I went to two different banks to find the best savings program. td bank offered my 6% interest for 7 years and wells fargo offered me 5% interest for 9 years. if i deposit $10,000, which bank has the better program to make me the most money? how much more money will i make at one bank than the other? round to the nearest dollar.
Answers
The difference between the two banks is you will make $367 more at Wells Fargo than at TD Bank, to determine which bank has the better savings program, let's compare the total interest earned at TD Bank and Wells Fargo.
TD Bank offers a 6% interest rate for 7 years, while Wells Fargo offers a 5% interest rate for 9 years. If you deposit $10,000, we can calculate the total interest earned at each bank using the formula for compound interest:
A = P(1 + r/n)^(nt)
Where A is the future value of the investment, P is the principal amount ($10,000), r is the annual interest rate, n is the number of times interest is compounded per year, t is the number of years, and "^" denotes exponentiation.
Assuming annual compounding (n = 1), the calculations for each bank are as follows:
TD Bank:
A = $10,000(1 + 0.06/1)^(1*7)
A = $10,000(1.06)^7
A = $15,018.93
Wells Fargo:
A = $10,000(1 + 0.05/1)^(1*9)
A = $10,000(1.05)^9
A = $15,386.16
Comparing the two banks, Wells Fargo's savings program will make you the most money, with a future value of $15,386.16. The difference between the two banks is:
Difference = Wells Fargo - TD Bank
Difference = $15,386.16 - $15,018.93
Difference = $367.23
Rounding to the nearest dollar, you will make $367 more at Wells Fargo than at TD Bank. Therefore, Wells Fargo has the better savings program in this scenario.
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Related Questions
THE ONE TOOTH !!!!!!
Answers
Answer:
Yikes!
Step-by-step explanation:
⚆ _ ⚆ ⚆ _ ⚆ ⚆ _ ⚆ ⚆ _ ⚆ ⚆ _ ⚆ ⚆ _ ⚆ ⚆ _ ⚆ ⚆ _ ⚆ ⚆ _ ⚆ ⚆ _ ⚆ ⚆ _ ⚆ ⚆ _ ⚆ ⚆ _ ⚆ ⚆ _ ⚆
⚆ _ ⚆
Find the rule for the following sequence, and then find the 10th term of the sequence.
Sequence: 1/2, 2, 9/2, ....
Answers
Step-by-step explanation:
1/2, 2, 9/2, ....
equivalent with :
½, 4/2, 9/2, ...
the rule is : Un = n²/2
so, U10= 10²/2 = 100/2= 50
PLWASE HELP PLEASE PLEASE
Answers
Answer:
66 in^2
Step-by-step explanation:
Imagine that the figure is a whole square, where the space between is filled in.
Find the area of the imaginary square (l x w):
9 in. x 9 in. = 81 in^2
Lets make that whole square the original figure it used to be (take away the space we “filled in”)
Lets find the area of the space we filled in:
5 in x 3 in= 15 in^2
Subtract the imaginary square’s area by the area of the space that was originally blank:
81 in^2 - 15 in^2 = 66 in^2
66 in^2 IS YOUR FINAL ANSWER, that is the real area of the composite figure you have.
Hope this helps!
Solve for t
18,000=9000(1.003)^12t
Answers
Answer:
t=1.92938456
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
If f(x) = 3x-6 and g(x) = 1/3x+1, then (g(f))^-1 (x) equals.
1-x
1/3(3x-1)
(x+1)
(x-1)
Answers
We need to find the inverse of the function gof (x). First we need to find the composite function gof (x) which is given by:
\(g(f(x)) = g(3x - 6)\)
= \((1/3)(3x - 6) + 1\)
= x - 1 + 1
= x
Thus,
gof (x) = x.
Now we need to find the inverse of the function gof (x) to obtain
\((gof)^-1 (x).\)
We have gof (x) = x
which implies\((gof)^-1 (x)\)
= gof (x)^-1
= x^-1
= 1/x,
x ≠ 0
Therefore,
\((gof)^-1 (x) = 1/x\)
which is option (3) (x+1) since 1/x can be written as 1/(x+1-1), where (x+1-1) is the denominator of 1/x.
Hence, the correct option is (3).
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To find (g(f))^-1 (x), substitute the expression for f(x) into g(x) and simplify. The composition of g(f) is x and its inverse is also x. Therefore, (g(f))^-1 (x) equals x.
Explanation:To find (g(f))^-1 (x), we need to first find the composition of g(f) and then find its inverse. Start by substituting the expression for f(x) into g(x): g(f(x)) = g(3x-6) = \frac{1}{3}(3x-6) + 1 = x - 1 + 1 = x. So, g(f(x)) = x. Now, to find the inverse of g(f), we switch the x and y variables and solve for y: y = x. Therefore, (g(f))^-1 (x) = x.
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At an outdoor party location, the tables seat 12 guests each. The party host invited 163 people and 9 people responded that they would not attend. What is the fewest number of tables needed to seat all of the guests attending the party?
Answers
Answer:B
Step-by-step explanation:
if a t test yields p > 0.05 the null hypothesis would normally be: select one: a. accepted. b. rejected. c. accepted under certain conditions. d. there is not enough information for you to evaluate the findings.
Answers
if a t test yields p > 0.05 the null hypothesis would normally be option (A) accepted
The null hypothesis defined as the types of hypothesis that do not have any statistical significance exist in the given set of observation.
The p value is defined as the measurement that is used to validate the hypothesis using the observed data. The range of the p value varies from zero to one. Zero means no chance and 1 means absolute certainty
If a t test yields a p-value greater than 0.05, it means that there is insufficient evidence to reject the null hypothesis, and the results are not statistically significant. Therefore, the null hypothesis is accepted.
Therefore, the correct option is (A) accepted
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at an academically challenging high school, the average gpa of a high school senior is known to be normally distributed with a variance of 0.45. a sample of 15 seniors is taken and their average gpa is found to be 2.83. assume that and . the 90% confidence interval for the population mean gpa is:
Answers
The 90% confidence interval for the population mean gpa is [2.545,3.114].
The confidence interval for population mean is:
µ ± z* . σ/√n
Where, μ is population mean, σ is standard deviation, z* is the value of z-score and n is number of samples.
The z-score value for 90% confidence interval is 1.645.
The average gpa is found to be 2.83, so μ=2.83. The variance is 0.45, it means
σ² = 0.45
σ = √0.45
σ = 0.67
The 90% confidence interval for population mean is:
2.83 ± 1.645 . 0.67/√15
[2.83 - 1.645.0.67/√15 , 2.83+1.645.0.67/√15]
[2.545 , 3.114]
Therefore, the 90% confidence interval for the population mean gpa is :
[2.545 , 3.114]
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4
Drag each option to the correct location on the image.
Match the expenses to their respective categories.
Need
tuition and fees
staple foods
Want
Lamborghini
vacation
lavish wedding
Answers
Answer:
NEED:
Tuition and Feesstaple foodsWANT:
VacationLamborghini Lavish WeddingStep-by-step explanation:
Right on Plato! <3
Have a wonderful day!
The needs listed are tuition and fees and staple foods, while the wants are a vacation, a Lamborghini, and a lavish wedding.
The listed needs and wants reflect different aspects of a person's life and priorities. "Tuition and Fees" and "Staple Foods" are necessities that are essential for a person's survival and well-being.
On the other hand, "Vacation," "Lamborghini," and "Lavish Wedding" are desires that are often seen as luxury items or experiences. While having wants is normal and human, it is important to understand that not all wants can be fulfilled, and it is equally important to prioritize needs over wants. Having a balanced approach to spending, budgeting, and financial planning can help ensure that both needs and wants can be met in a sustainable manner.
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To build your own capacitor, you have cut your sheets of wax paper and aluminum foil to a length of L = 0.8 m and you are rolling them on a pipe of diameter D = 5 cm. What is the number of turns? -n = 2.6 -n = 20.4 -n = 5.1 -n=10.2
Answers
The number of turns in the capacitor is approximately 5.1.
How we get the number of turns (n)?The number of turns in the capacitor can be calculated using the formula:
n = L / [π(D + t)]where L is the length of the sheets, D is the diameter of the pipe, and t is the thickness of the sheets.
Using the provided values, we can calculate the number of turns as follows:
L = 0.8 mD = 5 cm = 0.05 mt = negligible (assumed to be much smaller than D)n = 0.8 / [π(0.05)]= 5.092 (rounded to one decimal place)
In this problem, we are asked to calculate the number of turns in a capacitor made from sheets of wax paper and aluminum foil that are rolled on a pipe of diameter 5 cm. We are given the length of the sheets as 0.8 m.
To calculate the number of turns, we can use the formula that relates the length of the sheets, diameter of the pipe, and thickness of the sheets to the number of turns in the capacitor. Assuming the thickness of the sheets is much smaller than the diameter of the pipe, we can ignore the thickness in the calculation.
Using the provided values and this formula, we find that the number of turns is approximately 5.1. This means that the sheets need to be rolled around the pipe about 5 times to create the capacitor.
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Lydia guessed there were 180 jelly beans in a container. There were actually 220 jelly beans in the container. What was Lydia's percent error? (solve the same way as percent of change but the actual amount is the denominator)
Answers
Answer:
around 82% correct 12% incorrect or 9/11 correct 2/11 incorrect!
Step-by-step explanation:
Use the diagram to answer the question.
The measure of ∠1
∠
1
is 62°
62
°
. What is the approximate value of n
n
?
Answers
Applying the definition of a linear pair, the value of n is calculated as: n = 41.33.
What is a Linear pair?A linear pair consist of two angles that are on a straight line and also have a sum of 180 degrees.
The missing diagram is in the attachment provided below which shows the angles in question.
Angle 1 and (3n - 6) are two angles on a straight line, therefore, they are a linear pair. This also implies that they will have a sum of 180 degrees.
Therefore, we have:
62 + 3n - 6 = 180
Solve for the value of n:
56 + 3n = 180
3n = 180 - 56
3n = 124
n = 124/3
n = 41.33
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birth statistics include statistics on both live births and fetal deaths. True or false
Answers
True. Birth statistics typically include data on both live births and fetal deaths.
Fetal deaths refer to the loss of a pregnancy before the fetus is delivered and can be classified as either early or late fetal deaths, depending on the gestational age at the time of the loss. While the focus of birth statistics is often on live births, tracking fetal deaths is important for monitoring the health of pregnant women and identifying potential risks or problems with pregnancy. In the United States, fetal death statistics are typically collected by state health departments and reported to the National Vital Statistics System. These statistics provide important information for researchers, healthcare providers, and policymakers working to improve maternal and fetal health outcomes.
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A light bulb manufacturer randomly checks light bulbs. Of 1,000 light bulbs checked, 30 light bulbs are defective. How many light bulbs will most likely be defective in a batch of 3,500?
A. 60
B. 105
C. 120
D. 180
Answers
Answer:
105
Step-by-step explanation:
(30/1000) * 3500 = 105
Cleveland, OH, where the maximum and minimum temperatures were 70
∘
F and 58
∘
F respectively, experienced a mean temperature of
∘
F (round up if necessary). a. 58 b. 60 c. 64 d. 66 11. The mean temperature derived from the maximum and minimum temperatures at Cleveland indicates degree days were accumulated. a. heating (HDD) b. cooling (CDD) 12. Therefore, Cleveland accumulated degree day(s) on 6-7 September 2022. a. 0 b. 1 c. 3 d. 7 13. Based on the plotted temperatures across the rest of Ohio, remaining stations HDD on 6-7 September 2022. a. accumulated b. did not accumulate You can observe and calculate HDD or CDD as we progress into the fall and through the winter. Wind Chill HDD and CDD values and their effect on homeowners' utility bills may stress tight budgets through the seasons. Since energy bills are dependent on the human who uses the energy, another factor for homeowners to consider when budgeting energy consumption is wind chill. The wind chill is an air temperature index that takes into account heat loss from exposed skin caused by the combined effect of wind and low air temperature. Outdoors, the cooling effect of wind along with the ambient temperature is reflected by using the wind chill equivalent temperature. Go to NWS Daily Weather Map for the most recent map. The pane to the left allows you to select any date back to 1 January 2003. Each day's map series includes the surface map, colorcoded maps of maximum and minimum temperatures, mid-tropospheric flow at the 500−mb level, and total precipitation. The surface and 500−mb maps are for 12Z(8a.m. EDT or 7a.m. EST, etc.) while the temperatures and precipitation maps are for the entire day. Clicking on the maps opens a more detailed map. Bring up the daily weather map set for 23 January 2022 . Scroll down and click on either the Maximum or Minimum Temperature map. 14. For 23 January 2022, on the North Dakota-Minnesota border, Fargo had a minimum temperature of −25
∘
F. With the minimum temperature there, assume Fargo was experiencing a wind speed of 10mph. With the NWS Wind Chill Chart in Figure 4A-5 from Investigation 4A, the wind chill for this combination of temperature and wind speed would have been
∘
F. a. −16 b. −20 c. −35 d. −41 e. −47
Answers
The mean temperature in Cleveland, OH, was 64°F. The accumulated degree days for Cleveland on 6-7 September 2022 were 1. The rest of Ohio accumulated degree days during the same period.
Based on the given information, the maximum temperature in Cleveland was 70°F and the minimum temperature was 58°F. To find the mean temperature, we add the maximum and minimum temperatures and divide by 2: (70°F + 58°F) / 2 = 128°F / 2 = 64°F.
Degree days are a measure of heating or cooling requirements. In this case, since the mean temperature in Cleveland was lower than a certain base temperature, degree days were accumulated. The base temperature is typically set at 65°F for cooling and 55°F for heating. Since the mean temperature in Cleveland was below the base temperature, the accumulated degree days are heating degree days (HDD).
For the specific date of 6-7 September 2022, Cleveland accumulated 1 heating degree day (HDD). This means that the average temperature for that period was 1 degree below the base temperature of 55°F.
The remaining stations in Ohio also accumulated heating degree days (HDD) on 6-7 September 2022. This indicates that the temperatures across the rest of Ohio were below the base temperature during that period.
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Can I please get help with this?
Answers
Answer:
47
Step-by-step explanation:
52-5= 47
???
sorry if this isnt what u mean.
H. Write an equation that would change the value of the 0 in 1.504 to 0 ones.
Answers
Answer:
1.504 x 100 = 150.4
Explanation:
By multiplying the number by 100, we are moving the decimal two places to the right, which will make 0 in the one's place.
1.504
^ Here, 1 is in the one's place
150.4
^ Here, 0 is in the one's place
(Hint, the one's place is right in front of the decimal point)
use the central limit theorem to find the mean and standard error of the mean of the indicated sampling distribution. the monthly rents for studio apartments in a certain city have a mean of and a standard deviation of . random samples of size are drawn from the population and the mean of each sample is determined. round the answers to the nearest hundredth.
Answers
To use the central limit theorem to find the mean and standard error of the mean of the sampling distribution, we need to know the mean (μ) and standard deviation (σ) of the population, as well as the sample size (n).
Given that the monthly rents for studio apartments in a certain city have a mean of μ and a standard deviation of σ, we can use these values to find the mean and standard error of the mean for random samples of size n.
The mean of the sampling distribution will still be μ, as the central limit theorem states that the sampling distribution of the mean will be normally distributed with a mean equal to the population mean.
The standard error of the mean (SE) is calculated by dividing the population standard deviation (σ) by the square root of the sample size (n).
So, SE = σ / √n.
In this case, you haven't provided the values for the mean and standard deviation of the population, nor the sample size. Please provide those values so I can calculate the mean and standard error of the mean for you.
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What is the value of \(x\)?
![What is the value of [tex]x[/tex]?](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/pX16QTMSL057H04ZALYo8kEYQnzMizmh.png)
Answers
Answer:
\(\angle DPB = 47\textdegree\)
Step-by-step explanation:
Since both \(\angle DPB\) and \(\angle BPC\) are supplementary (two angles that equal 180°) and you need to find the missing measurement for \(\angle DPB\), subtract the measurement of \(\angle BPC\) from 180:
\(180\textdegree - \angle BPC = \angle DPB\)
\(180\textdegree - 133\textdegree = 47\textdegree\)
\(\angle DPB = 47\textdegree\)
-
How do you write 0.8 as a fraction
Answers
Write 0.8 as 0.8/1.
Multiply the numerator and denominator by 10 for each digit after the decimal point:
\(\boldsymbol{\sf{\dfrac{0.8}{1}=\dfrac{0.8\times10}{1\times}=\dfrac{8}{10} }}\)
To reduce the fraction, we find the greatest common factor (GCF) for 8 and 10. A factor is just a number that is divided into another number without any remainder.
The factors of 8 are: 1,2,4,8The factors of 10 are: 1, 2, 5, 10The greatest common factor (GCF) for both 8 and 10 is: 2.
Now, to reduce the fraction, we divide both the numerator and denominator by the value of the GCF.
\(\boldsymbol{\sf{\dfrac{8}{10}=\dfrac{8\times2}{10\times2}=\dfrac{4}{5} }}\)
As a side note, the integral part of the integer is: empty
The decimal part is: 8 = ⁸/₁₀
Complete breakdown of simple fractions: 80/100
= 8/10
= 4/5
\(\red{\boxed{\green{\boxed{\boldsymbol{\sf{\purple{Pisces04 }}}}}}}\)
Candice spent 3 ⅘ hours, and Shane spend 2 ⅒ hours at track practice over the weekend. How many more hours did Candice spend than Shane at track practice?
Answers
Answer:
1 7/10
Step-by-step explanation:
3 4/5 you have to times the fraction be to so it would be 3 8/10 so now you would take your 2 1/10 and subtract so it would be 1 7/10
Laura has let out 60 m of her kite string, which makes an angle of 68º with the ground. What is the height of the kite?
Answers
Answer:
55.6mStep-by-step explanation:
The set up will form a right angled triangle. The distance that Laura let out her kite string will be the hypotenuse of the triangle, the angle that the kite makes with the ground will be the angle of elevation, facing the height of the kite.
The height of the kite H, will be the opposite side of the triangle since it is facing the angle directly. based on the trig identity SOH;
sintheta = opposite/hyp
sin68° = H/60
H = 60sin68°
H = 55.6m
The height of the kite is 55.6m
Let A, B, C be three sets such that A U B = C & A ∩ B = φ then how do you prove that A = C – B?
Answers
When A U B = C & A ∩ B = φ, then A = C - B. The solution has been obtained by using properties of sets.
What is a set?
In mathematics, a set is a logically arranged group of items that can be represented in either set-builder or roster form. Curly brackets are typically used to represent sets.
We know that
A - B = (A ∪ B) - B
On substituting A U B = C in this, we get
A - B = C - B ...(1)
Similarly,
A - B = A - (A ∩ B)
On substituting A ∩ B = φ in this, we get
A - B = A ...(2)
From (1) and (2), we get
A = C - B
Hence, when A U B = C & A ∩ B = φ, then A = C - B.
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Help me PLEASEEE I need help
Answers
Answer:
area of shaded portion=56 - 1/2 ×3×4=56-6= 50 yd^2
The volume of a cylinder, V, in terms of radius, r,
and height, h, is given by V = πr 2
h. If a cylinder has
a height of 6 meters, express the radius as a function
of V and find the radius of a cylinder with volume of
300 cubic meters.
Answers
Answer:
See explanation
Step-by-step explanation:
Volume of a cylinder = πr²h
Solve for r
V = π * r² * h
r² = V/πh
Find the square root of both sides
r = √V/πh
If height = 6 meters and volume = 300 cubic meters. Find r
r = √V/πh
= √(300/3.14*6)
= √(300/18.84)
= √15.923566878980
r = 3.9904344223381
Approximately,
r = 4 meters
Find the distance between the two points. Round to the nearest tenth. (-1, 4) and (1, -1)
Answers
Step-by-step explanation:
The distance between two point (x_1, y_1) and (x_2, y_2) is
\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
Therefore, the distance between (-1,4) and (1,-1) is
\(d=\sqrt{(1-(-1))^2+(-1-4)^2}=\sqrt{4+25}=\sqrt{29}=5.4\)
p + 0.4 = −6 Solve for p.
Answers
Answer:
q=-6.4
Step-by-step explanation:
If you need proof or don't understand I can edit it just tell me.
In the diagram, what is the measure of WRS?V3.)(5x)" B(25x + 30)S
Answers
Angles TRS and TRV are supplementary, that is,
m∠TRS + m∠TRV = 180°
(25x + 30) + (5x) = 180
(25x + 5x) + 30 = 180
30x = 180 - 30
x = 150/30
x = 5
Angles TRV and WRS are vertical angles, then they are congruent, that is,
m∠TRV = m∠WRS
5x = m∠WRS
5*5 = m∠WRS
25° = m∠WRS
What is m∠H? (Must give Explanation)
Answers
Answer:
95°
Step-by-step explanation:
x+49+x+59=180
2x+108=180
2x=180-108
2x=72
x=72/2=36
m L H = x+59=36+59=95°
Time (econds)
8. The table shows a person's annual
salary y (in thousands of dollars) after x
years of education beyond high school.
What is the annual salary,
Years of
of the person after Education Salas
8 years of education
beyond high school?
Annual
Answers
Answer:
76 the pattern goes in 12s every two years
Step-by-step explanation:
64 plus 12 is 76