The principal P is borrowed, and the loan’s future value A, at time t is given. Determine the loan’s simple interest rate r to the nearest tenth of a percent.A= $2840P= $2300t= 9 months

Answers

Answer 1

Step 1. Gather all of the information.

We have the Principal P:

\(P=2300\)

The total amount A for the loan's future value:

\(A=2840\)

And the time t in moths:

\(t=9\text{months}\)

We are going to need the time in years, so we consider that 9 months are 9/12 of a year:

\(t=\frac{9}{12}\text{years}\)

Which can be simplified to 3/4 of a year:

\(t=\frac{3}{4}\)

Step 2. Remember the simple interest formula:

\(A=P(1+rt)\)

From this formula, we will need to find the simple interest rate r, so we will solve for r.

-The first step to solve for r is to divide both sides by P:

\(\frac{A}{P}=\frac{P}{P}(1+rt)\)

on the right-hand side P/P is 1 so we are left only with 1+rt:

\(\frac{A}{P}=1+rt\)

-the second step to solve for r is to subtract 1 to both sides:

\(\frac{A}{P}-1=1-1+rt\)

On the right-hand side, 1-1 cancels each other:

\(\frac{A}{P}-1=rt\)

-the last step to solve for r is to divide both sides by t:

\(\frac{\frac{A}{P}-1}{t}=r\)

This is the equation we will use to find the value of r.

Step 3. Substitute the known values into the formula to find r:

\(\begin{gathered} r=\frac{\frac{A}{P}-1}{t} \\ r=\frac{\frac{2840}{2300}-1}{\frac{3}{4}} \end{gathered}\)

We have substituted the values of A, P and t.

Simplifying the fractions:

\(r=\frac{1.2348-1}{0.75}\)

Solving the final operations:

\(\begin{gathered} r=\frac{0.2348}{0.75} \\ r=0.313 \end{gathered}\)

This is the simple interest rate represented in decimal form, to convert it to percentage, we need to multiply the result by 100:

\(\begin{gathered} r=0.313\times100 \\ r=31.3 \end{gathered}\)

The final result is 31.3%

Answer:

the simple interest rate to the nearest tenth is:

31.3%


Related Questions

True or false is 6x10^5 is 20 times as much as 3x10^4

Answers

answer

TRUE

HOPE IT WILL HELP YOU

Solve the following system of equations graphically on the set of axes below.
Y=1/3x+6 y=-5/3x-6

Solve the following system of equations graphically on the set of axes below.Y=1/3x+6 y=-5/3x-6

Answers

Answer:

I can not solve it in the system of the image, but i will give you the graph so you can copy it, or at least see how it is done.

First, we have the lines:

y = (1/3)*x + 6

y = (-5/3)*x - 6

To graph these lines, you must find two points for the lines and then draw a line that connects the points.

To do it, you can evaluate each line in two different values of x, for example for the first line we can have:

y(0) = (1/3)*0 + 6 = 6   (then we have the point (0, 6))

y(3) = (1/3)*3 + 6 = 7    (then we have the point (3, 7))

And for the second line, we will have:

y(0) = (-5/3)*0 - 6 = -6 (then we have the point (0, -6))

y(3) = -(5/3)*3 - 6 = -11 (then we have the point (-3, -11))

Now with those points we can graph the lines, and the solution of the system of equation will be the point where the two lines intersect.

The graphs of the lines are shown below:

Where the grey line is the first one, and the green is the second.

In the graph, you can see that the lines intersect in the point (-6, 4)

Then the solution for the system is x = -6, and y = 4.

Solve the following system of equations graphically on the set of axes below.Y=1/3x+6 y=-5/3x-6

You sailed 0.055 units to the left and found treasure at 0.085 units find where the ship started

Answers

To find where the ship started, we can utilize the following formula:

Starting position = Treasure location + distance sailed to the left

Since we know going in the left direction typically is a means of subtraction, we can use inverse operations to solve this. We can set up an addition problem to solve this:

Starting position = 0.085 + 0.055
Starting position = 0.03 units

Therefore, the ship started at 0.03 units.

Select all the equations that can be represented by a straight line when graphed ton on the coordinate plane.

1/x +y=9

x = 16 + 3y

x= - 2y^2 + 7

8x - 5y = 30

y = -6(x + 10)

y = x(3-X) + 1

Answers

The equations that can be graphed with a line are:

x = 16 + 3y8x - 5y = 30y = -6*(x + 10)

Which equations can be graphed with lines?

The equations that can be graphed with lines are called linear equations, and generaly they can be written as:

a*x + b*y = c

So we have two variables and both have an exponent of 1.

Then the options that are linear equations are:

x = 16 + 3y

8x - 5y = 30

y = -6*(x + 10)

Learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

y=2/3x-4 i need help i do not get this does anybody know slopes

Answers

Step-by-step explanation:

slope in this case is 2/3

this equation is in slope intercept form

y=mx+b

m is slope

and b is y-intercept

so

m =2/3

b=-4

Answer: The slope is 2/3 (0.666...)

Step-by-step explanation: The slope is the coefficient of X in slope-intercept form. y=2/3x-4 is in slope-intercept form (y=mx+b) m = slope, b = y-intercept (the Y value when the X is equal to 0)

On a graph, it looks like this:

y=2/3x-4 i need help i do not get this does anybody know slopes

ignore the green line

ignore the green line

Answers

Answer:

What are the answer choices? please post it I really want to help

Step-by-step explanation:

Answer:

I don't get this but it might be -12 for K and -3 for I and -6 for J

Step-by-step explanation:

A turtle travels 25 miles in 5 hours. What is the turtle's average rate of speed?

Answers

Answer:

4 mph

Step-by-step explanation:

If we take 25 miles, and divide it by the 5 hours, we get 4 miles per hour.

Answer:

Step-by-step explanation:

5mph for first part ill brb on second part

explain why 120% cannot be the probability of some event?

Answers

Answer:

A probability must be between zero and one.

Step-by-step explanation:

Probability is the chance of something occuring. 120% is not realistic in real world examples, because the probability standard ranges from "definitely will not happen" to "definitely will happen", meaning a 0% chance of it occurring to 100% chance of it occurring. The only time 100.0%+ will be applicable are typically in simulations, which allows for such to counterbalance any negatives percentages that is allocated to the target. However, in the real world, it will never go over 100%.

qu2.05 ML
Solve for x: 5|2x - 2] + 8 = 18.

Answers

Answer:

512x−2+8=18

Step 1: Simplify both sides of the equation.

512x−2+8=18

512x+−2+8=18

(512x)+(−2+8)=18(Combine Like Terms)

512x+6=18

512x+6=18

Step 2: Subtract 6 from both sides.

512x+6−6=18−6

512x=12

Step 3: Divide both sides by 512.

512x512=12/512

x= 3/128

Answer:

x=3/128

PLEASE HELP DUEEE NOW !!!A diagram of a roundabout that is being designed to improve driver safety on a busy road is shown. The radius of the circular field planned for landscaping is 27.5 feet. What is the approximate distance around the outside of the circular field?

A. 345.4 feet

B. 172.7 feet

C. 86.35 feet

D. 2,323.1 feet

PLEASE HELP DUEEE NOW !!!A diagram of a roundabout that is being designed to improve driver safety on

Answers

The approximate distance around the outside of the circular field is the circumference = 172.7 feet and the correct option is B.

How to evaluate for the circumference of a circle

To calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2×radius with pi (π = 3.14).

We shall derive the approximate distance around the outside of the circular field by calculating for the circumference as follows:

Radius of the circular feild = 27.5

circumference of the circular feild = 2 × 27.5 feet × 3.14

circumference of the circular feild = 55 feet × 3.14

circumference of the circular feild = 172.7 feet.

Therefore, the approximate distance around the outside of the circular field is derived as the circumference which is equal to 172.7 feet.

Know more about circle here: https://brainly.com/question/20489969

#SPJ1

The diagram shows a square.
(6x - 1) cm
Find the length of the side of the square.
Your final answer must say, side = . . . cm

(4x + 6) cm

Cm=?
+

Answers

The length of the side of the square is given as follows:

20 cm.

How to obtain the side length of the square?

In the figure, there are two expressions used to give the side length to each square, as follows:

6x - 1.4x + 6.

In a square, all the four side lengths have the same length, hence the value of x is obtained as follows:

6x - 1 = 4x + 6

2x = 7

x = 3.5 cm.

Then the side length of the square is obtained as follows:

6(3.5) - 1 = 20 cm.

More can be learned about the side length of a square at https://brainly.com/question/24487155

#SPJ1

Is the slope of a linear demand curve positive or nega-
tive?

Answers

The slope of a linear demand curve is negative

The demand curve's negative slope indicates that there is an inverse link between price and demand.

It is true that the demand curve's negative slope indicates an inverse link between price and quantity desired. According to the demand curve, demand declines as prices increase and rises as prices decrease.

This statement is false since it only applies to Giffen products, where the demand curve has a positive slope and a direct correlation between price and quantity desired.

Because unit requests rise when prices decrease and decline when prices rise, the demand curve often slopes downward (i.e., is negative). Demand increases when prices are low, but demand decreases when prices are high.

Learn more about demand curve here

https://brainly.com/question/1139186

#SPJ9

N
m
4
5
4
U
-
3-
Cu v
-5-4-3-2-1
2
-2
1 w
60
r
2345x
What is the domain of the function on the graph?
O all real numbers
O all real numbers greater than or equal to-2
O all real numbers greater than or equal to-5
O all real numbers greater than or equal to 0
Help please

Nm454U-3-Cu v-5-4-3-2-12-21 w60r2345xWhat is the domain of the function on the graph?O all real numbersO

Answers

Answer:

Step-by-step explanation:

Question

N

m

4

5

4

U

-

3-

Cu v

-5-4-3-2-1

2

-2

1 w

60

r

2345x

What is the domain of the function on the graph?

O all real numbers

O all real numbers greater than or equal to-2

O all real numbers greater than or equal to-5

O all real numbers greater than or equal to 0

Help please

Please answer this word problem

Please answer this word problem

Answers

Step-by-step explanation:

l=24in.+w

l=24in.+wwe know that the perimeter of a rectangle is given by formula

l=24in.+wwe know that the perimeter of a rectangle is given by formulaP=2(l+w)

l=24in.+wwe know that the perimeter of a rectangle is given by formulaP=2(l+w)180=2(l+w)

plugg in the value of l in the second equation.

\(180 = 2(24 + w) + 2w \\ 180 = 48 + 2w + 2w \\ 180 - 48 = 4w \\ 132 = 4w \\ \frac{4w}{4} = \frac{132}{4} \\ w = 33\)

\(l = 24 + 33 \\ l = 57\)

HOPE THIS HELPS

LAST OPTION IS THE ANSWER

How do I do this problem?​

How do I do this problem?

Answers

Answer:

Step-by-step explanation:

Red Graph: y = x^2 -4x - 5

Blue Graph: x = 2  Axis of symmetry

Points

x intercepts (-1,0),(5,0)

y intercepts: (0,-5)

vertex: (2,-9)

Note: it is just a matter of putting the function on the graph and than read what you are asked for. Between this part of the answer, and the graphs, you should be able to see what you are asked for.

How do I do this problem?

6TH GRADE MATH SOMEONE PLEASE GIVE ANSWER TYSM

6TH GRADE MATH SOMEONE PLEASE GIVE ANSWER TYSM

Answers

The surface area of the vase is 168.4 square inches.

What is a cylinder?

A cylinder is a three-dimensional geometric shape that has two congruent circular bases connected by a curved surface.

The surface area of the cylindrical vase can be found using the formula SA = B + Ph, where B is the area of the base, P is the perimeter of the base, and h is the height of the vase. Since the vase has a circular base, the area of the base can be found using the formula for the area of a circle: B = πr², where r is the radius of the base.

The diameter of the vase is 4.3 inches, so the radius is half of that, or 2.15 inches. The area of the base is therefore:

B = πr² = 3.14 * (2.15)² ≈ 14.46 square inches.

The perimeter of the base is the circumference of the circle, which can be found using the formula C = 2πr:

P = 2πr = 2 * 3.14 * 2.15 ≈ 13.53 inches.

Now we can use the formula SA = B + Ph to find the surface area of the vase:

SA = B + Ph = 14.46 + 13.53 * 11 ≈ 168.39 square inches.

Rounding to the nearest tenth of a square inch, the surface area of the vase is approximately 168.4 square inches.

To know more about cylinders visit:

brainly.com/question/15891031

#SPJ1

Which fraction has a terminating decimal?
- 11/19
- 4/7
- 1/3
- 3/150

Answers

Answer: D) 3/150

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

Explanation:

With the use of a calculator, we see that,

11/19 = 0.57894736842106...., the decimals eventually repeat; but unfortunately my calculator ran out of room to show the repeating portion4/7 = 0.5714285714285714..., the block "571428" repeats forever1/3 = 0.333333.... the 3s go on forever3/150 = 0.02

So 3/150 converts to the terminating decimal 0.02

The word "terminate" means "stop". In the other decimal values, the decimal digits go on forever repeating the patterns mentioned.

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

A non-calculator approach will have us simplify 3/150 into 1/50 after dividing both parts by the GCF 3. Then notice how 50 has the prime factorization of 2*5*5. The fact that the denominator 50 can be factored in terms of only 2's and 5's is enough evidence to conclude that the fraction converts to a terminating decimal.

If the denominator factors into some other primes, other than 2s and 5s, then we don't have a terminating decimal. So that's why 11/19, 4/7 and 1/3 convert to non-terminating decimals.

How many seconds equal 9 hours and 23 minutes?
w
563 seconds
1,380 seconds
33,780 seconds
12.420 seconds

Answers

Answer:

33780 seconds

Step-by-step explanation:

Answer:

33,780

Step-by-step explanation:

help me please reeeee​

help me please reeeee

Answers

Answer:4/5 and 2 3/5

Step-by-step explanation:

Please help me i need help.

Please help me i need help.

Answers

Answer:

5x+7 > 17 matches with 3.

1+3x > -5 matches with 2.

2x+1 < 3 matches with 1.

5-3x > 11 matches with 4.

Step-by-step explanation:

JUST THE SECOND ONE EASY PLS ASAP

JUST THE SECOND ONE EASY PLS ASAP

Answers

Answer:

51

Step-by-step explanation:

Use an online calculator

Usually Jim walks at a speed of 5 miles/h and Jerry walks at a speed of 6 miles/h. If Jerry walked for 3 hours to climb a hill, how long will Jim take to climb the same hill?

Answers

Answer:

1.80 hours or 1 hour  and 48 minutes

Step-by-step explanation:

Jerry = 3 miles every hour

Jerry took 3 hours to climb the hill.

It is safe to say that he traveled 3 miles every hour for 3 hours so he traveled 3 x 3 = 9 miles in all.

Jim walks at a speed of 5 miles an hour.

Question : How many hours would it take to travel 9 miles

9/5 = 1 4/5 of an hour

1 4/5 of an hour 1 hour 48 minutes

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

write and solve an inequality to find the possible values of x

write and solve an inequality to find the possible values of x

Answers

The inequality that represents the value of x is (b)  x > 80

Writing and solving the inequality for x

from the question, we have the following parameters that can be used in our computation:

The figure

The general rule is that

The larger the side length, the larger the angle opposite it

using the above as a guide, we have the following:

1/8x > 10

So, we have

x > 80

Hence, the inequality is x > 80

Read more about inequality at

https://brainly.com/question/32124899

#SPJ1

the base of a 50-foot ladder is being pulled away from a wall at a rate of 8 feet per second. how fast is the top of the ladder sliding down the wall at the instant when the base of the ladder is 30 feet from the wall?

Answers

The base of the ladder is 30 feet from the wall, the top of the ladder is sliding down the wall at a rate of 6 feet per second.

To determine how fast the top of the ladder is sliding down the wall when the base is 30 feet from the wall, we can use the Pythagorean theorem and implicit differentiation.

Step 1: Set up the Pythagorean theorem for the ladder, wall, and ground.
Let x be the distance between the base of the ladder and the wall, and let y be the height of the top of the ladder above the ground. Since the ladder has a length of 50 feet, we have:

\(x^2 + y^2 = 50^2\)

Step 2: Differentiate both sides of the equation with respect to time (t).
Using implicit differentiation, we get:

2x(dx/dt) + 2y(dy/dt) = 0

Step 3: Plug in the given values and solve for dy/dt.
We are given that dx/dt = 8 ft/s (the base is being pulled away from the wall) and x = 30 ft. To find y, plug x = 30 into the Pythagorean theorem equation:

\(30^2 + y^2 = 50^2

y^2 = 50^2 - 30^2\)

y = √(2500 - 900) = √1600 = 40

Now plug in the values of x, y, and dx/dt into the differentiated equation:

2(30)(8) + 2(40)(dy/dt) = 0

Step 4: Solve for dy/dt.
480 + 80(dy/dt) = 0
80(dy/dt) = -480
dy/dt = -480 / 80 = -6

So, when the base of the ladder is 30 feet from the wall, the top of the ladder is sliding down the wall at a rate of 6 feet per second.

for such more question on rate

https://brainly.com/question/119866

#SPJ11

Hosting a dinner party for 38 people, you plan to serve peach pie for desert.
Each pie has 8 slices.
How many slices are in each pie?

Answers

Answer:

40 slices

Step-by-step explanation:

I rounded 38 to 40 and divided by 8

PLEASE HELPPP THANKS​

PLEASE HELPPP THANKS

Answers

Answer: The last option. X is greater than or equal to -3

Step-by-step explanation:

If you are searching for all of the values highlighted in red, then it must be every single value greater than x=-3 including the value itself (the dot located on the value is shaded, therefore you must include it within the domain).

state the value of factorial 6 !
\( \\ \)

ty! ._.

Answers

6*5*4*3*2*1 = 720

hope this helps!
Hello !

──────⊹⊱✫⊰⊹──────

What is the State the value of factorial 6 ?

Aɴsᴡeʀ :-

720

✔︎ Expʟaɴaᴛiᴏn :

Because we have to do first !

ɴ = ɴ × (ɴ - 1) × (ɴ – 2) × (ɴ – 3) = 6

So your factorial will be 6.

Oʀ, ʏᴏᴜ ᴄᴀɴ ᴅᴏ ɪs:-

6 = 6 × (6 -1) × (6 – 2) × (6 – 3) × (6 – 4) × 1

720.

Aɴᴅ, ʏᴏᴜ ᴄᴀɴ ᴅᴏ ɪs.

6 × 5 × 4 × 3 × 2 × 1

= 720

Thus, your factorial will be 6 is 720.

Hope It Helps! ~

Aɴsᴡeʀ :-

Sxɴɴʏsᴏᴜʟ
.



True or false - A risk ratio and an odds ratio are different names for the same concept

Answers

True would be right

2. Name the property illustrated by this equation
-5 · 1 = -5

Answers

Answer:

Inverse Property (B)

Step-by-step explanation:

As we can see multiplication of 5 and 1/5 is 1. It is obtained by inverse property of multiplication because according to this if number multiply by its reciprocal is equal to one.

And we can say 1/5 is a reciprocal of 5

John put $3, 000 in his savings at 2% annually for 3 years. What did he earn in simple interest?

Answers

Answer:

End Balance: $5,160.00

Total Interest: $2,160.00

Step-by-step explanation:

Total Interest =$3000 × 2% × 3 × 12

=$2,160.00

End Balance =$3000 + $2,160.00

=$5,160.00

Answer:

can we get the options

Step-by-step explanation:

Other Questions
please solve for all values of real numbers x and y that satisfy the following equation: 1 (x iy)5 = 32 most of the total force for overhead activities comes from the trunk. question 20 options: true false What is the PTP for 8/26? How did the black triangle and acid rain affect people from other countries? If a person is twelve years old, how many pi years would they be? She always took it upon herself to challenge anyone who disagreed with her.Which word is the indefinite pronoun? If LMN=XYZ, which congruences are true by CPCTC? pls solve both of them i willrate ur answerExample 1: Find the parametric representation of: (c) Elliptic paraboloid z = x2 + 4y2 How do I balance redox reactions? Cemal Can deposits 50,000 into his bank account. For the first 4 years the bank credits an interest of i compounded quarterly and 3i compounded monthly after that. If he has 120,000 in his account after 11 years, how much does he have in his account after 7 years from today? Write the inverse of the given conditional statement.Conditional Statement: "If I live in Charleston, then I live in South Carolina." What is the term for a word that describes nouns and pronouns?A. VerbB. AdjectiveC. AdverbD. Preposition The management team at Foxy Estate Agents Limited are concerned as there appears to be a genuine downturn in the housing market and vendors appear to be questioning the value offered by the traditional estate agent. Because of these concerns, the managing director has asked you to analyse their financial situation in the following month. To help you, you have extracted the following details from their latest forecast: Expected number of Sales in June Price charged per complete house sale 2,000 Variable costs: Sales commission per sale 300 Marketing cost per sale 500 Fixed Costs: Sales and Marketing salaries E10,000 per month Administration expense 4,000 per month Rent, rates and property costs 6,000 per month Other fixed costs 4,000 per month To address their issues, the marketing director is proposing that Foxy reduce sales and marketing salaries to 5,000 per month and increase the commission per house sale to 500 Required: a) Referring to the current situation calculate and briefly comment on the following 1) The breakeven point per month, in both units and sales revenue ii) The margin of safety in units if Foxy Limited managed to sell 20 houses in June TH) How many houses Foxy would need to sell to generate a profit of 10,000 in June When giving a speech on crocheting, you are sure to note the large number of mittens you have crocheted. Which type of appeal is this? The U.S. Census defines family asa. a kinship system of all relatives living together or recognized as a social unit.b. two or more persons related by blood, marriage or adoption.c. two or more persons who share a common residence.d. a unit that consists of a mother, father and at least one child, who share a common residence. Paul's Programming Services paid $100 dividends. Show how to use T-accounts to record this transaction by selecting the correct answer below. Multiple choice question. Credit Cash; debit Common stock. Debit Dividends; credit Cash. Debit Cash; credit Dividends expense. Credit Cash; debit Retained earnings. If I run 50 yards, how much less did I run(in inches) than 50 meters? you and a friend start riding bikes towardeach other from opposite ends of a 24-mile biking route. youride 2 1/6 miles every 1/4 hour . your friend rides 7 1/3 miles per hour.a. after how many hours do you meet? b. when you meet, who has traveled farther? how much farther? _____ is a supposition that assumes individuals act to maximize their own benefit Assume that y is a differentiable function of x, and find dx/dy for: x^2y3xsiny+4y^2=cos(2y)