Jenny deposits $50,000 into an account that pays simple interest at a rate of 2% per year.
Frank deposits $50,000 into an account that also pays 2% interest per year. But it is compounded annually.
Find the interest Jenny and Frank earn during each of the first three years.
Then decide who earns more interest for each year.
Assume there are no withdrawals and no additional deposits.
Answer:
Jenny will earn $ 1,000 in interest each year, while Frank will earn $ 1,000 the first year, $ 1,020 the second, and $ 1,040.40 the third.
Step-by-step explanation:
Since Jenny deposited $ 50,000 into an account that pays simple interest at a rate of 2% per year and Frank deposited $ 50,000 into an account that also pays 2% interest per year but it was compounded annually, to find the interest Jenny and Frank earn during each of the first three years and decide who earns more interest for each year assuming there are no withdrawals and no additional deposits, the following calculation must be performed:
Jenny:
Year 1 = 50,000 x 1.02 = 51,000
Year 2 = 50,000 x 1.02 = 51,000 + 1,000 = 52,000
Year 3 = 50,000 x 1.02 = 51,000 + 2,000 = 53,000
Frank:
Year 1 = 50,000 x 1.02 = 51,000
Year 2 = 51,000 x 1.02 = 52,020
Year 3 = 52,000 x 1.02 = 53,060.40
A random sample of 200 adult residents in the U.S reveals that the mean minutes of sleep they received the night prior to the interview was 528 minutes with a standard deviation of 141 minutes. Using a computer, a random sample of 200 observations was taken (with replacement) from these data and an average was computed and recorded. This was repeated 10,000 times and a visualization was made of this sampling distribution. The mean of the sampling distribution was 528 minutes and the standard deviation was 10 minutes. The sampling distribution was symmetric and unimodal. Which of the following is an approximate 95% confidence interval for the mean amount of sleep of all US residents?
a. Lower bound: 528-141, upper bound: 528+141; (387, 669)
b. Lower bound: 528-10, Upper bound: 528+10; (518,538)
c. Lower bound: 528-20141, upper bound: 528 * 2*141; 246,810)
d. lower bound: 528-2-10, upper bound: 528+2*10; (508, 548)
Answer:
d. lower bound: 528-2-10, upper bound: 528+2*10; (508, 548)
Step-by-step explanation:
The computation of the approximate 95% confidence interval is shown below:
Given that
mean = 528,
standard deviation = 10
[tex]Mean \mp z_{\frac{0.05}{2}}\times standard\ deviation \\\\=528 \mp 2 \times 10\\\\=(508,548)[/tex]
hence, the correct option is d.
The confidence interval gives a range of estimate for the true population mean at a given confidence level. The confidence interval for the mean is lower bound: 528-2-10, upper bound: 528+2*10; (508, 548)
The confidence interval for the mean is obtained using the relation :
μ ± Z*σZ* = 95% critical level = ±1.96μ = sample mean = 528σ = standard deviation = 10 minutesPlugging in the values :
528 ± (1.96 × (10))
Approximating Z* (1.96) = 2.00
Lower boundary = 528 - (2 × 10) = 528 - 20 = 508
Upper boundary = 528 + (2 × 10) = 528 + 20 = 548
Therefore, the confidence interval is lower bound: 528-2-10, upper bound: 528+2*10; (508, 548)
What is the value (34)3
Answer:
(34)3 OR 34 x 3 = 102
Step-by-step explanation:
Hope this helps! :)
Answer:
Well..
Step-by-step explanation:
34x3 102
Hope this helps!
Emma bought 7 notebooks for $8.75. How much would 2 notebooks cost?
Answer:
$2.50
Step-by-step explanation:
8.75 / 7= 1.25
1.25 * 2 =2.50
This is mathemiatci can you hep
Answer:
81-x=96-2x
x=15
m <1 = 66
m <2 = 66
Step-by-step explanation:
Choose the best answer. If necessary, use the paper you were given.
Question
At 8 a.m., the temperature in a city was -8 degrees Celsius (°C). At noon on the same day, the temperature in
the city was 2°C. What was the difference in temperature, in degrees Celsius, from 8 a.m. to noon in the city?
-6°C
2°C
4°C
10°C
Answer: 10°C
Step-by-step explanation:
[tex]-8-2=\\-10\\|-10|=10[/tex]
The difference in temperature, in degrees Celsius, from 8 a.m. to noon in the city is, 10°C
We have to give that,
At 8 a.m., the temperature in the city was -8 degrees Celsius (°C). At noon on the same day, the temperature in the city was 2°C.
Hence, the difference in temperature, in degrees Celsius, from 8 a.m. to noon in the city is,
d = |- 8 - 2|
d = |- 10|
d = 10
So, Option d; 10° C is correct.
To learn more about subtraction visit:
https://brainly.com/question/17301989
#SPJ4
Ricky spent $44 total on a baseball mitt and a ball. If the mitt cost
$2 more than 5 times the cost of the ball, find the cost of each
item.
Answer:
The baseball mitt was $37 and the ball was $7
Step-by-step explanation:
Let m represent the cost of the mitt and let b represent the cost of the ball
Set up a system of equations:
m + b = 44
m = 5b + 2
Solve by substitution by plugging in 5b + 2 as m in the first equation:
5b + 2 + b = 44
Solve for b:
6b + 2 = 44
6b = 42
b = 7
Plug in 7 into the first equation and solve for m:
m + b = 44
m + 7 = 44
m = 37
So, the baseball mitt was $37 and the ball was $7
If a country's saving rate increases, then in the long run\
a. both productivity growth and income growth increase.
b. only productivity growth increases.
c. only income growth increases.
d. neither productivity growth nor income growth increase.
Answer:
a. both productivity growth and income growth increase.
Step-by-step explanation:
In terms of economics, savings and investment has a direct relationship. The level of savings and investment go hand in hand. There exists a cycle running between the two of them. The amount saved from the savings are then invested in the investment. Low savings indicate that the economy has selected for the short term consumption. For long-term investment, more savings are intended that helps to be the backbone of the economy.
Molly Invested $50,000 in various stocks and bonds. She earned 15% on the bonds and 18% on the stocks. If Molly's total profit on both types of investment was $8,700, how much of the $50,000 did she invest bonds?
Pls help I’ll brainlest ASAP
Answer:
k=−479.56
Step-by-step explanation:
Answer:
479.56
Step-by-step explanation:
A, b birer sayı olmak üzere a. b =12 ise a+b nin en büyük ve en küçük değerini bulunuz?
Answer:
en büyük 13 en küçük 7 dir
Someone plz help been stuck on this question for the last 2 hours
Paul has $30,000 to invest. His intent is to earn 11% interest on his investment. He can invest part of his money at 7% interest and part at 13% interest. How much does Paul need to invest in each option to make a total 11% return on his $30,000?
7% interest =$?
13% interest =$?
Answer:
7% interest = $10,00013% interest = $20,000Step-by-step explanation:
First find out what an 11% return on $30,000 is.
= 11% * 30,000
= $3,300
Use simultaneous equations.
Assume the amount to be invested in to make a 7% interest is x and the amount for a 13% interest is y.
0.07x + 0.13y = 3,300
x + y = 30,000
y = 30,000 - x
0.07x + 0.13 (30,000 - x) = 3,300
0.07x + 3,900 - 0.13x = 3,300
0.07x - 0.13x = 3,300 - 3,900
-0.06x = -600
x = -600 / -0.06
x = $10,000
y = 30,000 - x
= 30,000 - 10,000
y = $20,000
47,258 redondear el decimal hasta la centésima más próxima
Answer:
I don't speak Spanish
Step-by-step explanation:
The diagram shows two congruent regular pentagons and part of a regular n-sided polygon A. Two sides of each of the regular pentagons and two side of A meet at the pint P. Calculate the value of n.
Answer:
n=10
Step-by-step explanation:
For a regular polygon with n sides, each interior angle, x, is given by
[tex]x=180\frac{n-2}{n}[/tex]
This can be solved for n
[tex]n=\frac{360}{180-x}[/tex]
For the pentagons
x(5)=180(3/5)=108 degrees.
The angles around P sum to 360, so
2(x(5))+x(A)=360
x(A)=360-2(108)=144.
Substitue in the equation for n.
n=360/(180-144)=10
The number of sides in this polygon is 10.
For any polygon, the sum of interior angles is given as,
[tex]\bold{Sum\ of\ interior\ angles= {(n-2)}\times {180^o}}[/tex]
where,
n = number of sides,
We know that for a pentagon, the number of sides is 5.
thus, substituting the values in the sum of interior angle formula we get,
[tex]{Sum\ of\ interior\ angles= {(n-2)}\times {180^o}}[/tex]
[tex]{Sum\ of\ interior\ angles= {5-2}\times{180^o}}\\= 3 \times {180^o} = 540^o[/tex]
therfore, each angle in a regular pentagon,
[tex]\dfrac{Sum\ of\ interior\ angles}{Number\ of\ Sides} = \dfrac{540^o}{5} = 108^o[/tex],
Let's assume that polygon A is having x number of sides.
At point P, the sum of the angles must be 360°.
The sum of the angles at point P
= interior angle of the first pentagon
+ interior angle of the second pentagon
+ interior angle of the polygon A with x sides
Substituting the values,
360° = 108° + 108° + z
z = 360° - 108° - 108°
z = 144°
Thus, the interior angle of the x sided polygon is z = 144°.
For a regular polygon, all the interior angles are equal,
so, for a polygon with sides x.
the sum of interior angle = measure of interior angle x Number of sides
= [tex]144^o \times x[/tex]
Also, we know
[tex]{Sum\ of\ interior\ angles= {(n-2)}\times {180^o}}[/tex]
Substituting, the values for an x number of side polygon,
[tex]{Sum\ of\ interior\ angles= {(n-2)}\times {180^o}}\\{144^o \times x = {(x-2)}\times {180^o}}\\144x = 180x - 360\\360 = 180x- 144x\\x = \dfrac{360}{36}\\x = 10[/tex]
Hence, the number of sides in this polygon is 10.
To know more visit:
https://brainly.com/question/12749326
3 5 157 5 4 20 2 4 - 2 2- = 2 5 20 (Type wholebes hact fractions, or mi
Answer:
look on quizlet you will find your answer to there
25 less than 4 times a number is 47. What is the number?
Answer:
18
Step-by-step explanation:
25 + 47 = 72
72 ÷ 4 = 18
A local radio station conducted a survey about stay-at-home parents by randomly dialing home numbers on weekdays until responses from 500 adults were collected. Twenty-six percent of those who responded said they were stay-at-home parents. In reality, only four percent were actually stay-at-home parents at the time of the survey. Which of the following best explains the difference in the two percentages?
a. The difference is due to voluntary response. Adults are able to volunteer as members of the sample.
b. The difference is due to undercoverage bias. The survey included only adults with telephones.
c. The difference is due to response bias. Adults who are stay-at-home parents are likely to say they are employed outside the home.
d. The difference is due to sampling variability. We should not expect the results of a random sample to match the truth about the population every time.
e. The difference is due to nonresponse bias. Adults who are stay-at-home parents are more likely to be available for the sample than adults who are employed outside the home.
Answer:
The difference is due to nonresponse bias. Adults who are stay-at-home parents are more likely to be available for the sample than adults who are employed outside the home.
E on multiple choice
Step-by-step explanation:
A phone plan costs $10 per month, plus $0.03 per text message. John wants his phone bill to be less than $40, before taxes. What is the
maximum number of text messages John can send?
A.) 333
B.) 999
C.) 1,333
D.) 1,666
Answer:999
Step-by-step explanation:
0.03x999=29.97
29.97+10=39.97$
Answer:
39.97
Step-by-step explanation:
good morning!
(+64) + (+31) =
Answer:
95
Step-by-step explanation:
Answer:
Good morning to you too:)
Step-by-step explanation:
the answer is 95
At home Moses uses all his free time to play video games, road and skateboard. He spends 75% of his free
te reading. 12.5% of his free time is spent playing video games and he skateboards from 5:15PM to
5:45PM How much free time does Moses get in total?
Write the ratio ( 4/7 1/9 ) in the simplest form
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
El numero tal que su 35% es 7
no entendo ???????? isto
Karen is planting a tree. She wants to use two guy wires to stabilize the tree. If Karen places the guy wires 8 feet up the trunk and 7 feet from the base, how much total wire will she need for both guy wires? Round your answer to the nearest tenth.
Answer:
20 ft
Step-by-step explanation:
I need some help plz!!!
What is 3+3!!??!!??!!??!!??!!??!!??
Answer:
6
Step-by-step explanation:
cause 3+3 is 6
thanks for the easy points :3
Answer:
id.kkkkk.. maybe 5.. maybe 6...
:O
Plz helpppp!!!!! Much love
Answer:
B.
Step-by-step explanation:
A meter is 100 centimeters. How many
meters are equal to 712 centimeters?
Answer:
100×712 is equal to 71200
so the equality of 712 is 71200
Answer:
7.12 meters
Step-by-step explanation:
So 1 meter = 100 centimeter
To find how many meters are in 712 centimeters, you have to divide 712 by 100.
[tex]\frac{712}{100} = 7.12[/tex]
Therefore, 7.12 meters is equal to 712 centimeters.
Hope this helps!!
- Kay :)
Use long division to rewrite 5/8 as a terminating decimal
Answer:
0.625
Step-by-step explanation:
25 + 62 x 0.25
Evaluate the expression
Answer:
40.5
Step-by-step explanation:
25 + 62 x 0.25 =
25 + 15.5 =
40.5
25+62 × 0.25 = 40.5
62 × 0.25= 15.5
25 + 15.5 = 40.5
Three fourth of the students and an additional 18
students at the school purchased a spirit shirt during the
last fundraiser. If 336 shirts were ordered, how many
students are there in the school?
Answer:
424
Step-by-step explanation:
let 's' = number of students
3/4s + 18 = 336
3/4s = 318
3s = 1272
s = 1272/3 = 424