A person places $6520 in an investment account earning an annual rate of 2.5%,
compounded continuously. Using the formula V = Pert, where V is the value of the
account in t years, P is the principal initially invested, e is the base of a nfitural
logarithm, and r is the rate of interest, determine the amount of money, to the nearest
cent, in the account after 3 years.

Answers

Answer 1

Given:

Principal value = $6520

Annual rate of interest = 2.5% compounded continuously.

Time = 3 years

To find:

The amount of money after three years.

Solution:

Formula for the value of the amount is:

[tex]V=Pe^{rt}[/tex]

Where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest.

Putting [tex]P=6520,r=0.025,t=3[/tex], we get

[tex]V=6520e^{(0.025)(3)}[/tex]

[tex]V=6520e^{0.075}[/tex]

[tex]V=7027.80466[/tex]

[tex]V\approx 7027.80[/tex]

Therefore, the amount of money after three years is about $7027.80.


Related Questions

Solve this system of equations by graphing. First graph the equations, and then type the solution. y= x+3 y=2x

Answers

Answer:

(3,6)

Step-by-step explanation:

Y=X+3

Y=X2

X+3=2X

X-2X= -3

-x=-3

x=3

then Y=2X

Y=2×3

Y=6

(3,6)

Complete the table and then graph the function.
y = x + 1 look at photo

Answers

Since y=x+1 you get your first x value which is 2 and add one which is 3. Your first coordinate is (2,3) now the second one is 5 so 5+1=6 meaning your coordinate is (5,6) and so on a so forth so technically just add one to the x able and use your x value and the new value you just solved for to create the new coordinate to graph

A circular flower bed is 20 m in diameter and has a circular sidewalk around it that is 4 m wide.
Find the area of the sidewalk in square meters. Use 3.14 for it.
The area of the sidewalk is m2.
(Round in the neare

Answers

Answer:diameter = 20m, sidewalk =2m

a

Step-by-step explanation:area of the flower bed = pie r square . 3.14 x 10 x 10

= 314.00m SQ

area of flower bed = pie r square

=3.14 x 8 x 8

= 200.96 m sq

side walk = incl area - excl area= 314 - 200.96 = 113.4m sq

Which of the shapes below are quadrilaterals? Select all that apply.

A) rectangle
B) parallelogram
C) square
D) rhombus

Answers

Answer:

A, B, C, D

Step-by-step explanation:

Quadrilaterals are shapes that have a total of four sides. Rectangles, parallelograms, squares, and rhombuses all have a total of four sides. Therefore, they are quadrilaterals.

Rectangle, Parallelogram, Square and Rhombus are Quadrilaterals.

We know,

A quadrilateral is a polygon with four sides. It is a geometric shape that is characterized by having four straight sides and four vertices. The interior angles of a quadrilateral add up to 360 degrees.

As, Rectangle have four sides then it is a quadrilateral.

As, Parallelogram have four sides then it is a quadrilateral.

As, Square have four sides then it is a quadrilateral.

As, Rhombus have four sides then it is a quadrilateral.

Learn more about Quadrilaterals here:

https://brainly.com/question/29934291

#SPJ6

There are 400 mangoes in a barrel. Each mango weighs 1. 8 pounds. What is the total weight of the mangoes in the barrel?

Answers

Answer:

720 pounds

Step-by-step explanation:

According to the scenario, calculation of the given data are as follows,

Number of mangoes in a barrel = 400

Each mango weight = 1.8 pounds

So, we can calculate the total weight of mangoes by using following formula,

Total weight = Number of mangoes in a barrel × Each mango weight

By putting value, we get

Total weight = 400 × 1.8 pounds

= 720 pounds

The radius of a circle is 14 m. Find its area in terms of pi

Answers

Answer:

615.44

Step-by-step explanation:

The area of the circle is 196π m².

What is a circle?

A circle is a bounded figure which points from its center to its circumference is equidistant.

Area of a circle = πr²

Where :

π = pi = 22/7R = radius

π14² = 196π m²

To learn more about the area of a circle, please check: https://brainly.com/question/14351152

Can anyone pls help me..? Thx if u do : )

Answers

1. Answer is 40, 100/2.5 = 40

2. Answer is C, 11 employees walked MORE than 2 miles to work.

brainliest please

I dont know the first one but the graph is C, 11

DA is tangent to the circle at A and DC is tangent to the circle at C. Find m2D for m B = 59. (The
figure is not drawn to scale.)
A
B
D
O 60.5
0 121
O 62
O 124

Answers

Answer:

A

Step-by-step explanation:

m angle b equals 59 now we have to find the arc of angle b.

so use the equation arc AC = 2(59)

arcAC = 118

360 - 118

=242

121/2

= 60.5

The graph of linear function f passes through the point (1, -6) and has a slope of 3. What is the zero of f?

Answers

Answer:

zero = (-1,0)

Step-by-step explanation:

Since the slope is 3, you are going to take the given point and go back one space (behind the given point), continue to go up the lines and you should be given the point (0,-3),  then you keep this process going until you get your zero (x-axis meeting point) :)

PLS HELP I REALLY NEED HELP 25 points if u help I’ll send 40 points


And explain how u know

Answers

x = 17°

Step-by-step explanation:

total angle is 90°

so the equation is

90°=73°+ x

x = 90°-73°

x=17°

hope it helps ❤️

Assuming that the total angle is 90°, we can take 90-73 = 17. This means x would be 17° as long as the total angle is a 90° angle

I really need help with this please!!!

Answers

Answer:

Step-by-step

That is the answer hope it heled you

What pair of integers have a product of -24 and a sum of -10?

Answers

Answer:

-12 and 2

Step-by-step explanation:

i don’t understand this

Answers

Answer:

Zoom in and I hope it helps you

Convert 5 quintal into kilogram

Answers

Answer: 5 quintal = 500 kilogram

Step-by-step explanation:

Find the surface area of the regular pyramid. Write your answer as a decimal.

It has a pentagonal base of 84.3 sq cm and the dimensions of the triangles are 7 cm across and 9 cm tall.

Answers

7x9=63/2=31.5

31.5x4= 126

7x7=49

126+49=175

The surface area of the pyramid would be 175cm^2

Lines Line D E and Line A B are parallel. Lines D E and A B are parallel. Angles B and D are alternate interior angles. Which angles represent alternate interior angles

Answers

Answer:

Angles B and D

Step-by-step explanation:

Since Lines D E and Line A B are parallel hence

The angles that will represent alternate interior angles will be

Angles B and D

This is because when two parallel lines are cut  through by a transversal, the corresponding angles are congruent .

Answer:

B

Step-by-step explanation:

2. The picture shows a feeding trough that is shaped like a right prism.

(a) Surface A and B are identical trapezoids. What are the lengths of the bases of the trapezoids? What is the height?
(b) Surfaces A and B will be painted blue. What is the total area that will be painted blue?
(c) The edges of the trapezoids need to be sanded. A piece of sandpaper advertises that it can sand up to 80 cm. Will one piece of sandpaper be enough to sand the edges of one trapezoid? Explain.

Answers

Answer:

B

Step-by-step explanation:

Find the Surface Area of the net. Round to the hundredths (second decimal place).
7.4 cm
3.1 cm
3.1 cm
5 cm

1
1
3.1 cm
3.1 cm
5 cm

Answers

Answer:

The surface area is 123.49

Step-by-step explanation:

F of x equals the integral from 0 to x of the cosine of t squared . Use your calculator to find f '(1).
1. 0.709
2. 0.292
3. 0.842
4. 0.540

Answers

Answer:

First, if we have a function defined as:

[tex]G(x) = \int\limits^x_0 {f(t)} \, dt[/tex]

then:

G'(x) = f(x)

[tex]F(x) = \int\limits^x_0 {cos(t)^2} \, dt[/tex]

then:

F' = dF/dt = cos(t)^2

F'(1) = cos(1)^2 = 0.2919

If we round it up to the third digit after the decimal point we get:

F'(1) = 0.292

The correct option is the second one.

what are the factors of 19 that have a sum of 20

Answers

Answer:

1 and 19

Step-by-step explanation:

Those factors are 1 and 19.  They add up to 20.

Answer:

1 and 20 as your factors to add up to 19.

Step-by-step explanation:

I hope this is right.

A translation is shown on the grid below.
4
4
2
-1
-51-3
2
3
4
5
X
b
$
.
Which are true statements about the translation?

Answers

Answer:

I can't see the rest of the answers, but I believe it is the first answer. Both triangles are congruent.


Riley washes the dishes on
Monday and Thursday each week.
It takes her 15 minutes to wash the
dishes each day. How many
minutes does Riley spend washing
dishes every 3 weeks?

Answers

90 minutes or 1 hour and 30 mins

(Pls correct me if im wrong)

can anyone help me, i need like 6 more of these i’ll mar brainliest

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 2 Squareroot(2)

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

I just answered so you could give this person brainliest

Can someone help me please?

Answers

The correct answer is red

help me this is urgent!!!!!!!

Answers

Answer:

t = 7

I hope it's helps you

someone please help me with this ! (No links) I would really appreciate the help !

Answers

Answer: Since this is the right triangle so

[tex]Sin B = \frac{AC}{AB} =\frac{AC}{6} \\=> AC = sin(20) * 6 = 5.478 = 5.48[/tex]

Apply Pythagorean theorem:

[tex]AC^{2} +CB^{2} =AB^{2} \\5.48^{2} +CB^{2} =6^{2}[/tex]

[tex]CB = \sqrt{6^{2} -5.48^{2} } = 2.44[/tex]

Find the volume of the cone.

Answers

answer:

2,558

step-by-step explanation:

the formula for the volume of a cone is v=πr²h/3

with that let us 'fill in' the formula-

v=π*9.6²*26.5/3

v=2,557.51

then since you've asked us to round the answer to the nearest whole number that would be 2,558

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

evaluate tan(sin^-1(-4/5)). Enter your answer as a fraction using the slash bar (/).

Answers

Answer:

-1333/1000

Step-by-step explanation:

Evaluate tan(sin^-1(-4/5)).

First we need to evaluate the expression in parenthesis

sin^-1(-4/5)

= sin^-1(-0.8)

= -53.13

SUbstitute the given value into the original expression as shown;

tan(sin^-1(-4/5))

=  tan(-53.13)

= -1.333

= -1333/1000

Hence the required answer is  -1333/1000

Answer:

-4/3

Step-by-step explanation:

assuming the S is capital in Sin^-1 (4/5)

what is five million four thousand three hundred in standard form

Answers

Answer:

5,400,300...........

5004300

........

......

....

...

..

.

Please answer my question please

Answers

Answer:

D

Step-by-step explanation:

i already did it its d

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