A person places $123 in an investment account earning an annual rate of 2.8%,
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 natural
logarithm, and r is the rate of interest, determine the amount of money, to the
nearest cent, in the account after 2 years.

Answers

Answer 1

Answer:

V = 130.08

Step-by-step explanation:

To solve we will use the equation V= [tex]Pe^r^t[/tex]

V= what you are solving for

P= initial number ( 123)

R= rate (2.8%)

-we can convert the rate to a decimal by moving the decimal place 2 spaces to the left.

R= 0.028

T= time (2 years)

The equation should be... [tex]V=123e^(^0^.^0^2^8^*^2^)[/tex]

To solve we can first multiply 0.028 and 2

This is = 0.056

[tex]V=123e^0^.^0^5^6[/tex]

Then using a calculator we get...

V = 130.0845


Related Questions

What is sandwich theorem?

Answers

In calculus, the squeeze theorem, also known as the pinching theorem, the sandwich theorem, the sandwich rule, the police theorem, the between theorem and sometimes the squeeze lemma, is a theorem regarding the limit of a function. In Italy, the theorem is also known as theorem of carabinieri.

In calculus, the squeeze theorem, also known as the pinching theorem, the sandwich theorem, the sandwich rule, the police theorem, the between theorem and sometimes the squeeze lemma, is a theorem regarding the limit of a function. In Italy, the theorem is also known as theorem of carabinieri.

Al resolver la suma de ¾ + 5/4 obtenemos como resultado

Answers

Answer:

2

Step-by-step explanation:

3/4+5/4=8/4=2

what is 1 x 5?
also what is 200 plus 200

Answers

Answer:

1 x 5 = 5

  and

200 + 200 = 400

(Hope this helps! Btw, I answered first. Brainliest please! :D)

An eagle perched 40 ft up in a tree looks down at a 35 degree angle(angle of depression) and spots a vole. How far is the vole from the eagle(diagonal) to the nearest tenth of a foot?

Answers

Answer:

[tex]X=49ft[/tex]

Step-by-step explanation:

From the question we are told that:

Height of Eagle [tex]h=40ft[/tex]

Angle of depression [tex]\theta=35\textdegree[/tex]

 

Generally the trigonometry equation for diagonal X is mathematically given by

[tex]Cos\theta \textdegree=\frac{Adjacent}{Hypotenuse} }[/tex]

[tex]Cos\theta \textdegree=\frac{h}{X} }[/tex]

[tex]X=\frac{40}{Cos 35 } }[/tex]

[tex]X=48.83ft[/tex]

[tex]X=49ft[/tex]

The function m is given in three equivalent forms. Which form most quickly reveals the vertex

Answers

Answer:

m (x) = -2(x-6)^2 +18

Step-by-step explanation:

Two chords intersect within a circle to form an angle whose measure is 53 degrees. If the arcs are represented by 3x+3 and 10x-14, find the measure of the LARGER of these two arcs.

Answers

Answer:

76degrees

Step-by-step explanation:

Using the theorem which states that the vertex of the angle inside a circle is half the sum of the measured intercepted arcs. Hence;

Angle at the vertex = 53 degrees

Half the sum of intercepted arcs = 1/2(3x+3+10x-14)

Half the sum of intercepted arcs = 1/2(13x-11)

Equating to  the vertex to find x

1/2(13x-11) = 53

13x - 11 = 2 * 53

13x - 11 = 106

13x = 106 + 11

13x = 117

x = 117/13

x = 9

For the arc 3x + 3

= 3(9) + 3

= 27 + 3

= 30degrees

For the arc 10x - 14

= 10(9) - 14

= 90 - 14

= 76degrees

Hence the measure of the larger of the two arcs is 76degrees


Amelia needs to buy some dog food. At the nearest store, 6 bags of dog food cost $34.50. How
much would Amelia spend on 2 bags of dog food? ASAP

Answers

Answer:

34.50/3=11.5 SOOOOO- the answer will be 11.50$ (11 bucks 50 cents)

Step-by-step explanation:

Answer: Amelia would spend exact $28.75

Write an equation and solve.
How opd am I if 400 reduced by 2 times my age is 244?

Answers

Answer:

78

Step-by-step explanation:

x = your age

400 - 2x = 244

subtract 400 from both sides of the equation:

-2x = -156

divide both sides by -2:

x = 78

Answer: 78

Step-by-step explanation:

x = your age

400 - 2x = 244

subtract 400 from both sides of the equation:

-2x = -156

divide both sides by -2:

x = 78

PLS HELP WILL GIVE BRAINY THINGY TO CORRECT ANSWER PLUS 100 POINTS!!!
Toby is choosing a bank account.
He wants to invest his money for 5 years.

Account 1: 7.2% interest paid at the end of 5 years.
Account 2: 1.49% compound interest, paid annually.
Account 3: 1.9% simple interest on the starting amount, paid annually.

How much interest will Toby earn on £1000 with each account?
Round your answers to the nearest penny.
Write down which account Toby should choose in the comment box.
Account 1: £
Account 2: £
Account 3: £

Answers

Answer:

Account 1: £720, account 2: £1227.38, account 3: £950.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

7/8•1/2??? I can’t do it in my head put it in fraction from please

Answers

Answer:

[tex]\frac{7}{16}[/tex]

Step-by-step explanation:

[tex]\frac{7}{8}[/tex] x [tex]\frac{1}{2}[/tex] = [tex]\frac{7}{16}[/tex]

7 x 1 = 7

8 x 2 = 16

Let me know if this helps!

At Super Grocery, potatoes cost $2.85 for 5 pounds. At Value Market, potatoes cost $4.20 for 7 pounds. What is the unit price of a pound of potatoes at Value Market.

Answers

Answer:

$1.66 per pound of potatoes.

Step-by-step explanation:

7/4.20 = 1.66$ per Pound

Mark as brainllest

$1.66 per pound of potatoes.

3(x + 2y) + 8 + 5y = 3 × x + 3 x 2 x y + 8+ 5y
?x +?y+8 + 5y
help pls I will mark you if you answer​

Answers

Draw a two-dimensional representation of each prism. Then find the area of the entire surface of each prism

A binder is 9 inches wide, 12 inches long and 1.5 inch thick. what is the volume of documents the binder can hold?

Answers

Answer:

162 square inches

Step-by-step explanation:

9*12*1.5

Answer:

162 cubic inches

Step-by-step explanation:

9 times 12 times 1.5

Classify the triangle as acute, right, or obtuse.
45
110°
25°

Answers

The triangle is an obtuse since its greater than 90 degrees but less than 180.

Joe says that x
+ 5x = 16
and
x+ + 5x + 25 = 16
are equivalent equations. Is he correct? Explain your
thinking.
Yes
No

Answers

The equations x+5x=16
and x+5x+25=16
No, the equations are not equal. In order for an equation to be equal the equation x+5x=16 contains 25 less than the second equation.

the table shows the costs of different size jars of peanut butter. Which of the jars have the lowest unit rate?

Answers

Answer:

Step-by-step explanation:

Option C) 25-oz jar has the lowest unit rate

What is the unit rate?

Unit rate is the ratio of two different units, with the denominator as 1. For example, kilometer/hour, meter/sec, miles/hour, salary/month, etc

Given here the cost of a 12 oz jar is $3

so the unit rate of a 12 oz jar is = 12/3

                                                 = 4

similarly, the unit rates of all the jars from the given table are

 18 oz jar = 18/4.40

                = $4.09

25 oz-jar = 25/6.75

               = $3.703

32 oz jar = 32/8.25

               = $3.87

Hence the jar with the lowest unit rate is the 25 oz jar

Learn more about the unit rate here:

https://brainly.com/question/29781084

#SPJ2

Find the slope of this line: (15,7) (3,-2)

Help

Answers

Answer:

[tex]m=\frac{3}{4}[/tex]

Step-by-step explanation:

[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(15,\:7\right),\:\left(x_2,\:y_2\right)=\left(3,\:-2\right)[/tex]

[tex]m=\frac{-2-7}{3-15}[/tex]

[tex]\mathrm{Refine}[/tex]

[tex]m=\frac{3}{4}[/tex]

6. Which equation written in slope-intercept form represents the trend line 1 shown on the scatter plot below? ​

Answers

9514 1404 393

Answer:

  B

Step-by-step explanation:

The line has a y-intercept of 40 (in agreement with all answer choices). It goes through the point (6, 30), so has a "rise" of -10 for a "run" of 6. The slope is ...

  m = rise/run = -10/6 = -5/3

The equation with a slope of -5/3 is the one shown in choice B.

Answer:

B

Step-by-step explanation:

Sandra buys stamps that cost $0.65 each. She spends a total of $158.60 on the stamps. To determine how many stamps she buys, she needs to divide $158.60 by $0.65.

How many stamps does Sandra buy?

Answers

Answer:

1 Stamp = $0.65

Stamps Bought= $158.60/0.65

=244 Stamps

Geometry help please. Find HI.

Answers

Answer:

15

Step-by-step explanation:

Both triangles are congruent, so RS and JI have a 1:5 ratio.

3 x 5 = 15 for HI

The answer should be 15 because you should multiply by 5

If x2 + 12x + n is a perfect square trinomial,
then n =?

Answers

Answer:

The answer is n=36 Hope this helps^_^

Step-by-step explanation:

plz give brainliest and rating

HELP! I NEED HELP ASAP

Answers

Step-by-step explanation:

yes the 10' wave is the outlier

Answer:

The correct option is .The 10 foot wave is an outlier.

Step-by-step explanation:

Find the perimeter and the area of the polygon with the given vertices N (-4,2) , P (5,2) , Q (5,5) , R (-4,5) PLEASE ANSWER

Answers

Answer:

Perimeter = 24;  Area = 27

Step-by-step explanation:

If you draw out the coordinates on paper you can clearly see side lengths be seeing how far away they are from eachother on the axis'

From Point N to point P it travels the x axis by 9 units.

Therefore the bottom side is 9 units long.

From Point N to Point R it travels the y axis by 3 units

therefore the left side length is 3 units long

Area = b*h = 9*3 = 27

Perimeter = 2b + 2h = 2*9 + 2*3 = 24

| Una empresa monopoliza un mercado cuya demanda es Qd = 25-0,25P. Las condiciones de costo de esta empresa son: CVMe = Q y CF = 100. 1) Determinar: a) ¿Cuántas unidades producirá y a qué precio? b) ¿Cuál es el beneficio empresario? c) ¿Cuál es la elasticidad precio de la demanda en el punto de equilibrio?

Answers

Answer:

   

Step-by-step explanation:

can someone please help me​

Answers

Answer:

y - 4 = 3(x-3)

Step-by-step explanation:

Find the area of the composite figure. Show your work. What is the area of the figure?​

Answers

Answer:

46 units²

Step-by-step explanation:

The figure can be decomposed into 2 triangles and a rectangle.

Area of rectangle = L*W

W = 4

L = 8

Area = 32 units²

Area of triangle 1:

Area = ½(b*h)

b = 3

h = 4

Area = ½*3*4

Area = 6 in.

Area of triangle 2:

b = 4

h = 4

Area = ½*4*4

Area = 8 units

✅Area of the figure = 32 + 6 + 8

= 46 units²

Kyle bought a ticket to see his favorite basketball team playing at home. His seat is in the terrace section, about 178 feet from the center of the court. If the angle of depression to the court is 59 degrees, which of the following represents the height Kyle is sitting? Round to the nearest tenth.

Answers

Answer:

128.6

Step-by-step explanation:

I just did the math

A tuna can has a diameter of 5.3 cm and a height of 4.1 cm. What is the volume of a cylindrical package
containing 5 tuna cans? Round your answer to the nearest whole number

Answers

Using the formula v = pi x r^2 x h

pi x 18.0625 x 4

You will get the answer= 72.25pi

and rounded you get

=

72pl

Find an expression for the perimeter of the rectangle. Write your answer in standard form.​

Answers

Answer:

B. 12x + 8

Step-by-step explanation:

2x + 5 + 4x - 1 + 2x + 5 + 4x - 1

Combine like terms.

6x + 5 - 1 + 2x + 5 + 4x + 1

8x + 5 - 1 + 5 + 4x - 1

12x + 5 - 1 + 5 - 1

12x + 10 - 1 - 1

12x + 10 - 2

Subtract 2 from 10 to get 8.

12x + 8

The perimeter of the rectangle is 12x + 8, which is B.

Can someone just plz help me I'm begging plz

Answers

Answer:

x=70°

Step-by-step explanation:

Three triangles can be made out of that shape so total int. angles = 3 x 180°=540°.

so 40 + 110 + 4x + 40 + x = 540°

190+5x=540°

5x=350°

x=350/5=70°

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