You deposit $6000 in an account earning 8% interest compounded monthly. How much will you have in the account in 15 years?

Answers

Answer 1

Answer:

13,200

Step-by-step explanation:

6000/100=60

60x8=480

480x15=7,200

6,000+7,200=13,200

Answer 2

If the initial amount is $6000 , rate of interest 8% then after 15 years the amount willbe $19957.218.

What is compound interest?

Compound interest is the interest calculated on the principal and the aggregate interest. It may be copounded annually,semi annually, monthly, bimonthly,etc.

How to calculate interest?

We have been given that the deposit is $6000,rate is 8% which is compounded monthly.

So effective rate of interest will be 8/1200=0.0067.

n will be 15*12=180

The sum after 15 years=6000[tex](1+0.0067)^{180}[/tex]

S=6000[tex](1+0.0067)^{180}[/tex]

Take log both sides.

log S=log 6000[tex](1+0.0067)^{180}[/tex]

log S=log 6000+log [tex](1+0.0067)^{180}[/tex]

log S=log 6000+180 log (1.0067)

log S=3.7781+180*0.0029

log S=3.7781+0.522

log S=4.3001

S=AL (4.3001)

S=19957.218

Hence if the initial amount is $6000 , rate of interest 8% then after 15 years the amount willbe $19957.218.

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Related Questions

(2,1),(-3,1) how do you solve this I’m looking for the slope I also have to show work

Answers

Answer: 0

Step-by-step explanation:

To find the slope, you would need to use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].

[tex]m=\frac{1-1}{-3-2} =\frac{0}{-5} =0[/tex]

The slope is 0, meaning the line is horizontal.

How do you solve this math problem?

5 = 12 + 4

Answers

It’s called a “false equation” bc their is no way to solve it. 16 does NOT equal 5.
you add 12 to 4 to get 16 and then you discover that this is not an equation because the left and right side of the equals sign are not the same

Which charts or graphs always use axes both labeled with quantitative values and show individual points of data, meaning that each point matches with one value on the x-axis and one value on the y-axis? Check all that apply.
histograms
scatterplots
line graphs
pie graphs
bar graphs
frequency distributions

Answers

The correct choices would be scatter plots, line graphs, bar graphs option second, third, and fifth are correct.

What is scatter plot?

Scatter plots are graphs that represent individual points of data and are labeled with quantitative values on both the co-ordinate axes, meaning that there is only one projection on the x-axis and one projection on the y-axis for each point.

We have:

The chart or graph always use axes both labeled with quantitative values and show individual points of data.

Each point matches with one value on the x-axis and one value on the y-axis.

The chart or graph would be scatter plots, line graphs, bar graphs.

Thus, the correct choices would be scatter plots, line graphs, bar graphs.

Learn more about the scatter plot here:

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Answer:I belive it is b and c

Step-by-step explanation:


Express in algebraic terms: five less than four times a number.

Answers

Answer: 4n-5

n= Number

What is the slope of the equation: x = -2

Answers

Answer:

undefined

Step-by-step explanation

it is a vertical line and has no defined slope

this is for you Keaira

Answers

Answer:

C

Step-by-step explanation:

The answer is “c” if I’m reading right

Choose Yes or No to tell if the digit in the ones place is 110 the value of the digit in the tens place.
4,099
Choose...


4,110
Choose...


5,909
Choose...


5,011
Choose...

Answers

Answer:

No, no, no, no

Step-by-step explanation:

What is the domain of the function y=3 sqt x-1

Answers

Answer:

[1,∞) - All real numbers greater than or equal to 1

Step-by-step explanation:

The answer is [tex]x\geq 1[/tex] or 1, ∞

Find the distance between the points (4,10) and (0,0) the answer must be a whole number

Answers

Answer:

10.77

Step-by-step explanation:

√(4-0)²+(10-0)²

√4²+10²

√16+100

√116

10.77

Answer:

11

Step-by-step explanation:

For this problem, we simply need to apply the distance formula:

distance = sqrt[ (y2 - y1)^2 + (x2 - x1) ]

distance = sqrt[ (10 - 0)^2 + (4 - 0)^2 ]

distance = sqrt[ (10)^2 + (4)^2 ]

distance = sqrt[ 100 + 16]

distance = sqrt [ 116 ]

distance ~= 10.77

The approximate distance rounded to a whole number is 11.

Cheers.

Question: 0.4p + 1.7 < 3.3

Answers

Answer:

p < 4

Step-by-step explanation:

We are given 0.4p + 1.7 < 3.3.

We solve it like a normal equation by isolating the variable p. Subtract 1.7 from both sides:

0.4p + 1.7 - 1.7 < 3.3 - 1.7

0.4p < 1.6

Divide both sides by 0.4:

p < 1.6/0.4

p < 4

Thus, our possible solutions are p < 4.

~ an aesthetics lover

What is 5.6666 as a fraction

Answers

Answer : 56666/10000



Step-by-step

5.6666 = 5.6666/1 = 56.666/10 = 566.66/100 = 5666.6/1000 = 56666/10000

How much can 2 go into 80

Answers

Answer:

40

Step-by-step explanation:

80/2= 40

How do I solve this? Please show your work.

Answers

Answer:

24 cm²

Step-by-step explanation:

Volume of a prism is equal to the area of the base times the height of the prism.

V = Ah

The volume is 120 cm³, and the height is 5 cm.  Therefore, the area of the base is:

120 cm³ = A (5 cm)

A = 24 cm²

What is the value of -3/4 ÷ (-3 1/4)

Answers

Nothing because itz nothing

Answer:

1

Step-by-step explanation:

-3/4 \  - 3 1\4  = 1

Please Help!!! 10 Points! Brainliest Answer

Answers

The answer is b.) 120 degrees

Answer:

120 degrees

Step-by-step explanation:

It says ABC is similar to MNO, though the shape is smaller, the angle is the same. So the measure of N is 120 degrees

Hope this helps :)

Help me with this pls

Answers

Answer:

x=55, and y=62.5

Step-by-step explanation:

The reason why x=55 is because x and the angle 125 degrees form a linear pair (180 degrees) Hence,

x+125=180

=> x=180-125

=> x=55

Now coming to y, As we see y and 125 do not form a linear pair, so we know that x=the top angle of the triangle in which angle y is there. And with the information we also find that the triangle in which y is present is an isosceles triangle, so the other 2 angle  than the top angle are equal, which are y and another angle which is also y as they are the same degrees. Hence, we know x=55, then,

55+2y=180(As the angles in a triangle sum up to 180 degrees)  

=> 2y=180-55

=> 2y=125

=> y=125/2

=> y=62.5

Hope my answer helps, Thank you!

If 3x = 27, then x =

Answers

Answer:

x = 9

Step-by-step explanation:

3x = 27

3/3x = 27/3

x = 9

Nate withdraws $40 from his checking account each dayWrite and solve a multiplication equation to find how long it will take him to withdraw $680

Answers

x = # of days

$40x = $680

Divide each side by $40

x = 17 days

40x=680 680/40=17 so x=17

EASY 13 POINTS!!!!!!!

Answers

Answer:

42

Step-by-step explanation:

Graph all the points and then measure their lengths. Use Pythagorean Theorem for slanted sides. Picture explains everything. Sorry if my graph is a little messy, but you get the idea.

Simplify x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2. Write in simplified form, giving reasons. Someone help please?

Answers

easiest thing to do is combine like terms. There are 9 2's, which means 9(2) which equals 18. Now for the X's. There are 9 X's meaning (9)x which is 9x. This all makes up

18+9x

hope this helps

Answer:

9x +18

Step-by-step explanation:

Use elimination to solve and match each system of equations to the correct solution.
2x-9y=-51
2x-3y=-9

Answers

Answer:

2x-9y=-51

2x-3y=-9

subtract question ii from i we get

-6y = -42

y =7

put value of y in 1

2x - 63 = -51

2x= 8

x=4

Maya has a smart phone data plan that cost $50 per month that includes 2GB of data,but will charge an extra $15 per GB over the limit?how much would kaya have to pay in a month where she used ent over by x GB

Answers

There are two conditions :

1) If data consumed is less than or equal to 2 GB.

2) if data consumed is more than 2 GB.

Change in 1st condition is constant i.e $50.

Now, charge in 2nd condition is given by :

[tex]C=15x+50[/tex]

So, money she have to pay in a month where she used ent over by x GB is :

[tex]C(x) = \$50\ , \ 0 \leq x \leq 2\\or\\C(x ) = \$\ (50+15x )\ ,\ x \geq 3[/tex]

Hence, this is the required solution.

HELP PLEASE :) 80 POINTS
In the following equations, let x =-3 and y = 2/3. Determine whether the following equations are true or false, or neither true or false.
A. xy = -2
B. x + 3y = -1
C. x + z = 4
D. 9y = -2x
E. y/x = -2
F. -2/x / y = -1

Answers

xy = -2

(-3)(2/3) = -2

-2 = -2 TRUE

x + 3y = -1

-3 + 3(2/3) = -1

-3 + 2 = -1

-1 = -1 TRUE

x + z = 4

-3 + z = 4

z = 7 NEITHER

9y = -2x

9(2/3) = -2(-3)

6 = 6 TRUE

y/x = -2

(2/3)/(-3) = -2

-0.22... = -2 FALSE

-2/x / y = -1

-2/-3 / 2/3 = -1

2/3 / 2/3 = -1

1 = -1 FALSE

Best of Luck!

Answer:

A. xy = -2 - true

B. x + 3y = -1 - false doesn't equal -1 it equals -2

C. x + z = 4 - neither because z

D. 9y = -2x - false because it equals  -6

E. y/x = -2 - false because it equals -.2222222

F. -2/x / y = -1  - false it equals positive 1

find the value of a2+y when x=4 and y=3

Answers

Answer:

If you mean x2+y, then the answer would be 11.

if you meant x2+y ^^

4(2) + 3

8 + 3

= 11

Pls help stuck on it

Answers

x+16 should be equal to 2x+17+6.If you do the algebra you get x is equal to negative 7 so the answer is C

C. x = -7

2x + 23 = x + 16

x = -7

Please write only vertical compression or stretch

Answers

Answer:

No te puedo ayudar vbbnn

Slope between (2,5) (4,11)

Answers

Step-by-step explanation:

[tex]slope = \frac{11 - 5}{4 - 2} \\ = \frac{6}{2} \\ = 3[/tex]


How does the absolute value take away negative signs

Answers

Step-by-step explanation:

the absolute value is the numbers UNIT DISTANCE from the origin (0,0). since you can't have negative distance, the result is always positive. Can be solved by counting distance on a graph Not by the actual numbers on the line (-1,-2,-3, etc) but by counting the "boxes" from a point to the origin. hope this makes sense!

Answer:

the absolute value of negative number makes it a positive number

Does anyone know what [-2/3 * (-5/7)] * (9/4) is?

Answers

Kkkkoaoaossoossospsjiioiiiiii

8. Tonya is cutting square frame mats to frame several square photographs. She can determine the area of the mat from the function m{x) = x2 + 6x + 9, where x is the length in inches of the side of the photograph and m(x) represents the area of the mat. Find the area of the mot given a photograph with a side length of 4.6 inches. in (DO NOT INCLUDE SPACES IN YOUR ANSWER​

Answers

Answer:

57.76 in²

Step-by-step explanation:

Plug in 4.6 as x in the equation and solve:

m(x) = x² + 6x + 9

m(4.6) = (4.6)² + 6(4.6) + 9

m(4.6) = 57.76

So, the area of the mat is 57.76 in²

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