a customer deposits $2000 in a savings account that pays 5.2% interest compounded continuously. how much will be earned between the 3rd and 5th yeards?

Answers

Answer 1

The amount of money a customer will earn between 3rd year and fifth year will be given as follows:
FV=p(1+r/100)^n
where:
FV=future value
r=rate
n=time

The amount earned in the first 3 years will be:
FV=2000(1+5.2/100)^3=$2,328.50

The amount earned in 5 years will be:
FV=2000(1+5.2/100)^5=$2,576.97

The amount earned between 3rd and 5th
=2,576.96-2,328.50
=$248.46

Related Questions

Suppose your club is selling candles to raise money. It cost $100 to rent a booth from which to sell the candles. If the candles cost your club $1 and are sold for $5 each, how many candles must be sold to equal your expenses?

Answers

let x = # candles sold

100 + x = 5x
4x = 100
x = 25

answer
25 candles must be sold to equal expenses

25 candles

What is profit and loss ?

Profit or Gain = Selling price – Cost Price

Loss = Cost Price – Selling Price

According to the given question,

Candles sold must cover the expenses = 100

Let x be the no. of candles that needs to be sold to cover the expenses

rent = 100

Cost price of 1 candle = CP = 1

Cost price of x candles = CP = 1x

Selling price of 1 candle = SP = 5

Selling price of x candles = SP = 5x

Therefore, from the above statements we can infer that the profit generated must be equal to the expenses,

So, SP - CP = Profit = 100

5x - x = 100

4x = 100

x = 25

Therefore, we need 25 candles that needs to be sold to cover the expenses

Answers

To solve this equation, you know you have two numbers which you can represent with x and y.
Larger number = y Twice the smaller number subtracted from the larger
Smaller number = x is equal to 13:

y - 2x = 13 Solve for y: y = 2x + 13 Then substitute your value for y into the equation they gave you at the beginning:

(2x + 13) + x = 52 Solve the equation by simplifying:
3x = 52 - 13 3x = 39 x = 13 Then substitute your value for x (13) into the equation we made to solve for y:
y - 2(13) = 13 y - 26 = 13 y = 39
So your answer is, "The two numbers are 13 and 39."

What is 51.875 rounded to the nearest tenth

Answers

81.9 should be correct

Trigonometric Identities and Applications? help

Answers

[tex]\bf h=-15cos\left( \frac{2\pi }{5}t \right)\qquad \boxed{h=8}\qquad 8=-15cos\left( \frac{2\pi }{5}t \right) \\\\\\ \cfrac{8}{-15}=cos\left( \frac{2\pi }{5}t \right)\implies cos^{-1}\left( \frac{8}{-15}\right)=cos^{-1}\left[ cos\left( \frac{2\pi }{5}t \right) \right] \\\\\\ cos^{-1}\left( \frac{8}{-15}\right)=\cfrac{2\pi }{5}t\implies \cfrac{5}{2\pi }\cdot cos^{-1}\left( \frac{8}{-15}\right)=t\\\\ -------------------------------[/tex]

[tex]\bf cos^{-1}\left( \frac{8}{-15}\right)=\stackrel{radians}{\stackrel{II~quadrant}{\approx 2.13}~~,~~\stackrel{III~quadrant}{\approx 4.15}}\qquad \qquad t= \begin{cases} \frac{5}{2\pi }\cdot 2.13\\\\ \frac{5}{2\pi }\cdot 4.15 \end{cases}[/tex]

On a coordinate grid, point M is at (−8, 2) and point S is at (10, 2). The distance (in units) between points M and S is ______. (Input only whole numbers, such as 2.)

Answers

We can solve this using the distance formula:

d=√(x2-x1)² + (y2-y1)²
d=√(-8-10)² + (2-2)²
d=√(-18)² + 0
d=18

what is the LCM of 6 and 8

Answers

Hello!

LCM stands for "Least Common Denominator."

The LCM is the smallest common multiple of two numbers.

To find the LCM of 6 and 8, follow these easy steps.

1. Find the prime factorization of both numbers.

6 = 2 × 3

8 = 2 × 2 × 2

Next, multiply each factor the number of times we did above.

LCM = 2 × 2 × 2 × 3

LCM = 24

ANSWER:

The LCM of 6 and 8 is 24.

To find the LCM (Least Common Multiple) of two numbers then multiply both numbers by 1,2,3 and so on and so on.

6 x 1 = 6
6 x 2 = 12
6 x 3 = 18
6 x 4 = 24
6 x 5 = 30
===================================================================
8 x 1 = 8
8 x 2 = 16
8 x 3 = 24
8 x 4 = 32
8 x 5 = 40

Now find the multiple that matches first (which is 24)

Your LCM is 24

what is 87/96 feet in inches

Answers

10.875 inches would be your answer

the answer is 10.875 inches

One root of f(x)=x^3-9x^2+26x-24 is x = 2. What are all the roots of the function?

Answers

The roots of the function is 26

Answer:

Solutions are

[tex]x_{1}=4\\x_{2}=2\\ x_{3}=3[/tex]

Step-by-step explanation:

The given expression is

[tex]f(x)=x^{3}-9x^{2} +26x-24[/tex]

First, we need the divisors of the independent term, which is 24.

24 divisors: 1, 2, 3, 4, 6, 8, 12, 24.

Now, we replace each divisor in the function, and those which gives zero as result, those are gonna be the roots of the equation.

For [tex]x=1[/tex]

[tex]f(1)=(1)^{3}-9(1)^{2} +26(1)-24=1-9+26-24=-6[/tex]

This means [tex]x=1[/tex] is not a solution.

For [tex]x=2[/tex]

[tex]f(2)=(2)^{3}-9(2)^{2} +26(2)-24=8-36+52-24=0[/tex]

So, [tex]x=2[/tex] is the first solution.

For [tex]x=3[/tex]

[tex]f(3)=(3)^{3}-9(3)^{2} +26(3)-24=27-81+78-24=0[/tex]

It's solution.

For [tex]x=4[/tex]

[tex]f(4)=(4)^{3}-9(4)^{2} +26(4)-24=64-144+104-24=0[/tex]

Therefore, all roots are

[tex]x_{1}=4\\x_{2}=2\\ x_{3}=3[/tex]

Evaluate the Expression - show your work :)

Thanks!

Answers

[tex] \cfrac{(n+4)!}{n+4} = \cfrac{(n+4)(n+3)!}{n+4} =(n+3)![/tex]

The answer is (n+3)!

Mae's cat weighs 5 3/8 pounds. What is the weight written as a decimal
?

Answers

It would be 5.375

Reasoning: 8 goes into 3, 0.75 times plus 5 pounds

A high fountain of water is in the center of a circular pool of water. you walk the circumference of the pool and measure it to be 190 meters. you then stand at the edge of the pool and use a protractor to gauge the angle of elevation of the top of the fountain. it is 55°. how high is the fountain?

Answers

The first thing we must take into account is that the circumference of the pool is given by:
2 * pi * R = 190
From here, we clear the radio:
R = (190) / (2 * pi)
R = 30.23943919 m
Then, you can see the problem as a rectangle triangle, where the height of the source will be given by the following trigonometric relationship:
tan (55) = H / R
From here, we clear the height H:
H = R * tan (55)
H = (30.23943919) * tan (55)
H = 43,1863948 m
Amswer:
the fountain is 43.19 m high

The height of the fountain is 43.20m

Data;

circumference = 190mangle = 55 degrees.

Circumference of a Circle

The circumference of a circle is given as

[tex]c = 2\pi r[/tex]

Let's calculate the radius of the circle

[tex]c=2\pi r\\r=c/2\pi \\r=190/(2*3.14)\\r=30.25m[/tex]

Assuming the radius of the pool makes a right angle triangle with the top of the fountain;

[tex]tan\theta=\frac{opposite}{adjacent}\\tan55=\frac{x}{30.25}\\ x= 30.25tan55\\x=43.20m[/tex]

From the calculations above, the height of the fountain is 43.20m

Learn more on right-angle triangles here;

https://brainly.com/question/22790996

Average speed of Car 1 = 55 mph.
Average speed of Car 2 = 70 mph.
Time elapsed between start of Car 1 and start of Car 2 = 4 minutes.

How long before Car 2 overtakes Car 1? __hour(s).

Answers

Try this solution.
Answer: 11/45 hour (≈15 min.)

Cpm/pert graphically displays the scheduling of tasks required to complete a project.
a. True
b. False

Answers

a is the answer for this question

PLEASE HELP WILL MARK BRAINLIEST

Answers

From the side, area is that of a rectangle added to a trapezoid or triangle, depending on how you slice it
.. rectangle + trapezoid = (4 ft)*(24 ft) +(4 ft +8 ft)*(16 ft)/2 = 192 ft^2
.. rectangle + triangle = (4 ft)*(40 ft) +(1/2)*(4 ft)*(16 ft) = 192 ft^2

The side area is multiplied by the width to find the volume.
.. V = (192 ft^2)*(20 ft) = 3840 ft^3 . . . . . . maximum water volume

_____
That's a pint or so more than 28,725 gallons.

Let p: x = 4 Let q: y = −2 Which represents "If x = 4, then y = −2”? p ∨ q p ∧ q p → q p ↔ q

Answers

The answer would be p → q.
Have a brainy day!

Answer:

C. p → q

Step-by-step explanation:

We are given that,

'p' is represented by 'x = 4' and 'q' is represented by 'y = -2'.

That is, we have,

p: x = 4

q: y = -2

The given statement is, 'If x = 4, then y = -2'.

This means that whenever x = 4, then y = -2.

That is, 'x = 4 implies y = -2'.

Thus, it will be represented by p → q.

A runner ran 2/3 of a 5 kilometer race in 21 minutes. They ran the entire race at a constant speed.

a. How long did it take to run the entire race?

b. How many minutes did it take to run 1 kilometer?

Answers

Answer:

it take 31.53 minutes to run the entire race

it take 6.3 minutes to run the 1 km

Step-by-step explanation:

A runner ran 2/3 of a 5 kilometer race in 21 minutes. They ran the entire race at a constant speed.

[tex]\frac{2}{3} \cdot 5= \frac{10}{3}[/tex]

3.33 km is covered in 21 minutes

So 5 km is covered in [tex]\frac{5 \cdot 21}{3.33}=31.53[/tex]minutes

it take 31.53 minutes to run the entire race

[tex] \frac{10}{3}[/tex] km is covered in 21 minutes

1 km is covered in [tex]\frac{21}{\frac{10}{3} } =6.3[/tex]

It takes to run the entire race is 31 minutes and 30 seconds and it takes to run 1 kilometer is 6 minutes and 18 seconds.

What is speed?

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

[tex]\rm speed = \dfrac{distance}{time}[/tex]

A runner ran 2/3 of a 5 kilometers race in 21 minutes. They ran the entire race at a constant speed.

2/3 of 5 km is given as x

[tex]x = \dfrac{2}{3}* 5 = \dfrac{10}{3}[/tex]

Then the speed will be

[tex]\rm speed = \dfrac{\frac{10}{3}}{21} = \dfrac{10}{3*21} = \dfrac{10}{63}[/tex]

a. It takes to run the entire race will be

[tex]\rm Time = \dfrac{5}{ \frac{10}{63}} = \dfrac{63* 5 }{10} =31.5[/tex]

It takes to run the entire race is 31 minutes and 30 seconds.

B. It takes to run 1 kilometer will be

[tex]\rm Time = \dfrac{1}{ \frac{10}{63}} = \dfrac{63* 1}{10} = 6.3[/tex]

It takes to run 1 kilometer is 6 minutes and 18 seconds.

More about the speed link is given below.

https://brainly.com/question/7359669

a rectangular swimming pool is 3 meter wide. The surface area is 30 sq meters...what is the length of the pool?

Answers

The length of the pool is 10.

A bedroom is 15 ft long and 12 ft wide. How much will it cost to carpet the room if carpeting coats $22 per square foot. (1 yd=3 ft)

Answers

You know the cost per square foot of carpet and the dimensions of the bedroom; to find the cost of carpeting the entire room, first determine its area.

A = bh
A = 15(12)
A = 180

The area of the bedroom is 180 square feet. The cost of carpeting the entire bedroom will be the amount of square feet of the bedroom (its area) times the cost per square foot of carpet. Multiply the area by the cost per square foot.

180 × 22 = 3960

It will cost $3,960 to carpet the bedroom.

The number of diagonals in any polygon is whole number. But on the other side the formula of the number of diagonals in any convex polygon is in a fraction form \frac{n(n-3)}{2[tex] . How can you explain this?

Answers

you can explain this by doing n-3 times 2

I think the formula for the number of diagonals of a convex polygon is actually
[tex]N=n(n-1)/2[/tex]
This will always give a result of a whole number because
if n is odd, then n-1 is even, or
if n is even, n-1 must be odd.
So the division by 2 will always give a whole number because there is always an even number in the numerator.

By the way, this number is also solution to the "hand-shake" problem, which is "how many possible handshakes in a group of n people, if everyone shakes hand with everyone else exactly once?" Therefore, again, it is a whole number.

Solve this equation: 3x-1/5-2/9x=124/5
Step 1: Simplify by combining like terms. Which terms can be combined?
A) 3x and -1/5
B) -1/5 and -2/9x
C) 3x and -2/9x

Answers

Answer:

The correct option is C.

Step-by-step explanation:

The given equation is

[tex]3x-\frac{1}{5}-\frac{2}{9}x=\frac{124}{5}[/tex]

If two terms have the same variables having same powers, then they are known as like terms.

In the given equation [tex]3x[/tex] and [tex]-\frac{2}{9}x[/tex] are like terms.

So, when we simplify the given equation by combining like terms. we need to combined [tex]3x[/tex] and [tex]-\frac{2}{9}x[/tex] .

Therefore the correct option is C.

The solution to the equation is approximately x = 45.48.

To solve the equation 3x - 1/5 - 2/9x = 124/5, to combine like terms. Like terms are terms that have the same variable and exponent.

The terms in the equation are:

3x (coefficient is 3, and the variable is x)

-1/5 (coefficient is -1/5)

-2/9x (coefficient is -2/9, and the variable is x)

Now, let's identify the like terms that combined:

C) 3x and -2/9x

The terms 3x and -2/9x both have the variable x, so they are like terms and can be combined.

Step 1: Combine the like terms:

3x - 2/9x = (3 - 2/9)x = (27/9 - 2/9)x = (25/9)x

Now, after combining the like terms, the equation becomes:

(25/9)x - 1/5 = 124/5

Step 2: Isolate x on one side of the equation. To do this, we can first get rid of the fraction by multiplying the entire equation by the least common multiple (LCM) of the denominators, which is 45 (LCM of 9 and 5):

45 × [(25/9)x - 1/5] = 45 × (124/5)

This simplifies to:

25x - 9 = 1128

Step 3: Now, isolate x by moving the constant term (-9) to the other side of the equation:

25x = 1128 + 9

25x = 1137

Step 4: Finally, divide by 25 to solve for x:

x = 1137 / 25

x ≈ 45.48

To know more about equation here

https://brainly.com/question/10724260

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what function is vertically stretched by a factor of 3 and translated 4 units right from the parent function
A. log_(5) (3x+4)
B. 3log_(5) (x-4)
C. 3(5^x+4)
D. 5^3x-4

Answers

Final answer:

The correct function is B, 3log_5(x-4), which represents a logarithmic function that is vertically stretched by a factor of 3 and translated 4 units to the right.

Explanation:

The student is asking about transformations of a parent function, specifically a vertical stretch and a horizontal translation. When a function is vertically stretched by a factor of 3, this involves multiplying the function by 3. A translation of 4 units to the right would mean adjusting the input variable x by subtracting 4. Considering the options given, option B, 3log5(x-4), is the correct answer because it represents a function that has been vertically stretched by a factor of 3 and horizontally translated 4 units to the right from its parent function log5x.

You are making lemonade for your lemonade stand. Each liter of lemonade you make uses 3.5 tablespoons of lemonade powder, and you have 14 tablespoons of lemonade powder. Can you make 5 liters of lemonade?

Answers

You can only make 4 liters of lemonade. So that means no.

No you can't make five because of the answer being 4 when you divide 14 by 3.5

A snail crawls at a pace of 3 cm a minute. What is the snail Pace in feet per hours?

Answers

there are 30 centimeters in a foot.
and there is 60 minutes in an hour.

3 * 60 = 80
80 / 30 = 2.666666666 feet

The snail travels about two feet per hour.

Answer: 2

An open area at a local high school is in the shape of a quadrilateral. two sidewalks crisscross this open area as diagonal of the quadrilateral. If the walkways cross at their midpoints and the walkways are equal in length, what is the shape of the open area?

a rectangle
a rhombus
a parallelogram
a trapezoid

Answers

The quadrilateral must be a rectangle.

Based on the properties of quadrilaterals, if the diagonals are congruent and bisect each other, it is a rectangle.

A wall map has a scale of 128 miles = 6 inches. The distance between Springfield and Lakeview is 2 feet on the map. What is the actual distance between Springfield and Lakeview? Question 4 options: 42.7 miles 1.13 miles 512 miles 384 miles

Answers

To find the actual distance you will convert the 2 feet to inches because the scale is given in miles to inches.

2 feet = 24 inches

128 miles/6 inches is the scale.

I would create an equivalent ratio using this scale and the 24 inches.

128 miles/6 inches=x miles/24 inches

To go from 6 inches to 24 inches, you will need 4 groups of 6 inches.

You would also need 4 groups of 128 miles.

4 x 128 = 512 miles

The distance between these 2 towns is 512 miles.

Identify the quadratic term in the function, f(x)=2x^2-3x+5

Answers

Answer: 2x^2

The three terms are
2x^2
-3x
5
as they are separated by a plus sign. You can think of it as 2x^2 + (-3x) + 5 if you want. The quadratic term is the term with the exponent of 2

Older Orchards need more hives per acre Caleb has decided to place 6 hives for every 2 acres on an older peach orchard Zeke one of Caleb workers delivery 10 hives to a 30 acre peach orchard did Zeke follow Calebs decision.how does the table prove your answer.

Don't do a table

Answers

Zeneca did not follow the directions. In order to follow Caleb's directions, Zelda would need to bring in 6 hives for every 2 acres of peaches.

If there are 30 acres, this means he would 15 groups of 6 hives (90 hives). He only brought 10.

Please see picture for work.

You can use a calculator for this question.
Greg builds a new pond which has a volume of 7.35 m3.
It is 4.2 m long and 50 cm deep.
What is the width of the pond? m

There will be a circular patio with a diameter of 7 metres.
Greg is going to put a tiled edge around the patio.
What is the circumference of the patio? m
Circumference of a circle = 2πr

Use π = 3.14

Answers

1) Width = 7.35/2.1 = 3.5 m

2) C = 7pi = 21.98 m

don't know soz pallllllll

What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (2, 5)?

y + 5 = x + 2
y − 2 = x − 5
y − 5 = −(x − 2)
y + 2 = −(x + 5)

Answers

We are given point (2,5).

We need to find the equation of line perpendicular to the given line and passes through the point (2, 5).

We know point-slope form :

y-y1 = m(x-x1).

Plugging values of (x1,y1) = (2,5) in above slope-intercept form, we get

y - 5 = m(x-2).

Which matches 3rd option y − 5 = −(x − 2).

So, the correct option is y − 5 = −(x − 2).

Answer:

The answer is C.

Step-by-step explanation:

The world's smallest gecko is 3/4 inch long. An adult male Western Banded Gecko is 7 1/3 times as long. How long is an adult male Western Banded Gecko

Answers

Hey there!

To solve this problem, you can multiply the numbers 3/4 and 7 1/3 since it is times as long as the world's smallest gecko . . .

3/4 = 3/4

7 1/3 = 22/3

3 x 22 = 66

4 x 3 = 12

Simplifying 66/12 . . .

66/12 = 5 1/2 <-------

An adult male Western Banded Gecko is 5 1/2 inches long.

Hope this helps you.
Have a great day!

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