Adrian invested $790 in an account paying an interest rate of 6.9% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $2,550?​

Answers

Answer 1

Answer:17

Step-by-step explanation:

trust me its right, no cap

Answer 2

As per compound interest,  it would take 17 years for the value of the account to reach $2,550

What is the compound interest?

If the invested amount is 'P', the rate of interest is r%, and the time of investment is 'n' years, then the compound interest after mentioned duration is = P[1 -  [tex]e^{rn}[/tex]]

Given, the invested amount (P) = $790.

Rate of interest (r) = 6.9% = 0.069.

Let, the amount is invested for 'n' years.

The value of the amount after 'n' years = $2550.

Now, as per compound interest:

A = P. [tex]e^{rn}[/tex]

⇒ 2550 = 790 [tex]e^{(0.069n)}[/tex]

⇒ [tex]e^{(0.069n)}[/tex] = (2550 ÷ 790)

⇒ [tex]e^{(0.069n)}[/tex] = 3.23

⇒ 0.069n = 1.172

⇒ n = 17

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Related Questions

At a sale, coats were sold for 52% of their original price. If the coats originally cost
$200 each, how much did a coat cost on sale?
Help me please

Answers

Answer:

Answer is 104

Step-by-step explanation:

The selling price of the coat is $104.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Original price = $200

Selling price.

= 52% of $200

= 52/100 x 200

= $104

Thus,

$104 is the selling price of the coat.

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-2(7 – n) + 4
What is the answer to this any body know it??????????

Answers

2x-10 is the answerr

Answer:

2n+10

Step-by-step explanation:

you just distribute the -2 and you get -14+2n+4 and then add and you'll get 2n+10

if you are solving for the variable n then you would want your equation like this 2n+10=0

next you would put the 10 on the other side of the equation and have 2n=-10

finally you would divide by 2 and get n=-5

Choose the best graph that represents the linear equation: -5x - y = 0 Graph A On a coordinate plane, a line goes through (0, 0) and (1, 5). Graph B On a coordinate plane, a line goes through (0, 0) and (5, 1). Graph C On a coordinate plane, a line goes through (0, 0) and (negative 1, 5). Graph D On a coordinate plane, a line goes through (0, 0) and (1, negative 5). a. Graph A c. Graph C b. Graph B d. Graph D

Answers

Answer:

2,4 is indeed correct on edg.

Graphs that show a linear function is second option

The linear equation graphs are the equation of straight line graph with slope.

for example y = mx  where (x,y) be the point on the line and m be the slope.

here the only second graph shows a straight line graph. y values changes by when x value changes. there is a slope.

when we a x value we can compute the corresponding y value.

Step-by-step explanation:

Use the quadratic formula to solve 2x2 + 2x - 12?

Answers

Answer:

2,-3

Step-by-step explanation:

i did the math lol- trust me

Answer:

yellow: 2 & -3

Step-by-step explanation:

Plz help due tomorrow

Answers

Answer:

20.5+10x

Step-by-step explanation:

Evaluate the expression for k = 2.

4k2 =

Answers

Answer:

16

Step-by-step explanation:

4*2*2

8*2

16

The point (4, 5) is translated two units left and eight units down. What is the y-coordinate of the image?​

Answers

Answer:

the new coords are (2,-3) the new y coord is -3

Step-by-step explanation:

Step-by-step explanation:

Of course the new coordinates are (2,-3)

Hope it helps....

'cause you know better.....

"Sophia and Rebecca's conversations only."

Answers

Answer:

Step-by-step explanation:

Yes

Sophia and Rebbecass conversation

Is it true or false?

Answers

Answer:

True

Step-by-step explanation:

Circumference is diameter x [tex]\pi[/tex]

When you divide [tex]\pi[/tex], you get diameter

I need help with geometry

Answers

Answer:

360

Step-by-step explanation:

Please mark me brainliest, 5 stars, and a thanks! Have a great day!

Fractions less then 1/2

Answers

Answer:

Step-by-step explanation:

16 fractions less than one half

1/9, 2/9, 3/9, 4/9, 1/8, 2/8, 3/8, 1/7, 2/7, 3/7, 1/6, 2/6, 1/5, 2/5, 1/4, 1/3

Answer:

1/3, 1/4, 1/5, 1/6

please find the m∠DEY

Answers

Answer:

41, x=-5

Step-by-step explanation:

m<DEY = m<FEY, by angle bisector theorem

(9x-4) = 41

9x = 45

x = 5

m<DEY = 41

Measure
Angle
48°
А
B
(6. - 28)
(2x)
С
Find the value of x. Then find the measures of angles B and C
Enter your answers in the boxes.
mZB=
O
mZC =
o

Answers

Answer:Measure

Angle

48°

А

B

(6. - 28)

(2x)

С

Find the value of x. Then find the measures of angles B and C

Enter your answers in the boxes.

mZB=

O

mZC =

o

Step-by-step explanation:

Please help me out fast. And make sure to Write and solve an inequality. Or it isn't right.

Answers

Answer:75x+160

8 is the answer exactly 8

Step-by-step explanation:

Answer:

Set variable d for number of days: 75d + 160 < 760; 75d < 600; d < 8. The van has to be rented for less than 8 days for the family to spend less than $760.

Write in Slope Intercept form

Answers

Answer:

y=5/2x

Step-by-step explanation:

the y intercept is (0,0) so it isn't included in the equation. now we know the middle solution isn't correct. the points we use to find slope are (-2,-5) and (2,5) which ends up being 5/2.

What are integers?
Please give your best explanation and a simple example (worth 20 points)

Answers

ExplanationWhat is Integer?

Integer is a subset of Real Number. It can be broken into these following:

Positive IntegerZeroNegative Integer

Integer can be any whole numbers. Keep in mind that Integers cannot be fractions, decimal, approximate value, etc. Integers can only be something like 1,2,3,-1,-2,0.

Integers are like Natural or Counting Numbers except they have 0 and negative numbers.

Positive Integer

Positive Integers are basically a natural or counting number. It starts from 1 to any positive countable infinity. Here is the example of positive integer: 1,2,3,4,5,6,7,...

Zero

Zero is just a number 0. It is between the negative and positive. 0 is neither positive or negative but it is categorized as Zero.

Negative Integers

Negative Integers are opposite of Positive Integers. The opposite of plus is minus and the opposite of minus is plus. Negative Integers are less than both 0 and Positive Integers. Here is the example: -1,-2,-3,-4,-5,...

Integers are whole numbers with a positive or negative counterparts.

If that doesn't make sense let me make some examples

-4, 100, 9300 would be integers. Using my definition they all have negative or positive counterparts.

-2.3, 7.8888(etc.) 2/3 would not be integers. Even though -2.3 and 7.8888(etc.) have negative/ positive counterparts they are not whole numbers.

Hope that helped!

Check you
What is th
y = 3x + 7
5x - 2y=-10

Please answer

Answers

Answer:

x=-4; y=-5

Step-by-step explanation:

5x-2(3x+7)=-10

5x-6x-14=-10

-x=4

x=-4

y=3(-4)+7

y=-5

x = -4 and y = -5
hope this helps!!!

Plzzzzzzzzzzzzzzzz Helo
Answer correct please but It can tell if the answer is wrong ​

Answers

Answer:

im pretty sure 20 seconds

Step-by-step explanation:

Answer:

11.494 seconds

Step-by-step explanation:

I don't think you need to show work

-) Colin is playing a video game. He wins 25 points for each gold coin he finds. His goal is to win
more than 200 points. He wants to know how many gold coins he needs to find.
) Let g be the number of gold coins Colin finds. Which inequality represents the situation?
259 > 200
259 > 200
25 +9 > 200
25+ 9 > 200

Answers

Answer:

A

Step-by-step explanation:

25g>200

so A

if my answer helps please mark as brainliest.

lots of pointssssss :)

do each part pls (u will be reported if u do not thank)

(4,803) · 95

Answers

Answer:

i know you said you are going to make another question, and i am going to try to go to that one but here's the answer to this one:

456,285

Math* please help!!!!

Answers

Answer:

I think its 19.1

Step-by-step explanation:

14 + 5.1

Maybe try

We need to use the formula for Area of trapezium.

Area = ((a+b)h)/2

85.95 = ((14+5.1)h)/2
19.1h/2 = 85.95
19.1h = 171.9
h = 171.9/19.1
h = 9

Jabari deposited $300 in a savings account. Each month thereafter, he deposits $20 into the account. Write a formula to represent this sequence. Begin you formula with an=

Answers

The formula should look something like this an=300+20(m)

A student walks at a rate of 1.5 meters per second for 4 seconds and then stops for 4 seconds. Then the student
continues walking at the original rate.
Which graph best represents the student's walk?

Answers

Answer:

A

Step-by-step explanation:

I finished the question and got it right

Graph is a way to represent a lot of data in a visual formal. The graph that best represents the student's walk is graph A.

What is a graph?

A graph is a way to represent a lot of data in such a visual formal that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.

As we can see that the y-axis of the graph represents the distance traveled by the student while, the time taken by the student to cover the distance is given on the x-axis.

We know that the rate of 1.5 meters per second, means that the student will cover the 1.5 meters in 1 second, therefore, the line will be a slope that will represent the walk of the student. At time t=4 seconds, a student stopped for 4 seconds therefore, the time will increase but the distance will be constant for the student, therefore, the situation will be represented by a horizontal line.

Hence, the graph that best represents the student's walk is graph A.

Learn more about Graph:

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True of flase a point (0,2) can be reflected across the x-axis PLEASE HELP 50 POINTS​

Answers

Answer:

The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same. For example, when point P with coordinates (5,4) is reflecting across the X axis and mapped onto point P', the coordinates of P' are (5,-4).

So what do you think the answer is true or false

Answer:

True

Step-by-step explanation:

That is possible since the x is on 0. It can flip and then it lands on (0,-2) I think.

Hope this helped!

Travis wants to build a small rectangular fence. He has enough material to build a fence that has a perimeter of 100 feet. Let x represent the length of the fence in feet.

Travis wants to use all of the available materials. What values of x will fence in an area of at least 600 square feet?

Answers

Answer:

x=250?

Step-by-step explanation:

you being vague bro

There is a line whose slope is 7 and whose y-intercept is -5. why is it's equation in slope-intercept form?​

Answers

Answer:

y = 7x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 7 and c = - 5, then

y = 7x - 5 ← equation of line

if it takes 7 hours to mow 4 lawns st the rate how many lawns could be mowed in 35 hours

Answers

You take 35 divided by 7 which is 5. 5 an hour and multiply it by 35
35
05
——

Answer:

Lets do 7 times 5. This is 35. That means we will be multiplying 5 by 4 to get 20, so 20 lawns in 35 hous\rrse

Step-by-step explanation:

- 9b = - 45
i need help asap pls

Answers

Answer:

b=5

Step-by-step explanation:

Answer:

b=5

Step-by-step explanation:

Not copying....

have a nice day

A student answers 75% of the questions on a math exam correctly.If he answers 15 questions correctly,how many questions are on the exam

Answers

Answer:

20

Step-by-step explanation:

The difference between six times a
number and one is seventeen

Answers

Answer:

3

Step-by-step explanation:

17 + 1 = 18

18/6 = 3

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