If the simple interest on $3,000 for 9 years is $1,350, then what is the interest rate?
Answers
Answer:
5%
Step-by-step explanation:
To solve this problem, we need to use the formula for simple interest, which is I = PRT, where I is the interest earned, P is the principal amount, R is the interest rate, and T is the length of time the money is invested. We know that I = 1350, P = 3000, and T = 9, so we can rearrange the formula to solve for R: R = I / (P * T) = 1350 / (3000 * 9) = 0.05. Therefore, the interest rate is 5%.
Answer: 5% per year
Step-by-step explanation:
First, take 1350 divided by 3000, then times 100% = 45% for 9 years
Then take 45 divided by 9 = 5% per year
Related Questions
A pin on an industrial robot an initial velocity of 5.5m/s, and has an acceleration given by a(t) = 9.3 t² + 3, where t is measured in seconds. 1. Write an equation for the velocity v at time t. Simplify your answer. v(t) 2. What is the velocity at t = 4 seconds? Also specify the units (in abbreviated form). Velocity: Check
Answers
The velocity at t = 4 seconds is 210.4 m/s.
To find the equation for the velocity v at time t, we need to integrate the given acceleration function a(t) with respect to time.
Given: a(t) = 9.3\(t^2\) + 3
To find v(t), we integrate a(t) with respect to t:
v(t) = ∫ (9.3\(t^2\) + 3) dt
Integrating each term separately:
∫ 9.3\(t^2\) dt = 9.3 * (\(t^3\) / 3) = 3.1\(t^3\)
∫ 3 dt = 3t
Combining the results:
v(t) = 3.1\(t^3\) + 3t
Therefore, the equation for the velocity v at time t is v(t) = 3.1\(t^3\) + 3t.
To find the velocity at t = 4 seconds, we substitute t = 4 into the equation for v(t):
v(4) = \(3.1(4)^3\) + 3(4)
= 3.1(64) + 12
= 198.4 + 12
= 210.4 m/s
Therefore, the velocity at t = 4 seconds is 210.4 m/s.
To learn more about velocity, refer to the link:
brainly.com/question/28738284
#SPJ4
HELP ASAP
Which equation is correct?
792 x 5 = 700 x 5 + 90 x 5 + 2
792 x 5 = 700 + 90 x 5 + 2 x 5
792 x 5 = 700 x 5 + 90 x 5 + 2 x 5
792 x 5 = 7,000 x 5 + 900 x 5 + 20 x 5
Answers
Answer:
792 x 5 = 700 x 5 + 90 x 5 + 2 x 5
Step-by-step explanation:
Answer:
792 x 5 = 700 x 5 + 90 x 5 + 2 x 5
Step-by-step explanation:
Find the measure of b and d given that m||n.
Answers
Answer:
b = 61.1° , d = 43.7°
Step-by-step explanation:
b and 61.1° are alternate angles and are congruent , so
b = 61.1°
d and 43.7° are alternate angles and are congruent , so
d = 43.7°
The solution is, : the measure of b and d angle when given that m||n,
b = 60.7
d = 43.1
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
here, we have,
Explanation:
The angles of measure 61.1 and b are alternate interior angles because they are on opposite sides of the transversal and in the inside of the parallel lines m and n.
These angles have the same measure, so
b = 61.1
Angle d and the angle of measure 136.9 form a straight line, so they sum to 180 degrees.
Therefore, the measure of angle d is
d = 180 - 136.3
= 43.7
Therefore, the answers are
b = 61.1
d = 43.7
To learn more on angle click:
brainly.com/question/28451077
#SPJ2
Enter the value of x that makes the equation 3x + 4 + 2x + 2 = -24
answer? and how would I answer this.
Answers
Answer:
x = -6
Step-by-step explanation:
Combine like terms.
5x + 6 = -24
Subtract 6 from both sides.
5x = -30
Divide by 5 on both sides.
x = -6
Follow Me:-
\(3x + 4 + 2x + 2 = - 24 \\ \\ = > 5x + 6 = - 24 \\ \\ = > 5x = - 24 - 6 \\ \\ = > 5x = - 30 \\ \\ = > x = \cancel \frac{ - 30}{5} \\ \\ = > x = - 6\)
Hope This Helps
Write 8/11 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.
Answers
Answer:
0.72 repeat
Step-by-step explanation:
__
8 ÷ 11 =0.72
Find the median of the distribution
Frequences
Mark
0,1,2,3,4,5
Answers
Answer:
2.5
Step-by-step explanation:
The median is the middle value of the data set. If there is no exact middle value then it is the average of the 2 values either side of the middle.
0 , 1 , 2 , 3 , 4 , 5
↑ middle of data
Thus median = \(\frac{2+3}{2}\) = \(\frac{5}{2}\) = 2.5
4 Unit Roots 1. Consider a series that changes deterministically: AYt = a. Given initial value of Yo, write the general solution of the difference equa- tion. (4 points) 2. Explain whether the process above is trend stationary or stochastic trend. (6 points) 3. Explain the method that you would use to remove the trend in point 1 & 2. (4 points) 4. Consider now a series with the following motion: AY₁ = a + et. Given initial value of Yo, write the general solution of the difference equa- tion. (6 points) 5. Explain whether the process above is trend stationary or stochastic trend. (6 points) 6. Explain the method that you would use to remove the trend in point 4 & 5. (4 points) 7. Write the hypothesis for a unit roots test. Write the specification to test for unit roots using the Dickey-Fuller Test. (5 points) 8. Write the specification to test for unit roots using the Augmented Dickey- Fuller Test. (5 points)
Answers
1. Consider a series that changes deterministically: AYt = a. Given initial value of Yo, write the general solution of the difference equation. A difference equation of the form Ay(t) = a has a general solution of y(t) = A + at, where A is a constant of integration. Therefore, the general solution for the difference equation in question is y(t) = Yo + at.
2. In a trend stationary process, the trend is deterministic. Therefore, it is stationary after removing the trend. In a stochastic trend, the trend is stochastic, and the process is non-stationary even after the trend is removed. Since the process above has a deterministic trend, it is a trend stationary process.
3. The first difference of the series should be taken to remove the trend from the series. The first difference is calculated as y(t) - y(t-1).
4. Consider now a series with the following motion: AY₁ = a + et. Given the initial value of Yo, write the general solution of the difference equation. The difference equation Ay(t) = a + et has a general solution of y(t) = (a/e) + A + Bt + ut, where u(t) is a stationary noise term with zero mean and constant variance. Therefore, the general solution to the difference equation in question is y(t) = a/e + Yo + Bt + ut.
5. Explain whether the process above is trend stationary or stochastic trend. Since the process above has a stochastic trend, it is a non-stationary process.
6. The first difference of the series should be taken to remove the trend from the series. The first difference is calculated as y(t) - y(t-1).
7. The hypothesis for a unit root test is that a series has a unit root, meaning it is non-stationary. The Dickey-Fuller test can be used to test for unit roots by regressing the first difference of the series on the lagged level of the series and testing whether the coefficient on the lagged level is significantly different from zero
8. The Augmented Dickey-Fuller test can be used to test for unit roots by regressing the first difference of the series on the lagged level of the series and the lagged first difference of the series and testing whether the coefficient on the lagged level is significantly different from zero.
To know more about the Dickey-Fuller test, visit:
brainly.com/question/30699863
#SPJ11
What explanation does Mrs Wright give her husband's death?
Answers
Mrs. Wright give here explanation against her husband's death that somebody strangled him
The term trifles is a one-act play written by Susan Glaspell
And in that play they represents the two women discuss the life of a woman accused of murdering her husband, here we have also know that while the sheriff and county attorney investigate the scene.
Here we have to know that In Trifles the character names as Mrs. Wright explains her husband's death by saying he died "of a rope around his neck."
And here she also claims that someone strangled him and she also explains her situation in order to explain his demise.
To know more about one-act play here
https://brainly.com/question/19837409
#SPJ4
Verbal
4. When describing sets of numbers using interval notation, when do you use a parenthesis and when do you use a bracket?
Answers
Step-by-step explanation:
A parenthesis is used when the number next to it is NOT part of the solution set
like : all numbers up to but not including 3 .
Parens are always next to infinity when it is part of the solution set .
A bracket is used when the number next to it is included in the solution set.
Simplify -4b + (-9k) - 6 - 3b + 12
Answers
Answer:
-7b - 9k + 6
General Formulas and Concepts:
Alg I
Combining like termsStep-by-step explanation:
Step 1: Define expression
-4b + (-9k) - 6 - 3b + 12
Step 2: Simplify
Rewrite: -4b - 9k - 6 - 3b + 12Combine like terms (b): -7b - 9k - 6 + 12Combine like terms: -7b - 9k + 650
The graph shows a proportional relationship between the
number of kilometers traveled by a bicycle (y) and the number of
minutes (x).
45
40
35
30
Distance traveled (km)
What is the unit rate, expressed in kilometers per minute?
25
20
O 0.30 km/min
15
(40, 12)
O 0.33 km/min
03.10 km/min
->
5 10 15 20 25 30 35 40 45 50
Time (min)
3.33 km/min
1
2
3
4
5
6
7
8
Next
9
10
Answers
Given a graph with a line running through coordinates (0,0) and coordinates (40,12), the unit rate of the relationship between the number of kilometers traveled by a bicycle (y) and the number of minutes (x) is given by the slope of the line.
the temperature was 15 .it dropped so that the temperature was 0 . what integer represents the change in temperature?
Answers
Answer:
if the temperature was at 15 and dropped to zero the amount it changed would be is -15. The integer is -15 because an integer is a whole number and it can also be a negative or positive number it just can not be a fraction
The value given below is discrete. Use the continuity correction and describe the region of the normal distribution that
corresponds to the indicated probability.
Probability of more than 5 passengers who do not show up for a flight
Choose the correct answer below.
O A. The area to the right of 5.5
O B. The area between 4.5 and 5.5
O C. The area to the left of 5.5
Answers
The region of the normal distribution that corresponds to the indicated probability of more than 5 passengers who do not show up for a flight is:
A. The area to the right of 5.5
What is probability?
Probability is usually expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.
To use the continuity correction, we consider the probability of more than 5 passengers who do not show up for a flight. Since the value given is discrete, we can apply the continuity correction to approximate the discrete probability with a continuous distribution.
To find the region of the normal distribution that corresponds to the indicated probability, we need to consider the boundaries of the event. In this case, the event is "more than 5 passengers who do not show up for a flight."
Using the continuity correction, we adjust the boundaries by adding or subtracting 0.5 to account for the discrepancy between the continuous approximation and the discrete value.
Since we are interested in more than 5 passengers, we adjust the upper boundary to 5 + 0.5 = 5.5.
Therefore, the region of the normal distribution that corresponds to the indicated probability of more than 5 passengers who do not show up for a flight is:
A. The area to the right of 5.5
To learn more about probability visit:
https://brainly.com/question/25839839
#SPJ4
PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
The addition of the expression \((-8-\frac{1}{4}p )+(\frac{5}{8}p-7 )\) is \(-15+\frac{3}{8}p\)
How to add and subtract linear expression?A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Therefore, let's add the given linear expression as follows:
Hence,
\((-8-\frac{1}{4}p )+(\frac{5}{8}p-7 )\)
Hence, let's open the brackets of the expression as follows
\(-8-\frac{1}{4}p +\frac{5}{8}p-7\)
Combine like terms as follows;
\(-8-7-\frac{1}{4}p +\frac{5}{8}p\)
\(-15+\frac{-2p+5p}{8}\)
\(-15+\frac{3}{8}p\)
learn more on linear expression here: https://brainly.com/question/14725362?
#SPJ1
I don’t know which one it is I dint get it?
Answers
Answer:
5,5,5
Step-by-step explanation:
an equilateral triangle
The number of members in an organization, M, changes as a function of t months. In which situation is M a linear function of t?
The membership doubles every year from the previous year.
1.The membership doubles every year from the previous year.
2.The membership increases by 1% every month from the previous month.
3.The membership decreases by 20 members every month from the previous month.
4.The membership increases by 50 members in each of the six warmest months and decreases by 50 members in each of the other six months.The membership doubles every year from the previous year.
Answers
Answer: D. The membership increases by 50 members in each of the six warmest months and decreases by 50 members in each of the other six months.
Step-by-step explanation: Because it is a linear function it needs to fluctuate so by using process of elimination D is the only answer that would look like a linear function by having that curved line we are looking for in a function.
please help!
In right triangle ABC, angle C is a right angle, AB = 13, and BC = 5.
What is the length of AC?
Answers
Answer:
Step-by-step explanation:
AC=\(\sqrt{13^{2} -5^{2} }\)
=12
What is the correct answer?
Answers
Answer:
48 cubic meters ...........
The Point class represents x,y coordinates in a Cartesian plane. Which line of code appears completes this operator which transforms a Point by dx and dy? (Members written inline for this problem.) class Point { int x_{0}, y_{0};public: Point(int x, int y): x_{x}, y_{y} {} int x() const { return x_; } int y() const { return y_; }};Point operator+(int dx, int dy) { return _________________________;}
Answers
The correct line of code that completes this operator which transforms a Point by dx and dy is shown below: Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Note that the function operator+ takes two arguments: an integer dx and an integer dy.
The function returns a point, which is created by adding dx to x and dy to y.The completed code is shown below:class Point { int x_{0}, y_{0};public: Point(int x, int y): x_{x}, y_{y} {} int x() const { return x_; } int y() const { return y_; }};Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Therefore, the correct answer is: `Point(x_+dx,y_+dy)`
Learn more about operator
https://brainly.com/question/29949119
#SPJ11
Can someone help me out on this
Answers
Answer:
Step-by-step explanation:
Abba grew 1 foot over the past year . He is now 5 feet tall. Draw a bar model to compare abba's previous height to the amount he grew over the past year
Answers
Answer:
Please find attached the bar model that shows the comparison between Abba's previous height to the height by which Abba grew over the past year
Step-by-step explanation:
A bar model, in mathematics, is defined as a graphic depiction of a given quantity represented by numbers presented in a rectangular box or bar form that is then applied in finding numerical relationship solutions
The height by which Abba grew over the past 1 year = 1 ft.
Abba's current height = 5 feet
Therefore, Abba's initial height = 5 feet - 1 foot = 4 feet
Please find attached the bar model that compares Abba's previous height to the height Abba grew over the past year created with Microsoft Visio
This is the thing that I need help on pls helpppp
Answers
Answer:
144 in^2
Step-by-step explanation:
Using the A = s^2 and the text says that s= 12in
the answer is 12 in * 12 in = 144 in^2
i will give you brainliest
Answers
Answer:
For a it's 1, for b, it's 9
Step-by-step explanation:
1 is equal to 7/7. 9/1 is equal to 9.
Hope this helps! If it does, please mark me brainliest. Thank you! ;)
hello please help i’ll give brainliest
Answers
Answer:
The Colosseum.
Step-by-step explanation:
Answer: The collosseum
Step-by-step explanation:
Shannon and Glenn Taylor have secured a $150,000 loan. They will finance the closing costs shown above as part of the mortgage. What is the total of their closing costs and the actual amount financed with the mortgage?
Answers
The closing costs and actual amount financed with the mortgage are $4,500 and $154,500 respectively.
How to find closing costs and the actual amount?Closing costs are fees and taxes associated with buying and selling a home. They can include things like title insurance, appraisal fees, and origination fees. In this case, the Taylors will be financing the closing costs as part of their mortgage. This means that the total amount they will be borrowing will be $150,000 plus the closing costs.
The total amount financed with the mortgage is $150,000 + $4,500 = $154,500.
The closing costs are $4,500.
The actual amount financed with the mortgage is $154,500.
Find out more on closing costs here: https://brainly.com/question/1084194
#SPJ1
dy Find the general solution of the differential equation: dt Use lower case c for constant in answer. y(t) = - Y t - 2.
Answers
The general solution of the differential equation is y = (c2 - c1)/(2(t - 1)), where c1 and c2 are arbitrary constants.
To find the general solution of the given differential equation, we can start by separating variables and integrating both sides. Here are the steps to find the solution:
Step 1: Start with the given differential equation: dy/dt = -y/(t - 2).
Step 2: Separate the variables by multiplying both sides by (t - 2) to get rid of the denominator: (t - 2)dy = -y dt.
Step 3: Integrate both sides with respect to their respective variables:
∫(t - 2)dy = ∫-y dt.
Step 4: Evaluate the integrals:
∫(t - 2)dy = y(t - 2) + c1, where c1 is the constant of integration.
∫-y dt = -∫y dt = -y(t) + c2, where c2 is another constant of integration.
Step 5: Set the two expressions equal to each other:
y(t - 2) + c1 = -y(t) + c2.
Step 6: Rearrange the equation to isolate y terms:
y(t - 2) + y(t) = c2 - c1.
Step 7: Combine like terms:
2yt - 2y = c2 - c1.
Step 8: Factor out y:
y(2t - 2) = c2 - c1.
Step 9: Divide both sides by (2t - 2):
y = (c2 - c1)/(2t - 2).
Step 10: Simplify the expression:
y = (c2 - c1)/(2(t - 1)).
To learn more about differential equation click here:
brainly.com/question/32538700
#SPJ11
What value of n makes the equation true?
-1/5n+7=2
n=
Answers
\( \frac{ - n}{5} + 7 = 2 \\ \\ \frac{ - n + 35}{5} = 2 \\ \\ - n + 35 = 10 \\ \\ - n = 10 - 35 \\ \\ - n = - 25\)
cancel (-) sign both sides ,
\(n = 25.\)
A person's height is 5-ft 3-in. Their shadow has a length of 3-ft 6-in. If a nearby tree has a shadow of length 10-ft 4-in, what is the approximate height of the tree?
Answers
Answer: The height of tree = 15 ft. 6 inches
Step-by-step explanation:
Given: A person's height is 5-ft 3-in = [5 x (12 )+3 ] inches [ 1 ft= 12 inches]
= 63 inches
Their shadow has a length of 3-ft 6-in = [3 x 12+6] inches
= 42 inches
If a nearby tree has a shadow of length 10-ft 4-in = [10 x 12+4] inches
= 124 inches.
At the same time,
\(\dfrac{\text{Height of tree}}{\text{Height of person}}=\dfrac{\text{Length person's shadow}}{\text{Length of tree's shadow}}\\\\\dfrac{\text{Height of tree}}{63}=\dfrac{124}{42}\\\\\Rightarrow\ \text{Height of tree}=\dfrac{124}{42}\times63=186\ inches\\\\=\dfrac{186}{12}= 15.5 ft\ or\ 15 ft.\ 6\ inches.\)
Hence, the height of tree = 15 ft. 6 inches
I need help with this one please!!!!
Answers
Answer:
V = 90 cm³
Step-by-step explanation:
the volume (V) of the prism is calculated as
V = area of triangular face × length of prism
= \(\frac{1}{2}\) bh × 3
= \(\frac{1}{2}\) × 12 × 5 × 3
= 6 × 5 × 3
= 90 cm³
Mrs. Hall spends 1 hour and 30 minutes doing yardwork. She spends 40 minutes cutting the grass. She divides the rest of her time evenly between planting a new bush and pulling weeds. How long does she spend pulling weeds?
Answers
Answer:
1 hour and 5 minutes
Step-by-step explanation:
1 hour equals 60 minutes
60 plus 30 equals 90
90 plus 40 equals 130
130 divided by 2 is 65
65 is turned into 1 hour and 5 minutes
Hope this helps
Welcome to Brainly Community