Tyler's savings account pays a simple annual interest rate of 3.25%. Suppose he deposits $5,000 in the
account and makes no additional deposits or withdrawals for 3 years. What will the total value of the account
be after 3 years?
Answers
Answer:
The total value of the account after 3 years will be $5,503.52.
Step-by-step explanation:
A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.
We know that the compound interest is given as
A = P(1 + r)ⁿ
Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.
Tyler's bank account pays a straightforward yearly financing cost of 3.25%. Assume he stores $5,000 in the record and sets aside no extra installments or withdrawals for a long time.
The total value of the account after 3 years will be calculated as,
A = $5,000(1 + 0.0325)³
A = $5,000 x (1.0325)³
A = $5,000 x 1.1007
A = $5,503.52
The total value of the account after 3 years will be $5,503.52.
Related Questions
Which of the following scores has the better relative position ( as measured by the z score) a. A score of 53 on a test for which the sample mean is 50. b. A score of 230 on a test for which the sample mean is 200. c. A score of 480 on a test for which the sample mean is 400. d. Cannot be determined with the information provided.
Answers
Answer:
d. Cannot be determined with the information provided.
Step-by-step explanation:
Z-score:
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Finding the better relative position:
The score with the better relative position is the one with a higher z-score.
To find the z-score, the mean and the standard deviation is needed, and in this question, the standard deviation is not given, and thus, the correct answer is given by option d.
Find the mean, the median, and the mode of each data set.
0 0 1 1 2 3 3 5 3 8 7
Answers
Answer:
mean is 3 median is 3 and mode is also 3
Step-by-step explanation:
brainliest helps
3 miles x 1760= ---------- yards
Answers
Answer: 5280 miles
Step-by-step explanation:
help fast 15 points Which value of n makes this equation true? 57 – 1 9 5. A. n = -16 n = -2 n = 16
Answers
Answer:A) -16
Step-by-step explanation:
Draw a sketch of y=2x2+3 for values of x in the domain -4 x 4.
Mention the coordinates of the turning point in your solution
Answers
The coordinates of the turning point (vertex) of the graph is at (0, 3).
To sketch the graph of the function y = 2x^2 + 3 for values of x in the domain -4 to 4, we'll plot a few points and connect them to form the curve.
First, let's obtain the coordinates of the turning point (vertex) of the graph.
The vertex of a quadratic function in the form y = ax^2 + bx + c is obtained by (-b/2a, f(-b/2a)).
In this case, a = 2, b = 0, and c = 3.
The x-coordinate of the turning point is -b/2a = -0/(2*2) = 0.
Substituting x = 0 into the equation, we obtain the y-coordinate:
y = 2(0)^2 + 3 = 3.
So, the turning point (vertex) of the graph is (0, 3).
Now, let's plot a few more points within the provided domain (-4 to 4) and connect them to form the curve:
For x = -4, y = 2(-4)^2 + 3 = 35. So, we have the point (-4, 35).
For x = -2, y = 2(-2)^2 + 3 = 11. So, we have the point (-2, 11).
For x = 2, y = 2(2)^2 + 3 = 11. So, we have the point (2, 11).
For x = 4, y = 2(4)^2 + 3 = 35. So, we have the point (4, 35).
Using these points, we can sketch the graph of the function y = 2x^2 + 3 within the provided domain (-4 to 4).
The graph will be a symmetric "U" shape, opening upward, with the vertex at (0, 3).
The curve will pass through the points (-4, 35), (-2, 11), (2, 11), and (4, 35).
Here's a rough sketch of the graph:
```
| *
40 | *
| *
35 | *
| *
30 | *
|*
25 |
|
20 |
|
15 |
|
10 |
|
5 |
|
0 |
|
-------------------------
-4 -3 -2 -1 0 1 2 3 4
```
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The diagram shows the intersections of several straight roads. The avenues run parallel to each other.
First Avenue and Second Avenue are parallel. Oak goes through both streets at point A and B. Main goes diagonally down through both streets and intersects with Oak Street. The distance from First to Second on Main is 280 feet. The distance from Second to the intersection of Oak is 140 feet. The distance from Point B to the intersection of Main is 113 feet.
Amana walks along Oak from point A to B. To the nearest foot, how far does she walk?
75 ft
226 ft
307 ft
347 ft
Answers
By applying the property of similar triangles, the distance Amana from point A to B walked is: B. 226 ft.
How to determine the distance?By critically observing the diagram (see attachment), we can deduce that two (2) similar triangles were formed by the First Ave. and Second Ave.
By applying the property of similar triangles, the distance Amana walked is given by:
(AB + 113)/113 = (280 + 140)/140
(AB + 113)/113 = 420/140
(AB + 113)/113 = 3
AB + 113 = 3 × 113
AB + 113 = 339
AB = 339 - 113
AB = 226 ft.
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Answer: B. 226 ft.
Step-by-step explanation: Trust Me! I got it correct on Edge.
the combo meal was 7.75. there is a 20% reward coupon. how much is the combo
Answers
Problem 3 (Matrix Least Squares Variant) [10 pts]. Consider a data matrix A € Rmxn and observation matrix Y € Rmxd. Recall that the (ordinary) matrix least squares problem AX≈ Y can be seen as projecting the (columns of) Y onto the range of A-i.e., AX = AA¹Y where AA* is a projection matrix. In this setting, our model AX Y is such that we are modeling errors in our measurements-that is, Y + εy = AX. In many applications, however, it is more reasonable to model the errors in both the observations Y and the data A-i.e., Y + Ey = [A + EA]X (1) Hence, we need to formulate an optimization problem that captures trying to find the matrix XE Rnxd that is the best approximate solution to the above model. That is, the problem is to find the smallest perturbations [EA Ey] to the measured independent and dependent variables that satisfy (1), where [EA Ey] is the column-wise concatenation of the matrix & A with the matrix ɛy. Indeed, this can be done with the Frobenius norm as follows: min || [EA EY] || X,EY,€ A subject to Y + y = [A + EA] X Upon examining the constraint we can rewrite it as [A+EA_Y +EY] [X] = 0 € Rm, (3) where Id is the d x d identity matrix. Below, we are going to use several of the tools from Modules 2-4 to solve this problem and implement it in Python. Note that parts f-h are in the Python Notebook. a. [1pt] Let the matrix A € Rmxn and Y € Rmxd. Note that this implies ɛà € Rm×n and Ey € Rmxd. Assuming that m > n and rank(A + ¤Â) = ) = n, using the constraint in the opti- mization problem (2) explain why rank( [A +ɛA_Y + εy]) = = n. Solution: b. [1pt] The conclusion that rank([A +ɛA_Y+ɛy]) = = n from part a. tells us that the goal of solving the optimization problem (2) is to find the smallest matrix [EA ɛy] that drops the rank of [A_Y] to n when added to it. Recalling the Eckart-Young Theorem from Module 3, formulate the optimization problem (2) as a low rank approximation optimization problem in terms of the matrix C:= [A_Y]. Solution: c. [2pt] Suppose we express the SVD of [AY] in terms of submatrices and vectors as follows: T C = [A_Y] 12][2 [U11 U12] [1 0 [V₁1 V12] U21 U22 0 Σ2 V21 V22 (4) where Σ₁ € Rnxn contains the top n singular values of C, and Σ2 € Rdxd contains the next d singular values. The submatrices of V satisfy the following: V₁1 € RXn, V12 € Rnxd, V21 € Rdxn, V22 € Rdxd Derive an expression for the solution [εA Ey] to the problem in part b. in terms of the SVD of C = [A y] as given in (4). In addition, derive an expression for the matrix [A +€A_Y+€y] in terms of the SVD and the solution [EA y]. Show your work to get credit. Solution. d. [2pt] Given (1) and your solution from the previous parts, derive an expression for X in terms of the SVD of C given in (4). Show your work to get credit. Hint: Recall the constraint of (2), and the fact that the goal is to find X that satisfies that constraint. Solution. T e. [1pt] Consider the case where d = 1. In this case Σ2 is simply a scalar—in particular, it is On+1. From the previous part, you can see that in this case [xT −1] is a right singular vectors of [Ay] where y € Rmx1 is a vector since d = 1. Use this fact to show that the solution from the previous part solves the equation (A¹A — σ² +11)x = ATy Show your work to get credit. Solution.
Answers
In this problem, we are considering a matrix least squares variant where we model errors in both the observations and the data. The goal is to find the matrix X that best approximates the solution to the model. By formulating the optimization problem and examining the constraint, we can show that the rank of the augmented matrix [A + EA_Y + EY] is equal to n, given certain conditions.
This implies that the optimization problem aims to find the smallest perturbations to the measured variables that drop the rank of [A_Y] to n. This formulation aligns with the low rank approximation problem, as stated in the Eckart-Young Theorem.
By expressing the SVD of [A_Y] in terms of submatrices and vectors, we can derive an expression for the solution [EA Ey] in terms of the SVD. Additionally, we can derive an expression for the matrix [A + EA_Y + Ey] using the SVD and the solution [EA Ey]. These expressions involve the submatrices U, Σ, and V obtained from the SVD decomposition.
Based on the previous results, we can derive an expression for X in terms of the SVD of the matrix [A_Y]. This expression allows us to find X that satisfies the constraint of the optimization problem.
In the case where d = 1, the second singular value matrix Σ2 reduces to a scalar. We can observe that [xT -1] is a right singular vector of [A_Y], and using this fact, we can show that the solution obtained in the previous part solves the equation (A*A - σ^2 + 1)x = A^Ty.
Overall, the problem deals with formulating an optimization problem for matrix least squares variant and deriving expressions for the solution in terms of the singular value decomposition (SVD) of the augmented matrix [A_Y].
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which answer choice correctly shows 0.3% as a decimal?
a.300
b.3
0c.0.03
d.0.003
Answers
d.0.003 choice correctly shows 0.3% as a decimal.
Here, we have,
given that,
the percent is: 0.3%
now, we know that,
percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity. percentage.
now, we get,
0.3%
=0.3 ÷ 100
=0.003
now, we know, 0.003 is a decimal.
so, we get,
d.0.003 choice correctly shows 0.3% as a decimal.
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Three multiplied by the sum of 4 and a number is the same as 18 more than the number. Find the number.
If n is "the number," which equation could be used to solve for the number?
4(3 + n) = n + 18
3(4 + n) = n + 18
3 n + 4 = n + 18
Answers
Answer:
it is the second choice, because if you read the questions out loud then the second one is the way you would read it.
Answer:
n = 3
Step-by-step explanation:
\(3(4 + n) = n + 18 \\ 12 + 3n = n + 18 \\ 2n = 6 \\ n = 3\)
In a move to provide additional sales for U.S. car manufacturers, the White House announced the purchase of 17,600 new fuel-efficient vehicles for the federal fleet. Suppose the new fleet, which included 2,500 hybrid sedans, will cost $295 million. If each hybrid vehicle will average cost of $25,000 what will be the average cost per non-hybrid vehicle?
Answers
The average cost per non-hybrid vehicle in the federal fleet is approximately $15,397.35.
To find the average cost per non-hybrid vehicle, we subtract the cost of the hybrid vehicles from the total cost of the fleet:
Total cost of the fleet - Cost of hybrid vehicles = Cost of non-hybrid vehicles
$295 million - $62.5 million = $232.5 million
Since the number of non-hybrid vehicles is the total number of vehicles in the fleet (17,600) minus the number of hybrid sedans (2,500), we have:
Number of non-hybrid vehicles = 17,600 - 2,500 = 15,100
Finally, we divide the cost of non-hybrid vehicles by the number of non-hybrid vehicles to find the average cost per non-hybrid vehicle:
Average cost per non-hybrid vehicle = $232.5 million / 15,100 = $15,397.35
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When a storm moved into Park City, the temperature dropped
5 degrees.
What integer represents the change in Park City's temperature?
Answers
The integer that represents this change is -5.
We have,
The change in temperature is represented by the difference between the temperature before and after the storm.
In this case,
The temperature dropped, which means it decreased.
The integer that represents the change in temperature is negative because it indicates a decrease or a loss.
In particular,
The integer that represents a decrease of 5 degrees is -5.
Therefore, if the temperature before the storm was, for example, 20 degrees, the temperature after the storm would be 20 - 5 = 15 degrees, which is 5 degrees lower.
Thus,
The integer that represents this change is -5.
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A compound inequality is graphed, and its graph consists of all real numbers. Which open sentence could have resulted in this solution set?
Group of answer choices
r > 3 or r > –2
r > 3 or r –2
r < 3 or r < –2
Answers
Answer:
r>3 or r >-2
Step-by-step explanation:
Item 20 Question 1 Identify an algebraic equation you can use to find the measure of each angle based on the given description. Then find the measure of each angle. The measure of one angle is 3° more than 12 the measure of its supplement. x+(12x+3)=180 x+(12x+3)=90 x+(12x−3)=180 x+(12x−3)=90 Question 2 The measure of the smaller angle is º. The measure of the larger angle is º. Item 20 Question 1 Identify an algebraic equation you can use to find the measure of each angle based on the given description. Then find the measure of each angle. The measure of one angle is 3° more than 12 the measure of its supplement. x+(12x+3)=180 x+(12x+3)=90 x+(12x−3)=180 x+(12x−3)=90 Question 2 The measure of the smaller angle is º. The measure of the larger angle is º.
Answers
this is not the write answer im just it bec whevener but i think it is 13=845-684x3 i think it is the answer
Step-by-step explanation:
The measures of the angles of a triangle are in the extended ratio 11:5:4. Find the measures of the angles.
Answers
Given that in a △ABC, ∠A:∠B:∠C=11:5:4
Let the angles of the given triangle be 11xo,5xo,4xo.
We know that the sum of the angles of a triangle is 180o
11xo+5xo+4xo=180o⇒20xo=180o
xo=12110o=15o
So, the angles of the triangle are 70o,60o,45o.
Three baseball players are playing catch. Philip is directly south of Barbara and directly west of Savannah. Philip and Savannah are 3 meters apart and Savannah and Barbara are 5 meters apart. How far apart are Philip and Barbara?
Answers
TRUE/FALSE. real-world efficiencies are generally very high, in the 90 percent range. please select the best answer from the choices provided.
Answers
False. The statement "real-world efficiencies are generally very high, in the 90 percent range" is not universally true.
Efficiency levels can vary significantly depending on the specific context, industry, and process being considered.
In many real-world scenarios, efficiencies may fall below 90 percent for various reasons. Factors such as technological limitations, human error, resource constraints, and external influences can impact efficiency levels. Industries or processes that involve complex systems, outdated infrastructure, or challenging environmental conditions may experience lower efficiencies.
It is important to analyze each specific case to determine the actual efficiency levels. Some industries and processes may indeed achieve high efficiencies, while others may face inherent challenges that limit their efficiency rates. Therefore, it is not accurate to make a blanket statement that real-world efficiencies are generally in the 90 percent range.
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mikey usually buys a box of 18 candy bars for 12.49 whats the unit rate of price per candy bar
Answers
Answer:
1.44
Step-by-step explanation:
1 box 18 candy bars each box 12.49
18 divide by 12.49 equals 1.44 each candy bars
Select the correct answer.Which graph represents the solution to this system of inequalities?x+y<42x-3y2 12OA-10.y 10-510
Answers
Solution
We are required to graph the inequalities as shown below
In the year 2003, a company made $6.5 million in profit. For each consecutive year after that, their profit increased by 8%. How much would the company's profit be in the year 2007, to the nearest tenth of a million dollars?
Answers
Answer:
$8,580,000 (rounded) = $9,000,000
Step-by-step explanation:
Keep in mind, 2007 is four years after 2003.
So, 8(%) • 4 = 32(%)
Over the course of 4 years, the companies profits increased by a total of 32 percent.
(*Write 6.5m in standard form)
6,500,000 + 32% = $8,580,000
8,580,000 (rounded up) = 9,000,000
Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4-x and y = 2x + 3 intersect are the solutions of the equation 4-x = 2x + 3. (4 points)
Part B: Make tables to find the solution to 4-x = 2x + 3. Take the integer values of x between −3 and 3. (4 points)
Part C: How can you solve the equation 4-x = 2x + 3 graphically? (2 points)
Answers
Answer: 6
Step-by-step explanation:
The Value of x is . And the value of y is .
Answers
120+x=180
180-120=60
X=60
Y=50 I’m not sure about y
How many of the numbers from the set $\{1,\ 2,\ 3,\ldots,\ 50\}$ have a perfect square factor other than one?
Answers
Answer:
2^2 ( 1,2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12) = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44,48
3^2(1,2,3, 5) = 9, 18, 27, 45
5^2(1, 2) = 25, 50
7^2 = 49
19 numbers
Step-by-step explanation:
Find the length of the segment AB
Answers
|2| = 2
2+1 = 3
the total distance is 3
Answer: 3
Step-by-step explanation:
727x10by the power of 1
Answers
(Tip: 10 to the power of 1 is 10)
What are 10 examples of irrational numbers?
Answers
Step-by-step explanation:
numbers that can not be written as a fraction
How do you know when to multiply and when to divide to convert units or measurements
Answers
Answer: Look at my attached example.
Hopefully this helps with converting units.
(Segment Proofs)
Given: K is the midpoint of JL, M is the midpoint of LN
JK = MN
Prove: KL LM
Answers
Answer:
It's proved below
Step-by-step explanation:
We are given;
- K is the midpoint of JL
- M is the midpoint of LN
By definition of mid points, we can say that;
JK = KL and LM = MN
Now, we are given that JK = MN.
Thus, by substitution, we can deduce that; KL = LM
Thus is because JK can be replaced with KL and MN can be replaced with LM.
Thus, it is proved that KL = LM
Which challenge is unique to environmental science lack of baseline data sample size objectivity?
Answers
The unique challenges of lack of baseline data, sample size, and objectivity pose significant obstacles in environmental science. Researchers must work diligently to overcome these challenges through careful data collection, innovative methodologies, and critical analysis.
The challenge of lack of baseline data in environmental science refers to the difficulty in establishing a starting point or reference point to compare future observations or changes. Baseline data provides important information about the current state of the environment, such as air quality, water quality, biodiversity, and ecosystem health. Without this baseline data, it becomes challenging to assess and monitor changes over time accurately.
Sample size is another unique challenge in environmental science. It refers to the number of observations or data points collected for a particular study or analysis. A larger sample size generally provides more reliable and representative results. However, in environmental science, it is often difficult to obtain large sample sizes due to logistical constraints, limited resources, and the complexity of natural systems. This limitation can affect the precision and generalizability of research findings.
Objectivity is a critical aspect of scientific inquiry, including environmental science. It involves conducting research without bias or personal opinion, relying on empirical evidence and logical reasoning. However, achieving complete objectivity is challenging because researchers may have inherent biases, conscious or unconscious. Additionally, interpreting data can be subjective, leading to different conclusions. Environmental scientists strive to minimize subjectivity by using rigorous methodologies, peer review, and transparent reporting.
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This package of sliced cheese costs $2.97. How much would a package with 18 slices cost at the same price per slice?
Answers
Answer:
$53.46
Step-by-step explanation:
The answer is 53.46 because 2.97 multiplied by 18 is 53.46