The number of years it will take for ​$510 to grow to ​$1,010.18 at 5 percent compounded annually is ____

Answers

Answer 1

Answer:

13.66 years

Step-by-step explanation:

Given data

P=$510

A=​$1,010.18

R=5%

t= ln(A/P)/r

susbstitute

t= ln(1,010.18/510)/0.05

t=ln1.980/0.05

t= 0.683/0.05

t= 13.66

Hence the time is 13.66 years


Related Questions

find the slope of the line

Answers

Answer:

Number 7 is 3/4 and 8 is 4/-3

Step-by-step explanation:You start at the first point and count up to the same line, then count to the left or right (whichever one it is) and thats the slope. slope is always rise over run

Number 7 is 3/4 and 8 is 4/-3

1) Divide £10 into the ratio 2 : 3

Answers

Answer:

£4 and £6

Step-by-step explanation:

Let the common multiplier of the given ratios be x.

So, 2x and 3x are the two parts of £10.

Hence,

2x + 3x = 10

5x = 10

x = 10/5

x = 2

2x = 2*2 = 4

3x = 3*2 = 6

Hence, the two parts of £10 are £4 and £6.

please help me !!!!!​

Answers

Answer:

61 feet

Step-by-step explanation:

We can use the pythagorean theorem to solve this answer (a^2 + b ^2 = c^2, c= longest length)

50^2 + 35^2 = 61.03.

Rounded to the nearest whole number, the answer is D.

Answer:

C

Step-by-step explanation:

It's a right triangle so you can use a squared +b squared =c squared

a and b are the legs of the triangle which in this case are 50 and 25 feet.

Plug them into the equation:

50^2+25^2=c^2

50 squared = 2,500

25 squared = 625

2,500 + 625= 3,125

so c squared is 3,125. To get c you need the square root which is ~55 feet

what is the slope of -7,2 and -7,4

Answers

Answer:

The slope is undefined

Step-by-step explanation:

We can find the slope using

m = ( y2-y1)/( x2-x1)

    = (4-2)/( -7 -  -7)

    = (4-2)/( -7 +7)

   = 2 / 0

When we divide by 0, the result is undefined

The slope is undefined

Answer:

Undefined

Step-by-step explanation:

Since there is two points we can use (-7,2) and (-7,4) to find the slope

Slope formula for two points:

y2-y1/x2-x1

4-2/-7+7

Which is

2/0

Since 2/0 is not possible the answer will be undefined

Hope this helps!

Z-12=4

what is Z worth?

Answers

Answer:

Z=16

Step-by-step explanation:

just add 12 to both sides so you are left with only Z on one side

Answer:

=16

Step-by-step explanation:

Simplifying

z + -12 = 4

Reorder the terms:

-12 + z = 4

Solving

-12 + z = 4

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '12' to each side of the equation.

-12 + 12 + z = 4 + 12

Combine like terms: -12 + 12 = 0

0 + z = 4 + 12

z = 4 + 12

Combine like terms: 4 + 12 = 16

z = 16

Simplifying

z = 16

I am equivalent to 5/6
. The sum of my numerator and my denominator is 44. The sum of the digits in my denominator is 6.

Answers

Answer:

20/24

Step-by-step explanation:

If you simplify, you get 5/6.

Solve the following equation for x.
11x– 1 = -89

Answers

Answer:

x = -8

Step-by-step explanation:

11x– 1 = -89

Add 1 to each side

11x– 1+1 = -89+1

11x = -88

Divide each side by 11

11x/11 = -88/11

x = -8

what is the length of side a round to the nearest tenth of an inch.

Answers

Answer:

14.4

Step-by-step explanation:

We can use the pythagorean theorem (a^2 + b^2 = c^2, c being the longest length) to solve this answer.

16^2 - 7^2 = a

256 - 49 = 207.

the square root of 207 is 14.3874...

Rounding to the nearest tenth makes the answer 14.4

An eye doctor charges an exam fee, plus a charge for the number of boxes of contact lenses purchased.
Lindsey had an exam and ordered 2 boxes of contact lenses for $112.97
Josh had an exam and ordered 6 boxes of contact lenses for $272.93
How much is the exam fee?

A$32.99
B$39.99
C$45.49
D$56.49

Answers

Answer:

to get the exam fee

$112•97 ÷ 2

45•49

$272•93 ÷ 3

56•49

Find the product. (2f – 1)^2 =​

Answers

Answer: 4f^2 -4f+1

Step-by-step explanation:

2f-1)^2

This is equal to

(2f-1) * (2f-1)

FOIL

first: 2f*2f = 4f^2

outer: 2f*-1 = -2f

inner: -1*2f = -2f

Last = -1*-1 = 1

Add them together: = 4f^2 -2f-2f+1

Combine like terms 4f^2 -4f+1

Answer:

(2f-1)(2f-1)

2f^2-2f-2f+1

2f^2-4f+1

i need to find the 9th term of this sequence

Answers

9514 1404 393

Answer:

  26,244

Step-by-step explanation:

The sequence is geometric with a common ratio of -3. The general term is ...

  an = (a1)r^(n-1)

The first term is 4, so we have ...

  an = 4·(-3)^(n-1)

For n=9, we find the 9th term to be ...

  a9 = 4·(-3)^(9-1) = 4·3^8

  a9 = 26,244

_____

Additional comment

When -3 is raised to an even power, the sign of the product is positive, the same as 3 raised to that power.

The Twix factory is producing Left and Right Twix, wrapping them separately, and then packaging them into a variety of bags. Each bag contains 25 pieces of candy. The number of Right Twix is three more than the number of Left Twix.

Write a system of equations that represents the situation.

Then solve the system of equations, SHOWING ALL YOUR WORK.

Answers

Answer:

Candies

l = 25b                                       r = b(25 + 3)

Example: b = 10 bags

                l = 25 x 10                                 r = 10(25 + 3)

                l = 250 candies                         r = 10 x 28 = 280 candies

Bags

r = l + 3

Examples:     r = 15 bags                    l = 15 bags

                      15 = l + 3                         r = 15 + 3

                      15 - 3 = l + 3 - 3              r = 18 bags

                      12 bags = l              

FIRST TO GET RIGHT GETS BRAINLIEST.

Answers

Answer:

770

Step-by-step explanation:

So start by adding 140 + 70 and then you get 210 and then so you muliply 70*11 and you get 770.      :D

26 POINTS !! PLEASE HELP (no fake answers please !)

Answers

The answer is 13 because when you plug it all in you get the answer 24(1/2) is 12 and 2(7) is 14 add them together you get 26 now for the bottom 1/4(8) is 2 so 26 over 2 is 13 100% correct promise

Answer:

13

Step-by-step explanation:

SOLVE RIGHT NOW PLEASE. Determine the solution to the system of equations below by using the ELIMINATION METHOD.
6x+5y=39

3x+5y=27

Answers

Answer: x=4 and y=3

Step-by-step explanation:

We start eliminating the same numbers with the same variable. So we take out 5y on both equation. We then subract 3x to 6x and we do the same to the right side. We end up having 3x=12 and then we divide 12/3=4. We plug 4 on the x values in one of the equation to find out the y value on that equation. You end up with y=3 and then plug that in the same equation on both to see if its right. Finally after that its correct.

what is the vertex of y=-x^2+12x-31?????

Answers

ExplanationFormulas for finding the vertex.

[tex]h = - \frac{b}{2a} \\ k = \frac{4ac - {b}^{2} }{4a} [/tex]

Vertex Form

[tex]y = a{(x - h)}^{2} + k [/tex]

Where the a-term determines how wide, narrow, upward or downward the graph is.

The h-term determines the horizontal shift of graph. (x-axis)

The k-term determines the vertical shift of graph. (y-axis)

The vertex of graph is at (h,k). We can find the vertex by using the given formulas.

Find the vertex

From the equation, the coefficients are:

[tex] \begin{cases} a = - 1 \\ b = 12 \\ c = - 31 \end{cases}[/tex]

Substitute these values in the formulas.

Find the value of h

[tex]h = - \frac{12}{2( - 1)} \\ h = - \frac{12}{ - 2} \\ h = - \frac{ - 6}{1} \longrightarrow - ( - 6) = 6 \\ h = 6[/tex]

Hence, the value of h is 6.

Find the value of k

[tex]k = \frac{4( - 1)( - 31) - {(12)}^{2} }{4( - 1)} \\ k = \frac{124 - 144}{ - 4} \\ k = \frac{ - 20}{ - 4} \longrightarrow \frac{5}{1} = 5 \\ k = 5[/tex]

Hence, the value of k is 5. Then we substitute both value of h and k in the vertex form

Rewrite the equation of vertex form by substituting the value of h and k

[tex]y = a {(x - h)}^{2} + k \\ y = - 1 {(x - 6)}^{2} + 5 \\ y = - {(x - 6)}^{2} + 5[/tex]

Answer

Since the vertex is at (h,k). Therefore the value of h is 6 and k is 5. Therefore:

[tex] \large{(h, k)=(6, 5)}[/tex]

(6,5) is the vertex.

please help me =
solve 7+x/3 = 2x-5

Answers

Answer:

x = [tex]\frac{22}{5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{7+x}{3}[/tex] = 2x - 5 ( multiply both sides by 3 to clear the fraction )

7 + x = 3(2x - 5) ← distribute

7 + x = 6x - 15 ( subtract x from both sides )

7 = 5x - 15 ( add 15 to both sides )

22 = 5x ( divide both sides by 5 )

[tex]\frac{22}{5}[/tex] = x ( x = 4.4 )

I NEED HELP ASAPPP
Fill in the blanks with the correct terms.
a
a) The Pythagorean Theorem works with
triangles
b) in the Pythagorean Theorem equation i a? +62)a' and 'b' represent the
) in the Pythagorean Theorem equation, 'c' stands for the
d) The opposite operation of raising a number to the second power (34) is d
left
hypotenuses
smallest leg
dividing by 2
right
legs
largest leg
multiplying by 2
equilateral
sides
hypotenuse
taking the square root
special
right angles
right angle
subtracting 2

Answers

Answer:

A) right. B) legs. C) hypotenuse. D) taking the square root.

Step-by-step explanation:

I am very familiar with the Pythagorean Theorem.

you can verify my answers by reviewing the Pythagorean theorem

plz mark me brainliest. ;)

Maximum and Minimum Values of General Quadratic Functions

1. By expressing y = 2x^2 + 4x + 17 in the form y = a(x + b)^2 + C, where a, b, and c are constants, state the minimum value of y and the value of x at which this occurs. Hence, sketch the curve y = 2x^2 + 4x + 17
x =
y =​

Answers

Answer:

x=-1

y=15

Step-by-step explanation:

This works because completing the square is essentially demonstrating what g(x)  - where g(x) in this case = x^2 - would have to be translated by to give the function you have.

So by completing the square you have shown that the function you've been given has been shifted to the left by -1, stretched by a factor of 2 along the y axis and shifted up by 15.

Hakeem left his house and drove to the store. He stopped and went inside. From there, he drove in the same direction until he got to the bank. He stopped and went inside the bank. Then he drove home. The graph below shows the number of blocks away from home Hakeem is xx minutes after he left his house, until he got back home.

Answers

Answer:

where is the pic of the graph?

1. A café menu has the following choices of cheese and toppings for scrambled
eggs
Scrambled Eggs
Cheeses and Toppings
Cheeses Toppings
Cheddar Bacon
Swiss Mushrooms
Onions
Tomatoes
Which list shows all the different combinations of 1 cheese and 1 topping
that could be used with scrambled eggs?

Answers

Answer:

the top answer in your picture is the right answer

Step-by-step explanation:

What is the constant in the
expression below?
15 – 4b
A
B
С

Answers

Answer:

15 is the constant

Step-by-step explanation:

Does not have a variable next to it which means it remains a constant

4.3x - 8.1 + 0.2x -17.5

Answers

Answer:

4.5x-25.6

Step-by-step explanation:

Hey there!

4.3x – 8.1 + 0.2x – 17.5

COMBINE your LIKE TERMS

(4.3x + 0.2x) + (–8.1 – 17.5)

4.3x + 0.2x = 4.5x

–8.1 – 17.5 = –25.6

Answer: 4.5x – 25.6 ☑️

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

An equation is shown below:

5(2x - 8) + 15 = -15

Write the steps you will use to solve the equation and explain each step. i need the steps plzzzz

Answers

Step-by-step explanation:

10x-40+15=-15

10x=-15-15+40

10x=10

x=1

Answer is 1

Customers can download books from an online bookstore for $8 each after paying $150 for an e-book reader. The total amount of money a customer spends on x books and the e-book reader can found using f(x)=8x+150.
What is the range of f in this situation?
A.All integers greater than or greater to 0
B.All real numbers greater than or equal to 150
C.(150,158,166,174,...)
D.(158,159,160,161,...)

Answers

Answer:C

Step-by-step explanation: (150,158,166,174,...)

Answer:

c

Step-by-step explanation:

it just is

4(3x – 1) – 2(6 + 2x)

Answers

Answer:

12x - 12

Step-by-step explanation:

4(3x)= 12x

-2 x 6 = -12

And since you are taking away 12 it works.

( Have a nice day hope this helps)

Are you simplifying or factoring

Because the graph below is misleading, which magazine appears to have about four times the circulation of circuitry today?
a. American Ampersand
b. Waffle all World
c. Fossil Week
d. None of them​

Answers

Answer:

A. American Ampersand

Step-by-step explanation:

Question is asking for what appears to be four times the circulation and American Ampersand appears to be four times the circulation.

Since the graph below is misleading, a magazine which appears to have about four times the circulation of circuitry today is: A. American Ampersand.

What is a graph?

A graph can be defined as a type of chart that is typically used for the graphical representation of data such as magazine circulation in a country, by using both the horizontal and vertical lines, which are called x-axis and y-axis respectively.

By critically observing the misleading graph above, we can deduce that American Ampersand is a magazine which appears to have about four times the circulation of circuitry today because its bar is the smallest among others.

Read more on graphs here: brainly.com/question/25875680

#SPJ2

Someone help please and make sure the answer is right plz :)

Answers

The angles are corresponding, and the lines are parallel. This means the angles are equal. What can you add to 53 to get 50°? -3.
The answer is -3 bc -3 + 53 = 50

A square pyramid is sliced in half, parallel to the base.
Which of the following statements describes the cross-section?

A triangle with the same height as the pyramid

A square that is smaller than the base

A square that is congruent to the base

A trapezoid that is shorter than the pyramid

Answers

Answer:

I think the answer is a because it not getting any smaller

Answer:

I think a trapezoid that is shorter than the pyramid because it's parallel to the base which automatically know it's not the same height because there's a certain length thats cut off.

Step-by-step explanation:

Rysha ran a 5k and finished in 34 minutes. How many minutes did it take for her to run each kilometer?

Answers

Answer:

6 minutes, and 8 seconds

Step-by-step explanation:

You can simply get this answer by dividing .34 by 5.;)

Other Questions
In an ionic bond, how does a sulfur atom achieve an octet of electrons?By gaining 2 electronsBy gaining 6 electronsBy losing 2 electronsBy losing 6 electrons 6000 is divided between Adam, Ben andChris in the ratio 1:3:4. How much does Ben receive? Which natural hazards are most likely to affect Florida, due to its geography? Check all that apply. PLS HELP! I WILL GIVE BEST ANSWER BRAINLIEST! 15 POINT EACH! PLS HELP! Write in standard form50000 Why did the British Parliament create the English Bill of Rights?a. to approve a pay raise for representativesb. to establish rights for womenc. to strengthen the rights of citizensd. to end the tyranny of the court system I Need Help Giving Out 10 points! Plz Help At Panera one bagel costs $0.65. Thirteen bagels cost $7.90. Is the cost of bagels proportional to the number of bagels? To be able to explain and defend their ideas objectively to others, individuals usually need to have effective __________ skills Please help!Anyone know what this is? What is the reaction force to a foot pushing down on the floor?a. The foot going through the floorb. The floor breaking to the foot c. The floor pushing back against the foot A symbol is an object, action, or event that represents something or that creates a range of associations beyond itself. In literary works a symbol can express an idea, clarify meaning, or enlarge literal meaning. Focusing on one symbol in Frankenstein, write an essay analyzing how that complex symbol functions in the work and what it reveals about the characters or themes of the work as a whole. Area as a sum:Area as a Product:I need the are as a sum Nd a product Financial statement analysis: Multiple Choice is primarily used to identify account values that meet the normal standards. is limited to internal use by a firm's managers. provides useful information that can serve as a basis for forecasting future performance. provides useful information to shareholders but not to debt holders. is enhanced by comparing results to those of a firm's peers but not by comparing results to prior periods. Find an equation for the nth term of the arithmetic sequence.8,6,4,2, a narrator is telling the story but the events are seen most likely through the point of view of what what is a central idea of The U.S. Interstate System Here is the answer to Edhesive 7.5 code practicedef GPAcalc(grade, weight): grades = {"A": 4, "B": 3, "C": 2, "D": 1, "F": 0} if weight == 0: return grades[grade] else: return grades[grade] + 1def Main(Random): Print ("hi")classes = int(input("How many Classes are you taking? "))total = 0for x in range(classes): letter = input("Enter your Letter Grade: ") user_weight = int(input("Is it weighted? (1 = yes 0 = no) ")) grade = GPAcalc(letter, user_weight) total += grade print("Your GPA score is: ", grade)print("Your weighted GPA is a",(total/classes)) Write a proportion to find how many points a student needs to score on the test to get the given score. Test worth 50 points; test score of 84% Boots are now $33 with 40% off. What is the original price? PLZ HELP MATH HELP HELP I NEED IT. DUE IN 5 MINUTES PLZ