Jimmy invests $2500 in an account with a 5% interest rate, making no other deposits or withdrawals. What will Jimmy’s account balance be after 8 years if the interest is compounded 6 times each year?
URGENT PLEASE

Answers

Answer 1

Answer:

We conclude that the total amount accrued, principal plus interest,  from compound interest on an original principal of  $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.

Step-by-step explanation:

Given

Principle P = $2500

Interest rate r = 5% = 0.05

Time period t = 8 years

To determine

Accrue Amount A = ?

Using the compound interest equation

[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]

where:

A represents the Accrue Amount

P represents the Principal Amount

r represents the interest rate

t represents the time period in years

n represents the number of compounding periods per unit t

Important tip:

Given that the interest is compounded 6 times each year, therefore, the value of n = 6.

now substituting P = 2500, r = 0.05, t = 8 and n = 6 in the equation

[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]

[tex]A=2500\left(1+\frac{0.05}{6}\right)^{\left(6\right)\left(8\right)}[/tex]

[tex]\:A=2500\left(1+\frac{0.05}{6}\right)^{48}[/tex]

[tex]A=2500\times 1.48935[/tex]      ∵  [tex]\left(1+\frac{0.05}{6}\right)^{48\:\:}=1.48935[/tex]

[tex]A=\:3723.38[/tex] $

Therefore, we conclude that the total amount accrued, principal plus interest,  from compound interest on an original principal of  $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.


Related Questions

The solution of –2x + 13 < 9 is ______

Answers

Answer:

-2x + 13 < 9

or, -2x < 9-13

or, -2x < -4

or, x > -4/-2

or, x > 2

Hope you got your answer.

Answer:

x>2

Step-by-step explanation:

-2x<9-13

-2x<-4

x>2

x>2

Omh pls help me 6thh grade math it's do in 10 mins

Answers

Answer:

1. 42

2. d cuz it has nothing-

3. A

all im saying cuz ik u can do this

Answer:

number 1 is 52% i am  goin through them

Step-by-step explanation:

6 times the difference of d and 5

Answers

Answer:

6(d - 5)

Step-by-step explanation:

Answer:

d-30

Step-by-step explanation

6*5 the do d- that which is d-30

How many more people like to swim than hike?
Show how you added or subtracted to find the answer

Answers

2 more people like to swim than hike because 4 (the people who swim) minus 2 (the people who hike) is 2 people

The number of people who likes to swim than hike is given by the equation A = 2 people

What is an Equation?

Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.

It demonstrates that the expressions on the left and right sides are connected in the same way.

An equation has components like as coefficients, variables, operators, constants, terms, expressions, and the equal to sign. The "=" sign and terms on both sides are required when generating an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the number of people who likes to swim be s= 4 people

Let the number of people who likes to hike be h = 2 people

Let the number of people who likes to bike be b = 3 people

Now , the equation will be

The number of people who likes to swim than hike A = number of people who likes to swim - number of people who likes to hike

The number of people who likes to swim than hike A = s - h

The number of people who likes to swim than hike A = 4 - 2

The number of people who likes to swim than hike A = 2 people

Hence , the number of people who likes to swim than hike is A = 2 people

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

please help me I will mark your brainiest !!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The right answer is D, "n" can be any value greater than 2

Step-by-step explanation:

If variable "n" was any value less than or equal to 2, then the inequality would be less than or equal to 16, which isn't valid. So "n" has to be any value greater than 2.

Lita has 4 bananas and Liza has 8 bananas. They give some bananas to their
friends. What is the biggest number of bananas each of their friends get if each of
them receive the same number of bananas?
1. What is asked for in the problem?
2. How will you solve the problem?
3.What is the answer to the problem?
Eggs are sold in trays of 4 and 6. What is the smallest number of eggs that can
be sold using the trays?
4.How will you solve the problem?
5.What is the answer to the problem?




pa help po please kailangan na po kase e ​

Answers

Answer:

hi kpop fan

Step-by-step explanation:

she is blackpink jisoo in your profile pick right

Answer:

they will receive 4 banana

help...........................

Answers

Answer:

Could you please repeat the question?

Answer:

Answer:

Step-by-step explanation:

What help!

Thanks for free points!

Have a nice day!

the sum of the number and 5 is 12

Answers

Answer:7

Step-by-step explanation: x+5=12 solve for x = 7

Answer:

"a number" = 7

Step-by-step explanation:

let "a number" = x.

x + 5 = 12

Isolate the variable x. Note the equal sign, what you do to one side, you do to  the other. Subtract 5 from both sides.

x + 5 (-5) = 12 (-5)

x = 12 - 5

x = 7

7 is your answer.

~

HELP please can you answer this please

Answers

Answer:

1. 2x² - 8x - 7

2. x³+ x + 30

Step-by-step explanation:

[tex]2 {x}^{2} - 9x - 2 +x - 5[/tex]

[tex]2 {x}^{2} - 8x - 7[/tex]

2x² has no other like terms to add or substract with so it stays as is.

(-9x) + x = -8

(-2) - 5 = -7

or

(-2) - (-5) = 3

Watch out for the ones on top. I'm a bit confused about them but those ones are your possible options.

//

[tex] {x}^{3} + 27 + x + 3[/tex]

[tex] {x}^{3} + x + 30[/tex]

x³ stays as is and so does x.

27 + 3 = 30

Someone please explain how to get the answers

Answers

Answer:

[tex] m\angle A =40\degree [/tex]

[tex] m\angle D =40\degree [/tex]

Step-by-step explanation:

By inscribed angle theorem:

[tex] m\angle A = \frac{1}{2} \times 80\degree [/tex]

[tex] m\angle A =40\degree [/tex]

[tex] m\angle D= \frac{1}{2} \times 80\degree [/tex]

[tex] m\angle D =40\degree [/tex]

que es la regla de los signos​

Answers

Answer:

La regla de los signos son los positivos y los negativos.Pero otra cosa son cuales son las raglas de los signos.

Write the expression in expanded form (1 + 3b)(6)

Answers

Answer:

Answer Expert Verified

4.0/5

170

nikitasingh79

Genius

15.5K answers

114.1M people helped

Identity:

An identity is an equality which is true for all values of a variable in the equality.

(a + b)³ = a³+ b³+ 3ab(a + b)

In an identity the right hand side expression is called expanded form of the left hand side expression.

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

Solution:

(i) (2x + 1)³

Using identity

(a + b)³ = a³+ b³+ 3ab(a + b)

(2x + 1)³

= (2x)³ + 1³ + (3×2x×1)(2x + 1)

= 8x³+ 1 + 6x(2x + 1)

= 8x³ + 1 + 12x² + 6x

(ii) (2a – 3b)³

Using identity,

(a – b)³ = a³–b³ – 3ab(a – b)

(2a – 3b)³ = (2a)³– (3b)³ – (3×2a×3b)(2a – 3b)

=8a³–27b³–18ab(2a –3b)

= 8a³–27b³–36a²b + 54ab²

(iii) [3x/2  + 1]³

Using identity,

(a + b)³ = a³+ b³+ 3ab(a + b)

[3x/2 +1]³

=(3x/2)³+1³+ (3×(3x/2)×1)(3x/2+ 1)

=27x³/8+1+9/2x×(3x/2+1)

= 27x³/8 + 1 + 27/4 x² + 9/2x

= (27/8)x³ + (27/4) x² + 9/2 x + 1

(iv) [x–2/3 y]³

Using identity,

(a - b)³=a³-b³-3ab(a-b)

(X+ 2/3y)³

= (x)³–(2/3 y)³– (3×x×2/3 y)(x – 2/3 y)

= x³– 8y³/27–2xy(x – 2/3 y)

= x³– (8/27)y³–2x²y+ 4/3xy²

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

Hope this will help you....

Step-by-step explanation:

Identify the independent and dependent variables in the equation y = 3x + 5
Group of answer choices

y is independent and x is dependent

x is independent and y is dependent

both x and y are independent

both x and y are dependent

Answers

Answer:

A system of equations consists of two or more equations with two or more variables, where any solution must satisfy all of the equations in the system at the same time.

Each Parking Spot is 8 feet Wide A parking lot has 24 parking spots side by side What is the width measured in yards of the parking spots

Answers

Step-by-step explanation:

.................................

Mr. Alvarez makes a walkway of 3 cement slabs.He uses 14 cubic feet of cement to make the walkway.Each square slab has a volume of 4 cubic feet

Answers

Answer:

I suppose that you want to see how we can find the volume of each individual slab with the given information, the procedure is as follows.

The walkway has 3 cement slabs,

He uses a total amount of 14 cubic feet to make the complete walkway.

This means that the 3 cement slabs together have a total volume of 14 ft^3

To find the volume of each slab, we need to find the quotient between the total volume and the total number of slabs, then we get:

Volume of each slab = (14 ft^3)/3 = 4 ft^3

This means that each cement slab has a volume of 4 ft^3.

Answer:

6 ft^3

Step-by-step explanation:

Can anyone please help me this these questions:

1. $.50 is what percent of $2.00
2. $.02 is what percent of $2.00
3. $2.00 is what percent of two dollars

Answers

Answer:

1.

[tex]25\%[/tex]

2.

[tex].04\%[/tex]

3.

[tex]100\%[/tex]

Answer:

1 is 25% because .50 going into 2 00 4 times or 35%

2 is 10% because 02. is 10% of 2.00

4 is 100% because its all of the 2.00

Anybody good in geometry?

Answers

Answer:

A) <6, 2>

Step-by-step explanation:

Moves along x-axis to the right six units. Moves along y-axis upward two units.

Answer:

which vector translated the triangle to its image?

A. < 6 , 2 >

math is so hard man but can someone help me

Answers

Answer:

a

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

No, because

the first function if you further calculate you have

y= 3(x +5) is y = 3x+15 ; since you have to distribute

the second function if you have to translate is y=3x+5 because if you read it out loud the equation now you will say y equals 3 times x plus 5 like was given

NOTE: Angles not necessarily drawn to scale.

Answers

Answer:

x = 40°

Step-by-step explanation:

angle A is a vertical angle with 60 so it's 60

60+80 = 140

180-140 = 40

Answer:

[tex]\boxed{\tt x=40^{\circ}}[/tex]

Step-by-step explanation:

∠x, ∠BAC, and ∠CAF form a straight line.

*Sum of angles that are formed on a straight line is equal to 180°.*

[tex]\tt \angle x+\angle BAC+\angle CAF=180^{\circ}[/tex]

[tex]\tt x+\angle BAC+\angle CAF=180^{\circ}[/tex]

[tex]\tt x+80^{\circ}+\angle 60^{\circ}=180^{\circ}[/tex]

Add, 80°+60°=140°

[tex]\tt x+140^{\circ}=180^{\circ}[/tex]

Subtract 140 from both sides:

[tex]\tt x+140^{\circ}-140^{\circ}=180^{\circ}-140^{\circ}[/tex]

[tex]\tt x=40^{\circ}[/tex]

_____________________________

What is an equation of the line that passes through the points (4,-4) and (-4,-4)

Answers

Answer:

Step-by-step explanation:

Use the formula x-x1/x1-x2 = y-y1/y1-y2

Another math problem

Answers

Answer:

sorry no se la respuesta

que es una organizacion

por favor es urgente​

Answers

Step-by-step explanation:

Las organizaciones son estructuras administrativas y sistemas administrativos creadas para lograr metas u objetivos con el apoyo de las propias personas, o con apoyo del talento humano o de otras características similares.

Which terms can be combined in the expression below? Select three options.


PLEASE HELP 50 POINTS
StartFraction 5 over 6 EndFraction a minus 2 b minus 16.3 + StartFraction b over 12 EndFraction + c minus 0.9 b
StartFraction 5 over 6 EndFraction a
–2b
–16.3
StartFraction b over 12 EndFraction
–0.9b

Answers

Answer:

This doesnt make sense

Step-by-step explanation:

Solve for x please help!!

Answers

14x-15=180-139
14x-15=41
14x=56
x=4

Answer:

x = 4

Step-by-step explanation:

(14x - 15)° + 139° = 180°

14x - 15 + 139 = 180

14x + 124 = 180

14x = 56

x = 4

solve for x in : 5^{2x-1} =12^{x}

Answers

Answer:

x=2.192785

Step-by-step explanation:

52x−1=12x

log(52x−1)=log(12x)

(2x−1)*(log(5))=x*(log(12))

2x−1=(

log(12)

log(5)

)*(x)

2x−1=1.543959*x

2x−1=1.543959x

2x−1−1.543959x=1.543959x−1.543959x 1.543959x

0.456041x−1=0

0.456041x−1+1=0+1

0.456041x=1

0.456041x

0.456041

=

1

0.456041

0.456041)

x=2.192785

Answer:

x = 2.19

Step-by-step explanation:

Given that,

An equation, [tex]5^{2x-1} =12^{x}[/tex]

To find,

The value of x.

Solution,

We have,

[tex]5^{2x-1} =12^{x}[/tex]

Taking log both sides,

[tex]\text{log}(5^{2x-1})=\text{log}(12^x)[/tex]

We know that,

[tex]\text{log}\ a^n=n\ \text{log}a[/tex]

So,

[tex](2x-1)\text{log}5=x\ \text{log}12[/tex]

So,

[tex](2x-1)0.6989=1.0791x\\\\1.3978x-0.6989=1.0791x\\\\1.3978x-1.0791x=0.6989\\\\0.3187x=0.6989\\\\x=\dfrac{0.6989}{0.3187}\\\\x=2.19[/tex]

So, the value of x is equal to [tex]2.19[/tex].

Reference,

https://brainly.com/question/14968632

Which expression is equivalent to 3 (x – 9) + 6?
A. 3x - 3
B. 3x - 21
C. 15 - 3x
D. 33 - 3x

Answers

It’s B, the answer is 3x-21

Translate X(2,3) Y(0,0) Z(4,4) 2 units right and 3 units up

Answers

Answer:

X(4, 6) Y(2, 3) Z(6, 7)

Step-by-step explanation:

If you want to translate something right on a number line, then you are essentially adding to it. Thus you would just add 2 to each of the x values of the coordinates. The same applies with translating something up, all that really means is that you are adding to each of the y values so all you have to do is add 3 to each of the y values and you get your answer.

Answer:

X:(4,6), Y:(2,3), Z:(6,7)

Step-by-step explanation:

2 units right implies a change on the x-axis, meaning you add 2 units to the x of the coordinate pair (x, y). 3 units up implies a change in Y, you apply the same rule and add 3 to the Y of the pair.

2 units right (add 2 to x pair coordinate)

X: (2,3) --> (4,3)

Y: (0,0) --> (2,0)

Z:(4,4) --> (6,4)

and 3 units up (add 3 to y pair coordinate)

X: (4,3) --> (4,6)

Y: (2,0) --> (2,3)

Z: (6,4) --> (6,7)

what is the slope intercept form​

Answers

y=9/4 x +5 sjhsnsjajjdj

Answer:

5.8

Step-by-step explanation:

5.8 is the correction

Which theorem proves these triangles are similiar for brainliest

Answers

[tex]{\huge{\pink{\mathcal{AA\:postulate࿐❤}}}} [/tex]

A meteorologist found that the rainfall in Campbell during the first half of the month was 3/10 of an inch. At the end of the month, he found that the total rainfall for the month was 1/2 of an inch. How much did it rain in the second half of the month?

Answers

Answer: 1/5

Step-by-step explanation:

Let the amount of rainfall in the second half of the month be represented by x.

From the information given in the question, the equation formed will be:

3/10 + x = 1/2

x = 1/2 - 3/10

x = 5/10 - 3/10

x = 2/10

x = 1/5

Therefore, the answer is 1/5

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The Strange Case of Dr. Jekyll and Mr. Hydeby Robert Louis StevensonPart 11. Mr. Utterson the lawyer was a man of a rugged countenance, that was never lighted by a smile; cold, scanty and embarrassed in discourse; backward in sentiment; lean, long, dusty, dreary, and yet somehow lovable. At friendly meetings, and when the wine was to his taste, something eminently human beaconed from his eye; something indeed which never found its way into his talk, but which spoke not only in these silent symbols of the after-dinner face, but more often and loudly in the acts of his life. He was austere with himself; drank gin when he was alone, to mortify a taste for vintages; and though he enjoyed the theatre, had not crossed the doors of one for twenty years. But he had an approved tolerance for others; sometimes wondering, almost with envy, at the high pressure of spirits involved in their misdeeds; and in any extremity inclined to help rather than to reprove.2. 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