Suppose you deposit $1000 in an account paying 4% annual interest, compounded continuously. Find the balance after 10 years.

Answers

Answer 1

Answer:

400

Step-by-step explanation:

To find 4% of $1000 you have to multiply them and then divide them by 100.

4 x 1000/100

4,000/100 = 40

Every year, you would get 40 dollars, so for 10 years you multiply 10 x 40.

10 x 40 = 400

Answer 2

The balance after 10 years with an interest rate of 4% and the initial amount of $1000 will be 1480.24

What is compound interest?

Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.

We know that the compound interest is given as

A = P(1 + r)ⁿ

Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.

You deposit $1000 in an account paying 4% annual interest, compounded continuously.

Then the balance after 10 years will be

A = 1000(1 + 0.04)¹⁰

A = $ 1480.24

More about the compound interest link is given below.

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Related Questions

4. Triangle PSV is shown on the coordinate grid. The coordinates of each vertex of the triangle are integers. What is the slope of PV?​

Answers

Answer:

-4,1

Step-by-step explanation:

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

If the coordinates of each of the vertex on the coordinate grid:

P = (2, 4)

S = (3, 4)

V = (3, 0)

The slope of PV is -4.

What are coordinates in a graph?

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

Triangle PSV:

The coordinates of each of the vertex on the coordinate grid:

P = (2, 4)

S = (3, 4)

V = (3, 0)

The slope of PV:

Choose any two coordinates from the line PV.

V = (3, 0) = (A, B)
P = (2, 4) = (C, D)

The slope of PV:

= (D - B) / (C - A)

= (4 - 0) / (2 - 3)

= 4 / -1

= -4

Thus,

If the coordinates of each of the vertex on the coordinate grid:

P = (2, 4)

S = (3, 4)

V = (3, 0)

The slope of PV is -4.

Learn more about coordinates here:

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A line with a slope of 0 passes through the point (9,5). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

y = 5      

Step-by-step explanation:

Any line with a slope of 0 is horizontal, represented by the equation y = a number. That number is the y-value of all the points the line intersects.

We know that that the line intersects (9,5). So, take the y-value of that point and write it into the equation of y = a number. Thus, the answer is y =5.

Helpppppppppppppppppppppp

Answers

Answer:

5250

Step-by-step explanation:

I’m not quite sure but I believe you are adding the 5% to the original 5000. 5000*(1.05) is 5250

Janet bought 12 guavas and 16 apples. What is the ratio of guavas to apples?

Answers

12 : 16

divide by 4

3 : 4

that's it

what is the slope of the line ?

Answers

Answer:

Slope would be -1/3

Step-by-step explanation:

Mike ordered the extra large pizza pitched below, which has an area of 144π square inches.
If james orders a pizza that is 1/2 the radius of mike's pizza what is the area of jame's pizza?

Answers

Answer:

72 pie square inches

Step-by-step explanation:

size of Miles pize=144 pie square inches

james pize is half of Mike=144 pie square inches/2

=72 pie square inches

Eric's Dad asks him to figure out the tax on the meal his family just finished eating at their favorite restaurant. The total bill was 57.60 the tax is 7.5%. what is the amount of tax they will pay for this meal?

Answers

Answer:

7.5 percent of 57.60 is 4.32

I hope this helps. :D

A random sample of 102 full-grown lobsters had a mean weight of 16 ounces and a standard deviation of 3.4 ounces. Construct a 98 percent confidence interval for the population mean μ. The best point estimate for a confidence interval estimating the population μ is____ounces.

Answers

Answer:

The best point estimate for a confidence interval estimating the population μ is 16 ounces.

The 98 percent confidence interval for the population mean μ is between 15.21 ounces and 16.79 ounces.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The best point estimate for a confidence interval estimating the population μ is

The sample mean, so 16 ounces.

T interval

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 102 - 1 = 101

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 101 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.36

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.36\frac{3.4}{\sqrt{102}} = 0.79[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 16 - 0.79 = 15.21 ounces

The upper end of the interval is the sample mean added to M. So it is 16 + 0.79 = 16.79 ounces

The 98 percent confidence interval for the population mean μ is between 15.21 ounces and 16.79 ounces.

The lateral surface area is _ square centimeters.

Answers

Answer: 24

Step-by-step explanation:

Martin says the area of a tile with a length of 1 foot by a width of 1 foot has an area of 1 square foot. And, to find 1/2 of this area, he would need to find 1/2 of the width and 1/2 of the length, and then multiply those two values. Unfortunately, his method is incorrect. Show at least one equation to show why this method would not work, and briefly state a method that will find 1/2 of 1 square foot.

I will mark brainliest if right really need help timed test.

Answers

Answer:

hvf yiuu Rex gghghhhhtctvuu122223850885bbbbbbbbygggggggggggggggggggggggh

Value of x
Give reasons

Answers

50 bc since all the angles in a triangle are 180 degrees the other angle in the complete triangle is 40 degrees and since the lines are parallel it would be a corresponding angle to the angle beside x, then you would take 90+40 +x= 180 bc it’s a straight angle
you would get 50

Answer:

50 degrees

Step-by-step explanation:

How can you write the expression 7(b-2) in words?

A. two subtracted from the quotient of seven divided by b

B. seven added to difference of b minus two

C.the quotient of seven divided by b minus two

D. two subtracted from seven times b

E. the product of seven and the difference of b minus two

Answers

E. The product of 7 and the difference of b - 2 :^)

Two numbers are in the ratio 2:3 and have sum of 25...
What are the numbers?

Answers

Answer:

Use this as an example.

Step-by-step explanation:

a/b = 2/6 = 1/3

a/b = 1/3

b = 3a

a + b = a + 3a = 192

4a = 192

a = 192/4 = 48

b = 3a = 3(48) = 144

PLEASE ANSWER FAST
15 POINTS WILL MARK BRAINLIEST


Which graph shows the result of dilating this figure by a factor of One-third about the origin?

A.) On a coordinate plane, triangle A B C has points (negative 6, 6), (6, 6), (6, negative 6).

B.) On a coordinate plane, triangle A prime B prime C prime has points (negative 2, 2), (2, 2), (2, negative 2).

C.) On a coordinate plane, triangle A prime B prime C prime has points (negative 3, 3), (3, 3), (3, negative 3).

D.) On a coordinate plane, triangle A prime B prime C prime has points (Negative 18, 18), (18, 18), (18, negative 18).
On a coordinate plane, triangle A prime B prime C prime has points (negative 12, 12), (12, 12), (12, negative 12).

Answers

Answer:

I think the answer is A. Hope this helps!

Step-by-step explanation:

5. The recursive formula NEXT = 3. NOW models the number of goldfish in a pond each year. If there are 36 goldfish in the pond after 3 years, how many goldfish will be in the pond after 6 years? A 324 B. 936 c. 972 D. 2,916​

Answers

Answer:

B

Step-by-step explanation:

Y= 5x +8
Write a real-world problem that can be represented by the following equation.

Answers

Answer:

caca

Step-by-step explanation:

Item 16
Find the perimeter of the figure to the nearest hundredth. due today

Answers

Answer:

42.84 cm

Step-by-step explanation:

1) Find the perimeter of the top trapezoid. (In cm) 6 + 8 + 12 + 10 = 36 cm

2) Find the circumference of the semicircle with the formula 0.5(pie times D) where D is the diameter. Another formula is 0.5(pie times 2r) where r is the radius. Approximate pie to 3.14 so we should get 0.5 * 3.14 * 12 = 18.84 cm

3) We do not need the length of the base of the trapezoid so we take 36 + 18.84 - 12 = 42.84 cm

Write 66,610 in scientific notation.

Answers

6661x10^4

Hope this helps

siny dy/dx=cosy (1-xcosy)

Answers

Step-by-step explanation:

hope it helpe...............

Ege saat 21.30da yattı ertesi sabah 7.15'te uyandı.Ege kaç saat kaç dakika uyudu

ACİLLLLLLL LAZIM!!!!!!!!!!!!!​

Answers

Answer:

ega caava 68=46

Step-by-step explanation:

tura pu ka dakkia chu la


What is the value of the expression below when x=7?
6x+ 10
A. 52
B. 67
C. 42
D.77

Answers

Answer:

52

Step-by-step explanation:

when a letter is next to a number like that and they tell u what the letter is u times it so 6x7+10=52 hope this helped :P

Point P is shown graphed on the coordinate grid as (6,4). In relation to point P, point A is located 2 units closer to the origin along the x-axis and 2 units farther from it along the y-axis. What would be the location of point A ?

Answers

Answer:

The coordinates of point A are [tex]A(x,y) = (4,6)[/tex].

Step-by-step explanation:

The location of point A is defined by the vectorial sum of absolute coordinates of point P and coordinates of point A relative to coordinates of point P, that is:

[tex]A(x,y) = P(x,y) + \vec v_{PA}[/tex] (1)

[tex]P(x,y)[/tex] - Absolute coordinates of point P.

[tex]A(x,y)[/tex] - Absolute coordinates of point A.

[tex]\vec v_{PA}[/tex] - Vector to point A relative to point P.

If we know that [tex]P(x,y) =(6,4)[/tex] and [tex]\vec v_{PA} = (-2, 2 )[/tex], then the absolute coordinates of point A are:

[tex]A(x,y) = (6,4) +(-2,2)[/tex]

[tex]A(x,y) = (4,6)[/tex]

The coordinates of point A are [tex]A(x,y) = (4,6)[/tex].

someone please help me answer this!!

Answers

Answer:

5.5 x 10 ^ 0

Step-by-step explanation:

5.5x10^ he would be right

A 10-foot ladder is leaning against a tree. The bottom of the ladder is 6 feet away from the bottom of the tree. About how high up the tree does the top of the ladder reach?


4 feet

6 feet

8 feet

16 feet

Answers

Answer:

8 feet

Step-by-step explanation:

Ladder = hypotenuse

bottom of ladder to tree = leg

x, 6, 10

Clear 3-4-5 triangle so,

x=8

heeeeeeeeeeeeelp meeeeeeeeeeeeeeeee

Answers

The answer is 7 because you are dividing the output to the input you will get 8 for each so therefore you divide 56 by 8 to get 7

Answer:

7

Step-by-step explanation:

You have to multiply all of them with 8

Can somebody pls help me :<

Answers

Answer:

True.

We can see that the line goes through (0, 0), however, the line is not dotted, therefore that point is included. (0,0) also coincides with the other inequality, which means that (0, 0) is a solution.

(2x2)+(8-6)
Whats the answer

Answers

Answer:

6

Step-by-step explanation

following pemdas, we first multiply 2 x 2, which is four. Next, we do the other parenthesis, 8 - 6, which is two. 2 + 4 is 6.

Hope this helps!

Answer:

the answer is six

Step-by-step explanation:

2×2=4

then

8-6=2

4+2=6

The regression equation below relates the scores students in an advanced statistics course received for homework completed and the subsequent midterm exam. Homework scores are based on assignments that preceded the exam. The maximum homework score a student could obtain was 500 and the maximum midterm score was 350. The regression line that was obtained is given by y= -84.4+ .91x If a student had a homework score of 420, the midterm score would be predicted to be:_______

Answers

Answer:

294

Step-by-step explanation:

Given the regression equation :

y= -84.4+ .91x

The value of the x axis is the independent variable which is the homework score ; the predicted variable is the mid term score, which is the values represented on the y - axis :

. Hence, For a student whose homework score, x = 420 ; the predicted mid term score will be :

y= -84.4+ .91(420)

y = - 84.4 + 378

y = 293.6

y = 294

Which equation can be used to find A, the area of the parallelogram shown? A = 5 × 9 A = 4 × 9 A = 12 × 5 × 9 A = 12 × 4 × 9

Answers

Answer:

I believe it's A=5 times 9 but since the triangle is special (3-4-5), it could be 12 times 5. Hope this kinda help :)

Please show your work​

Answers

Answer:

9(3+c+4)=

27+9c+36=

63+9c=

Step-by-step explanation:

9(3+c+4)=

27+9c+36=

63+9c=

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