

7

8

9

Answers

The answer using pedmas is 9

Answer:

the answer is 9 hope this helps

Step-by-step explanation:

Convert:
25 decimeters
=
Round to the tenths.
meters

Answers

Answer:

2.5

Step-by-step explanation:

Decimeter is 0.1 meter (10 centimeters). That means 25 decimeters is 2.5 meters.

ABC is an equilateral triangle. A circle with radius 1 is tangent to the line
AB at the point B and to the line AC at point C. What is the side length of
ABC? Show your work?

Answers

The equilateral triangle ABC have a side length of 2 units of the radius length of the circle tangent to the line AB.

How to evaluate for the side length of the triangle

An equilateral triangle have all its side lengths equal so;

line AB = line BC = line AC

At points B and C where the lines AB and AC are tangent to the circle is the a side length BC of the equilateral triangle

Line BC form the diameter of the circle which is 2 radius of the circle so;

line BC = 2 × radius of the circle

line BC = 2 × 1

line BC = 2

Therefore, the side length of the equilateral triangle is 2 units of the radius of the circle tangent at point B and C.

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