Ella invested $2,700 in an account paying an interest rate of 5.4% compounded
monthly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $4,020?

Answers

Answer 1

Answer:

7.4 years

Step-by-step explanation:

This is a compound interest question, from the question, we know we are to find the time.

The formula for Time in compound interest =

t = ln(A/P) / n[ln(1 + r/n)]

Where:

A = Amount after time t = $4,020

P = Principle = Initial amount invested = $2700

r = Interest rate = 5.4% = 0.054

t = ??

n = compounding frequency = monthly = 12

t = ln(A/P) / n[ln(1 + r/n)]

t = In(4020/2700)/12[In(1 + 0.054/12)]

t = 7.388 years

Approximately = 7.4 years


Related Questions

Can someone please solve this?

Answers

Answer:

[tex]\frac{7}{10}=\frac{14}{20}[/tex]

[tex]\frac{3}{4}=\frac{15}{20}[/tex]

so, [tex]\frac{7}{10}<\frac{3}{4}[/tex]

Step-by-step explanation:

I did it found it on hope this helps

Find the value of X. round to the nearest tenth

Answers

There is no equation, what is the equation?

Answer:

what is the equation

Step-by-step explanation:

Which of the numbers given below is an irrational number ?

0
2.14
2.14367.....................

Answers

Answer:

2.14367............. is a irrational number.

I need help thank you

Answers

Answer:

16n + 41

Step-by-step explanation:

2(-n - 3) - 7(5 + 2n) (Given)

-2n - 6 - 35 - 14n (Distribute)

-16n - 41 (Add like terms)

16n + 41 (Divide by a factor of -1)

Answer:

B. -16n - 41

Step-by-step explanation:

Use the distributive property:

2(-n - 3) - 7(5 + 2n)

-2n - 6 - 35 - 14n

Combine like terms:

(-2n - 14n) + (-6 - 35)

-16n - 41

3-2|x+4|+3=1 the answer for this​

Answers

Answer:

x={-3/2,-13/2}

Step-by-step explanation:

3-2|x+4|+3=1

-2|x+4|+6=1

-2|x+4|=-5

|x+4|=5/2

x+4=5/2

x+4=-5/2

x=5/2-4

x=-3/2

x=-5/2-4

x=-13/2

Select the correct answer.
Which statement is true about this equation?
3(-y + 7) = 3(y + 5) + 6
A
The equation has one solution, y= 0.
OB.
The equation has one solution, y=-1.
C.
The equation has no solution.
D.
The equation has infinitely many solutions.
Reset

Answers

I think it’s A but if it is not then sorry but just try

Answer:

THE ANSWER IS A. I GOT IT RIGHT ON EDMENTUM.

Step-by-step explanation:

A

The equation has one solution, y= 0

What value(s) of x will make x2 = 9 true? O A. 3 and -3 O B. 3 a O c. 3 O D. 81 and -81​

Answers

Answer: D. 3

Step-by-step explanation:

3 times 3 equals 9 so the answer is 3

Answer:

The answer is 3.

Step-by-step explanation:

I took the quiz and got 100%

If the simple interest on $7,000 for 9 years is 3,780, then what is the interest rate?

Answers

Answer:

6%

Step-by-step explanation:

Interest = Principal × Rate × Time/100

$3780 = $7000(9)(rate)/100

63000rate = 378000

rate= 378000/63000

rate = 6% per annum (Answer)

(I’ll give brainliest)

Answers

Answer:

letter choice A and C

Step-by-step explanation:

jshdhd


19 dozen cookies to individual cookies

Answers

Answer:

228 individual cookies.

Step-by-step explanation:

To convert 19 dozen cookies to individual cookies, we first have to identify that:

[tex]dozen=12[/tex]

If a dozen is equal to 12, to solve, we simply must multiply the amount of dozens, which is 19, by a dozen, which is 12:

[tex]19*12=[/tex]

[tex]228[/tex]

Therefore, there are 228 individual cookies.

-

We can check our  work by dividing the individual number of cookies, 228, by dividing buy the amount of dozens, 19, and a dozen, 12:

[tex]228[/tex] ÷ [tex]19=12[/tex]

[tex]228[/tex] ÷ [tex]12=19[/tex]

As you can see, our quotients are the two figures we started with, and when multiplied together, give us 228 individual cookies; therefore, our solution is correct!

PLZZZZZZZZZ HELP!!!
Select the correct answer.
In 14 days, the daily high temperature in Cedar Hills dropped by 16.8 degrees Fahrenheit. What is the average daily rate of change in the high temperature in degrees Fahrenheit?
A.
+2.2
B.
+1.2
C.
+1.1
D.
-1.2
E.
-2.2

Answers

the answer choice is B.

The line passing through which two points is parallel to the line x - 2y = 16?
A) -6,-1 and 2,-5
B) -4,-6 and 2,-9
C) -5,7 and 0,-3
D) -1, 5 and 3,13
E) -4,7 and -2,8

Answers

Answer:

E) -4,7 and -2,8

Step-by-step explanation:

parallel lines have same slope

x - 2y = 16

y = 1/2 x -8     slope: 1/2

E. slope = Δy / Δx = (8-7) / (-2 - -4) = 1/2

Using the slope, it is found that the line passing through points (-4,7) and (-2,8), option E, is parallel to the given line.

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

The equation of a line, in slope-intercept formula, is given by:

[tex]y = mx + b[/tex]

In which m is the slope.If two lines are parallel, they have the same slope.Given two points, the slope is given by change in y divided by change in x.

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

The line given is:

[tex]x - 2y = 16[/tex]

In slope-intercept formula:

[tex]2y = x - 16[/tex]

[tex]y = \frac{x}{2} - 8[/tex]

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

In this question, we want a line with an slope of 1/2.

At option E, the points are (-4,7) and (-2,8), thus, the slope is:

[tex]m = \frac{8 - 7}{-2 - (-4)} = \frac{1}{-2 + 4} = \frac{1}{2}[/tex]

Thus, the line passing through points (-4,7) and (-2,8), option E, is parallel to the given line.

A similar problem is given at https://brainly.com/question/22532445

Please help me! I don’t know what to do!!! 15 pts!!

Answers

I believe the answer is A

Answer:

is (A).

Step-by-step explanation:

The answer is (A).

Find the area of the equilateral triangle whose side length is a. Please help, 10 points.

Answers

Answer:

see explanation

Step-by-step explanation:

The area (A) of an equilateral triangle with side a is calculated as

A = [tex]\frac{a^2\sqrt{3} }{4}[/tex]

whoever comments first gets brainliest and whoeverelse answers gets 50 points cause why not 2=2=3=4=5=6=7=8=9=0+12345-7=9(so it doesn't get taken down)

Answers

Answer:

Yo whats up

Step-by-step explanation:

I win and im the brainlest.

3x+7y=17
3x-6y=4
solve this by elimination method plzzzzzzzzzzzzz helppppppppppppp meeeeeeeeeee

Answers

Answer:

[tex](\frac{10}{3}, 1)[/tex]

Step-by-step explanation:

1) In order to solve a system of equations with the elimination method, you need to add or subtract the two equations and "eliminate" variables by canceling out terms. This leaves you with an equation with only one variable to solve. Then, once you solve that equation, you can substitute the answer you got into one of the system's equations to find either the x or y value.

This problem already has one 3x in each equation, so let's focus on canceling that term out, eliminating the x variable. To set up this situation, we need one 3x to be negative, so let's multiply the terms in 3x-6y = 4 by -1, which gets us to -3x + 6y = -4. Now let's "cancel out" those x variables by adding them together.  (This work is shown in the first picture.)

Remember to add the other terms. This leaves us with the equation 13y = 13. By isolating y, we can find its value, which leaves us with y = 1.

2) Next, let's substitute 1 for y in one of the two equations. In this case, I used 3x + 7y = 17. Then, isolate x to find its value:

[tex]3x + 7 (1) = 17\\3x + 7 = 17 \\3x = 10 \\x = \frac{10}{3}[/tex]

Therefore, the answer would be [tex](\frac{10}{3} , 1)[/tex].

Help ASAP plz
3. Solve by graphing. (y=mx + b)
y=-x+10
x+y=10
What is the solution and also solve using algebra

Answers

Answer: Im sorry im bad at mafs

Step-by-step explanation:

X = [ ? ]

PLEASE HELP

Answers

Step-by-step explanation:

60° + 60° + x + x = 180°. (Sum of angles in a triangle = 180°)

Therefore 2x = 60° and x = 30°.

Answer:

Step-by-step explanation:

2x + 60 = (180 - 60)

x = (180-120)/2

x = 30

Which percent is equivalent to 2.5?
2.5%
25%
250%
2,500%

Answers

Answer:

250%

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

What are 3 different ways to write a ratio?

Answers

Answer:

Cross Multiplication.

Proportion.

½ =

/

proportionate. 1:2 = 4:8. 1 to 2 = 4 to 8.

Step-by-step explanation:

With the word to
Ex: 3 to 4

As a fraction
Ex: 1/2

And with a colon
Ex: 3 : 4

Find the nth term of this quadratic sequence
4,9, 16, 25, 36,​

Answers

Answer:

[tex]a_{n}[/tex] = (n + 1)²

Step-by-step explanation:

The terms are square numbers with each term shifted to the right by 1

That is 1, 4, 9, 16, 25, 36, .....

Thus to obtain 4 in the first position, then

n = 1 → (1 + 1)² = 2² = 4

To obtain any term add 1 to its position in the sequence, that is

[tex]a_{n}[/tex] = (n + 1)²

What is RU?
A.20
B.30
C.12
D.15

Answers

I think the answer to the question is 20

Answer:

a

Step-by-step explanation:

The segment  RT is a perpendicular bisector and means Δ RSU is isosceles, then the 2 legs are congruent, that is

RS = RU , substitute values

8x = 6x + 5 ( subtract 6x from both sides )

2x = 5 ( divide both sides by 2 )

x = 2.5

Thus

RU = 6x + 5 = 6(2.5) + 5 = 15 + 5 = 20 → a

what is the domain and range

Answers

Answer:

0,1,2,3 is the domain

-2,1,2,4 is the range

2 numbers are in ratio 2 is to 4 if their sun is 147 then what i the largest number?

Answers

Answer:

The larger number is 98

Step-by-step explanation:

Let the numbers be a and b

a/b= 2/4

4a = 2b ------- 1

a + b = 147 -----2

a= 147 - b -------3

Substitute equation 3 into 1

4(147 -b) = 2b

588 - 4b = 2b

588= 2b + 4b

588 = 6b

b= 588/6

b= 98

Substituting b= 98 into 1

4a = 2(98)

4a = 196

a= 49

The larger number is 98

Divya wants to rent a car to drive for the weekend. The rental company has a special that allows her to rent it for $200 for the weekend, plus $0.07 per mile. Divya only has $230. Write an inequality, solve, and determine her limitations when renting.

Answers

Answer:

[tex]200 + 0.07m \leq 230[/tex]

A maximum of [tex]\approx[/tex] 428 miles is the distance what Divya can travel.

Step-by-step explanation:

Given that:

Rent to be paid for the car in the weekend = $200

Charges to be paid per mile = $0.07

Total money available  with Divya = $230

To find:

The inequality as per her limitations and solution to the problem.

Solution:

Let the number of miles for which Divya can drive = [tex]m[/tex] miles

Charges for one mile = $0.07

Charges for [tex]m[/tex] miles = $0.07[tex]m[/tex]

Total charges for renting and [tex]m[/tex] miles = Rental charges + Operational charges

Total charges for renting and [tex]m[/tex] miles = $200 + $0.07[tex]m[/tex]

These are charges must be lesser than equal to the amount of money available with Divya.

Therefore, we can write:

[tex]200 + 0.07m \leq 230[/tex]

Subtracting 200 from both the sides:

[tex]0.07m \leq 30[/tex]

Dividing both sides with 0.07:

[tex]m \leq \dfrac{30}{0.07}\\m\leq 428.6[/tex]

Therefore, a maximum of [tex]\approx[/tex] 428 miles is the distance what Divya can travel.

Find the value of x in a triangle 68 27

Answers

They should add up to 180, so you do 68 + 27 + x =180 and solve from there!

PUZZLE: six wolves catch six lambs in six minutes. How many wolves will be needed to catch sixty lambs in sixty minutes?

no, the answer is not sixty!!

Answers

six i think cause it take each wolf 6 minutes to catch a lamb so it should still be six

9. Determine which of the following sequences is a geometric sequence. Check all that apply.
3,9, 27, 81, ...
100, 90, 80, 70, ...
5, 10, 20, 40, ...
2, 10, 18, 26,...
625, 125, 25, 5, ...
-2, 6, -18, 54, ...

Answers

Step-by-step explanation:

first geometric sequence

3^1, 3^2 ,3^3, 3^4,......

3, 9, 27, 81.......

second

5^1, 5^2, 5^3, 5^4,........

5, 25, 125, 625,........

third

2, 10, 18, 26,.....

which has the difference of 8

fourth

100, 90, 80, 70,......

Ted weighs twice as much as Julie Mike was three times as much as Julie together Ted Mike and Julie weigh 210 lb what is the weight of each person

Answers

Answer: Ted weighs 70 Julie weighs 35 mike weighs 105

Step-by-step explanation:

I looked it up ;-)

TRAVEL It is about 350 miles from Ruidoso, New Mexico, to Abilene, Texas. Haruko has already driven 75 miles and made it to Roswell, New Mexico. She hopes to finish the rest of her trip, including stops, in 5 hours. Write an equation to find the average speed Haruko needs to drive to finish the rest of her trip in 5 hours.

Answers

Answer:

55 mph

Step-by-step explanation:

Given that:

Total miles of journey = 350 miles

Miles already driven = 75 miles

To cover the rest of the journey in 5 hours, the average speed of travel. Will be:

Recall:

Speed = (Distance left to cover ÷ budgeted travel time)

Distance left to cover : (total miles - distance already driven)

Average speed required = (350 - 75) / 5

= 275 / 5

= 55 mph

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