If $8259 principal is invested in a savings account that pays 5.25% interest compounded continuously how much money will be in the account after 10 years?

A(10) = $

Answers

Answer 1

Answer:

A(10) = $13,961.50

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 5.25/100

r = 0.0525 rate per year,

Then solve the equation for A

The formula is given as:

A = Pe^rt

P = 8259

r = 0.0525

t = 10 years.

Hence,

A = 8,259.00 × e^(0.0525×10)

A = $13,961.50

Therefore, the money that will be in the account after 10 years is $13,961.50


Related Questions

Use the information given to write the equation of the circle

Center: (-9, -3), Point on Circle: (-11,2)

Answers

x²+ y²+ 20x + 8y - 84 = 0 is equation of the circle .

What is a circle, exactly?

A circle is a closed, two-dimensional object in which all points in the plane are equally spaced apart from the center.

                    The symmetry line of reflection is formed by each line that traverses the circle. Additionally, it is rotationally symmetric about the center for all angles.

the equation of the circle with center (-10,-4) and a point on the required circle is (4,-2).

Clearly, radius of the circle will be distance between the center and the point on the circle.

    r = √( -10 - 4 )²+ ( -4 + 2 )²

     r =  √196 + 4

     r =  10√2

We know that circle with center at (h.k) and radius r has the equation

       ( x - h )² + ( y - k )² = r²

We have circle with radius 10√2    and center at (-10,-4) and its equation will be

        ( x+ 10 )² + ( y + 4)²= ( 10√2)²

     x²+ y²+ 20x + 8y - 84 = 0

Learn more about circle

brainly.com/question/29142813

#SPJ1

Answer:

Radius

r=11

Diameter

d=22

Circumference

c=22π

Area

a=121π

Standard form equation

(x+9)^2+(y-3)^2=121 is the awnser you most likley are looking for

Expanded form equation

x^2+y^2+18x-6y-31=0

What number multiples to -12 and adds to 4 (factoring: diamond method)

Answers

Answer: - 2 and 6

Step-by-step explanation:

Answer:

6 and -2 multiply to -12 and adds to 4

what is 1 over 2 multiplied by 1 over 5?

Answers

Answer:

i think its 1/10 or 1 over 10

Step-by-step explanation:

Answer:

1 over 10

Step-by-step explanation:

1×1 = 1 (multiply numerator)

2×5 = 19 ( multiply denominator)

real life example of point in geometry

Answers

Answer:

A location of a place in the Map. The tip of a needle.

Step-by-step explanation:

Definition, Example In geometry, a point is defined as an exact position or location on a plane surface. It is denoted by dot (.) Take a sharp pencil and make a dot on a paper. In the above image,the point is indicated as A. Needle is the best example where you can see the point in the top edge.

The class must raise at least 100$ to go on the field trip. They have collected 20$. Write an inequality to represent the amount of money (m) the class still needs to raise.

Answers

Answer: 20x < 100

subtract 20 from both sides

20 - 20 = 0

100 - 20 = 80

x < 80

Find the missing side or angle. Round to the nearest Tenth. B=45° a= 9 c= 19

Answers

Answer: b=14.1

Step-by-step explanation:

i just got it on acellus and it was correct

TWO points A and B on a plan represent two localities 12 m apart. Given that the segment AB is 6 cm long, find the scale used to draw the plan.

Answers

Answer:

The scale used to draw the plan is 1: 200.

Step-by-step explanation:

Given that two points A and B on a plan represent two localities 12 m apart, to determine, given that the segment AB is 6 cm long, the scale used to draw the plan, the following calculation must be performed:

12 m = 12 cm x 100 = 1200 cm

1200/6 = 200

Therefore, the scale used to draw the plan is 1: 200.

can i get some help? 30-60-90 triangle

Answers

Answer: 180 i think

Step-by-step explanation:

Answer:

28.28 or 28.3

Step-by-step explanation:

use desmos to help you, it's very helpful :)

If the spinner is spun twice, what is the probability that the spinner will stop on a vowel then a consonant?

pls help c:

Answers

B) 1/9

[tex]\\[/tex]

[tex]\large\mathfrak\red{\underline{Step\:by\:step \:explanation}}[/tex]

[tex]\dashrightarrow[/tex]There are 2 (L and Z) consonants out of 6 letters.

[tex]\\[/tex]

[tex]\red\bigstar[/tex]The probability of getting a consonant

[tex]\pink\implies[/tex] 2/6 = 1/3

[tex]\\[/tex]

[tex]:\red\implies[/tex]When we spin the spinner second time, we will get the same probability

= 2/6 = 1/3

[tex]\dashrightarrow[/tex]The probability that the spinner will stop on a consonant then again on a consonant

= 1/3 x 1/3

= 1/9

[tex]\red\bigstar\mathfrak \pink{Therefore, the \: answer \: is \: B) 1/9}[/tex]

[tex]\rule{300px}{.7ex}[/tex]

[tex]\large\tt\purple{\underline{ElegantLavender~}}[/tex]

Option B is correct - 1/9

Enter the value that belongs in the
green box.
60°
10
Х
30
у
sin 30º =
[?]

Answers

Answer:

10

Step-by-step explanation:

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{10}{x}[/tex]

Estimate 11.14+9.543 by first rounding each number to the nearest tenth.

HELP PLSZZ

Answers

To round each number to the nearest tenth, we have to look at the second digit after the decimal point, the hundredths. We look at tenths to round whole numbers, hundredths to round tenths, thousandths to round hundredths, etc. If the digit is 4 or below, then we would round down. If the digit is 5 or up, we would round up.

11.14

The digit is below 5, so we round down to 11.1.

9.543

The digit is also below 5, so we round down to 9.5.

Henceforth, adding these two numbers, we can conclude that an accurate estimation of the sum is 11.1 + 9.5, or 20.6.

If we wanted to round this answer further, we would use the same rounding rule. 20.6, where the tenths place digit, 6, is above 5, would be rounded up to 21.

how to find compound intrest

Answers

Answer:

A = Accrued amount (principal + interest)

P = Principal amount.

r = Annual nominal interest rate as a decimal.

R = Annual nominal interest rate as a percent.

r = R/100.

n = number of compounding periods per unit of time.

t = time in decimal years; e.g., 6 months is calculated as 0.5 years

(THIS ANSWER IS NOT MINE BTW- CREDITS TO THE OWNER))

17) Evaluate D(4)
Please help

Answers

Answer:

D(4) = 6

Step-by-step explanation:

Using the blue graph, find the y value when x =4

the y value is 6 when x=4

D(4) = 6

please help will be brainliest
[tex]3x + 2 > 11[/tex]

Answers

Answer:

x>3

Step-by-step explanation:


3x>11−2

2 Simplify
11

2
11−2 to
9
9.
3
x
>
9
3x>9

3 Divide both sides by
3
3.
x
>
9
3
x>
3
9



4 Simplify
9
3
3
9

to
3
3.
x
>
3
x>3
ANSWER - x>3

the measure of five of of the interior angles of a hexagon are 150, 100, 80, 165, and 150. what is the measure of the sixth interior angle?
please help it’s due soon and show the work!!

Answers

Answer:

75°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 6 , then

sum = 180° × 4 = 720°

let x be the sixth angle, then sum and equate to 720°

150 + 100 + 80 + 165 + 150 + x = 720

645 + x = 720 ( subtract 645 from both sides )

x = 75

The sixth interior angle is 75°

No links please or I’m reporting you

Answers

Answer:

quadrant  2   the last  option

Step-by-step explanation:

hope this helps!

What is the area of the trapezoid?Round to the nearest hundredth.

Answers

Answer:

The answer is 33.32

Can someone help me pleaseeee!!!:(

Answers

Answer:

Step-by-step explanation:

math is a thing pls like this it was meaningful ;;;;;;;;;0

Answer:

Step-by-step explanation:

Nah

solve for x PLEASE HURRY

Answers

Answer:

NAHHHHH G

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

5(14) = 10(x)

70 = 10(x)

x = 7

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Factor the perfect square trinomial x2 − 12x + 36.

A. (x − 6)2
B. (x − 6)(x + 6)
C. (x + 6)2
D. (x − 12)2

Answers

A. (x-6)^2

x^2 - 12x + 36 is a perfect square trinomial, bevause half of -12 is -6 and -6 squared is 36.

the circumcenter of AMNP, find each measure
A=
NE=
MD=

Answers

60% 30% 160% that’s for each one in order

Write the equation of a line that has a slope of 4 and goes through the point (1, -2)

Answers

Mark me as brainliest please! :)

The point-slope form of equation is
y
+
4
=
6

(
x

3
)
Explanation:
Point - Slope form of a linear equation is
(
y

y
1
)
=
m

(
x

x
1
)
Given : Slope
m
=
6
, Point
(
x
1
,
y
1
)
=
(
3
,

4
)
The point-slope form of equation is
y
+
4
=
6

(
x

3
)

A glide reflection is a composition of a line reflection and a translation that is parallel to the line of reflection. Unlike some composition of transformations, a glide reflection IS ____________________. Therefore, the line reflection and translation can be done in any ____________.

Answers

Answer:

" a glide reflection IS commutative. Therefore, the line reflection and translation can be done in any order."

Step-by-step explanation:

Transformations can be written as operators that act on functions or shapes.

For example, we can define the horizontal translation operator as:

T(k)

And if we apply this to a function, we get:

T(k)[ f(x) ] = f(x - k)

Now, the operators are not necessarily commutative.

This means that if we have two operators:

K and L

is not the same:

K[ L[ f(x) ]]

than:

L[ K[ f(x) ]]

An example of this can be a reflection across the y-axis and a horizontal translation, that composition is non-commutative.

Now, let's go to our case.

A glide reflection is commutative, so we can perform the transformations in any order, then the statement is:

" a glide reflection IS commutative. Therefore, the line reflection and translation can be done in any order."

Sandy paid $27 for her new sweater. If the sweater was on sale for 25% off, what was the original price?​

Answers

Answer:

The answer is $36

Step-by-step explanation:

Took the Star Math Test

Answer:

$36

Step-by-step explanation:

100% - 25% = 75%

75% as a decimal = 0.75

75% = 27

75% as a decimal = 3/4

So 3/4 x = 27

27 x 4 = 108

108 / 4 = 36

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Can someone plz help me find the vertex and the stretch factor

Answers

Answer:

(1,-25)

Step-by-step explanation:

I believe the answer is (1,-25) because when the function is graphed the vertex is at the point x=1 y=-25

(No links I’ll report)

Pls help me I don’t have much time ~math ~ I’ll mark brainliest


A. Reflection, translation
B. Reflection, rotation
C. Translation, translation
) D. Rotation, translation

Answers

Answer:

A

Step-by-step explanation:

Pleaseeee helpppppp please please pleaseeee someone

Answers

Answer:

10

Step-by-step explanation:

(5x - 16) = 34

x = 10

A sample of 23 women athletes, aged 20 was taken. The systolic blood pressure of these women had an average of 112 with a standard deviation of 3.3. Calculate a 90% confidence interval for the average systolic blood pressure of 20-year old women athletes.

Answers

Answer:

Step-by-step explanation:

average of 112 with a standard deviation of 3.3. Calculate a 90% confidence interval for the average systolic blood pressure of 20-year old women athletes.

From the above question

Number of samples = 23 , less than 30,

Hence, we find confidence interval using t score

Confidence Interval using t score =

Mean + t score × standard deviation/√n

Step 1

We find the degree of freedom

= N - 1

= 23 - 1

= 22

A number divided by four is at most 6. Which choice is correct??

A. K/4 > 6
B. 4/k ≤ 6
C. K/4 ≥ 6
D. K/4 < 6
E. K/4 ≤ 6

Answers

C because that sign means lesser than or equal to 6

y=3x +5
y=x+3
Graph the system. Then write its solution. Note that you can also answer "No solution" or "Infinitely many" solutions.

Answers

(-1,2) point form and x= - 1, y=2 equation form Good Luck
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