How long does it take $6,000 to quadruple if it is invested at 9.1% interest compounded annually?

a
15.9 years
b
17.8 years
c
37 years
d
222,222.22 years

Answers

Answer 1

Answer:

1. 15.9 years

Step-by-step explanation:

You must solve this equation:

[tex]6000 \cdot 1.091^n > 24000[/tex]

So [tex]1.091^n > 4[/tex]

Take the log left and right:

[tex]\log 1.091^n > \log 4[/tex]

use the log property that you can put the exponent in front:

[tex]n \cdot \log 1.091 > \log 4[/tex]

[tex]n > \frac{\log 4}{\log 1.091}[/tex]

n > 15.917


Related Questions

OMG PLEASE HELP IF I DONT PASS THIS I FAIL MY CLASS! HELP! 30 POINTS SHOW WORK IF U NEED TO PLEASE! thank you too anyone(PRETTY PLEASE SHOW HOW YOU DID IT/can you show work)

Answers

Answer:

answer is c have a great day :)

Step-by-step explanation:

....how do you solve this? 5 √6 ( 4 - √10 )

Answers

Answer:

10.29

Step-by-step explanation:

5 √6 ( 4 - √10 )

√6= 2.45

5x2.45=12.25

√10=3.16

4-3.16=0.84

12.25(0.84)=10.29

A bakery sells one cupcake for $2.75 or a dozen cupcakes for $25.80. If you
purchase a dozen cupcakes, how much do you save on each cupcake?
A $23.05
B $3.75
C $2.15
D $0.60

please help !!

Answers

Answer:

D $0.60

Step-by-step explanation:

Since a dozen is equal to 12, we will first multiply $2.75 by 12, and we get $33.  Now subtract $33 by $25.80 dollars, which is $7.2.  Now we know that we saved $7.2 out of a dozen cupcake's, but we have to find how much we saved on each cupcake.  So lets divide $7.2 by 12 and we get $0.60. Therefore, you saved $0.60 on each cupcake.

ANSWER ASAP!! i’ll give brainliest!!
Oy=x-3
Oy=-x+3
Oy=-x-3
Ov=x+3

Answers

Answer:

3rd one thank you let me know if u got it rigbt

Find the surface area of rectangular prism

Answers

Where are the numbers at? And if you need a formula for that, A=2(wl+hl+hw)
surface area= 2lw + 2wh + 2lh

Find the measure of the angles and arcs

Answers

here have a good day

Answer:

multiple both of them and you get your answer

Which one is the answer​

Answers

Answer:

2667

Step-by-step explanation:

35 meters wide at the base

20.6 meters tall

h = 20.6 m

slant height s = 27.029798371427 m

side length a = 35 m

lateral edge length e = 32.200310557509 m

1/2 side length r = 17.5 m

volume V = 8411.6666666667 m3

lateral surface area L = 1892.0858859999 m2

base surface area B = 1225 m2

total surface area A = 3117.0858859999 m2

in all explanation, 2667 is the final answer.

hope this helped!

answer above!!!!!!!!!!!

PLEASE HELP ILL GIVE BRAINLY!!!

Answers

answer is D have a great day :)

jack tripper has 5 girls in his home. He takes away 3 of them to do something that should not be named how many girls r left

Answers

Answer:

uh i think 2 i just want points

Step-by-step explanation:

Carlton and Leon are expert bowlers. Seventy percent of Carlton's rolls are strikes, while 67% of Leon's rolls are strikes. Suppose that Carlton and Leon each bowl 25 games. What is the probability that Leon's proportion of strikes is greater than Carlton's for these games?

Answers

Answer:

The probability that Leon strikes is greater than Carlton strike is 0.40905

Step-by-step explanation:

From the question, we have;

The percentage of Carlton's rolls are strikes, [tex]\hat p_1[/tex] = 70%

The number of games Carlton played, n₁ = 25

The percentage of Leon's rolls that are strikes, [tex]\hat p_2[/tex] = 67%

The number of games Leon played, n₂ = 25

Therefore, we have;

[tex]\hat p=\dfrac{k_1 + k_2}{n_1 + n_2}[/tex]

Where;

k₁ = 0.7 × 25 = 17.5

k₂ = 0.67 × 25 = 16.75

[tex]\therefore \hat p=\dfrac{17.5 + 16.75}{25 + 25} = 0.685[/tex]

The test statistic is given as follows;

[tex]Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p} \cdot (1-\hat{p})\cdot \left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}[/tex]

[tex]Z=\dfrac{0.7-0.67}{\sqrt{0.685 \cdot (1-0.685)\cdot \left (\dfrac{1}{25}+\dfrac{1}{25} \right )}} \approx 0.2283[/tex]

From the z-table, we have;

The p-value for Carlton strikes is greater than Leon's strike = 0.59095

∴ The p-value for Leon strikes is greater than Carlton strike = 1 - 0.59095 = 0.40905

The probability that Leon strikes is greater than Carlton strike = 0.40905

The illustration below shows the graph of yyy as a function of xxx.
Complete the following sentences based on the graph of the function.
(Enter the xxx-intercepts from least to greatest.)
This is the graph of a

function.
The yyy-intercept of the graph is the function value y=\:y=y, equals
.
The xxx-intercepts of the graph (in order from least to greatest) are located at x=\:x=x, equals
and x=\:x=x, equals
.
The greatest value of yyy is y=\:y=y, equals
, and it occurs when x=\:x=x, equals
.
For xxx between x=2x=2x, equals, 2 and x=6x=6x, equals, 6, the function value y\:yy

\:000.

Answers

Answer:

This is the graph of a {\text{nonlinear function}}nonlinear functionstart text, n, o, n, l, i, n, e, a, r, space, f, u, n, c, t, i, o, n, end text.

The yyy-intercept of the graph is the function value y={{-6}}y=−6y, equals, minus, 6.

The xxx-intercepts of the graph are located at x={2}x=2x, equals, 2 and x={6}x=6x, equals, 6.

The greatest value of yyy is y={2}y=2y, equals, 2, and it occurs when x={4}x=4x, equals, 4.

For xxx between x=2x=2x, equals, 2 and x=6x=6x, equals, 6, the function value {y \, {\geq } 0}y≥0y, is greater than or equal to, 0.

Step-by-step explanation:

1 / 7

Let's use the graph to complete the sentences one by one.

Hint #22 / 7

A function with a constant rate of change produces a graph that is a line, and we say the function is linear. If the rate of change of the function is not constant, the graph will not be a line, and we say the function is nonlinear.

The graph shown is not a line. Therefore, we are looking at the graph of a nonlinear function.

Hint #33 / 7

The yyy-intercept of a graph is the value of the function when \red{x=0}x=0start color #df0030, x, equals, 0, end color #df0030. The yyy-intercept of this graph is the function value \blue{y=-6}y=−6start color #6495ed, y, equals, minus, 6, end color #6495ed.

Hint #44 / 7

The xxx-intercepts of a graph are the values of \red{x}xstart color #df0030, x, end color #df0030 for which \blue{y=0}y=0start color #6495ed, y, equals, 0, end color #6495ed. The xxx-intercepts of this graph are located at \red{x=2}x=2start color #df0030, x, equals, 2, end color #df0030 and \red{x=6}x=6start color #df0030, x, equals, 6, end color #df0030.

Hint #55 / 7

The maximum value of \blue{y}ystart color #6495ed, y, end color #6495ed occurs at the top of the bump in the graph. The coordinates of the top of the bump are (\red{4},\blue{2})(4,2)left parenthesis, start color #df0030, 4, end color #df0030, comma, start color #6495ed, 2, end color #6495ed, right parenthesis. Therefore, the maximum value is \blue{y=2}y=2start color #6495ed, y, equals, 2, end color #6495ed, and it occurs when \red{x=4}x=4start color #df0030, x, equals, 4, end color #df0030.

Hint #66 / 7

The graph of the function is above the xxx-axis for values of \red{x}xstart color #df0030, x, end color #df0030 between \red{x=2}x=2start color #df0030, x, equals, 2, end color #df0030 and \red{x=6}x=6start color #df0030, x, equals, 6, end color #df0030. For these values of \red{x}xstart color #df0030, x, end color #df0030, the function value y\geq 0y≥0y, is greater than or equal to, 0.

Hint #77 / 7

We can now complete the sentences:

This is the graph of a {\text{nonlinear function}}nonlinear functionstart text, n, o, n, l, i, n, e, a, r, space, f, u, n, c, t, i, o, n, end text.

The yyy-intercept of the graph is the function value y={{-6}}y=−6y, equals, minus, 6.

The xxx-intercepts of the graph are located at x={2}x=2x, equals, 2 and x={6}x=6x, equals, 6.

The greatest value of yyy is y={2}y=2y, equals, 2, and it occurs when x={4}x=4x, equals, 4.

For xxx between x=2x=2x, equals, 2 and x=6x=6x, equals, 6, the function value {y \, {\geq } 0}y≥0y, is greater than or equal to, 0.

Related content

Are the equations m + 3 = -5 and m = -2 equivalent? Explain why or why not?

Answers

Answer:

Step-by-step explanation:

When m+3=-5, collection of like terms says; -5-3

Now,-5+-3 = -8 and -2≠-8 hence,they aren't equivalent

10% of what number is 13

Answers

Answer:

[tex]\boxed{\textsf{ The required answer is \textbf{130}.}}[/tex]

Step-by-step explanation:

Let us take that number be x whose 10% is 13. So According to Question 10% of x is 13. This implies ,

☯️ [tex]\underline{\underline{\boldsymbol{According\ to\ the\ Question :-}}}[/tex]

[tex]\sf\implies 10\% \ of \ x = 13 \\\\\sf\implies \dfrac{10}{100}\times x = 13 \\\\\sf\implies x =\dfrac{13\times 100}{10} \\\\\sf\implies\boxed{\pink{\frak{ x = 130 }}}[/tex]

what type of phone do i have can u guess by the looks of it

Answers

Answer:

apple

Step-by-step explanation:

Answer:

i have a iphone 11...

Step-by-step explanation:

solve the system by substitution 2x + 5y = - 3 and y = - 1

Answers

Answer:

x = 1

y= -1

Step-by-step explanation:

Plug in for y

2x + (5)(-1) = -3

2x - 5 = -3

2x = - 3 + 5

2x = 2

x = 1

You bought a $1750 worth of stocks in
2012. The value of the stocks has been
decreasing by 12% each year. Let y = the
value of the stocks and let x = the
number of years since 2012. Write and exponential function to represent this situation.
What will your stock be worth in 2020? Round your answer to the nearest cent.

Answers

Answer:

f(x) = 1750 x 0.88^x

It will be worth $629.36 in 2020.

Step-by-step explanation:

Find the missing side of this right
triangle.

Answers

Answer: I believe it’s 15

Step-by-step explanation:

The rectangular floor of a classroom is 36 feet in length and 24 feet in width. A scale
drawing of the floor has a length of 12 inches. What is the area, in square inches, of
the floor in the scale drawing?

Answers

Answer:

96 ft^2

Step-by-step explanation:

If the scale drawings length is 12 and the floors length is 36 we do 36/12 and find out that the scale drawing is 3 times smaller than the actual floor.

So to find the width so we can find the area we divide 24 by 3

24/3=8

then to find area we multiply the length and width

8x12=96

have a great day :D

i would be 8 i did the math on a calculator

Solve for k 9k^3=1125

Answers

9k³ = 1125

k³ = 1125 : 9

k³ = 125

k = 5 (because 5³ = 5 * 5 * 5 = 125)

En el siguiente mapa, se utilizó la escala 2
130 . Encuentre las distancias reales de Quibdó a la
ciudad de Medellín y de Quibdó a la ciudad de Cali (Sugerencia: mida estas distancias en el mapa
con una regla).ayudaaaaaaaaaaaaaaaaaaaaaaaa

Answers

Abcdefghijklmnopqrstuvwxy&z

After purchasing a home for $160,000, the homeowner noticed the suggested value of her house was depreciating (going down) each year by 5% for at least the 6 years she lived there

Answers

Answer:

Step-by-step explanation:

It’s c 111,734

Henry is going to invest in an account paying an interest rate of 4.3% compounded
continuously. How much would Henry need to invest, to the nearest dollar, for the
value of the account to reach $820 in 13 years?

Answers

Answer:

63.0769230769

Step-by-step explanation:

Answer:

469 this was correct on Delta Math!!!

Step-by-step explanation:

how do you solve for x.

Answers

Answer:

X=10

Step-by-step explanation:

71+50=121

180-121=59

So (6x-1)=59

(6x-1)=59

    +1   +1

6x=60

6x/6=60/6

x=10

Find the ending
balance:
$3,000 for 30 years
3.5% annual simple
interest

Answers

rttrtbtrertbr4gbigbnerunburhurh

Reduce this algebraic fraction.

27c^4d^5
--------------
9c^7d^4

Answers

Answer:

Step-by-step explanation:

[tex]\frac{a^{m}}{a^{n}}=a^{m-n}\\\\a^{-m}= \frac{1}{a^{m}}[/tex]

[tex]\frac{27c^{4}*d^{5}}{9c^{7}d^{4}}= 3*c^{4-7}*d^{5-4}\\\\ = 3c^{-3}d^{1}\\\\= \frac{3d}{c^{3}}[/tex]

is it a acute, obtuse, or Right

Answers

Answer:

Right triangle

Step-by-step explanation:

it has one 90 degree angle

Answer:

Right Triangle

Step-by-step explanation:

A baseball player gets a hit 20% of the times he is at bat. Out of the next 15 times at bat, how many hits can you expect the player to get?

Answers

Answer:

...

Step-by-step explanation:

The batsman will hit =20% of 15

= 15/5

= 3

Answer:

3

Step-by-step explanation:

15 x 0.20

In Las Vegas, the sales tax is 8.375%. How much sales tax would there be on a $750 flat screen TV? * ​

Answers

Answer:

Step-by-step explanation:

Sales tax = $750 × 0.08375 = $62.8125

Answer:

[tex]\boxed {\boxed {\sf \$62.81}}[/tex]

Step-by-step explanation:

To find the sales tax, multiply the price by the tax rate.

[tex]sales \ tax=price * tax \ rate[/tex]

The price of the TV is $750 and the tax rate is 8.375%, but we must convert it to a decimal. Divide by 100 or move the decimal place two spots to the right.

8.375/100=0.08375      or         8.3750⇒.8375⇒ 0.08375

Substitute the values into the formula.

[tex]sales \ tax= 750*0.08375\\sales \ tax= 62.8125[/tex]

Round to the nearest cent, which is the hundredth place. The 2 in the thousandth place tells us to leave the 1.

[tex]sales \ tax = 62.81[/tex]

The sales tax on the TV is approximately $62.81.

The weight of one serving of trail mix is 2.5 ounces. How many servings are there in 25 ounces of trail mix?

Answers

10 servings
Explanation: 25/2.5 = 10

consider the image that shows a tower anchored by a guy with the guy wire is attached at point b on the tower 119 feet above the ground and then anchored to the ground at point a 120 feet from the base of the tower.
Options are: A) sin0= 119/120, B) sin0= 120/119, C) sin0= 119/169, and D) sin0= 120/169

Answers

Answer:

Step-by-step explanation:

[tex]sin\theta=\frac{opposite}{hypotenuse}\\ \\ sin\theta=\frac{119}{169}\ (answer\ C)[/tex]

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