Sharla invests $275 in a simple interest bearing account for 16 years. The annual interest rate is 8%. Using the simple
interest formula, 1= Pr, how much interest will Sharla's initial investment earn over the 16 year period?
Answers
Sharla's initial investment will earn $352 over the 16 year period.
How to calculate simple interest?
Formula for simple interest is;
I = PRT/100
Now, we are given;
Principal; P = $275
Rate; R = 8
Time; T = 16
Thus;
I = 275 * 8 * 16/100
I = $352
Thus, Sharla's initial investment will earn $352 over the 16 year period.
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Related Questions
help me! I’m behind in school if you do I’ll give you extra points and stars. I’ll give you a good report.
Answers
Answer:
The answer is D, approximately 6.8
Step-by-step explanation:
(I'm gonna be honest, I just looked it up)
Increase 220kg by 12.5%
Answers
Answer:
247.5kg
Step-by-step explanation:
u find 12.5% of 220, then add it
220*12.5% =27.5
220+27.5=247.5
Which of the following statements is NOT correct? (A) A transition matrix is always invertible. (B) If a matrix is invertible then its transpose is also invertible. (C) If the system Ax = b has a unique solution (where A is a square matrix and b is a column vector), then A is invertible. (D) A diagonalisable matrix is always invertible. (E) If the determinant of a matrix is 0 then the matrix is not invertible. 2. Let f be a linear map from R¹¹ to R¹. The possible values for the dimension of the kernel of f are: (A) all integrer values between 0 and 11. (B) all integrer values between 7 and 11. (C) all integrer values between 1 and 11. (D) all integrer values between 0 and 4. (E) all integrer values between 0 and 7. 0 3. Let f be the linear map from R³ to R³ with standard matrix 0 Which of the following is a geometric description for f? (A) A rotation of angle 7/3 about the z-axis. (B) A rotation of angle π/6 about the x-axis. (C) A reflection about the plane with equation √3y - x = 0. (D) A rotation of angle π/6 about the z-axis. (E) A reflection about the plane with equation √3x - y = 0. HINN 2 NITNIS √3
Answers
1. The statement that is NOT correct is (A) A transition matrix is always invertible.
Transition Matrix:
The matrix P is the transition matrix for a linear transformation from Rn to Rn if and only if P[x]c= [x]b
where[x]c and [x]b are the coordinate column vectors of x relative to the basis c and b, respectively.
A transition matrix is a square matrix.
Every square matrix is not always invertible.
This statement is not correct.
2. The dimension of the kernel of f is an integer value between 0 and 11.
The rank-nullity theorem states that the dimension of the null space of f plus the dimension of the column space of f is equal to the number of columns in the matrix of f.
rank + nullity = n
Thus, dim(kernel(f)) + dim(range(f)) = 11
Dim(range(f)) is at most 1 because f maps R11 to R1.
Therefore, dim(kernel(f)) = 11 - dim(range(f)) which means that the possible values for dim(kernel(f)) are all integer values between 0 and 11.
3. The given standard matrix is the matrix of a reflection about the plane with equation √3y - x = 0.
Therefore, the correct option is (C) A reflection about the plane with equation √3y - x = 0.
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A phone sells for $250. It is now on sale for 1/5 off the original price. April has a coupon for an extra 10% off the sale price. To the nearest dollar, how much less than the original price will April pay for the phone? *
Answers
Answer:
She will pay $75.00 less.
Step-by-step explanation:
To get ⅕ of 250, divide it by 5. (250÷5=50)
You also need to take 10% off of the original price. To do that, multiply 250 by 0.1. (250×0.1=25)
In total, she will pay $75.00 less, or $175.00. (50+25=75) (250-75=175)
The temperatures for a 24-hour period ranged between
-4°F and 23°F, inclusive. What was the range in Celsius degrees? (Use F=9/5C + 32.)
Answers
Answer:
The range is between -20°C and -5°C
Step-by-step explanation:
The relation between C and F is C/5=(F-32)/9
C=(5F-160)/9
For -4°F:
C=(5×-4 - 160)/9=-20°
For 23°F:
C=(5×23-160)/9=-5°
Hope, this helps you.
The range of the temperature will be [-17.7 °C, -5 °C].
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The temperatures for a 24-hour period ranged between -4°F and 23°F, inclusive.
The function is given below.
F = (9/5)C + 32
Then the range in Celsius degrees will be given as,
The lower limit at F = -4 °F will be
F = (9/5)C + 32
Simplify the equation, then the equation will be
-4 = (9/5)C + 32
-36 = (9/5)C
C = -17.7 °C
The upper limit at F = 23 °F will be
F = (9/5)C + 32
Simplify the equation, then the equation will be
23 = (9/5)C + 32
-9 = (9/5)C
C = -5 °C
Then the range of the temperature will be [-17.7 °C, -5 °C].
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consider the one-space dimensional heat equation for a temperature function (,), which is given by ∂=∂2.A. The core space dimensional best equation deserves only one-dimensional objects, which do not exist in nature, because objects in nature are three dimensional B. The boundary condition (0) - means that there is no heat tux entering or leaving the system for allies at 20. c. The boundary condition (t,0) at the temperature of the system for all time is 2000 D. The boundary condition
Answers
The one-space dimensional heat equation is a mathematical representation of how temperature changes in a one-dimensional system over time. The function represents the temperature at a given point in space and time. The equation includes two partial derivatives, which describe how temperature changes with respect to space and time.
It is important to note that this equation only works for one-dimensional objects, which do not exist in nature. However, it can still be used as an approximation for certain real-world scenarios. The boundary conditions for this equation specify the temperature at the boundaries of the system. The first boundary condition, (0), indicates that there is no heat flux entering or leaving the system at the boundary. The second boundary condition, (t,0), indicates that the temperature of the system is 2000 for all time at the boundary. These boundary conditions are crucial for solving the heat equation and obtaining a solution for the temperature function. It is important to understand the function, boundary conditions, and limitations of the one-space dimensional heat equation when working with temperature changes in a one-dimensional system.
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In a certain Algebra 2 class of 29 students, 13 of them play basketball and 14 of them play baseball. There are 11 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Answers
P(A and B) = P(A) + P(B) - P(A or B)
where A represents playing basketball, B represents playing baseball, and P(A or B) represents the probability of playing at least one of the sports.
From the given information, we can calculate:
P(A) = 13/29
P(B) = 14/29
P(A or B) = 1 - P(neither) = 1 - 11/29 = 18/29
Substituting these values into the formula, we get:
P(A and B) = 13/29 + 14/29 - 18/29
P(A and B) = 9/29
Therefore, the probability that a student chosen randomly from the class plays both basketball and baseball is 9/29.
PLSS I MADE IT CLEARER THIS TIME
Answers
Answer:
There is still no attachment.
Step-by-step explanation:
please help anyone 15 points
Answers
Answer:
m<NOQ = 139°
Step-by-step explanation:
Since lines KM and NP are parallel, alternate exterior angles KLJ and QOP are congruent.
m<QOP = m<KLJ = 41°
Angles NOQ and QOP are a linear pair and are supplementary, so the sum of their measures is 180°.
m<NOQ + m<QOP = 180°
m<NOQ + 41° = 180°
m<NOQ = 139°
a high school student wants to select a career that makes a lot of money. so, he decides to study the relationship between how much education people get and their starting salaries. which statistical method would be best to use in this situation? g
Answers
Answer:
He would have to use the method of polling
Step-by-step explanation:
Polliong would be the method used to solve hope this help
the health, aging, and body composition study is a 10-year study of older adults. this study examined a relationship between pet ownership status and gender. a sample of 2,434 old adults is selected. each person is classified by pet ownership status and gender. the results are summarized below.
Answers
The Health, Aging, and Body Composition Study is a long-term study spanning 10 years that focuses on older adults. The study looked into the relationship between pet ownership status and gender. A sample of 2,434 older adults was selected for the study, and each person was classified based on their pet ownership status and gender. The results of the study were summarized, and it was found that there is a relationship between pet ownership status and gender among older adults. However, without the specifics of the summary of the results, it is difficult to determine the exact nature of this relationship.
Wade just retired, and has $600,000 to invest. A very safe Certificate of Deposit (CD) account pays 2%, while ariskier bond fund pays 8.5% in interest. Wade figures he needs $27,000 a year in interest to live on. How muchshould he invest in each account to make enough interest while minimizing his risk?$at 2%at 8.5%Round answers to the nearest dollar.
Answers
We can write 2 equations from the information given.
Let the amount invested in CD be "x" and the amount invested in bond be "y".
The total amount invested is $600,000. Thus, we can write,
\(x+y=600,000\)The CD pays 2% (0.02) and the bond pays 8.5% (0.085). Total interest needed is $27,000. Thus, we can craft another equation,
\(0.02x+0.085y=27,000\)Solving the first equation for "x", we can substitute it into the second equation and solve for "y" first. The steps are shown below:
\(\begin{gathered} x+y=600,000 \\ or,x=600,000-y \\ -------------- \\ 0.02x+0.085y=27,000 \\ 0.02(600,000-y)+0.085y=27,000 \\ 12000-0.02y+0.085y=27,000 \\ 0.065y=27,000-12,000 \\ 0.065y=15,000 \\ y=230,769.23 \end{gathered}\)Now, we can find "x",
\(\begin{gathered} x+y=600,000 \\ x+230,769.23=600,000 \\ x=600,000-230,769.23 \\ x=369,230.77 \end{gathered}\)Rounded to the nearest dollar, we write our answer >>>
$369,231 at 2%$230,769 at 8.5%Each interior angle of a regular polygon is 140°.Find the number of sides of the polygon.
Answers
Answer :
9 sides
Explanation:
Step 1
Since the interior angle is 140 degrees, the supplement of this is the exterior angle and equal to 40 degrees. Hence the number of sides is 360/40 = 9 sides.
Step 2
Method 2: Since the exterior angle is 140°
The sum of the interior angles = (2n - 4) × right angles.
So 140n =(2n - 4) ×right angles, or we can also say
140n =(2n - 4) × 90
140n = 180n - 360
40n = 360
Divide both sides of the equation by 40
n = 9 sides.
n = 9 sides.Hence the number of sides is 9 sides.
Which of the following is the reference angle for an angle that measures 222 degrees ?
1.22
2.48
3.64
4.42
Answers
pls help me solve it
Answers
Answer:
it's the first one 3m
the height is always the straight line going through the parallelogram
PLEASE HELP I'LL GIVE BRAINLIEST
Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5) A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5).
Answers
Answer: the first table with all 2s as its y values
Step-by-step explanation: the first table shows that no matter what the x value is, the graph is staying still at y=2. Its rise/run is 0 since it is not rising at all.
Answer:
The first column of the first chart due to the repetition of the numbers! hope this helps!
the two figures shown are made of unit squares. what is the positive difference of the perimeters, in units?
Answers
The two figures shown are made of unit squares. The positive difference of the perimeters, in units, is 8.
Perimeter is the total distance around the boundary of the shape. Since each square has a side length of 1 unit, the perimeter is equal to the number of sides.
1. Figure A: Counting the number of unit squares on the boundary of the shape, the perimeter of the first shape is: 8+4+4+4+4=24 units.
2. Figure B:Counting the number of unit squares on the boundary of the shape, the perimeter of the second shape is: 10+2+10+2=24 units.
The positive difference of the perimeters in units = |24 - 24| = 0 units. Therefore, the positive difference of the perimeters, in units is 0.
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What is the difference between the circumference of a medium pizza and the circumference of a personal pizza? Round to the nearest hundredth.
Answers
Answer:
?
Step-by-step explanation:
HELP PWEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answers
Answer:
rap music
Step-by-step explanation:
^
Answer:
i’m not sure if these are right or not but
Step-by-step explanation:
the first one is no
i think the second one is no
i think the third one is yes
i think the fourth one is yes
i am not sure and i’m REALLY sorry if its wrong
On June 19, NoteQuest Inc. instituted a 3-for-2 split. At that time Keisha owned 205 shares of that stock. The price per share was
$33.99. After the split, Keisha received a check for a fractional part of a share. What was the amount of that check?
Answers
Answer:
$11.33
Step-by-step explanation:
Keisha will own 307 shares after the split. and the amount of check is 11 dollar.
Given that, NoteQuest Inc. instituted a 3-for-2 split. At that time Keisha owned 205 shares of that stock. The price per share was
$33.99.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Here, 3+ 2 = 5
Now, let x be the number of shares post split
Then;
3/2 = x/205
x = 3/2 (205)
x = 615/2 = 307.5
Therefore, Keisha will own 307 shares after the split.
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HALP FAST AND WILL MARK BRAINIEST TO THE FIRST PERSON
Answers
Answer:
a
Step-by-step explanation:
Answer:
C, Pounds
Step-by-step explanation:
<3 best of luck today my friend
the admission fee at a local zoo is $ 1.50 for children and $ 5.00 for adults. on a certain day, 2000 people enter the zoo and $ 7 , 550.00 is collected. how many children and how many adults attended?
Answers
There are \(700\) children and \(1300\) adults.
What is system of linear equations?
A System of Linear Equations is when we have two or more linear equations working together.
Let \(x\) be number of children and \(y\) be number of adults.
Since \(2000\) people enter the zoo then \(x+y=2000.\)
The admission fee at a local zoo is $ \(1.50\) for children and $ \(5.00\) for adults and $\(7550.00\) collected then \(1.5x+5y=7550\).
Thus there are two linear equations to solve.
Substitute \(x=2000-y\) in \(1.5x+5y=7550.\)
\(1.5(2000-y)+5y=7550\)
\(3000-1.5y+5y=7550\)
\(3000+3.5y=7550\)
\(3.5y=7550-3000\)
\(3.5y=4550\)
\(y=\frac{4550}{3.5}\)
\(y=1300\)
So \(x=2000-y=2000-1300=700.\)
Therefore there are \(700\) children and \(1300\) adults.
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pleaseeeee helppppppp
Answers
Graph the equation y = -1/4x + 2
Answers
Answer:
y - intercept: 2 slope: down 1(-1), right 4(40
Step-by-step explanation:
Need help with this thanks!
Answers
Let’s use an example.
8 = 6(1) + 2
This is a true statement.
Good luck!
what is the slope of this equation, v=3x+60
Answers
In y=mx+b, the number before x (or m) is the slope.
Answer:
slope=3
Step-by-step explanation:
help please
solve for x
Answers
Answer:
x = 19
Step-by-step explanation:
The 3 angles form a straight line and sum to 180°, that is
5x + 4 + x - 2 + 3x + 7 = 180
9x + 9 = 180 ( subtract 9 from both sides )
9x = 171 ( divide both sides by 9 )
x = 19
You are enclosing a rectangular garden with 90 feet of ornamental fencing. The area of the garden is 450square feet. What are the dimensions of the garden?
Answers
The garden has its dimensions to be 30 feet by 15 feet
How to determine the dimensions of the garden?From the question, the given parameters are:
Enclosing length of the garden = 90 feetArea of the garden = 450 square feetAs a general rule;
The enclosing length of the garden represents the perimeter of the garden
The perimeter is calculated as
P = 2 *(L + W)
Where L and W are the dimensions of the garden
So, we have
2 * (L + W) = 90
Divide by 2
L + W = 45
For the area, we have
Area = 450
This means that
Area = L * W
So, we have
L * W = 450
Express 450 as 30 * 15
So, we have
L * W = 30 * 15
By comparison, we have'
L = 30 and W =15
Hence, the dimensions of the garden are 30 feet by 15 feet
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Suppose 75% of smartphones sold at a retail outlet are purchased with warranty. A random sample of 25 smartphones is selected. Assuming independence, use the binomial formula or software (recommended) to answer the following questions. 1. What is the probability that, of the 25 smartphones selected: (Report probabilities accurate to at least 4 decimal places.) a) exactly 18 are purchased with warranty? b) exactly 8 are not purchased with warranty? c) all of them are purchased with warranty? d) at most 15 are purchased with warranty? e) at least 14 are purchased with warranty? f) more than half are purchased with warranty? 9) at least 14 but no more than 23 are purchased with warranty? h) less than 12 or more than 19 are purchased with warranty? 2. Calculate the mean and standard deviation of smartphones that are purchased with warranty. Round to 2 decimal places. Mean = Standard Deviation = 3. If you expect to find exactly 72 smartphones that are purchased with warranty, how large a sample should you select? Report the minimum sample size required as an integer.
Answers
The probability that exactly 18 of the 25 smartphones selected are purchased with warranty is: The probability that exactly 8 of the 25 smartphones selected are not purchased with warranty is: The probability that all 25 smartphones selected are purchased with warranty is:
The probability that at most 15 of the 25 smartphones selected are purchased with warranty is: The probability that at least 14 of the 25 smartphones selected are purchased with warranty is: f) The probability that more than half (i.e. > 12) of the 25 smartphones selected are purchased with warranty is: 9) The probability that at least 14 but no more than 23 of the 25 smartphones selected are purchased with warranty is:
h) The probability that less than 12 or more than 19 of the 25 smartphones selected are purchased with warranty is: Part 2Mean = Standard Deviation = Part 3To find the minimum sample size required to expect to find exactly 72 smartphones that are purchased with warranty, we use the following formula: N = [(Z * σ) / E]^2 where Z is the z-score corresponding to the desired level of confidence, σ is the standard deviation, and E is the maximum error of estimation. Using a 95% level of confidence, Z = 1.96.Using the calculated standard deviation of 2.91 and expecting to find exactly 72 smartphones, the maximum error of estimation is 0.5.N = [(1.96 * 2.91) / 0.5]^2N
= 337.11
Therefore, the minimum sample size required to expect to find exactly 72 smartphones that are purchased with warranty is 338.
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Which of these absolute values is the greatest? a. |140| b. |-104| c. |104| d. |-20
Answers
Answer: a
/////////////////
Answer:
The correct answer is A.
Step-by-step explanation:
The absolute value of any number is always positive.