Ashleigh wants to double her money. She put $5,000 in a bank account that pays 4% compounded continuously. How long will it take her to double her money? (Round to

Answers

Answer 1

Answer:

approximately 17.3 years

Step-by-step explanation:

Answer 2

Compound interest is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + r/n)^{nt}[/tex]

The formula used to find continuously compounded is:

t = log (A/P) / r

The time it will take to double her money is 17.329 years.

What is compound interest?

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + r/n)^{nt}[/tex]

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

We have,

P = $5,000

r = 4%

Amount = 2 x 5000 = $10,000

n = infinite number of times.

Now,

Solve the equation for t

The formula used to find for continuously compounded is:

t = log (A/P) / r

t = log (10,000.00/5,000.00) / 0.04

t = 17.329 years

Thus,

The time it will take to double her money is 17.329 years.

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Related Questions

The tuition for a state resident to attend a particular state college is $8000 this year. The tuition is expected to increase 6.25% per year for the next 5 years. Write an equation to represent the situation.

Answers

Answer:

8,000^0.0625=5

Step-by-step explanation:

Lol I was doing my homework rn and I wasn't 100% sure of my answer so I looked it up on brainly. So an exponential equation should look like this e^a=b so with the three values $8,000 , 6.25% , and 5 years I kind of just mixed around the numbers a bit in the exponential equation till one worked. So yeah...

Answer:

f(t)=8000e^(0.0625)(5)

Step-by-step explanation:

exponential growth function is f(t)=Pe^(rt)

where P is starting value, or price

e is the e on you calculator

r is rate of increase, in this case 6.25/100 is 0.0625, which is the rate

t is the time given

Hope this helps, also had this on my math hw today lol :)

An Atlanta football player averages 67 attempts for 518 yards. The team needs 39 yards to win the bowl game, Calculate how many attempts will be needed if the footbo player keeps the ball moving at the same rate.​

Answers

518/67 = approximately 7.7313 yards per attempt

39/7.7313 = 5.0444 attempts

what is opportunity sampling

Answers

Answer:

Opportunity sampling is also known as convenience and it can be defined as a sampling technique which typically involves the process of selecting participants from a population of interest (target group) to take part in a research study.

Step-by-step explanation:

In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.

There are various types of sampling used by researchers and these are;

1. Random sampling.

2. Systematic sampling.

3. Stratified sampling.

4. Cluster sampling.

5. Opportunity or convenience sampling.

Opportunity sampling is also known as convenience and it can be defined as a sampling technique which typically involves the process of selecting participants from a population of interest (target group) to take part in a research study.

This ultimately implies that, an opportunity sampling is a non-probability sampling in which a researcher select participants based on their availability for the study.

For example, John a psychologist standing on the street requesting that passersby join in his research study.

3 points
15. Metal A has a density of 2.4g/cm3 and Metal B has a density of 1.8
g/cm3. Their masses are combined in the ratio 2:3 to make metal C which
has a mass of 60 grams. Find the density of the metal C*

Answers

Answer:

The density of the metal C is 2 g/cm³

Step-by-step explanation:

The parameters of the two metals are;

The density of the Metal A = 2.4 g/cm³

The density of the Metal B = 1.8 g/cm³

The ratio in which their masses are combined to make the metal C= 2:3

The mass of the metal C, m = 60 grams

Let, 'x', represent the mass of the metal A in the 60 grams of the metal C and let 'y' represent the mass of the metal B in the 60 grams of the metal C

Let the ratio of the metals A and B in the metal C = x:y = 2:3

Therefore;

The mass of the metal A in the metal C, x = (2/(3 + 2)) × 60 g = 24 g

The volume of the metal A in the metal C, V₁ = (24 g)/(2.4 g/cm³) = 10 cm³

The mass of the metal B in the metal C, y = (3/(3 + 2)) × 60 g = 36 g

The volume of the metal B in the metal C, V₂ = (36 g)/(1.8 g/cm³) = 20 cm³

The volume of the metal C, V = V₁ + V₂ = 10 cm³ + 20 cm³ = 30 cm³

The density of the metal C = ρ = m/V

ρ = (60 g)/(30 cm³) = 2 g/cm³

The density of the metal C, ρ = 2 g/cm³

3(x -2 = 3x - 5 is it a no slolution or one solution or x= 0 or infinite

Answers

Answer:

no solution

Step-by-step explanation:

Answer:

Step-by-step explanation:

3(x-2)=3x-5

3x-6=3x-5 now add 6 to both sides

3x=3x+1 subtract 3x from both sides

0=1

Zero is not equal to one so there is no value of x that satisfies the original equation. There is no solution.

Determine the rate

100 cars pass by in 2 hours​

Answers

Answer:

if 100 came by in 2 hours 50 would come by in one hour

Step-by-step explanation:

split it it's by 2

If 100 came by in 2 hours then 50 would come by in one hour.

What is unit rate?

There is an independent quantity, and a quantity that depends on it (dependent quantity). When independent quantity moves by a unit measurement (single unit increment), the increment in dependent quantity is called the rate of increment of dependent quantity per unit increment in independent quantity.

We have been given 100 cars pass by in 2 hours​

We need to find the unit rate.

Total car = 100

Time = 2 hours

Unit rate = 100/2

Unit rate = 50

Therefore, the unit rate of 50 car in one hour.

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factor this trinomial 2x^2 + 5x +2​

Answers

Answer:

(2x+1) (x+2)

Step-by-step explanation:

Solve Simultanously using
substitution method
15v+2W=31
3v-4w=3​

Answers

Step-by-step explanation:

V=-2w+31 over 15

w=-15v+31 over 2

Answer:

In Equation 2 Make 3v the Subject Of The Formula.(3v= 3+4w)

Sub Equation 3 In equation 2(3+4w-4w=3)

4w-4w=3-3

w=0

70.3 rounded to one decimal place

Answers

Answer:

The answer will be 70

Step-by-step explanation:

Hope this Helped

9514 1404 393

Answer:

  70.3

Step-by-step explanation:

The number already has one decimal place. No adjustment is needed.

  70.3

A phone company charges $67 for monthly access and $14 for each gigabyte of data used. If you sign a two-year contract and use 147.5 gigabytes of data, what is the total amount you will pay for phone service?

Answers

Answer:

the answer is below :)

Step-by-step explanation:

BigBytes will be 100 +10x = y ($100 flat fee plus 10 times the number of gigabytes equals total cost).

GoGig will be 120 + 5x = y.  ($120 flat fee plus 5 times the number of gigabytes equals total cost).

Now set them equal to each other and solve for x to find where the gigabytes are the same.

100 + 10x = 120 + 5x

Subtract 100 from both sides:  10x = 20 + 5x

Subtract 5x from both sides:  5x = 20.

Divide both sides by 5:  x = 4.  4 gigabytes is the answer.

a brainliest would be appreciated :)

The total amount you will pay for phone service is 4 gigabytes.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

BigBytes will be 100 +10x = y

Therefore , We have $100 flat fee plus 10 times the number of gigabytes equals total cost).

GoGig will be 120 + 5x = y.  

We have $120 flat fee plus 5 times the number of gigabytes equals total cost).

Now set them equal to each other and solve for x;

100 + 10x = 120 + 5x

Now Subtract 100 from both sides:  

10x = 20 + 5x

Then Subtract 5x from both sides:

5x = 20.

Now Divide both sides by 5:  

x = 4.  

Hence, the total amount you will pay for phone service is 4 gigabytes.

Learn more about equations here;

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please help with this
15w=4.5

Answers

Answer:

0.3

Step-by-step explanation:

15w=4.5                                                                                                                      

÷15     ÷15

 w = 0.3

Sorry if I'm wrong

A blue light flashes every 8 minutes while a pink light flashes every 54 minutes.
Both lights flash together at 2pm.
When is the next time that both lights will flash together again?

Answers

Answer:

5:36 pm

Step-by-step explanation:

54 x 4= 216 and 8 x 27= 216 so since they both flashed at 2:00 pm 216 minutes later it will be 5:36 pm and they will both flash at the same time.

what is the cheapest way to buy 48 cans of cola

Answers

Answer:

both the first one

Step-by-step explanation:

use unit rate

anyone smart enough to do this i no i am not

Answers

Answer:

Slope(m) intercept formulae is

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

So it's (- 9/7)

Sry it took a bit time to answer coz I wasn't getting my pencil....

Help! Use the identity of i^2=-1 to compute the powers of i and complete the table

Answers

Answer:

Step-by-step explanation:

i^3= -i

i^4= 1

i^5= i

i^6= -1

i^7=  -i

For the other questions, can you give me the value of N. If that is not possible, then sorry I can not help you. And feel free to report this if this is not useful :(

mgcvpzbi
Write the equation for the line that passes through (3,0) and is
parallel to the line 2x + 5y = 30.

Answers

Answer:

2x + 5y = 6

Step-by-step explanation:

The equation of a line parallel to 2x + 5y = 30 has exactly the same form as does 2x + 5y = 30, but the constant is different.  Starting with 2x + 5y = 30, replace the constant (30) with C, x with 3 and y with 0:

2(3) + 0 = C, so C = 6

Then the desired equation is 2x + 5y = 6

hi anybody tell me the answers

Answers

Girls english: 6
Boys total: 32
Boys math: 5
Boys english: 20
Total english: 26
Total science: 19

A parellogram has an angle that measure 50 degrees. What is the measure of a consecutive angle?

Answers

Answer:
130°, 50°, 130°

Nothing I can say about the homework

Answers

I don’t know what this is but....

Here is something i found on the web.
Homework is your teachers' way of evaluating how much you understand of what's going on in class. But it can seem overwhelming at times. Luckily, you can do a few things to make homework less work.

Budget your time. If you don't finish your homework at school, think about how much you have left and what else is going on that day. Most high-school students have between 1 and 3 hours of homework a night. If it's a heavy homework day, you'll need to devote more time to homework. It's a good idea to come up with a homework schedule, especially if you're involved in sports or activities or have an after-school job.

Write an equation in point-slope form and slope-intercept form for each line.
1. passes through (4, 7), slope = 2
2. passes through (–2, –1), slope = 4
3. passes through (8, –4), slope = 1/2

Answers

Answer:

y=2x-1

y-7=2(x-4)

2x-y-1

//

y=4x+7

y--1=4(x--2) = y+1=4(x+2)

4x-y+7

//

y=1/2x-8

y--4=1(x-8) = y+4=1(x-8)

1x-y-12

Step-by-step explanation:

here u go

The measure of an angle is 78°. What is the measure of its complementary angle

Answers

Answer:

12 degrees

Step-by-step explanation:

complimentary angles add up to 90 degrees.

I need help with math

Answers

Answer: 15
Answer: c +5 is the same as c+5 and 2 of (c+5) equals 30, so 30/2 will equal the price of 1 pizza.

Answer:

The answer is $10

Step-by-step explanation:

c+5 multiplied by 2 is 2c+10=30 subtract ten to get 2c=20 divide by 2 and get your answer c=10

A girl jogs around a track for 45 minutes. How far does the girl jog if she travels at a speed of 0.15 m/min?

help quick

Answers

Answer:

6.75 m

Step-by-step explanation:

Time = 45 mins

Speed = 0.15 m/min

Distance = Speed * time

Distance = 0.15 m/min * 45 mins = 6.75 m

Answer:

6.75m

Step-by-step explanation:

We know that she jogged for 45 minutes and was going around 0.15m/min so we can multiply her distance per minute (0.15m/min), by the number of minutes(45min).

If we use Long Multiplication also known as Standard Algorithm it should look like this:

We have to multiply 0.15 x 100 or move the decimal two spaces

Once you get your answer (675) just move the decimal 2 spaces forward or divide by 100. You should get 6.75, and now just add your label (m)

6.75m.

Help I will be marking brainliest!!!!

A. 241 feet
B. 358 feet
C. 258 feet
D. 341 feet

Answers

Answer: A. 241 feet

Step-by-step explanation:

The figure shows two rectangular triangles.

These triangles are similar since they have two identical angles:

the first angle is 90 degrees;

the second angle is equal because the law of reflection states that the angle of incidence is equal to the angle of reflection.

The law of reflection states that the angle of incidence is equal to the angle of REFLECTION.

Let's make the proportion:

[tex]\dfrac{4}{273} =\dfrac{5}{x} \\\\x=\dfrac{273 \cdot 5}{4} =341.25 \: (feet)\\[/tex]

It takes a minimum of 100 feet for a parachute to open and safely land without injury, so:

341.25 - 100 = 241.25 (feet)

241.25 ≈ 241 (feet)

Write a linear function f with the given values f(-3)=5, f(-1)=5​

Answers

Answer f

Step-by-step explanation:

ill give brainliest if its correct

Answers

Answer:

3 pieces

Step-by-step explanation:

Given: Figure

To find: Number of 8.5 in. ×  11 in. pieces used to cover the floors  of a room and a hallway in  her dollhouse

Solution:

In the given figure, AC = 22 in.

AB + BC = 22 in.

AB + EF = 22 (As BC = EF being opposite sides of rectangle)

AB + 10 = 22

AB = 22 - 10 = 12 in.

Area of rectangle ABGH = AB × AH = 12 × 5 = 60 square inches

(area of rectangle = length × breadth )

CE = CD + DE = AH + GF (As CD = AH and DE = GF)

CE = 5 + 15 = 20 inches

Area of rectangle BCEF = BC × CE = 10 × 20 = 200 square inches

(BC = EF = 10 in.)

Total area of the figure = Area of rectangle ABGH + Area of rectangle BCEF = 60 + 200 = 260 square inches

Area of pieces of felt = 8.5 × 11

So,

Number of pieces required = Total area of the figure / Area of pieces of felt  =   3 pieces

Can anyone help me please

Answers

Just add all the sides

Just Add All The Numbers Up

determine the missing value!

Answers

Hi there!

missing value: -9

1.Multiply the two negative:

[tex]-2[/tex]·[tex]-4=-8[/tex]

2.Find the value of 72*-8:

[tex]72*-8=-9[/tex]

Therefore, the missing value is -9.

Logan is 2 years older than Lindsey. Five years ago, the sum of their ages was 30. Find Lindsey’s
current age.

Answers

Answer:

lindsey = x = 19

logan = x + 2 = 21

Step-by-step explanation:

lindsey =x

logan = x + 2

-------

5 yrs back

lindsey = x - 5

logan = x + 2 - 5 = x - 3

~~~~~~~~~~

x- 5 + x - 3 = 30

x + x - = 30 +5 +3

2x = 38

x = 38/ 2 = 19

Which expression is equivalent to 15x + 3?

Answers

Answer:

the answer is 15x+3=3(5x+1)

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