Nancy deposits $2500 into an investing account that pays 6.1% annual interest compounded quarterly. What will be the balance after 10 years? Round to the nearest cent.

Answers

Answer 1

Step-by-step explanation:

P=principle balance

r= interest rate

n= no. of times interest compounded per year

t= time period.

[tex]A = P {(1 + \frac{r}{n}) }^{nt} \\A = 2500 ({1 + \frac{ \frac{6.1}{100} }{4} )}^{4(10)} \\ A = 2500 {(1 + \frac{0.061}{4} )}^{40} \\ A = 2500 {(1 + 0.01525)}^{40} \\ A = 2500 {(1.01525)}^{40} \\ A = 4579.94[/tex]

BRAINLIST PLS

Answer 2

Based on the information given the balance after 10 years is $4579.94

Balance after 10 years

Using this formula

Amount=P(1+r/n)^nt

Where:

P=principle balance=2500

r= interest rate=6.1%

n= Number of times interest compounded per year=4

t= time period=10 years

Let plug in the formula

Amount=2500(1+0.061/4)^4×10

Amount=2500(1+0.01525)^40

Amount=2500(1.01525)^40

Amount=$4579.94

Inconclusion  the balance after 10 years is $4579.94

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Related Questions

Brenna found 10% of 60. Her work is shown below.
10% of 60 = (60 = 2) = 30
O No. Brenna should have divided by 4 to find 10%.
No. She should have divided by 10 to find 10%.
O No. She should have multiplied by 10 to find 10%.
O Yes. Brenna did not make an error.

Answers

Answer: She should have divided by 10 to find 10% of 60 because percent in latin means per centum which means for 100 or per each 100 and dividing by 10 means that the result times 10 equals the original number, so you would need to divide by 10.

Step-by-step explanation:

Factorizing by grouping

xy + 2x + 3y + 6

Answers

Answer:

(x+3)(y+2)

Step-by-step explanation:

(xy+2x)+(3y+6)

x(y+2)+3(y+2)

(x+3)(y+2)

You have a rectangular piece of fabric with side lengths of 7 inches and 4 inches. What is the area of the biggest possible square you can cut from this fabric?​

Answers

Answer:

If you were to cut it in half (3.5 x 2)

The answer would be 7

Step-by-step explanation:

4 in x 4 in = 16 in^2

find the common denominator
7/8
3/10
7/10
2/3

Answers

Answer:

240

Step-by-step explanation:

To find a common denominator, you have to find a number that is a multiple of all the denominators there. So with 240, 240 divide 3 is 80, so that's a multiple, 240 divide 8 is 30, so that is also a common multiple, and 240 divide 10 is 24, so that is also a common multiple.

Can some one help me with this simple project GIVING EXTRA BRAINLIST!!!!

Answers

Okay,

Im not going to do the project because you draw that but, ill give an online overview of ur "project."

Mika can eat 21 hot dogs in 6 minutes. She wants to know how many minutes it would take her to eat
35 hot dogs if she can keep up the same pace.

Answers

Answer: Mika can eat 21 hot dogs in 6 minutes. She wants to know how many minutes it would take her to eat

35 hot dogs if she can keep up the same pace.

Step-by-step explanation: Hope I am right.

In Jackie’s math class, there are 51 students and one-third of the class is boys. How many girls are there in Jackie’s math class?

Answers

Answer:

34 boys

Step-by-step explanation:

you divide 51 by 3 which gets yOU 17 and then you subtract 17 by 51 which gets you 34

-9+(-14)=??

please help!

Answers

Answer:

-23

Step-by-step explanation:

What is a unit rate?

What are the steps for
finding a unit rate?

Each 12-ounce bottle of
shampoo cost $2.15.
What is the cost
per ounce?

Answer all please

Answers

Answer:

1. Cost of a quantity of 1.

2. Divide the cost by quantity.

3. $0.18 per ounce

work: 2.15 / 12 = 0.1791666666666 and round


What is the measure of the angle?

Answers

9514 1404 393

Answer:

  d.  32°

Step-by-step explanation:

Vertical angles are congruent, so ...

  5x +2 = x +26

  4x = 24

  x = 6

  (x +26)° = (6+26)° = 32°

The measure of the angle is 32°.

_____

Additional comment

Vertical angles share a vertex. This means B and E are two names for the same point.

Trigonometry:
Find the value of θ

Answers

Answer:

θ ≈ 50.1°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cosθ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{61}{95}[/tex] , then

θ = [tex]cos^{-1}[/tex] ( [tex]\frac{61}{95}[/tex] ) ≈ 50.1° ( to the nearest tenth )

Ellie hikes 1/2 of a mile every 10 minutes. How far does she hike in 1 hour?
Answer choices:
3
5
4
6

Answers

Answer:

3miles

Step-by-step explanation:

10 minutes is 1/6 of an hour, so in 1 hour ellie would hike 1/2*6=3miles

Answer:

Step-by-step explanation:

There are various ways in which we can solve this problem.

If we're told that Ellie can hike 1/2 mile in 10 minutes, then multiplying both sides of "1/2 mile = 10 minutes" by 6 yields 3 miles in 60 minutes.

Alternatively:  "1/2 mile = 10 minutes" becomes "1 mile in 20 minutes" by the same approach.  Then, multiplying both sides by 3 yields "3 miles in 60 minutes," or "3 miles in 1 hour."

How did the Twenty-fourth Amendment to the Constitution affect African Americans?



A. By defining citizenship, it meant all African Americans were entitled to due process.


B. By allowing citizens to directly elect senators, it gave African Americans a greater voice in the government.


C. By banning slavery, it meant millions of African Americans were free from bondage.


D. By eliminating poll taxes, it meant more African Americans could vote.

Answers

Answer:

The answer is D,..................

Step-by-step explanation:

D

help I will give brainiest is you answer with a explanation

Answers

Answer:

35°

Step-by-step explanation:

As we know vertically opposite angles are equal . So ,

x + 90= 125

x = 125-90 = 35°

Answer:

35

Step-by-step explanation:

125 + 90(APC) + DPA + EPB + x = 360

215 + DPA + EPB + x = 360

DPA = 180 - 125 = 55

EPB = DPA

EPB = 55

X = 90(EPC) - EPB

X = 90 - 55

X = 35

OR easy way

DB is a straight line so angels on it add up to 180

EPB = 180 - 125

EPB = 55

X = 90(EPC) - EPB

X = 90 - 55

X = 35

please help 100 pnts brainlist

Answers

Answer:

The principal is $6,000 when i = $14,400, r = 0.08 and t = 30 yr

Step-by-step explanation:

We are given i = prt, where p is the principal, r is the interest rate as a decimal fraction, and t is the time in years.  

We first solve i = prt for p.  To accomplish this, divide both sides by rt, which results in:

 i         p

----- = -----

 rt        1

Here we substitute $14,400 for p, 0.08 for r and 30 for t.  

We get the following expression for p:

       $14,400

p = ----------------- = $6,000

       (0.08)(30)

The principal is $6,000 when i = $14,400, r = 0.08 and t = 30 yr

Answer:

6000

Step-by-step explanation:

14,400= .08 x 30 x p , .08 x 30 = 2.4, so divide 14,400 by 2.4 and you get 6000

The cost to rent a moving truck is a flat fee of $25 plus $0. 60 per mile. The equation c = 25 0. 6m models the cost, c, in dollars for the number of miles, m, traveled in the truck. Identify the independent and dependent variables. The is the independent variable. The is the dependent variable.

Answers

Answer:

Independent variable = m

dependent variable = c

Step-by-step explanation:

c = 25 + 0.6m

where,

m = number of miles

c = total cost of rent

mrs peele has 11 1/4 pounds of cookie dough a batch of cookies requires 2 1/2 of cookie dough how many batchesof cookie dough can mrs peele make

Answers

Answer:

4.5 lbs

Step-by-step explanation:

just divide 11.25 by 2.5

very time Luisa bakes a batch of brownies, she uses 12 cup of chocolate. If she has 32 cup(s) of chocolate remaining, how many batches of brownies can Luisa make? Input your answer as a whole number

Answers

Answer:

4

Step-by-step explanation:

Answer:she can make 4 batches of brownies

Step-by-step explanation:

since she already made a batch of brownie with 1/2 cup and she has 3/2 cups left, that means she can make 3 more

3+1=4

hope this helps

Step-by-step explanation:

Also try searching you question in brainly some of these questions are asked and answered

Celeste wants to have her hair cut and permed and also go to lunch. She knows she will need $68. The perm costs twice as much as her haircut and she needs $5 for lunch .

Answers

Let P=Perm cost
Let H = Haircut cost
Let L = Lunch cost

Perm costs twice as much as haircut so.. P = 2H
L = 5

H + P + L = 68 the total cost is $68

H + 2H + 5 = 68 since P = 2H and L=5

3H + 5 = 68

3H =63

H = 63/3

H = 21

A Haircut is $21
Perm = 2H = 2(21) = $42

Answer:

42 dollars

Step-by-step explanation:

2h+h+5=68

3h+5=68

3h=63 divided by 3

21*2=$42

m-(-584)=866 simplified

Answers

Answer:

282 thats what i got

Step-by-step explanation:

Answer:

m = 282

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

m + 584 = 866

Step 2: Subtract 584 from both sides.

m + 584 (−584) = 866 (−584)

m = 282

In which quadrant is the number –14 – 5i located on the complex plane?
I
II
III
IV
In which quadrant is the number –14 – 5i located on the complex plane? I II III IV

Answers

Answer:

III

Step-by-step explanation:

go 14 left and 5 down, and you're in the third quadrant

Answer:

III (Third quadrant)

Step-by-step explanation:

Okay, in terms of complex numbers, the x axis is the imaginary scale while the y axis is the real scale. And this works just like a normal x and y axis! We can break down -14-5i into -5i and -14, and -5i is the imaginary number on the x axis, so we move five units to the left from the origin. -14 is the real number, so we then move down 14 units, and we end up with a coordinate that is in the III, or third, quadrant.  Hope this helps! :)

I will give brainliest

Answers

Answer:

His average monthly payment is $730.83

Step-by-step explanation:

700+650+750+760+785+880+700+725+700+750+720+650=8,770

8,770/12 = 730.83

Make x the subject of the formula
dx - t = 8

Answers

Answer:

x = (8+t)/d

Step-by-step explanation:

Since you want to make x the subject of the formula, you would want it along. so you should move the t to the other side, which will get you dx = 8+t, then you will have to divide both sides by d to get the x along, and in this case, you will get x = (8+t)/d

The given formula can be written as x = (8 + t)/d.

What is a linear equation?

A linear equation in two variable has the general form as y = ax + by + c, where a, b and c are integers and a, b ≠ 0.

It can be represented as a straight line on a graph.

The given formula is as below,

dx - t = 8

Since, it is a linear equation with variable x. It can be rewritten as follows,

dx - t = 8

=> dx = 8 + t

=> x = (8 + t)/d

Hence, by making x as the subject the given formula becomes as x = (8 + t)/d.

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A student solved a system of equations by elimination. The answer is not correct. Describe the error in the solution.

Original Problem:

3x−2y=8

x+y=2

Student Work:

3x−2y=8

2x+2y=2

5x=10

x=2

Answers

The student went from x+y = 2 to 2x+2y = 2, which is not correct. They multiplied the left side by 2, but forgot about the right hand side.

They should have gone from x+y = 2 to 2x+2y = 4 after multiplying both sides by 2.

So they should have this new equivalent system

[tex]\begin{cases}3x-2y = 8\\2x+2y = 4\end{cases}[/tex]

Add straight down and we end up with the new equation 5x = 12 which solves to x = 12/5 = 2.4

Use that x value to solve for y. You should get y = -2/5 = -0.4

Tom is three years older than his brother Tim. The sum of their ages is 79 How old will Tim be in five years?​

Answers

Answer:

Tom is 43yo and Tim is 36

Tim will be 41 in 5 years.

Step-by-step explanation:

193 / 240
what will be the percentage for this​

Answers

Answer:

84%

Step-by-step explanation:

To find a percentage, just divide the first number by the second.

[tex]\frac{193}{240}=0.80417[/tex]

So 193 is about 80% of 240.

If you were to do it in the other order:

[tex]\frac{240}{193} =1.24352[/tex]

240 is 124% of 193.

It will be 80.4 %

193 / 240 = 0.80416666 x 100 = 80.4

Carlos is digging a pond in his backyard as shown. The area of the
rectangular backyard is 6x + 14x - 12 square yards. The circular pond will
cover an area of 3x? - 4x + 5 square yards. Which expression represents the
area of the gray region, the area of the land remaining in the backyard?


Please answer!!!!

Answers

The expression that represents the area of the gray region, the area of the land remaining in the backyard is 3x²+10x-17 square yards. The correct option is B.

The area of the gray region is the area of the rectangular backyard minus the area of the circular pond.

The area of the rectangular backyard is given as 6x+14x-12 square yards, which simplifies to 20x-12 square yards.

The area of the circular pond is given as 3x²-4x+5 square yards.

So, the area of the gray region is:

(20x-12) - (3x²-4x+5)

= 20x-12 - 3x²+4x-5

= 3x²+10x-17

Therefore, the expression that represents the area of the gray region, the area of the land remaining in the backyard is 3x²+10x-17 square yards.

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If A={s, t, a, r} and B={m, a, t, h}, find A ∩ B.

Answers

A ∩ B = { t,a }

This is because it is asked to find the common elements present in both sets.

We need to write only the same elements present in both sets.

Therefore, A ∩ B = { t,a } is the answer.

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Answered by Benjemin ✍️

write any four means by which chemical action may be induced​

Answers

Answer:

See below

Step-by-step explanation:

1.  Addition of the second reagent when the reaction is spontaneous (It will proceed on its own with no additional stimulus).

2.  Addition or subtraction of energy (heat, light, electricity, etc) for endothermic and exothermic reactions

3.  Addition of a reaction site (catalyst)

4.  I can't think of a fourth, but would suggest that #2 be broken into individual categories:

 a.  Addition of heat,

 b.  Exposure to light,

 c.  Addition of electrons (batteries or electrical power), and

 d.  Removal of energy for exothermic reactions

Malachi is shopping for toothbrushes. He can buy a package of 2 for $3.48 or a package of 4 for $6.60. Which is a better buy?
Group of answer choices

The package of 4 is a better buy.

The package of 2 is a better buy.

They are the same.

Answers

Well if we multiply 3.48 times two which would make 4 toothbrushes it would be 6.96. So this means if we wanted a better deal on more toothbrushes. The answer would be the package of 4
3.48x2= 6.96. Therefore if you bought the pack of 4 toothbrushes it would be a better deal bc you can get the same amount of toothbrushes for less since the 4 pack is 6.60 =)
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