You deposit $5000 in an account earning 8% interest compounded monthly. How much will you have in the account in 5 years?

Answers

Answer 1

Answer:

A = $ 7,449.23

A = P + I where

P (principal) = $ 5,000.00

I (interest) = $ 2,449.23

Step-by-step explanation:

Compound Interest Equation

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

Where:

A = Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

R = Annual Nominal Interest Rate in percent

r = Annual Nominal Interest Rate as a decimal

r = R/100

t = Time Involved in years, 0.5 years is calculated as 6 months, etc.

n = number of compounding periods per unit t; at the END of each period

Compound Interest Formulas and Calculations:

Calculate Accrued Amount (Principal + Interest)

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

Calculate Principal Amount, solve for P

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

Calculate rate of interest in decimal, solve for r

r = n[(A/P)(^1/nt) - 1]

Calculate rate of interest in percent

R = r * 100

Calculate time, solve for t

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

Formulas where n = 1 (compounded once per period or unit t)

Calculate Accrued Amount (Principal + Interest)

A = P(1 + r)^t

Calculate Principal Amount, solve for P

P = A / (1 + r)^t

Calculate rate of interest in decimal, solve for r

r = (A/P)1/t - 1

Calculate rate of interest in percent

R = r * 100

Calculate time, solve for t

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

Continuous Compounding Formulas (n → ∞)

Calculate Accrued Amount (Principal + Interest)

A = Pe^rt

Calculate Principal Amount, solve for P

P = A / ert

Calculate rate of interest in decimal, solve for r

r = ln(A/P) / t

Calculate rate of interest in percent

R = r * 100

Calculate time, solve for t

t = ln(A/P) / r


Related Questions

PLEASE HELP CORRECT ANSWER GETS BRAINLIEST !

Answers

Answer:

2nd Option

Step-by-step explanation:

Need help will mark brainliest

Answers

0Answer:

1) Exterior Angle Therorem

2) Isosceles Triangle Theorem

Step-by-step explanation:

use the numbers 1,3,4,6 exactly once with any basic math operation(multiplication,division,addition and subtraction) to total 24​

Answers

Step-by-step explanation:

It is 4*6! We have to play with these numbers (1,3, and 4) to create 4, or we have to play with these numbers (1,3, and 6) to create 6.

If you divide 6 by 1/4, you will get 24.

If you divide 4 by 1/6, you will get 24.

How to create 1/4 from 1,3, and 4?

How to create 1/6 from 1,3, and 6?

Creating 1/4 from 1,3, and 4 is possible by doing this: 1–3/4, it is =1/4!

So, the answer is 6/[1–3/4]=24.

Among the given numbers you can see that 6*4 gives you 24 but you have to use 1 and 3 .

You can't multiply 1 and 3 in numerator because you won't get 24, and you can't even divide it by 1,3 .

So only way is to get 1 in the denominator which can be obtained by

6/(1–(3/4)

which simplifies to 6/(1/4) = 24

help i’m timed pllzzzzz

Answers

Answer:

[tex]a = p*q\\b = (p*s)+(q*r)\\c = r*s[/tex]

Step-by-step explanation:

The standard form of trinomial is given as:

[tex]ax^2+bx+c[/tex]

And the factored form is:

[tex](px+r)(qx+s)[/tex]

In order to find the values of a,b and c in terms of p,q,r and s we will take the factored form, multiply it and then compare it with the standard form.

So,

[tex](px+r)(qx+s)\\=px(qx+s)+r(qx+s)\\= pqx^2+psx+qrx+rs\\= pqx^2+(ps+qr)x+rs[/tex]

Now comparing it with the standard form of trinomial

We will compare the co-efficients of x^2, x and the constant

By comparing, we get

[tex]a = pq = p*q\\b = ps+qr = (p*s)+(q*r)\\c = rs = r*s[/tex]

Hence,

[tex]a = p*q\\b = (p*s)+(q*r)\\c = r*s[/tex]

Alamo Cola manufactures a soft drink made with 0.25% peach juice concentrate. What is this percent expressed as a fraction
A. 1/4 and 0.25
B. 1/4 and 0.0025
C.1/40 and 0.025
D. 1/400 and 0.0025

Answers

its a because .25x4=1.00

Answer:

B. 1/4 and 0.0025

Step-by-step explanation:

It is possible to get 2 solutions when the system of equations is: (check all that apply)

A system of 2 linear equations in 2 variables
A system of 3 linear equations in 3 variables
A system of the equation of a circle and a linear equation
A system of the equation of a parabola and a linear equation

Answers

Answer:

A system of the equation of a circle and a linear equation

A system of the equation of a parabola and a linear equation

Step-by-step explanation:

Let us verify our answer

A system of the equation of a circle and a linear equation

Let an equation of a circle as [tex]x^2+ y^2 = 1[/tex] ..........(1)

Let a liner equation Y = x ............(2)

substitute (2) in (1)

[tex]x^2 + x^2 = 1\\2x^2 = 1\\[/tex]

[tex]x^2 = \frac{1}{\sqrt{2} } \\x = +\frac{1}{\sqrt{2} } , -\frac{1}{\sqrt{2} }[/tex]  so Y = [tex]+\frac{1}{\sqrt{2} } , -\frac{1}{\sqrt{2} }[/tex]

so the two solution are ( [tex](\frac{1}{\sqrt{2} } ,\frac{1}{\sqrt{2} }) (-\frac{1}{\sqrt{2} }, -\frac{1}{\sqrt{2} }[/tex])

A system of the equation of a parabola and a linear equation

Let equation of Parabola be [tex]y^2 = x[/tex]

and linear equation y = x

substitute

[tex]x^2 = x\\x^2 - x= 0\\x(x-1) = \\x = 0 , 1[/tex]

Y = 0,1

so the two solutions will be (0,0) and (1,1)

(20 POINTS PLEASE HELP)
Find the reciprocal of the expression.
10b/2b+8

See image attatched below for the options given

Answers

Answer:

it the first one cause you adding so it 8b plus 2

87% of 70 do not round

Answers

Answer:

60.9

Step-by-step explanation:

solve for x:x+3.17=12.78

Answers

x=9.61 you subtract 3.17 from 12.78 and get 9.61

Graph the equation.
y-1 = -2(x-2)

Answers

Answer:

y-1 = -2(x-2) graph:

Answer:

Graph is below

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope:

2

y-intercept:

(

0

,

5

)

x

y

0

5

5

2

0

PLS PLS PLS HELP MEEEEE HIGH POINTS PLS ANSWER CORRECTLY I NEEEED U


In parallelogram WXYZ, the shorter sides are half the length of the longer sides.


Parallelogram W X Y Z. The length of sides W X and Z Y are 12 inches. Angle Y is 120 degrees. Angle Y is opposite to Angle W.


Which statements are true? CHECK ALL THAT APPLY.

A. Quadrilateral WXYZ is a rectangle.

B. The quadrilateral has opposite sides that are parallel.

C. The quadrilateral has opposite angles that are congruent.

D. If W X = 12 in., then X Y = 6 in.

E. Side WZ must be 12 inches.

F. mAngle Z = measure of angle X

G. Measure of angle W = 120 degrees

H. Measure of angle Z = 120 degrees

Answers

Answer:

B

E

H

I think this is right

For the given parallelogram following statements are true

B. The quadrilateral has opposite  sides that are parallel

F. Measure of angle Z = Measure of angle X

G. Measure of angle of W =120 degrees

What is parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides

Given,

Shorter sides are half the length of the longer sides. Length of he side WX and ZY are 12 inches. Angle Y is 120 degrees. Angle Y is opposite to angle W

Draw the figure using the the data

Using the figure we can say that

The quadrilateral has opposite  sides that are parallel

Measure of angle Z = Measure of angle X

Measure of angle of W =120 degrees

Hence, the correct options are B,F and G

Learn more about parallelogram here

https://brainly.com/question/1563728

#SPJ2

Will give brainliest if correct.

Answers

Answer:

y=(-9-2x)/3

Step-by-step explanation:

In the picture lines A B and CD are parallel. Find the measures of the following angles. Explain your
reasoning.
1. ZBCD
2. ZECF
3. ZDCF

Answers

1) 38 bc of alternate interior angles
2) 38 bc of corresponding angles
3) 142 bc of supplementary angles and alternate exterior angles

what is the answer for x?

Answers

Answer:

x=5

Step-by-step explanation:

I first subtracted 88 from 180 because we know that 180 is the total degree of the three angles in a trangle. I got 92, then divided that by 2 since there are two angles that are unknown. I got 46, which I can then use to form the equation (9x+1)=46. I subtracted 1 from both sides to get rid of the 1 (since we're finding what x equals to), I then got 9x=45. After that, I divided 9 from both sides and got the answer x=5.

Hope this helped you : )

I need help with this slope problem​

Answers

Answer:

what is it? you did not post the picture

A line has a slope of Negative three-fourths and passes through the point (–5, 4). Which is the equation of the line?
y = negative three-fourths x + one-fourth
y = negative three-fourths x + 4
y = negative three-fourths x minus 2
y = negative three-fourths x minus one-fourth

Answers

The answer is A. y=-3/4x+1/4

The required equation of the line is y = (-3/4)x - 2 which passes through the point (–5, 4). The correct answer would be an option (C).

What is the slope of the line?

The slope of a line is defined as the gradient of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Let the required equation of the line would be as:

y - y₁ = m(x - x₁)

Since the line passes through the point (–5, 4) and slope m = -3/4

So substitute the values in the above equation, and we

y - (-5) = (-3/4)(x - 4)

y + 5 = (-3/4)x -  (-3/4)4

y + 5 = (-3/4)x + 3

y = (-3/4)x + 3 - 5

y = (-3/4)x - 2

Thus, the required equation of the line is y = (-3/4)x - 2.

Learn more about the Slope of the Line here:

brainly.com/question/14511992

#SPJ2

1. Fill in the blank: The value of 8 dimes is ___
% of the value of a dollar.
2. Name a combination of coins that is 130% of the value of a dollar.

Answers

Answer:

1. 80%.

2. 2 quarters, 3 dimes, 4 nickels, 30 pennies. (if you don't use pennies make it 6 dimes.)

Help, Its due in 15 minuets!

Answers

Answer:

All Congruent Angle Pairs

1) ∠1 and ∠3 are congruent **

2) ∠2 and ∠4 are congruent

3) ∠6 and ∠8 are congruent

4) ∠5 and ∠7 are congruent

5) ∠1 and ∠7 are congruent

6) ∠2 and ∠8 are congruent **

7) ∠3 and ∠5 are congruent

8) ∠4 and ∠6 are congruent **

Step-by-step explanation:

1) Vertical pairs

2) Vertical pairs

3) Vertical pairs

4) Vertical pairs

5) Alternate exterior angles

6) Alternate exterior angles

7) Alternate interior angles

8) Alternate interior angles

the pairs are

< 1 and < 3

< 4 and < 5

I think 2 and 8

What is the solution to the equation?

Answers

Answer:

-63

Step-by-step explanation:

Solve by the substitution method.

-3x – 3y = 3

y=-5x – 17

Answers

Answer:

postive 6

Step-by-step explanation:cause negative plus a negative equals a postive

whats 851,708 to the nearest hundred-thousand

Answers

Answer:

900,000

Step-by-step explanation:

because when you round  number from 1-4 you put it down example: 1223

round to nearest thousand it is 1000 but when 5-9 is higher example: 1566 it is 2000

Answer:

900,000

Step-by-step explanation:

Bc The Ten Thousandths place is over 4

Inequality to Verbal
-3 < x < 7
A. The domain is greater than or equal to -3 and less than
or equal to 7.
B. The range is greater than -3 and less than 7.
C. The domain is greater than -3 and less than 7.
D. The range is greater than or equal to -3 and less than or
equal to 7.

Answers

Answer:

C. The domain is greater than -3 and less than 7.

Step-by-step explanation:

Just like the other one

x is domain

< = less than

≤ = less than or equal to

Answer:

c

Step-by-step explanation:

should b. cause most true usagw 'the domain'

good luck

Nate is saving money for the class trip to Chicago. He already has 300$ saved up so far and can save an additional 50$ each month. If the trip costs 850 how many months will it take him to have enough for the trip?

Answers

Answer:

11 months

Step-by-step explanation:

Nate needs $850 total, and he already has $300. So, the money left that he needs is 850-300 which is $550.

Now, he can save $50 each month, and we need to find the amount of months, x, it will take to reach his goal.

He needs $550, to the equation is:

50x=550

We need to isolate x, so we divide both sides by 50.

x=11

It will take Nate 11 months to save for the trip.

Answer:

11 months

Step-by-step explanation:

850-300=550

550÷50=11

( − .3 s − 2 ) + 2 ( 5 − 3.4 s )

Answers

Answer:

−7.1s+8

Step-by-step explanation:

First Distribute

=−0.3s+−2+(2)(5)+(2)(−3.4s)

=−0.3s+−2+10+−6.8s

Combine Like Terms:

=−0.3s+−2+10+−6.8s

=(−0.3s+−6.8s)+(−2+10)

=−7.1s+8

Answer:

7.1

s

+

8Step-by-step explanation:

−7.1s+8

Please please please help John wants to buy a new video game it cost $39.00. He has $14.00 in his piggy
bank. He works for farmer Jones down the street for $5.00 an hour. How many
hours will he need to work before he can buy his new video game? Make and equation

Answers

Answer:

5 hours

Step-by-step explanation:

39 - 14 = 25

5 x 5 = 25

14 + 25 = 39

Answer:

5 hours

Step-by-step explanation:

John needs $39.00, he has $14 now, and He earns $5 a week working. x= how many hours.

Start by setting the equation,

            $39.00= $5x + $14.00

Then solve by

1) subtracting 14 from both sides;

39(-14)= 5x+14(-14), by subtracting 14 on both sides you cancelled out the 14;

39 -14 = 5x  becomes $25= 5x      (39 -14 =25)

2) divide both sides by 5 to get x alone

25 (/5)=5x (/5) which becomes 25/5=x

3) 25/5 is 5

John must work 5 hours to have enough money to buy his video game.

what is 7-3+6+x equal ??

Answers

Answer:10+x

Step-by-step explanation:

X=3-6-7
X=-10

Hope that helps!

In the fraction 7/8 , the Numerator Denominator is 7.

Answers

Answer:

The numerator

Step-by-step explanation:

numerator is the top

denominator is the bottom

HELP PLEASE Can you please give an explication when you answer

The temperature at 4:00 am was -3°C, and the temperature rose 9°C during the morning. What was the temperature by noon?
A. -6°C
B. -12°C
C. 6°C
D. 12°C

Answers

Answer:

C.   6°C

Step-by-step explanation:

-3°C + 9°C = 6°C

Find the slope of the line y = 2x + 3.
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

proper fraction

Step-by-step explanation:

Percentage rate of increase or decrease y = 3500(1.079)

Answers

Answer:

Increase

Step-by-step explanation:

If you multiply the numbers it increases!

Other Questions
what are the terms in the expression 2x-4y+8? A.) 8 B.) 2x and 4yC.) 2x, -4y, and 8D.) 2, 4, and 8 P.S PLS HELP DUE TODAY!!! Question 3 (1 point)Having an STI (sexually transmitted infection) could impact a person's healthphysically, emotionally, mentally and socially.O TrueO False Which best explains why most English citizens began migrating to North America in the 1600s? One of the systems analysts on the project team thought that he did a good job of designing the companys tech support webpage, but his supervisor isnt so sure. His supervisor is concerned that the design is very similar to a page used by the companys major competitor, and she asked him whether he had used any HTML code from that site in his design. Although the analyst didnt copy any of the code, he did examine it in his web browser to see how they handled some design issues. The supervisor asked the analyst to investigate webpage copyright issues and report back to her. In his research, the analyst learned that outright copying would be a copyright violation, but merely viewing other sites to get design ideas would be permissible. What is not so clear is the gray area in the middle. The analyst asked you, as a friend, for your opinion on this question: Even if no actual copying is involved, are there ethical constraints on how far you should go in using the creative work of others? How would you answer? Household incomes are normally distributed with a mean of $47,500 and a standard deviation of $12,500. What is the probability of having incomes of $60,000or more?a) 2.50%O b) 5.0096C) 15.87%od) 7.8096 ______ have trees with cones. A. temperate rainforests B. boreal forests C. tropical rainforests D. temperate deciduous forests Please help me it needs to be done soon do any other planets have moons and if so how are they similar to ours Please Help Me, Answer The Questions and I give you 100 Brainly Points What is the area of this triangle?5cm4cm3cm When you pass a double variable to a method, the method receives ______.a) a copy of the memory addressb) the reference of the variablec) the length of the variabled) a copy of the variablee) the binary memory address What are the characteristics of sound logical reasoning?Select all that apply.based on factexplains how ideas connectcontains emotional appealsbased on opinion PLZ HELP I WILL MARK BRAINLEST The Industrial Revolution spread beyond Great Britain for all of the following reasons except, ________ .a.support from governments to build factoriesb.advancements in communication technologyc.migration of factory workers to Britaind.contributions from wealthy British investors, The following statements as true or false.a. m23 + m25 = 180b. m22 + m26 = 180C. m28 = m_1Which ones are true and false plzzzzz this is urgent 4.3.AP-10Question HelpOn a team, 7 girls and 5 boys scored a total of 91 points. The difference between the number of points scored by the 7 girls and the number of points scored by the5 boys is 21. Each girl scored the same number of points and each boy scored the same number of points. Find the number of points scored by each girl and eachboy Write the fraction 5/8 as a percent and as a decimal. Identify two acts that the British government passed to raise money/taxes: Which type of carbohydrate is the body unable to digest, but is still important for lowering cholesterol, balances glucose levels, and helps prevent overeating. Nate bought a new pair of shoes that were on sale for 25% off. If the shoes were $5 originally, what is the sale price of the shoes?its proportions btw