How long would it take for money to double at 11% interest compounded quarterly?

Answers

Answer 1

Answer: Approximately 6.3876 years

When rounding to the nearest whole number, this rounds up to 7 years.

===============================================================

Work Shown:

We'll use the compound interest formula

A = P*(1+r/n)^(n*t)

where,

A = amount of money after t yearsP = initial deposit amount or principalr = interest rate in decimal formn = compounding frequencyt = number of years

In this case, we know that,

A = 2P, since we want the initial amount to double. P can be any positive real number you want and it doesn't affect the answer.r = 0.11 n = 4, since we're compounding 4 times a yeart = unknown, what we want to solve for

So,

A = P*(1+r/n)^(n*t)

2P = P*(1+r/n)^(n*t)

2 = (1+r/n)^(n*t)

2 = (1+0.11/4)^(4*t)

2 = 1.0275^(4t)

Ln(2) = Ln(1.0275^(4t))

Ln(2) = 4t*Ln(1.0275)

4t*Ln(1.0275) = Ln(2)

t = Ln(2)/(4*Ln(1.0275))

t = 6.38758965414661

It takes roughly 6.3876 years for the deposit to double. If you need this to the nearest whole number, then round up to 7. We don't round to 6 because then we would come up short of the goal of doubling the deposit.


Related Questions

Solve using substitution.
y = -9x - 10
y = -2x + 4

Answers

Answer:

1.444444444444444444? I tried

Answer:

X= -2

Y= 8

im not sure if thats the way u needed

Please help ASAP. I am confused

Answers

Answer:

So if ∠X is 70° then ∠Y is most likely going to be 70° as well. So if you take 180° which is a straight line and subtract both of the 70°'s you'd get 40°. This answer seems pretty accurate to me.

Step-by-step explanation:

Hope this helps you out! :)

(If any question s put them below and I'll try my best to answer them)

Perform the indicated operation. Be sure the answer is reduced.

Answers

Answer:

I think the answer is -1/7, the second option

Step-by-step explanation:

8) Na coluna de esquerda, encontram-se nomes de organelas erese, arata
importantes processos fisiológicos Marque a servenda que representa a oreado OPZETA
entre as duas colunas.
Organelas
1 - Ribossomos
2- Retículo
endoplasmático
3-Mitocôndria
4- Lisossomos
5 - Aparelho de Golgi
a) 1A, 2B, 3D, 40.5E
b) 18.2D, 3E, 4A. 50
c) 1C 2E, 34.40.58
d) 10.2B. BA4D.SE​

Answers

a resposta será c. Espero que isso ajude você.

Which ordered pair is a solution of the equation? 5x+2y=12

Answers

Answer:d

Step-by-step explanation:i dont know

HELP 75 POINTS Enzo Drew triangle KLN In enzos triangle Angle K is represented as X degrees the measure of angle L is five times angle K the measure of angle in is 18° less than eight times in angle K which statements must be true about the angle measures of enzos triangle check all that apply

Answers

Answer:

whe are yoooooooooooooou from?

one side of a rectangle is 3 yards longer then twice the other side. if the perimiter is 27 yards, what is the lienghth of the other side

Answers

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

help plz i’ll give extra points

Answers

Answer:

1/1

Step-by-step explanation:

cause i just did it llamo

y=x+5

Using rise over run to get m (the slope), you see that m=1. The y-intercept is at the point (0, 5), so B=5. With the slope-intercept formula, y=Mx+b, you can plug those numbers in to get y=(1)x+5 or y=x+5

the relationship between x and y is proportional. when x is 5 and y is 20. what is x when y is 80?

Answers

Answer:

porpotional relationship is = 0.25

80y=20x

Step-by-step explanation:

20y=5x

80y=20x

80 ÷ 20 = 4
x × 4 = 20

Please helpp! 6th grade work

Answers

Answer:

-43.60F, -37.4F, -17F, 37.3F, 51.8F, 52F !

(also i love wilbur :])

Step-by-step explanation:

Answer:

Coldest to warmest: -43.6 F, -37.4 F, -17. F, 37.3 F, 51.8 F, 52 F.

Step-by-step explanation:

Negative numbers are always less than positive numbers, and in this case the negatives would be the coldest. You want to start by figuring out which negative number has the lowest value, and then going from there. You should end on a positive number being the warmest, so -43.6 would be the coldest and 52 would be the warmest.

A study is conducted to determine the relationship between the number of farm workers and the number of days it takes to harvest a crop, The
data is represented in the scatter plot.
27
24
2
Days to Harvest Crop
10
11
12
3 6 9 12 15 18 21 24 27 303) 36 38 42
Farm Workers
Which statement best describes the data in the scatter plot?
O A. There are six outliers in the scatter plot
OB. There are two distinct clusters in the scatter plot.
O C. The data points indicate no association between the variables,
O D. The data points indicate a negative association between the variables.

Answers

Answer:

its D

Step-by-step explanation:

The correct alternative of the given ones is -

The data points indicate a negative correlation between the variables.

What is scatter plot? What is scatter plot matrix?A scatter plot is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data. If the points are coded, one additional variable can be displayed.A generalized scatter plot matrix offers a range of displays of paired combinations of categorical and quantitative variables. A mosaic plot chart may be used to display two categorical variables. Other plots are used for one categorical and one quantitative variables.There are three types of scatter plots or charts: U-shaped, linear and exponential. These are the three most important ones: positive, negative, or no correlation.

Given is that a study is conducted to determine the relationship between the number of farm workers and the number of days it takes to harvest a crop. The data is represented in the scatter plot.

The correct statement of the given ones -

The data points indicate a negative correlation between the variables.

Therefore, the correct alternative of the given ones is -

The data points indicate a negative correlation between the variables.

To solve more questions on correlation, visit the link below -

brainly.com/question/28898177

#SPJ5

Help with limits will give brainliest

Answers

Answer:

it because it prove the first condition so options c correct

When taking notes from a book, story, or other selection the source should be?
A. simple
B. dependable
C. easy to copy

Answers

Answer:

b

Step-by-step explanation:

Answer:

B. dependable

Step-by-step explanation:

well good luck

Can someone help me with this thingy thing thing

Answers

Answer:

A or D your choice

Step-by-step explanation:

Wind farms are a source of renewable energy found around the world. The power P (in kilowatts) generated by a wind turbine varies directly as the cube of the wind speed v (in meters per second). If a turbine generates 700 kW in a 12 m/s wind, how much power does it generate in a 6 m/s wind?

(The formula for P as a power function of v is P = a ⋅ v3.


A. 88 kW

B. 175 kW

C. 125 kW

D. 1050 kW

Answers

Answer:

New power = 88 Kw (Approx.)

Step-by-step explanation:

Given:

P = a(v³)

Old power p = 700 Kw

Old wind speed v = 12 m/s

Find:

New power when v = 6m/s

Computation:

P = a(v³)

700 = a(12³)

a = 0.4050 m²

New power = a(v³)

New power = (0.4050)(6³)

New power = 87.48

New power = 88 Kw (Approx.)

Which of the following accurately depicts the transformation of y= x^2 to the function shown below? y=2(x-3)^2+5
A. Shift left 3 units, shrink vertically to 1/2 of the original height, then shift up 5 units.
B. Shift right 3 units, stretch vertically by a factor of 2, then shift up 5 units.
C. Shift up 3 units, stretch horizontally by a factor of 2, then shift left 5 units.
D. Shift 5 units right, stretch vertically by a factor of 3, then shift up 2 units.

Answers

Answer:

Which of the following accurately depicts the transformation of y= x^2 to the function shown below? y=2(x-3)^2+5

A. Shift left 3 units, shrink vertically to 1/2 of the original height, then shift up 5 units.

B. Shift right 3 units, stretch vertically by a factor of 2, then shift up 5 units.

C. Shift up 3 units, stretch horizontally by a factor of 2, then shift left 5 units.

D. Shift 5 units right, stretch vertically by a factor of 3, then shift up 2 units.

Step-by-step explanation:

For f(x) = 4x+1 and g(x)= x^2-5, find (f/g) (x).

Answer:

B. Shift right 3 units, stretch vertically by a factor of 2, then shift up 5 units.

Step-by-step explanation:

just took the test

On a local sports​ team, 20% of 50 players are​ left-handed. How many​ left-handed players are on the​ team?

Answers

Answer:

11

Step-by-step explanation:

50 x 0.20 = 11

Answer:

10

Step-by-step explanation:

20 / 100 = 0.20 then you mulity 50 and 0.20. 50 * 20 = 10

• ¿Qué nombre recibe la expresión x2- 324?​

Answers

Answer: bro that is in spanish

Step-by-step explanation:

Write an equation in point-slope form of the line that passes through the points (2,4) and has the slope of 7

Answers

Answer:

y-4=7(x-2)

Step-by-step explanation:

y-y1=m(x-x1)

y-4=7(x-2)

A smartphone has a screen that has a width of x and a height that is 1.8 times the width. The outer dimensions of the phone are shown.





Write an expression for the portion of the phone that is not occupied by the screen. Assume that the phone is rectangular.

Answers

Answer: 4.8x+3

Step-by-step explanation:

The portion of the phone that is not occupied by the screen is 4.9x + 3 cm².

What is Surface Area?

For each three-dimensional geometrical shape, surface area and volume are determined. The area or region that an object's surface occupies is known as its surface area. Volume, on the other hand, refers to how much room an object has. There are numerous shapes and dimensions in geometry, including sphere, cube, cuboid, cone, cylinder, etc. Each form has its own volume and surface area. Nevertheless, we can only estimate the area that two-dimensional figures like a square, circle, rectangle, triangle, etc. cover; there is no volume available.

As per the given data:

The width of the screen = x cm

Height of the screen = 1.9 times the width = 1.9x

Dimensions of the phone are given in the diagram.

The area of the screen = height × width

= 1.9x × x = 1.9x² cm²

The area of the phone = (1.9x + 3)(x + 1)

= 1.9x² + 1.9x + 3x + 3

= 1.9x² + 4.9x + 3 cm²

Area of the phone not occupied by screen:

= area of the phone - area of the screen

= 1.9x² + 4.9x + 3 - 1.9x²

= 4.9x + 3 cm²

Hence, the portion of the phone that is not occupied by the screen is 4.9x + 3 cm².

To learn more about surface area, click:

brainly.com/question/29298005

#SPJ2

(The given question is incomplete, the complete question is given below)

Can you still consider an equation quadratic in the absence of any or both and terms?why?​

Answers

Answer:

The question is incorrect.

For each expression, use the Distributive Property to write an equivalent expression.

Answers

Answer:

a) 4(r+2) = (r+2)4

b) (6-8)•r = r•(6-8)

c) 8r+12 = 12+8r

d) 6x-9y = 9y-6x

e) 6x-4y-2z = 2z-4y-6x

Step-by-step explanation:

It's the same equation but its backwards

Hope this helps


please help! math! 10 points was the max:(
will give brainliest!!

Answers

It's gonna be an irrational number because the length of the hypotenuse is 6.40312....... cm

[tex] {4}^{2} + {5}^{2} = {41}^{2} [/tex]

[tex] \sqrt{41} = 6.403124237[/tex]

An irrational number cannot be written as a simple fraction and the decimals would keep on going without a pattern (if it was repeating, it would be rational).

Answer:

If the legs are equal to 4 cm and 5 cm, respectively we can rewrite the equation 42+52=c2 -> 16+25=41=c^2 so then, c= the square root of 41, which is an irrational number.

Hope this helps!

What kind of proportion tells that when one quantity is increasing or decreasing, the other quantity also increasing or decreasing? A. Direct Proportion B. Indirect Proportion C. Partitive Proportion

Answers

Answer:

a

Step-by-step explanation:

Direct proportion is when two numbers move in the same direction. If one of the numbers increase, the other number increases and if the one of the numbers decrease, the other number decreases. The magnitude of the movement of the numbers is bounded by a constant

The expression for direct proportion is

y ∝ kx

where k is the constant

let illustrate with an example :

If x = 10

k = 4

y = 10 x4 = 40


[tex] \sqrt{8} [/tex]

Answers

[tex] \sqrt{8} =2 \sqrt{2} [/tex]

Explanation :

[tex] \sqrt{8} [/tex]

[tex] = \sqrt{(4 \times 2)} [/tex]

[tex] = \sqrt{4} \times \sqrt{2} [/tex]

[tex] = 2 \sqrt{2} [/tex]

Find the values of x and y. Write your answer in simplest form.
5
Х
150°
The value of x is
The value of y is

Answers

Value of x is 5 radical 3
Value of y is 10

if 8 becomes 6, what is its percent of decrease?

Answers

Answer:

25

Step-by-step explanation: im pretty sure sorry if not but it does seem right..

Answer:

it would be a 25% decrease

HELP PLS PLS HELP

Tammy has a rectangular garden with an area (in square feet) that is represented by the
expression below where 10 < x < 20
x2 + 2x 3
Part 1: Find the expression for the length of the garden if the width is (x - 1) feet.
Part 2: Find the perimeter if x= 19

Answers

Answer:

let us suppose x is bredth

[tex]x2 + 2 \times 3[/tex]

[tex]2x + 6[/tex]

[tex]2x = - 6[/tex]

[tex]x = - 6 \div 3[/tex]

[tex]x = - 2[/tex]

NEXT STEP

[tex]( - 2 - 1)[/tex]

[tex] - 3 \: \: \: ans[/tex]

length = -3

PLEASE MARK ME AS BRAINLIEST

The maximum distance (in nautical miles) that a radio transmitter signal can be sent is represented by the expression 1.23h√

, where h

is the height (in feet) above the transmitter.


Estimate the maximum distance x

(in nautical miles) between the plane that is receiving the signal and the transmitter. Round your answer to the nearest tenth.

Answers

Answer:

182.4

this website deleted my paragraph... TLDR; 182.4 is the answer

Paula bought a ski jacket on sale for $4 less than half of the original price she paid $87 for the jacket what was the original price

Answers

Answer:

Original price was $91

Answer:

$182

Step-by-step explanation:

I hope this helps <3

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