I need help!
Screenshot down below.
Please give me real answers and not spam (those who spam will get reported)
Please SHOW your work
The formula for the question below is A=Pe^rt
Answers
=======================================================
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
[tex]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\\\\[/tex]
[tex]0.03t = \ln(2)\\\\t = \frac{\ln(2)}{0.03}\\\\t \approx 23.1049060186649\\\\t \approx 23\\\\[/tex]
It will take about 23 years for the amount to double.
As a check,
[tex]A = 1000e^{0.03t}\\\\A \approx 1000e^{0.03*23.104906}\\\\A \approx 1,999.9999988806\\\\A \approx 2000\\\\[/tex]
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.
Related Questions
What is the 97th term of the arithmetic sequence -16,2,20
Answers
Answer:
1712
Step-by-step explanation:
Given arithmetic sequence is: -16,2,20
Here, a = - 16, d = 2 - (-16) = 2+ 16 = 18
n = 97, [tex] a_{97}=?[/tex]
[tex]\because a_n = a + (n-1)d\\\\
\therefore a_{97}= - 16 + (97-1)\times 18\\\\
\therefore a_{97}= - 16 + 96\times 18\\\\
\therefore a_{97}= - 16 + 1728\\\\
\therefore a_{97}=1,712\\\\[/tex]
Answer:
1712
Step-by-step explanation:
Formula of the sequence:
[tex]a_{n}=18n-34\\a_{97}=18(97)-34\\a_{97}=1712[/tex]
So 1712 is the 97th term
Not related to math:
Whats a good middle name for Asher? Its a boy name and its for a boy, we need suggestions C:
Answers
In a school choir there is 1 boy for every 4 girls. There is a total of 11 boys. How many girls are in the choir.
Answers
Answer:
44 Girls
Step-by-step explanation:
Which product is positive?
Answers
Answer:
we need to see the product to be able to help you!
Multiply (3) × (−4) × (2).
Plz
Answers
Answer:
-24
hope this helped! :3
Step-by-step explanation:
3 x -4 = -12
-12 x 2 = -24
Answer:
3× -4 = -12
-12 × 2=-24
Step-by-step explanation:
follow your sign discriptively take notice in change of ur sign.
+× - = -
- × - = +
+ × + = +
- × + = -
It is possible for a quadratic function to have NO x-intercepts
Answers
Answer:
yes
Step-by-step explanation:
if they do not have x intercepts, the answer will have an imaginary number (i)
the question is in the photo
Answers
is it me or is the photo not showing?
Answer:
no photo lol
Step-by-step explanation:
Suppose the national average dollar amount for an automobile insurance claim is $758.83. You work for an agency in Michigan and you are interested in whether or not the state average is less than the national average. The hypotheses for this scenario are as follows. Null Hypothesis: μ ≥ 758.83, Alternative Hypothesis: μ < 758.83. You take a random sample of claims and calculate a p-value of 0.0349 based on the data, what is the appropriate conclusion? Conclude at the 5% level of significance.
A. The true average claim amount is significantly higher than $758.83.
B. The true average claim amount is higher than or equal to $758.83.
C. We did not find enough evidence to say the true average claim amount is less than $758.83.
D. The true average claim amount is significantly different from $758.83.
E. The true average claim amount is significantly less than $758.83.
Answers
Answer:
The correct option is E
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = \$ 758.83[/tex]
The null hypothesis is [tex]H_o : \mu \ge 758.83[/tex]
The alternative hypothesis is [tex]H_a : \mu < 758.83[/tex]
The p-value is [tex]p-value = 0.0349[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
Generally from the value given we see that the p-value < [tex]\alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
The true average claim amount is significantly less than $758.83.
2 mi = ____ ft Please help! :((
Answers
Answer:
2 mi = 10560 ft
Step-by-step explanation:
you coulve searched it up
Answer:
you multiply it by 2 so its 10560
PLEASE HURRY WILL GIVE BRAINLEST
What is the gross earnings for a person who has $26,480 in total sales, $1250 in Returns and Allowances, and a rate of commission of 7%?
Answers
Answer:
2317.000.00
Step-by-step explanation:
Write the word or phrase that best completes each statement or answers the question.
Answers
help me pls!! thank you!!
Answers
Answer:
J) y=4/3x+2
Step-by-step explanation:
The initial value is 2 so the y-intercept should be at (0, 2)
The slope is 2/1.5=1.3333
4/3=1.3333 so 2/1.5=4/3
y=mX+b
m= slope
b= Initial Value
Solve for h .
-98 = -7 h
h =
Answers
Answer:
14
Step-by-step explanation:
Step 1:
- 98 = - 7h Equation
Step 2:
- 98 ÷ - 7 = h Divide on both sides
Answer:
h = 14
Hope This Helps :)
Answer:
Step-by-step explanation:
Here you go mate
Step 1
-98=-7h Equation/Question
Step 2
-98=-7h Simplify
-98=-7h
Step 3
-98=-7h Divide both sides
answer
h=14
What equation represents the proportional relationship displayed in the table ?
Answers
Answer:
y=5x
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
When you divide each y-value by its corresponding x-value, you get 5.
For example, 10/2 = 5; 20/4 = 5
y is always 5 times x.
y = 5x
Answer: 5
Based on a large national sample of working adults, the U.S. Census Bureau reports the following information on travel time to work for those who do not work at home. Also given was the mean travel time, which was reported as 23.4 min.
Lower quartile 7 min
Median 18 min
Upper quartile 29 min
What is true of the travel time distribution?
A. It is positively skewed
B. It is approximately symmetric
C. It is negatively skewed
Answers
Answer:
Step-by-step explanation:
H3Y TH3R3 D1L1GH74 WH4T5 1T 71K3 1N NYC 1M 4 TH0US4-
Based on the graph, what does the point (0, 0) represent
Answers
Answer:
you didn't post the graph but (0,0) is the origin
Answer:
ok
Step-by-step explanation:
What is the degree of the polynomial 2x6+5x3−x2+100?
Answers
Answer: 25x+10?
Step-by-step explanation:
Answer:
uikjhukcopllpp
Step-by-step explanation:
pp98ii9ijjhhhjigctuicico8
Rob is saving to buy a new MP3 player. For every $14 he earns babysitting, he saves $8. On Saturday, Rob earned $28 babysitting. How much money did he save?
Answers
Answer:
$16
Step-by-step explanation:
If he saves $8 for every $14, he earned $28, which is twice the $14, he will save twice the $8 or $16.
Use the equation machine to help you solve the
addition equation.
O k=8
Ok=9
O k=17
O k=2
For 100 points
Answers
Answer: k=8
Step-by-step explanation:
Answer:
k=8
Step-by-step explanation:
8. Lisa types 6 pages in 36 minutes. Frank types 5 pages in 30 minutes. Do they type at the same rate? Use a proportion to explain.
Answers
Answer:
Yes
Step-by-step explanation:
Lisa and Frank type at the same rate.
They both type 1 page every six minutes.
Lisa types 6 pages every 36 minutes, and if we divide the minutes by the pages, we get
[tex]\frac{36}{6} = 6[/tex]
And Frank types 5 pages ever 30 minutes, when we divide we get
[tex]\frac{30}{5} = 6[/tex]
Find the value of the variable that results in congruent triangles
1.
Answers
Answer:
x = 26
Step-by-step explanation:
m<B = m<E = (x + 17)°
180 - (25 + 112) = (x + 17) (sum of ∆)
180 - 137 = x + 17
43 = x + 17
Subtract both sides by 17
43 - 17 = x
x = 26
40 Points answer fast
I will mark brainliest answer quickly
A carton has a length of fraction 2 and 1 over 4 feet, width of fraction 1 and 3 over 5 feet, and height of fraction 2 and 1 over 3 feet. What is the volume of the carton?
A: 4 and 1 over 3 cubic feet
B: 4 and 2 over 5 cubic feet
C: 8 and 1 over 4 cubic feet
D: 8 and 2 over 5 cubic feet
Answers
Answer:
c
Step-by-step explanation:
hope it helps
Determine whether the relationship is a function. Complete the explanation.
(0, 4), (8, 8), (3, 2), (9, 1), (8, 7)
Answers
Answer:
the relationship is not a function
Step-by-step explanation:
it's not a function because two of the domains are the same.
The relationship represented by these ordered pairs is not a function.
We have,
To determine whether the relationship is a function, we need to check if each input (x-value) is associated with exactly one output (y-value).
If there is any x-value that is associated with multiple y-values, then the relationship is not a function.
Let's analyze the given set of ordered pairs:
(0, 4), (8, 8), (3, 2), (9, 1), (8, 7)
Here, we can see that the x-value 8 is associated with both y-values 8 and 7.
Therefore, the relationship is not a function because one input (x-value) is mapped to multiple outputs (y-values).
In a function, each input must have a unique output, but in this case, the x-value 8 is associated with both 8 and 7 as the corresponding y-values.
Thus,
The relationship represented by these ordered pairs is not a function.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ2
A bank manager is interested in the average length of time that customers are willing to wait in line before they give up and leave the bank. Match the vocabulary word with its corresponding example.
The average length of time that the 25 customers waited before leavingthe bank
The list of times for the 25 customers who left the bank
All of the bank's customers
The 25 customers that the manager observed leave
The length of time a customer waits before leaving the bank
The average length of time that all customers will wait before leaving the bank
a. Parameter
b. Variable
c. Sample
d. Population
e. Statistic
f. Data
Answers
Answer: The average length of time that the 25 customers waited before leaving the bank. e. Statistic
The list of times for the 25 customers who left the bank. f.Data
All of the bank's customers d. Population
The 25 customers that the manager observed leave. c. Sample
The length of time a customer waits before leaving the bank. a. Variable.
The average length of time that all customers will wait before leaving the bank a. Parameter
Step-by-step explanation:
A data is a list of observations.
In statistics, a variable is an attribute that defines a person, place, thing, or thought.
A large group that have similar individuals as per the researcher's point of view is known as population, where its subset is known as sample.
The measure of certain characteristic in population is known as parameter, where for sample it is known as statistic.
The correct description of the given examples are:
The average length of time that the 25 customers waited before leaving the bank.
e. Statistic
The list of times for the 25 customers who left the bank.
f. Data
All of the bank's customers
d. Population
The 25 customers that the manager observed leave.
c. Sample
The length of time a customer waits before leaving the bank.
a. Variable.
The average length of time that all customers will wait before leaving the bank
a. ParameterWe can see that a bank manager is interested in finding out the average wait time which each customer has to wait and we can see that this is known as a parameter.
Read more about variables here:
https://brainly.com/question/3766847
50 POINTS AND BRAINLIEST
The legs of a right triangle are 4 meters and 5 meters. Find the length of the hypotenuse. Round your answer to the nearest tenth.
6.0 meters
6.3 meters
6.4 meters
6.5 meters
6.6 meters
None of the above.
Answers
Answer:
uh is it 6.5???
Step-by-step explanation:
PLEASE HELP RN! 50 POINTS IF YOU ANSWER THIS IS DUE TODAY
Answers
Answer:
I graphed this...
Step-by-step explanation:
It is not linear because it is not a strait line and it doesnt go through the middle!
Hope this helps! :)
What is the value of | -5 | - (-5)?
Answers
The absolute value of any number is always positive
5-(-5)
When there is a in front of an expression in parentheses, change the sign of each term in the expression
5+5
Add the numbers
10
Answer=10
Franklin made $165,000 for the tax year
2017. How much did he pay in FICA taxes ?
Answers
Answer: $10,278.90
Step-by-step explanation:
FICA taxes comprise of both the Social Security tax and the Medicare tax rate which in 2017 were 6.2% and 1.45% of income respectively.
The Social security portion is subject to a limit of $127,200 in income but there is no limit for the Medicare tax.
Franklin FICA = (127,200 * 6.2%) + (165,000 * 1.45%)
= 7,886.40 + 2,392.50
= $10,278.90
s - 185 = -22
UwU help meh
Answers
Answer:
I believe you solve for s, the answer is s=136, please let me know if I am incorrect.
s- 185= -22
You would have to get the variable (s) on its own, so add 185 to both sides.
s= -22 +185= 163
Molly shared a spool of ribbon with 12 people. Each person received 3 feet of ribbon. Which equation can she use to find
r, the number of feet of ribbon that her spool originally had?
Answers
Answer: R/12=3
Step-by-step explanation: This is because / = divide so since we need to divide then multiply its better you go with /
Answer:D
Step-by-step explanation: