Suppose that $2000 is loaned at a rate of 11.5%, compounded annually. Assuming that no payments are made, find the amount owed after 6 years.Do not round any intermediate computations, and round your answer to the nearest cent.

Answers

Answer 1

Given

The amount loaned is $2000.

The interest rate is 11.5%.

Time taken is 6 years.

To find, the amount owed after 6 years.

Explanation:

It is given that,

The amount loaned is $2000.

The interest rate is 11.5%.

Time taken is 6 years.

Then,

\(\begin{gathered} A=P(1+\frac{r}{100})^t \\ =2000(1+\frac{11.5}{100})^6 \\ =2000(1.115)^6 \\ =\text{ \$}3843.078 \end{gathered}\)

Hence, the answer is $3843.08.


Related Questions

Adam scored 16 points during his last basketball game, which was 40% of the total points the team scored. How many points did the entire team score?

Answers

Answer:

The team scored 40 points.

Step-by-step explanation:

Adam scores 16 points, which is 40% of the teams entire score.

100/40=2.5

2.5x16=40

The entire team scored 40 points.

Answer:

40 points

Step-by-step explanation:

1/4 of 40% is 10%. So, 16/4 is 10% of the total score. 16/4 is 4. So, if we find the product of 4 and 10 it is 40. Thus, 40 is the total score.

can someone help with questin 1 and 2. ​

can someone help with questin 1 and 2.

Answers

Answer: are you single

Step-by-step explanation:

-
The sum of 2 and x is at least - 19.

Answers

2 + x = -19 <=> x = -19 -2 = -21

find the point p that partitions the line segment AB given the ratio. A(3,5)B(4,3) with the ratio. 3:1

Answers

The coordinates of p which divides the line AB in ratio 3:1 is (3.75, 3.5).

What is section Formula?

The section formula provides the coordinates of a point that, either internally or externally, divides the line connecting two locations in a ratio.

P ( x , y ) = ( c ⋅ m + a ⋅ n m + n , d ⋅ m + b ⋅ n m + n ) .

Ratio of line = 3:2

m and n represents the ratios 3:2

let the coordinates of p(x, y).

using Section formula

= [ (3(4) + 1(3) / (3+1), 3(3) + 1(5) / 3+ 1]

= (15/ 4, 14/4)

= (3.75, 3.5)

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Kayden owns a small business selling ice-cream. He knows that in the last week 16 customers paid cash, 33 customers used a debit card, and 6 customers used a credit card.
If next week, he is expecting 400 customers, about how many would you expect to pay with a credit card? Round your answer to the nearest whole number.


Answer:

Answers

In linear equation, The number of customers who will pay by debit card will be 44.

Which equation is linear?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                     Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

16 + 33 + 6 = 55 customers.

That means that the fraction of the customers, who paid by debit card, was

6/55  

In situations like that, when we use historical data and try to predict future behaviour, we use that past experience and extrapolate to a predicted result.

we simply say that we expect the same fraction, 1/30 if customers use credit cards.

for the absolute number of predicted debit  card customers we multiply the predicted number of customers by the expected fraction

400  × 6/55 = 2400  /55  = 43.63 ≈ 44

Therefore the number of customers who will pay by debit card will be 44.

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Reflection. Can anyone figure this out?

Reflection. Can anyone figure this out?

Answers

Hope this helps :p

<3

Reflection. Can anyone figure this out?

list seven advantages that aluminum parallel-flow plate-and-fin evaporator has over a standard round copper tube plate-and-fin evaporator.

Answers

The aluminum parallel-flow plate-and-fin evaporator has several key advantages over the standard round copper tube plate-and-fin evaporator are Lighter Weight, Improved Heat Transfer Efficiency.

An evaporator is a device used in air conditioning and refrigeration systems to remove heat from the refrigerant, which helps to cool down the air. There are two main types of evaporators: the aluminum parallel-flow plate-and-fin evaporator and the standard round copper tube plate-and-fin evaporator.

The parallel-flow design of the aluminum evaporator provides a larger surface area for heat transfer, which results in more efficient cooling. This means that less energy is required to achieve the same cooling effect.

Reduced Pressure Drop: The parallel-flow design also reduces the pressure drop in the refrigerant, which can improve the overall efficiency of the air conditioning or refrigeration system.

Aluminum is lighter than copper, which makes the aluminum evaporator easier to handle and install. This can be especially important in large air conditioning or refrigeration systems where weight and handling can be a significant concern.

Increased Durability: Aluminum is a more durable material than copper, which means that the aluminum evaporator is less likely to suffer from corrosion or other types of damage over time.

Better Resistance to Leakage: The parallel-flow design of the aluminum evaporator provides a tighter seal, which reduces the risk of refrigerant leakage. This helps to maintain the efficiency of the air conditioning or refrigeration system.

Lower Maintenance Costs: The increased durability and better resistance to leakage of the aluminum evaporator can help to lower maintenance costs over time.

Improved Environmental Performance: The improved efficiency and reduced pressure drop of the aluminum evaporator can help to lower the energy consumption of the air conditioning or refrigeration system. This can result in a reduction in greenhouse gas emissions and other environmental impacts.

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A sales person has a commission of $532 for selling $2800 in merchandise what is the commission rate and what is the answer as a percentage

Answers

So first we can use a formula to find this out:

Commission amount= sales price* commission percentage

We need to find the commission percentage so we rearrange the equation and plug in the known values:

Commission amount/ sales price = commission percentage

532/2800= commission percentage

Solve the equation: 532/2800= 0.19

0.19 can be converted into percentage as: 0.19*100= 19%

Therefore commission rate= 19%

Pleaseeee helpppp meeee

Pleaseeee helpppp meeee

Answers

Hi
Step-by-step explanation
1 pantbrush —————— 5,2x10^-3 kg
750 paintbrushes ——— x

x= 750 x 5,2x10^-3= 3,9kg

The DrJocker


in the triangle shown determine j to the nearest degree

in the triangle shown determine j to the nearest degree

Answers

Answer:

63

Step-by-step explanation:

Tan x = 3.5/1.8

Tan X=1.94444

x=62.78

16 points + BRAINLIEST if your answer is correct!

16 points + BRAINLIEST if your answer is correct!

Answers

Answer:

second one

112 red tomatoes

Step-by-step explanation:

8 - 5 = 3

42/3 = 14

14 times 8 = 112

If the 11th of a geometric sequence is 32 times larger than the 6th term, then what is the common ratio of the sequence?

Answers

Answer:

2

Step-by-step explanation:

Hello, let's note \((a_n)\) this sequence and r the ratio, we can write

\(a_n=a_0r^n\)

With \(a_0\) different from 0 and then

\(a_{11}=32a_6<=>a_or^{11}=32a_0r^6<=>r^{11-6}=32=2^5<=>r^5=2^5<=>r=2\)

Thanks

Question 10 of 10
If f(x) = 2x² + 1 and g(x) = x² − 7, find (f+ g)(x).
-
O A. 3x² - 6
OB. 3x² +8
O C. x² +8
O D. x² - 6
← PREVIOUS
E

Answers

In the question of functions, If f(x) = 2x² + 1 and g(x) = x² − 7, then (f+ g)(x) =

3x² - 6

What is a function?

A function is defined as a relationship between a set of inputs that each have one output. A function is a relationship between inputs in which each input is related to exactly one output. Every function has a domain and a codomain, as well as a range.

In general, a function is denoted by f(x), where x is the input. A function's general representation is y = f. (x). These functions are also classified into different types, which we will go over in this section.

Lets add  f(x) = 2x² + 1 and g(x) = x² − 7

(f+g)(x) = (2x² + 1) + (x² − 7)

           =  2x² + 1 + x² − 7

           = 3x² - 6

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Can anyone solve this? And I’d appreciate if you explain how to do it.

Can anyone solve this? And Id appreciate if you explain how to do it.

Answers

90-22 = 68
The answer is 68 degrees

ILL GIVE BRAINLY What is the surface area of the cube?

Drag and drop the correct surface area to match the cube.

ILL GIVE BRAINLY What is the surface area of the cube?Drag and drop the correct surface area to match

Answers

Answer:

Below

Step-by-step explanation:

A cube has SIX sides of equal area

  each side has area = L x W       and L and W are the same = 4.5 m

      so:   Area =   six   X   ( 4.5  X 4.5)  =   6 * 4.5 * 4.5 = 121.5 m^2

Answer:

Hope the picture will help you...

ILL GIVE BRAINLY What is the surface area of the cube?Drag and drop the correct surface area to match

Which is most likely to weigh 2 pounds? A. a mouse B. a pencil C. a dictionary D. a school desk​

Which is most likely to weigh 2 pounds? A. a mouse B. a pencil C. a dictionary D. a school desk

Answers

Answer:

Step-by-step explanation: a mouse

Graph the linear equation find three points that solve the equation then plot on the graph. x-y=0

Answers

Answer:

Step-by-step explanation:

> the equation given is x-y =0

> three points that will solve the equation could be

if x= -2 , y = -2 then x-y = 0 is -2 -(-2) =0 so it works point (-2,-2)

if x=1, y = 1 then x-y = 0 is 1-1 =0 is true so we have point (1, 1)

if x=2 ,y= 2 then x-y = 0 is 2-2 =0 is true so we have point (2, 2)

Graph the linear equation find three points that solve the equation then plot on the graph. x-y=0

What is the common difference in the arithmetic sequence 30, 27, 24, 21, 18, ...? a. -1 c. 3 b. -3 d. 30 Please select the best answer from the choices provided

Answers

Answer:

b. -3

Step-by-step explanation:

30 - 3 = 27

27 - 3 = 24

24 - 3 = 21....

solve this equation
3/5x-2=2/3x-1

Answers

The solution to the equation 3 / 5x-2 = 2 / 3x-1 is x = 1.

What is the solution to the given equation?

Given the equation in the question;

3 / 5x-2 = 2 / 3x-1

To solve for x, cross multiply the equation

3 / 5x-2 = 2 / 3x-1

3( 3x - 1 ) = 2( 5x - 2 )

Apply distributive property

3( 3x - 1 ) = 2( 5x - 2 )

3×3x + 3×-1 = 2×5x + 2×-2

9x - 3 = 10x - 4

Subtract 10x from both sides

9x - 10x - 3 = 10x - 10x - 4

9x - 10x - 3 = - 4

Add 3 to both sides

9x - 10x - 3 + 3 = - 4 + 3

9x - 10x  = - 4 + 3

-x = -1

Divide both sides by -1

-x/-1 = -1/-1

x = 1

Therefore, the value of x is 1.

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!!!MAJOR HELP AND NO LINKS AND IF YOU DONT KNOW BUT YOU STILL ANSWER, I WILL REPORT IF YOU SAY SOMETHING THAT IS NOT AN ANSWER!!!
What is the solution for the equation X/9=9?
Answers above

!!!MAJOR HELP AND NO LINKS AND IF YOU DONT KNOW BUT YOU STILL ANSWER, I WILL REPORT IF YOU SAY SOMETHING

Answers

Answer:

x = 81

Step-by-step explanation:

81/9 = 9

81 is the solution 9 times 9 is equal to 81

Tristi contributes a set percentage of her gross pay to a 401k account and will have a total of $133,473.00 by retirement. Tristi's employer also contributes a set percentage, which will increase her total to $262,612.00. What is the percent increase between the total without and the total with Tristi's employer's contribution? Round your final answer to the nearest whole percent. (1 point)
59%
63%
81%
97%

Answers

Answer:

97%

Step-by-step explanation:

I got 63% wrong :') it showed that 97% was right.

Tristi contributes a set percentage of her gross pay to a 401k account and will have a total of $133,473.00

The percent increase between the total without and the total with Tristi's employer's contribution is 97% option (D) is correct.

 

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that;

Tristi contributes a set percentage of her gross pay to a 401k account and will have a total of $133,473.00 by retirement.

Using the formula of percentage increase:

= [($262,612.00 - $133,473.00)/ $133,473.00] x 100

= 97 %

Thus, the percent increase between the total without and the total with Tristi's employer's contribution is 97% option (D) is correct.

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Write a polynomial that represents the area of the shaded region

Write a polynomial that represents the area of the shaded region

Answers

The polynomial that represents the area of the shaded region is given as follows:

x² - 3x + 36.

How to obtain the area of a rectangle?

The area of a rectangle is given by the multiplication of the width and the length of the triangle, as follows:

A = lw.

For the entire region, the area is given as follows:

A = (x + 1)(x + 1)

A = x² + 2x + 1.

The area of the white region is given as follows:

Aw = 5(x - 7)

Aw = 5x - 35.

Then the area of the shaded region is given as follows:

As = A - Aw

A = x² + 2x + 1 - (5x - 35)

A = x² + 2x + 1 - 5x + 35

A = x² - 3x + 36.

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Violet bakes 7 dozen cookies.
She ate 2 cookies.
She gave 2 dozen cookies to her brother.
She gave 9 cookies to her mother.
How many cookies did Violet have left?
Show your work.

Answers

Answer: 49 cookies

Step-by-step explanation:  7 dozen= 84 , so subtract 84 by the 2 cookies she ate and you'll get 82, now 2 dozen= 24, so now subtract the 24 cookies that she gave to her brother by 82 and you'll get 58, then subtract the nine cookies she gave to her mom by 58 and you'll get 49 cookies.

so basically,, 84-2= 82 -2 = 58 -9= 49

I hope this helped :)

what is the volume of this composite solid Will give brainliest if Correct​

what is the volume of this composite solid Will give brainliest if Correct

Answers

Answer:

864

Step-by-step explanation:

A

First find the volume of the triangle then multiply it by 12

find the value of the rectangle then multiply it by 12

then add them up

Answer:

A 864

Step-by-step explanation:

Using the slope formula, find the slope of the line through the given points.
(7,8) and (9,4)
...
What is the slope of the line?
A. The slope of the line is
(Type an integer or a simplified fraction.)
B. The slope of the line is undefined.

Answers

Answer:

-2

Step-by-step explanation:

Slope = (4-8) / (9-7) = -4/2 = -2

help asap
IS
Find the value of x. Round to the
nearest tenth.
35
х
12
X=
= [ ?]

help asapISFind the value of x. Round to thenearest tenth.3512X== [ ?]

Answers

Answer:

x ≈ 17.14

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan35° = \(\frac{opposite}{adjacent}\) = \(\frac{12}{x}\) ( multiply both sides by x )

x × tan35° = 12 ( divide both sides by tan35° )

x = \(\frac{12}{tan35}\) ≈ 17.14 ( to the nearest tenth )

compare and contrast area and perimeter

Answers

Answer:

area is the numbers around the shape and perimeter is inside

Step-by-step explanation:

si un angulo mide t6 cual es su medida en grados​

Answers

Step-by-step explanation:

No sé la respuesta exactamente, pero cuando la traduje decía T6, ¿qué es eso?

Is AB perpendicular to CD? Explain.

Answers

Answer:

IF the values are same....................

Answer:

IF the values are same....................

Step-by-step explanation:

IF the values are same....................

SOLVE THIS PLEASE !!!

SOLVE THIS PLEASE !!!

Answers

Answer: B doesn't represent a casual relationship.

Step-by-step explanation: The speed of a student typing a research paper doesn't directly relate to the number of pages written.

Answer:

Its B

Step-by-step explanation:

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