1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Aleksandr-060686 [28]
3 years ago
11

I need help!

Mathematics
1 answer:
Bezzdna [24]3 years ago
5 0
<h3>Answer:  23 years</h3>

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

Work Shown:

P = 1000 is the amount deposited

We want this value to double to A = 2000 which is the amount in the account at time t (in years).

r = 0.03 represents the interest rate in decimal form.

The value of t is unknown but we can solve for it like so

A = Pe^{rt}\\\\2000 = 1000e^{0.03t}\\\\2 = e^{0.03t}\\\\\ln(2) = \ln\left(e^{0.03t}\right)\\\\\ln(2) = 0.03t\ln\left(e\right)\\\\\ln(2) = 0.03t*1\\\\\ln(2) = 0.03t\\\\

0.03t = \ln(2)\\\\t = \frac{\ln(2)}{0.03}\\\\t \approx 23.1049060186649\\\\t \approx 23\\\\

It will take about 23 years for the amount to double.

As a check,

A = 1000e^{0.03t}\\\\A \approx 1000e^{0.03*23.104906}\\\\A \approx 1,999.9999988806\\\\A \approx 2000\\\\

which helps show that after roughly 23 years, we'll have about 2000 dollars in the account.

------------

Side note: Use of the rule of 72 leads to 72/3 = 24. The '3' is from the 3% interest rate. So the rule of 72 says it will take about 24 years for the amount to double. This isn't too far off from the 23 answer we got.

You might be interested in
Sonny has $5 to buy pencils and rulers. Pencils are 8 cent each. Rulers are 30 cent each. She says “I will buy 15 pencils. Then
ANEK [815]

Answer:

12 Rulers and 17 Pencils

Step-by-step explanation:

15 x 8 = cents spend

15 x 8 = 120

$5-120cents ($1.2) = $3.8 (380 cents)

380/30= 12 rulers with 20 cent remaining

20/8= 2 pencils with 4 cent remaining

now add!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

12 ruler +2 pencils +15 pencils=

12 Rulers and 17 Pencils

4 0
3 years ago
10ac-x/11=-3 solve for a
Masja [62]
1) You'll have to get raid of the fraction by multiplying 10ac by 11, x/11 by 11 which the 11's cancels out and -3 multiplied by 11 .
2)Now you have 10ac -x = -33. Add x on both sides of the equal sign you get 10ac = -33 + x
3) Divide both sides by 10c to get "a" by itself, so "a" = -33+x divided by 10c
4 0
3 years ago
Read 2 more answers
on the first of january 2014, carol invested some money in a bank account. The account pays 2.5% interest per year. On the first
almond37 [142]

Answer: £23,360

Step-by-step explanation:

You can use algebra to solve this.

Assume that the original investment is x.

In the beginning of 2015 the balance had increased by 2.5% which is denoted as:

= 1.025x

Carol then withdrew a thousand:

= 1.025x - 1,000

This value then increased by 2.5% again by the beginning of 2016:

= 1.025 * (1.025x - 1,000)

Relevant expression therefore is:

1.025 *(1.025x - 1,000) = 23,517.60

1.025x - 1,000 = 23,517.60/1.025

1.025x = ‭22,944‬ + 1,000

x = 23,944/1.025

x = £23,360

8 0
3 years ago
A 25-year old woman burns 200−20t cal/hr while walking on her treadmill. Her caloric intake from drinking Gatorade is 110t calor
marin [14]

The net decrease in calories after walking for 5 hours is 50 calorie.

According to the statement

we have given that the

A 25-year old woman burns 200−20t cal/hr and Her caloric intake from drinking Gatorade is 110t calories during the t hour.

And we have to find the net decrease in calories after walking for 5 hours.

So, For this purpose,

We know that the

calories burns in one hour = 200−20t

calories burns in 5 hours = 5(200−20t)

calories burns in 5 hours = 1000 - 100t

Now,

Calorie intake in t hours = 110t

And

net decrease in calories after walking for 5 hours =  100t - 1000 + 110t

put t is 5 then

net decrease in calories after walking for 5 hours = 210(5) - 1000

net decrease is 50 cal.

So, The net decrease in calories after walking for 5 hours is 50 calorie.

Learn more about calorie here

brainly.com/question/11460467

#SPJ1

3 0
2 years ago
Two different cars each depreciate to 60% of their respective original values. The first car depreciates at an annual rate of
Eddi Din [679]

Answer: A) 1.7 Years

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • Write an equation of a line whose graph is parallel to the graph of y = 3x – 10.
    9·2 answers
  • I'm studying for a quiz but I don't know how to do these two questions! Can someone explain them to me?
    10·2 answers
  • Please HELPPPPPPP RIGHT NOW
    11·1 answer
  • Which type of graph would allow us to Quickly see how many months between 100 and 200 student were treated
    14·1 answer
  • A piece of art weighing 30 pounds is hung from two wires as shown below. Each wire is supporting half of the weight of the pictu
    13·1 answer
  • Please answer that for me i will mark brainliest<br> If X was 30, y would be equal to what number?
    5·1 answer
  • Need help Pronto! Will give braintliest.
    8·2 answers
  • Yards Feet Use the table to complete the work and find the missing value. 5 yards = 15 feet 2. CO 5 yards _15 yards 15 feet ? fe
    10·1 answer
  • What is 8+[4+(-9)] ?
    6·1 answer
  • Please help me please!! −
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!