An initial investment of $2,000 earns 7% interest compounded continuously. What will the investment be worth in 17 years? (Round your answer to the nearest cent.)

Answers

Answer 1

Answer:

Future value, A = $6,317.6

Step-by-step explanation:

Given the following data;

Principal = $2,000

Interest rate = 7%

Time = 17 years

To find the future value, we would use the compound interest formula;

[tex] A = P(1 + \frac{r}{100})^{t}[/tex]

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

t is the number of years for the compound interest.

Substituting into the equation, we have;

[tex] A = 2000*(1 + \frac{7}{100})^{17}[/tex]

[tex] A = 2000*(1 + 0.07)^{17}[/tex]

[tex] A = 2000*(1.07)^{17}[/tex]

[tex] A = 2000 * 3.1588 [/tex]

Future value, A = $6,317.6


Related Questions

What is the area of this figure? (I give brainliest!)

Answers

Answer:

726

Step-by-step explanation:

(22*25)+(16*11)=

550+176=

726

Find the percent of change. Round to the nearest tenth of a percent if necessary.


1/4 to 1/2

Answers

9514 1404 393

Answer:

  100%

Step-by-step explanation:

The percentage change can be computed from ...

  pct change = ((new value)/(old value) -1) × 100%

  = ((1/2)/(1/4) -1) × 100%

  = (2 -1) × 100%

  = 100%

The increase by 1/4 from 1/4 to 1/2 is an increase of 100%.

Solve the Following inequality by choosing the Possible range of Values that make the Statement True

x + 3 ≥ 13

Answers

Answer:

x has to be greater than or equal to 10 (x ≥ 10)

Step-by-step explanation:

x + 3 ≥ 13

x ≥ 13 - 3

x ≥ 10

helppppppppppppppppppppppppppppp

Answers

Answer:

3) Not equivalent

4) Equivalent multiply by 2

5) Equivalent multiply by 2

pls help i dont have much time whoever answers correctly ill mark brainliest

What is the area of the trapezoid shown below?

Answers

Answer:

114 it think but maybe not

Step-by-step explanation:

a

Answer : 78

Explanation: Bottom of triangle is 9. Use area of triangle formula to find area of triangle (54). Find area of rectangle (24). Add.

PLZ HELP AND HURRY!!!!

Answers

Answer:

Complementary

Step-by-step explanation:

adding up to 90 degrees

So theres an equation here....
p<_ 7.5
Omar can buy at least_____pairs of socks.
Options:-
1. He can buy at least 7 socks
2. He can buy at most 7 socks
3. He can buy at least 8 socks.
4. He can buy at most 8 socks
ALSO I NEED THIS ASP PLUS BRAINLIEST
10 points tho bc ppl steal points and dont answer :/

Answers

Answer:he can buy at least 7 pairs of socks

Step-by-step explanation:

The business college computing center wants to determine the proportion of business students who have laptop computers. If the proportion differs from 25%, then the lab will modify a proposed enlargement of its facilities. Suppose a hypothesis test is conducted and the test statistic is 2.4. Find the p-value for a two-tailed test of hypothesis.

Answers

Answer:

The p-value for a two-tailed test of hypothesis is 0.0164.

Step-by-step explanation:

The test statistic is 2.4. Find the p-value for a two-tailed test of hypothesis.

This means that we look at the z-table, and we have to find:

[tex]P(|Z| > 2.4)[/tex]

Which is the pvalue of Z = -2.4 multiplied by 2, or 2 multiplied by 1 subtracted by the pvalue of Z = 2.4.

Looking at the z-table, z = 2.4 has a pvalue of 0.9918

1 - 0.9918 = 0.0082

2*0.0082 = 0.0164

The p-value for a two-tailed test of hypothesis is 0.0164.

A family buys 4 airline tickets online. The family buys travel insurance that costs ​$19 per ticket. The total cost is ​$752. Let x represent the price of one ticket. Write an equation for the total cost. Then find the price of one ticket.

Answers

Answer : 169

Step-by-step explanation:

4(x+19) = 752

4x +76 = 752

4x = 752 - 76

x = 676/4

x=169

Hope this helps ;)

Please mark me the BRAINLIEST

which of the following is a polynomial?

Answers

Answer:

D.

Step by step explanation:

In mathematics, a polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

(Thanks to ueknfiowlmneuYIBKt for helping! His profile is at https://brainly.com/app/profile/39601187)

Hope this helps!

Question 6
Simplify the following expression.
-3 + 4a - 3b + 2) - 5(2-a + 3b)​

Answers

This expression simplified would be 9a-18b-11
9a-18b-11....................

Please help me

Adjust to compatible numbers that count by 50s, and then subtract to
estimate the difference.

301 - 52 =

Answers

Answer:

249

Step-by-step explanation:

301 - 52 = 249

If anyone knows the answer, could you help LOL


What is the equation of the line that passes through the point (4, -7) and has a slope of -1/2 ?

Answers

Answer:

y = -1/2x - 5

Step-by-step explanation:

To solve this (and questions like it), use the formula for the equation of a line:

y=mx+c, where y and x are any given co-ordinates, m is the slope, and c is the y-intercept.

Since we know that the slope is -1/2, we can plug this into our equation to replace m:

y=mx+c

y=-1/2x+c

To find c, we plug in our co-ordinate (4,-7), so that c is the only unknown, and we can solve for it:

y=-1/2x+c

-7=-1/2(4)+c

-7=-2+c

c=-5

Now that we know c, we can finish off our equation:

y = -1/2x + c

y = -1/2x - 5

Which expression is equivalent to ( + )?

Answers

Answer:

No entiendo que es lo que hay qué hacer

3. What is the axis of symmetry of the graph of function f(x) = x² - 6x – 1

Answers

Answer:

guihnijiop;kl;lkm

Step-by-step explanation:

Answer:

A parabola has an axis of symmetry at x = 3 if the x-value of the vertex is 3.

f(x) = x^2 + 3x + 1 = x^2 + 3x + 9/4 - 5/4 = (x + 3/2)^2 - 5/4 => vertex = (-3/2, -5/4)

f(x) = x^2 - 3x - 3 = x^2 - 3x + 9/4 - 21/4 = (x - 3/2)^2 - 21/4 => vertex = (3/2, -21/4)

f(x) = x^2 + 6x + 3 = x^2 + 6x + 9 - 6 = (x + 3)^2 - 6 => vertex = (-3, -6)

f(x) = x^2 - 6x - 1 = x^2 - 6x + 9 - 10 = (x - 3)^2 - 10 => vertex = (3, -10)

Therefore, f(x) = x^2 - 6x - 1 has an axis of symmetry at x = 3.

Step-by-step explanation:

plz mark me as brainlist

Cylinder A has radius r and height h as shown in the diagram. Cylinder B has radius 2r and height 2h. How many times greater is the surface area of Cylinder B than the surface area of Cylinder A?
I will ONLY give you a brainliest of you answer this questions CORRECTLY!

Answers

Answer:

Therefore, Cylinder B's surface area is four times greater than Cylinder A's surface area.

Step-by-step explanation:

Surface area of a cylinder = 2πrh+2πr² = 2π(rh+r²)

Cylinder A = 2π(rh+r²)

Cylinder B = 2π((2r)(2h)+(2r)²) = 2π(4rh+4r²)=2π(4(rh+r²))

To find how many times greater Cylinder B's surface area is than Cylinder A's surface area, divide:

[tex]\frac{Cylinder B}{Cylinder A}[/tex]

=2π(4(rh+r²))/2π(rh+r²)

(divide top and bottom by 2π)

=4(rh+r²)/(rh+r²)

(divide top and bottom by (rh+r²))

=4

Therefore, Cylinder B's surface area is four times greater than Cylinder A's surface area.

Nicholas is currently in eighth grade and intends to attend a state college when he finishes high school. Nicholas’s parents currently have some money invested in mutual funds, but would like to invest this money in a more secure investment now to pay for college in 4 years. If they will need $25,000, how much do Nicholas’s parents have to invest now in a 48month CD that has a rate of 4.59% compounded monthly?

Answers

Answer: he has 10 monthly

Step-by-step explanation:

see from the question

71 is 10% of what number?

52 is 97% of what Number?

Explain steps.

Answers

Answer:

71 is 10% of 710

52 is 97% of 5200/97

Step-by-step explanation:

Let’s start with 71 is 10% of what number.

basically, what this is saying, is that 71 = 10% times and unknown valu. We can set this as x.

so, 71=0.1x

divide on both sides,

710=x

now the second one.

repeat the same process.

52=0.97x

divide

5200/97 =x

Does anyone know this please help

Answers

Answer:

b.12/25

c.4/15

d.8/15

e.6/12

2a.15/24=5/8

b.20/40=1/2

9(3y-5) expanded

HELPP

Answers

The answer you are looking for is 27y - 45

Answer:

x=9(3y-5)

Step-by-step explanation:

If the energy required to harvest and refine an energy resource is 10,000 megawatts (MW) and the energy actually obtained from using the fuel is 12,400 MW, what is the EROEI of this resource?

Answers

Answer:

22,4000 answer i tinking


Choose the fraction pair that is equivalent.
16/64 and 1/4
8/9 and 9/8
5/8 and 25/48
3/6 and 1/3

Answers

Answer:

16/64 and 1/4

Step-by-step explanation:

1/4 x 16/16 = 16/64

1 x 16 / 4 x 16 = 16/64

16/64 = 16/64

16/64 and 1/4!! hope this helps

Is that the answer please help no links no links please help

Answers

Answer:

360

Step-by-step explanation:

V= L•W•H/3

10×12×9÷3

On a certain hot summer's day, 321 people used the public swimming pool. The daily prices are $1.75 for children and $2.00 for adults. The receipts for admission totaled $634.25. How many children and how many adults swam at the public pool that day?​

Answers

Answer:

31 children and 290 adults

Step-by-step explanation:

Let a = number of adults and c = number of children.

a + c = 321

2a + 1.75c = 634.25

Multiply both sides of the the first equation by -2 and add it to the second equation.

         -2a -     2c = -642

(+)       2a + 1.75c = 634.25

--------------------------------------

                 -0.25c = -7.75

Divide both sides by -0.25

c = 31

Use the first equation to find a.

a + c = 321

Substitute 31 for c.

a + 31 = 321

Subtract 31 from both sides.

a = 290

Answer: 31 children and 290 adults

120 children and 388 adults bought tickets for the swimming pool
Explanation:
Create two simultanous equations:
Let c stand for the number of children that bought a ticket, and a stand for the number of adults that bought a ticket, you get your first equation, being
c
+
a
=
508
then, you now create a second equation for the prices of the tickets.
(price of childrens tickets)(number of children that swam)+(price of adults tickets)(number of adults that swam) = total money collected
so:
1.75
c
+
2.25
a
=
1083.00

now we still know, that
a
=
508

c

so we can substitute it into the second formula
1.75
c
+
2.25
(
508

c
)
=
1083

now its just simple algebra
1.75
c
+
1143

2.25
c
=
1083

60
=
0.5
c
so:
c
=
120
now we know, that 120 children went to the swimming pool.
and we still have the formula from before:
a
=
508

c
so
a
=
388

Find the equation of the line that
is parallel to y = 4x + 1 and
contains the point (1, 1).

Answers

Answer:

4x-3

Step-by-step explanation:

Equation of the line that is parallel to y = 4x + 1 and contains the point (1, 1) is y = 4x - 3.

What are equation of a line that is parallel to that line?

Two lines are said to be parallel if they always maintain the same distance apart. If two lines are drawn so that they could extend into infinity without ever meeting each other, these lines are called parallel. Parallel lines are also called Equidistant lines.

Given

Equation of line y = 4x + 1

Point = (1, 1)

Equation of the line that is parallel to y = 4x + 1 is y=kx + b

Here k =4

y = 4x + b and contains the point (1,1)

Substitute the point (1,1) in y= 4x + b

⇒ 1 = 4(1) + b

⇒ 1 - 4 = b

⇒ b = -3

y = 4x + b

⇒ y = 4x - 3

Equation of the line that is parallel to y = 4x + 1 and contains the point (1, 1) is y = 4x - 3.

Find out more information about equation of line here

https://brainly.com/question/402319

#SPJ2

Graph the line.
Y= 4/3 x

Answers

Answer:

hope this helps :)

Step-by-step explanation:

Mr. Jamison bought a toaster oven that was originally priced at
$89. He received a 20% discount. What is the sale price of the
toaster oven?
please help

Answers

$89(0.20) = $17.8
$89-$17.8 = $71.20

Answer: $71.20

Step-by-step explanation: 20% discount means 20% of the original price is subtracted from the original price, so to find 20% of the original price multiply 89 by 0.2 and you will get 17.8. Subtract the 17.8 from 89 and you get the answer, $71.20!  

Will give BRAINLIEST if you help me out

Answers

The x coordinate P is on is -1.5

2. Find the GCF of: - 4x^2 and 28x^3

Answers

Answer: 4x^2

Step-by-step explanation: Multiply that by -1 to get -4x^2 and multiply by 7x to get 28x^3

Fran has 18 paperback books and 24 hardcover books. What is the ratio of hardcover to paperback books?
WILL GIVE BRAINLIEST
3:4


4:3


3:7


7:3

Answers

The correct answer is 3:4
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