Henry is investing at a continuously compounded annual interest rate of 4.4%. How many years will it take for the balance to triple? Round your answer up to the nearest whole number, and do not include units in your answer.

Answers

Answer 1

The number of years it would take the amount to triple is 25 years.

The formula that would be used to determine the number of years it would take the balance to triple is:

FV = PV  x [tex]e^{r}[/tex]N

Where:

n = number of years fv = future value PV = present value e = 2.7182818 r = interest rate

3 = [tex]e^{0.044}[/tex]N

Take the log of both sides

log(3) / log(e) /  (0.044) = 25 years

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Related Questions

68% of what number is 17

Answers

Answer:

25

Step-by-step explanation:

We can set up an equation and solve for x (68% of x is 17)

68%*x=17       perform the inverse operation and divide both sides by 68%

dividing both sides by 68% will isolate the x variable

68%*x/68%= 17/68%      

x=17/68%

x=25

so, therefore,

68% of 25 is 17

Answer:

[tex]\displaystyle 11\frac{14}{25}[/tex]

Step-by-step explanation:

Whenever you take a percentage of something, you multiply. Turn 68% into a fraction and multiply by 17:

[tex]\displaystyle \frac{289}{25} = [\frac{17}{25}][17] \\ \\ \boxed{11\frac{14}{25}} = \frac{289}{25}[/tex]

I am joyous to assist you at any time.

what is the third term of the sequence defined by f(n)=2n-1

Answers

Answer:

your Answer has to be 5

Step-by-step explanation:

f(3) = 2x3 - 1

= 6 - 1

= 5

All of the points in the picture are on the same line *help asap*

Answers

Answer:

yes all of the points are on the same line

Step-by-step explanation:

18
What is the value of y?
3
10
2y + 4
4
5
10 + 2x
6

Answers

From the principles of geometry, we can see that the value of y is 3.

Are the opposite sides of a rectangle equal?

The lengths of the opposing sides in a rectangle are equal. A rectangle is a quadrilateral with four parallel opposed sides and four right angles (90-degree angles).

In specifically, a rectangle has two sets of equal-length opposite sides. In a rectangle, the lengths of the neighboring sides can vary, but the lengths of the opposing sides are always the same. This feature sets a rectangle apart from other quadrilaterals.

We know that;

10 = 2y + 4

10 - 4 = 2y

y = 6/2

y = 3

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list all the prime numbers between 90 and 100

Answers

Im pretty sure the only prime number in between 90 and 100 is 97

Only 97 bc that is the only prime number

Find m<1

(Picture included)

Answers

Answer:

m<1 =30

Step-by-step explanation:

[tex] < 1 + 117 + 33 = 180 \\ < 1 + 150 = 180 \\ < 1 = 180 - 150 \\ < 1= 30[/tex]

Claudia trabaja en una fábrica de carritos de supermercado, como criterio de calidad de la fábrica se establece que un carrito con mercancia que tenga una masa de 30kg no debe superar los 30N de fuerza de empuje para comenzar a moverse, ni los 20N para mantenerse en movimiento, cual es el valor de la aceleración que experimentara al soltarse?

Answers

El carro de mercancía experimenta una aceleración neta de 0.333 metros por segundo al cuadrado al soltarse.

En esta situación se requiere una fuerza de 30 N para alcanzar la fuerza estática máxima ([tex]f_{s}[/tex]), entonces la fuerza de fricción ([tex]f_{k}[/tex]) se reduce a 20 N mientras se encuentre en movimiento. Si consideramos que la fuerza externa de 30 N se mantiene durante el fenómeno físico, entonces tenemos que la aceleración neta ([tex]a[/tex]), en metros por segundo al cuadrado, experimentada por el carrito de mercancía es determinada a partir de las leyes de Newton:

[tex]a = \frac{F-f_{k}}{m}[/tex] (1)

Donde [tex]m[/tex] es la masa del carrito de mercancía, en kilogramos.

Si sabemos que [tex]F = 30\,N[/tex], [tex]f_{k} = 20\,N[/tex] and [tex]m = 30\,kg[/tex], entonces la aceleración neta del carro de mercancías es:

[tex]a = \frac{30\,N-20\,N}{30\,kg}[/tex]

[tex]a = 0.333\,\frac{m}{s^{2}}[/tex]

El carro de mercancía experimenta una aceleración neta de 0.333 metros por segundo al cuadrado al soltarse.

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1,200 miles; 5% increase

Answers

Answer:

5%equals 5 divided by 100 equals 600

Darryl deposits $1,500 into a savings account that has a simple interest rate of 2.7%.
Lori deposits $1,400 into a savings account that has a simple interest rate of 3.8%.
If no other transactions are made, who will have more money in their account after 10 years? How much more?

Answers

Answer:

12

Step-by-step explanation:

8 x 1 = 4 x _____ 8 x 2 = 4 x _____ 8 x 3 = 4 x _____ 8 x 4 = 4 x _____ 8 x 5 = 4 x _____ 8 x 6 = 4 x _____ 8 x 7 = 4 x _____ 8 x 8 = 4 x _____ 8 x 9 = 4 x _____ 8 x 10 = 4 x _____ Write two or three sentences to explain the pattern.

Answers

1)2

2)4

3)6

4)8

5)10

6)12

7)14

8)16

9) 18

10) 20

The original selling price was ​$154.30 The sale price was ​$127.92 What is the first step in finding the percent​ markdown?

Answers

Answer:

subtract the new price from the original price

Step-by-step explanation:

To find the percent markdown, first subtract the new price from the original price

154.30-127.92

26.38

Then divide by the original price

26.38/154.30

.170965651

Multiply by 100% to get the percent decrease

17.0965651% decrease

does the graph represent a function?

Answers

Answer:

No

Step-by-step explanation:

fails the vertical line test, a test to see if a vertical line can touch 2 points on a graph at the same time.

Isaiah has a points card for a movie theater.
He receives 75 rewards points just for signing up.
He earns 6.5 points for each visit to the movie theater.
He needs at least 140 points for a free movie ticket.

Write and solve an inequality that can be used to determine xx, the number of visits Isaiah can make to earn his first free movie ticket.

Inequality =
x - and _

Answers

Answer:

654

Step-by-step explanation:

You need to times the first 2 numbers nad then after that that you divide and then walaa ANSWER: 654

בוoit

Graph this equation on the coordinate plane. y=−4/5x−1

Answers

Answer:

I attached an image.

Step-by-step explanation:

Answer:

(X then y)

(0,-1) (5,-5)

Step-by-step explanation:

I did the test

im giving brainliest to who ever needs it

Answers

Answer:

heck ya

Step-by-step explanation:

Hey, thanks for doing this.

Someone who is unable to use a credit card after repeated failures to pay has
had their credit
A. garnished
B. defaulted
C. repossessed
D. suspended
SUBMIT

Answers

D. suspended

explanation:

Someone who is unable to use a credit card after repeated failures to pay has had their credit suspended.

Option D is the correct answer.

What is a suspended credit card?

Credit card suspension is a temporary measure, and the credit card can usually be reinstated once the account is brought up up-to-date.

We have,

When a person repeatedly fails to make payments on their credit card, their credit card company may suspend their credit card.

This means that the person will not be able to use the credit card until they bring their account up-to-date and pay any outstanding balance or fees.

However, repeated failures to pay can have a negative impact on a person's credit score, which is a measure of their creditworthiness.

If the account remains delinquent, it may eventually lead to default, which is when the lender takes legal action to recover the unpaid debt.

Thus,

Someone who is unable to use a credit card after repeated failures to pay has had their credit suspended.

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The graphs below have the same shape. What is the equation of the blue
graph?

A) g(x) = (x-4)^2
B) g(x) = (x+4)^2
C) g(x) = x^2 + 4
D) g(x) = x^2 - 4

Answers

The graphs of f(x) and g(x) are related by transforming one of the two graphs.

The equation of the blue graph is [tex]\mathbf{g(x) =(x - 4)^2}[/tex]

From the graphs, we have:

[tex]\mathbf{f(x) =x^2}[/tex]

f(x) is transformed to the right by 4 units.

The rule of this transformation is:

[tex]\mathbf{g(x) \to f(x - 4)}[/tex]

So, we start by calculating f(x - 4)

Given that:

[tex]\mathbf{f(x) =x^2}[/tex]

Substitute x - 4 for x in f(x)

[tex]\mathbf{f(x - 4) =(x - 4)^2}[/tex]

Also, recall that:

[tex]\mathbf{g(x) \to f(x - 4)}[/tex]

So, we have:

[tex]\mathbf{g(x) =(x - 4)^2}[/tex]

Hence, the equation of g(x) is [tex]\mathbf{g(x) =(x - 4)^2}[/tex]

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According to the food label on a box cookies, each box has 16
servings and each sering contains 4 cookies. The weight of the
ba of cookies is Kilogroms. What is the weight of each
cooke?

Answers

I cant help you but I can give you the equation: 16 x 4 x weight per cookie = answer

Step-by-step explanation:

did you forget to write the whole question?

Let P(t) denote the profit made by a company when t dollars are invested in advertising. The marginal profit is dP/dt .
(a) Explain the meaning of dP dt in practical terms. The expression dP dt is the additional profit expected if 1 more dollar is invested in advertising. The expression dP dt is the total profit expected if t more dollars are invested in advertising. The expression dP dt is the difference between the expected profit and the actual profit. The expression dP dt is the additional profit expected if t more dollars are invested in advertising. The expression dP dt is the total profit expected if 1 more dollar is invested in advertising.
(b) If the marginal profit is positive, should you invest more or less money in advertising

Answers

Answer:

  (a)  (1) The expression dP/dt is the additional profit expected if 1 more dollar is invested in advertising

  (b) you should invest more when dP/dt > 0

Step-by-step explanation:

a)

dP/dt is the rate of change of profit with respect to advertising dollars. That is, it tells the number of dollars the profit will increase if the advertising dollars increase by 1.

__

b)

Assuming that the advertising budget is already accounted for in the profit function, it is useful to spend more on advertising if that makes the profit go up. For dP/dt > 0, you should invest more in advertising.

When dP/dt = 0, no more advertising should be purchased. When dP/dt < 0, the advertising budget should be reduced to increase profit.

-
Find the equation of the line that
is parallel to y = 2x – 7 and
contains the point (-3,6).

Answers

Step-by-step explanation:

The first step is to Know the condition for two lines be parallel is that have the same slope, and this form the slope given is 2, therefore the new function has its slope too

2)  with the slope and the two points givens, you can find the equation

Y-Y1 = m( X-X1) ,   Y-6 = 2[(X-(-3)]  ⇒Y-6 = 2X+6 ⇒Y = 2X+12, AND THIS IS THE EQUATION PARALLEL TO THE LINE Y = 2X-7

Help please!!!!
Find the measure of the angle indicated

Answers

Answer:

x = 6

Step-by-step explanation:

Because we have parallel lines, we can use alternate angles are equal. Therefore, we know that 11x-6 = 10x.

Minus 11 from both sides, and we get -6 = -x, so x = 6

In the previous year, at Hub Motors ltd, for a particular model of Mercedes, Nissan and Ford, one could purchase (in million shillings) all three cars for a total of Ksh 150. This year, due to inflation, the same cars would cost Ksh 161. The cost of the Mercedes increased by 8%, the Nissan by 6%, and the Ford by 12%. If the price of last year's Nissan was Ksh 7 less than the price of last year's Mercedes, Use matrix inverse to find the price of each of the three cars last year?​

Answers

Answer:

Step-by-step explanation:

simplify 2/3x-4/9y+x+y

Answers

Here is ur perfect answer

I think this will help you

what is 1/2 divided by 75.096868

Answers

Answer:

Step-by-step explanation:

If x = 36 and y = 40 and “x varies directly as y”, then find “x” when y = 80.

Answers

Answer:

x= it will be 76

If you start with 65 milligrams of Chromium 51, used to track red blood cells, which has a half-life of 27.7 days. How long will it take for 80% of the material to decay?

Answers

Answer:

Half-Life uses the formula N () = Noe # No = Initial Amount time h = length of half-life. Ifyou start with 65 milligrams of Chromium 51,used to track red blood cells, which has half-life of 27.7 days: How long will it take for 80% ofthe material to decay? t= (27.7) h5 (65) (h3) 4= (27.7) h; (05)

Step-by-step explanation:

For the given data it will take 8.69 days for 80% of the material to decay.

What is half-life?

A radioactive substance's half-life is typically described as the amount of time it takes for one-half of its atoms to disintegrate or change into another substance.

It is given that, If you start with 65 milligrams of Chromium 51, used to track red blood cells, which has a half-life of 27.7 days.

N₀ = 65 milligrams

t1/2=27.7 days

N(t)=0.8(65 milligrams)=52 milligrams

[tex]N(t) = N_0(1/2)^ {\frac{t}{t_{1/2}} }[/tex]

Here,

N(t) is the amount of the substance remaining

N₀ is the initial substance amount

t is the time elapsed

t1/2 is the half-life

Substitute the given values,

[tex]N(t) = N_0(1/2)^ {\frac{t}{t_{1/2}} } \\\\ 52 = 65(1/2)^\frac{t}{27.7} \\\\ 52=65\left(\frac{1}{2}\right)^{\frac{t}{27.7}} \\\\ \frac{65\left(\frac{1}{2}\right)^{\frac{t}{27.7}}}{65}=\frac{52}{65} \\\\ \left(\frac{1}{2}\right)^{\frac{t}{27.7}}=\frac{4}{5} \\\\ \frac{t}{27.7}\ln \left(\frac{1}{2}\right)=\ln \left(\frac{4}{5}\right) \\\\ t =-\frac{27.7\ln \left(\frac{4}{5}\right)}{\ln \left(2\right)}[/tex]

[tex]t = 8.69 \ days[/tex]

Thus, for the given data it will take 8.69 days for 80% of the material to decay.

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What the answer is please

Answers

Answer:its the first one

Step-by-step explanation:

becuase it tells more explanation if you look at the answer or what im saying is problem to make it more simpler.

Help, please! You will be extremely smart if you answer this question, and if you do I will give brainliest. The test ends soon please help.

Answers

Answer:

B. y=6-1/3t

Step-by-step explanation:

If you graph this equation, it matches the given graph. Hope this helps :)

This table represents the number of pounds, p, a puppy grows after w, weeks.


When graphed, all of the points in the table lie on the same line.


What is the slope and y-intercept of the line?



slope=−94, y-intercept=−0.8


slope=−49, y-intercept = 2


slope=49, y-intercept=−0.8


slope=94, y-intercept = 2

Weeks, w Weight in pounds, p

0 2

2 6.5

4 11

6 15.5 help plz

Answers

Answer:

the answer is slope=94, y-intercept = 2

Step-by-step explanation:

i took the test

Drag each relation to the correct location on the table. Classify the relations according to whether or not they are functions.

Answers

they are all functions

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