A certain loan program offers an interest rate of 2% compounded continuously. assuming no payments are made how much would be owed six years on a loan of $2300
Answers
The amount of money owed on a loan of $2300 for six years is $2590.17
The compound interest on a principal is given by:
\(A=P(1+\frac{r}{n} )^{nt}\)
Where A is the final amount, r is the rate, P is the principal, t is the period and n is the number of times compounded in a period.
Given that:
P = 2300, r = 2% = 0.02, n = 1, t = 6 years, hence:
\(A=2300(1+\frac{0.02}{1} )^{6*1}\\\\A=2590.17\)
The amount of money owed on a loan of $2300 for six years is $2590.17
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Related Questions
-12 41/24 in simplest form.
Answers
Answer:
-13 17/24
Step-by-step explanation:
-12 41/24 is equivalent to -(-12 41/24), or - (12 + 24/24 + 17/24)
Combining 12 and 24/24, we get 13, and thus have: -(13 17/24), or
-13 17/24
Answer:
-11 17/24
Step-by-step explanation:
-12 41/24 is equivalent to -(-12 41/24), or - (12 + 24/24 + 17/24)
Combining -12 and 24/24, we get -11, and thus have: -(11 17/24), or
-11 17/24
en Vision Algebra 2
1-1 Reteach to Build Understanding
Key Features of Functions
Linear, quadratic, and absolute-value functions can be graphed using key features
that the equation identifies. Key features can be labeled using either set builder
notation or interval notation. Interval notation represents a set of real numbers by
a pair of values. Parentheses are used when the points are not included. Brackets
are used for when a boundary point is included.
1. Use the function f(x) = x2 – 16 and identify the key features that are listed in
the table for the graph. Label the graph with the key features.
Key Feature
Domain
Range
Minimum Value
Function is Function is
x-intercept
decreasing increasing
10
y-intercept
LEAD) 14.0VA
Function is Positive
-2 O
Function is Negative
TO
Interval Increasing
Domain:
Interval Decreasing
Range:
-20160-16)
Answers
Answer:
Domain : \((-\infty,\infty)\), Range : \((-16,\infty)\), Minimum Value = -16
Function is a quadratic function. x-intercepts are -4 and 4.
The function decreasing before vertex = \((-\infty,0)\)
The function increasing after vertex = \((0,\infty)\)
y-intercept is -16.
Function is Positive : \((-\infty,-4)\cup (4,\infty)\), Function is negative : \((-4,4)\)
Interval Increasing Domain: \((0,\infty)\), Interval Decreasing Range: \((-\infty,-16)\)
Step-by-step explanation:
The given function is
\(f(x)=x^2-16\) ...(1)
It is an upward parabola because coefficient of \(x^2\) is positive.
The vertex form of a parabola is
\(f(x)=a(x-h)^2+k\) ...(2)
where, a is constant and (h,k) is vertex.
From (1) and (2), we get
\(a=1,h=0,k=-16\)
So, vertex of the parabola is (0,-16).
Key features are:
The given function is defined for all values of x. So,
Domain : \((-\infty,\infty)\)
The value of a function which is an upward parabola cannot be less than the y-coordinate of its vertex.
Range : \((-16,\infty)\)
Minimum Value = y-coordinate of vertex = -16
Function is a quadratic function.
For f(x)=0,
\(0=x^2-16\)
\(16=x^2\)
\(x=\pm 4\)
So, x-intercepts are -4 and 4.
The function decreasing before vertex = \((-\infty,0)\)
The function increasing after vertex = \((0,\infty)\)
For x=0,
\(f(0)=(0)^2-16=-16\)
So, y-intercept is -16.
Function is Positive : \((-\infty,-4)\cup (4,\infty)\)
Function is negative : \((-4,4)\)
Interval Increasing Domain: \((0,\infty)\)
Interval Decreasing Range: \((-\infty,-16)\)
Write the linear equation that gives the rule for this table.
Answers
Linear equations are two-variable equations that graph as a straight line.
What is meant by linear equation?An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation. The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.
Two-variable equations that graph as a straight line are said to be linear equations. The slope and y-intercept of a linear equation allow it to be graphed. Y = mx + b, where m is the slope and b is the y-intercept, is the formula used to represent a line. A graph's straight line can be represented by a linear equation.
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The weight of meteorite A is 8times the weight of meteorite B. If the sum of their weights is 189 tons, find the weight of each.
Answers
The weight of meteorite A and B are 21 and 168 tons respectively.
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, The weight of meteorite A is 8 times the weight of meteorite B. And the sum of their weights is 189 tons,
To find their weights we need to establish an equation, relating their weights,
Let weight of meteoroid B be x, then weight of meteoroid A will be 8x,
Establishing the equation,
8x+x = 189
9x = 189
x = 21
8x = 21x8 = 168
Hence, The weight of meteorite A and B are 21 and 168 tons respectively.
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Calculate the value for the for the following scores 20, 60, 30, 50 given:
begin inline style begin display style sum for blank of end style end style x squared =
Answers
The sum of the scores is equal to 160.
What is a mean?In Mathematics, a mean is sometimes referred to as an average and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.
How to calculate the mean for a data set?Mathematically, the mean for this set of scores can be calculated by using the following formula:
Mean = [F(x)]/n
For the total number of scores (data set), we have;
∑x = 20 + 60 + 30 + 50
∑x = 160.
Mean = [F(x)]/n = 160/4 = 40.
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Please answer this correctly
Answers
Answer:
Step-by-step explanation:
area = Area of rectangle 1 + area of rectangle 2 + area of rectangle 3 + area of triangle
=5 * 12 + 5*5 + 2*3 + (1/2)* 4 * 3
= 60 + 25 + 6 +6
= 97
Solve the equation. Determine whether the equation has one solution, no solution, or
infinitely many solutions.
40 - 20 = -20 + 40
Answers
Answer:
20=20
Step-by-step explanation:
40-20=-20+40 or, 20=20
A spinner has 20 equally sized sections, 12 of which are red and 8 of which are green. The spinner is spun and, at the same time, a fair coin is tossed. What is the probability that the spinner lands on green and the coin toss is heads?
Answers
The chance of the spinner stop on green and therefore the coin toss becoming heads is 1/5.
How to define the probability?The likelihood of an event occurring is defined as the ratio of the number of incidents favorable to the occurrence to the total number of cases.
Probability(event) = favorable outcome/ total outcome.
Given that these are 2 separate events:
There are total section in the spinner is 20.
Out of 20, 8 are marked green
The probability that green will come;
P(green) = 8/20.
Now. for the toss of coin, either head or tail will come.
Thus, the probability the head will appear.
P(head) = 1/2
The likelihood that the spinner would then land on green and the tossed coins will be heads:
= (8/20)×(1/2)
= 1/5
Thus, the likelihood of the spinner landing on green and thus the coin toss being heads is 1/5.
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Please answer this correctly
Answers
Answer:
Raspberry: 30%
Strawberry: 15%
Apple: 20%
Lemon: 35%
Step-by-step explanation:
18 + 9 + 12 + 21 = 60 (there are 60 gummy worms)
18 out of 60 = 30%
9 out of 60 = 15%
12 out of 60 = 20%
21 out of 60 = 35%
Please mark Brainliest
Hope this helps
Answer:
Raspberry Worms: 30%
Strawberry Worms: 15%
Apple Worms: 20%
Lemon Worms: 35%
Step-by-step explanation:
Raspberry Worms: \(\frac{18}{18+9+12+21}=\frac{18}{60}=\frac{30}{100}\) or 30%
Strawberry Worms: \(\frac{9}{18+9+12+21}=\frac{9}{60} =\frac{15}{100}\) or 15%
Apple Worms: \(\frac{12}{18+9+12+21} =\frac{12}{60} =\frac{20}{100}\) or 20%
Lemon Worms: \(\frac{21}{18+9+12+21} =\frac{21}{60} =\frac{35}{100}\) or 35%
Pleaseeee helppp in class ASAP!!!
Answers
Answer: 678
Step-by-step explanation: ii
Which of these is another way to write the function f(x) = 5*
Answers
Answer:
May you kindly provide us with a selection of choices? Thank you ! :)
Step-by-step explanation:
The graph below represents the linear equation y = one-half x minus 3. On a coordinate plane, a line goes through (0, negative 3) and (6, 0). A second linear equation is represented by the data in the table. x y –1 1 0 0 2 –2 3 –3 What is the solution to the system of equations? (–2, –4) (1, –1) (2, –2) (4, –4)
Answers
Answer:
(2, -2)
Step-by-step explanation:
Plotting the points from the table onto the graph of the line, you see the lines intersect at (2, -2).
The solution to the system of equations is (2, -2).
Answer:
(2, -2)
Step-by-step explanation:
The person above me explains it with a graph
► Find the percent change and tell whether it is a percent increase or a
percent decrease.
1 Original amount: 20
End amount: 15
2 Original amount: 30
End amount: 45
3 Original amount: 625
End amount: 550
4 Original amount: 320
End amount: 112
5 Original amount: 165
End amount: 222.75
6 Original amount: 326
End amount: 423.80
7 Original amount: 27
End amount: 38.61
8 Original amount: 60
End amount: 70.02
Answers
Answer:
1 Original amount: 20
End amount: 15
(20 - 15)/20 x 100 = (5/20) x 100 = 25% decrease2 Original amount: 30
End amount: 45
(45 - 30)/30 x 100 = (15/30) x 100 = 50% increase3 Original amount: 625
End amount: 550
550/625 =550 ÷ 625 =0.880.88 =0.88 × 100/100 =(0.88 × 100)/100 =88/100 =88% decrease4 Original amount: 320
End amount: 112
(112-320):320x100 =100 =(112:320-1)x100 =100 =35-100 = -65% decrease5 Original amount: 165
End amount: 222.75
165/222.75 =165 ÷ 222.75 ≈0.7407407407407410.740740740740741 =0.740740740740741 × 100/100 =(0.740740740740741 × 100)/100 ≈74.074074074074/100 =74.074074074074% ≈74.07% Increase6 Original amount: 326
End amount: 423.80
(423.8-326):326x100 =100 =(423.8:326-1)x100 =100 =130-100 = 30% Increase7 Original amount: 27
End amount: 38.61
(38.61-27):27x100 =100 =(38.61:27-1)x100 =100 =143-100 = 43% Increase8 Original amount: 60
End amount: 70.02
(70.02-60):60x100 =100 =(70.02:60-1)x100 =100 =116.7-100 = 16.7% Increase1
6
4n+
35
+6q+
+ 3n - 4q=1
35
10 Points
Answers
Answer:
7n + 1/5 + 2q
Step-by-step explanation:
Identify like terms
(4n + 3n) + (6/35 + 1/35) + (6q -4q)
Add like terms
7n + 7/35 + 2q
7/35 simplifies to 1/5
(PHOTO) please help need this done by tomorrow thank you.
Answers
Answer:
x=9
Step-by-step explanation:
The purple expressions are equal because they are Z angles.
So solve
2x + 15 = 5x - 12
=>
15 + 12 = 5x - 2x
27 = 3x
x = 27/3 = 9
2. Oscar rides his skateboard 5/8 mile in 1/4 hour. How fast, in miles per hour, does he ride his skateboard?
Answers
Answer:
He rides 2 miles 4/8 or a half an hour
Step-by-step explanation:
Please thank me
Answer:
2 1/2 miles per hour
Step-by-step explanation:
To find the rate, take the distance and divide by the time 5/8 miles÷ 1/4 hour Copy dot flip 5/8 * 4/1 5/2 miles per hour 2 1/2 miles per hour
Aslam purchased 1000 squad. meter land for 3 Crore to build a factory at the end of the year market value the land 2.70 Crore is this a correct treatment
Answers
Answer:
deprication a/c Dr. 30,00,000
To land a/c 30,00,000
Step-by-step explanation:
deprication is an expense so, according to modern rules of accounts Dr. debit all assets & expenses and cr. credit all income, capital, all liability
(assets ) land value is deprecating so, deprication is an expense so, we Dr. deprication a/c expense is an increase (name the expense) and the value of land (assets) is diminishing Or depricating so, cr. land a/c
Match each drawing on the left with its geometric notation on the right. Some of the answer choices on the right may not be used.
Answers
Answer:
Please attach a photo to this so I can better answer your question
Ernesto bought a 20-pound bag of dog food for his Great Dane, Tank. After 7 days, all the dog food was gone.
How much dog food did Tank eat each day?
Answers
Answer:
About 2.9 pounds per day.
Step-by-step explanation:
20÷7=2.85714...
rounded- 2.9
So Tank, the Great Dane, ate about 2.9 pounds per day.
Answer:
Step-by-step explanation:
2 6/7
Help Plz
An angle measures 4 times its complement. What is the supplement of the smaller angle?
Answers
Answer:
Supplement of smaller angle is 120°.
Step-by-step explanation:
We write 'angle' as the variable x.
A supplementary angle totals of 180° and a complementary angle totals of 90°.
We get an equation by - x on both sides because it says the sum is equal to 180°/90°.
180° - x is for the supplementary angle.
90° - x is for the complementary angle.
Since it says 4 times the complement, we multiply the complementary angle with 4 and make it into an equation-
180° - x = 4 × (90° - x)
180° - x = 360° - 4x
3x = 180°
x = 60°
We insert the x into the two 180° - x and 90° - x -
Supplementary angle: 180° - 60° = 120°
Extra:
Complementary angle: 90° - 60° = 30°
Of 100 students in a club,23 are freshman. What percent of the students are freshman ?
Answers
Answer
Percentage of students that are freshman = 23%
Explanation
Total number of students in a club = 100
Number of freshman = 23
Percentage of students that are freshman = [(Number of freshman)/(Total number of students in a club)] x 100
Percentage of students that are freshman = (23/100) x 100
Percentage of students that are freshman = 23%
What is the slope of the line?
Answers
Answer:
It could be 0, is the question multiple choice?
a horizontal line always has a slope of 0, now, for the sake of a silly proof, let's do some rigamarole to get it.
to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below
\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{7}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{7}-\stackrel{y1}{7}}}{\underset{\textit{\large run}} {\underset{x_2}{7}-\underset{x_1}{(-3)}}} \implies \cfrac{0}{7 +3} \implies \cfrac{ 0 }{ 10 } \implies \stackrel{ }{\text{\LARGE 0}}\)
Find the common difference.
-5/3, -1/6, 4/3, 17/6
Answers
9514 1404 393
Answer:
3/2
Step-by-step explanation:
The common difference can be found as the difference of any two adjacent terms. It is convenient to choose terms with the same sign:
17/6 -4/3 = 17/6 -8/6 = 9/6 = 3/2
The common difference is 3/2.
The dot plot shows the ages of the 20 people currently in Ms. Jens classroom.
Which MEASURE OF VARIATION would be best to describe this distribution pls helpp
A. median
B. interquartile range
C. range
D. mean
Answers
The dot plot describes the mean of the data.
What are the dot plots:Data points are represented as dots on a graph with the x- and y-axis. A dot plot also referred to as a strip plot or dot chart, is a straightforward type of data visualization.
These kinds of graphs are used to visually represent particular data trends or groupings. Dot plots make it possible to quickly visualize the data's central tendency, dispersion, skewness, and modality.
Here we have
The dot plot shows the ages of the 20 people
Where the x-axis represents the ages of students and the y-axis represents the number of students.
Since the given data is symmetrical and don't have any outliers and the outliers 27 don't affect the mean, the given data will represent the mean of the data.
Therefore,
The dot plot describes the mean of the data.
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How can you check if a line belongs to a plane (Cartesian equation of the line and the equation of the plane is given)?
Answers
For example, suppose you have the Cartesian equation of a line in the form:
y = mx + b
and the equation of a plane in the form:
ax + by + cz + d = 0
To check if the line belongs to the plane, you can substitute a point (x, y) on the line into the equation of the plane and solve for z. If the resulting value of z satisfies the equation of the plane, then the line belongs to the plane.
Here's an example:
Suppose the Cartesian equation of the line is y = 2x + 1, and the equation of the plane is 2x + 3y + 4z + 5 = 0.
If we substitute a point on the line, such as (1, 3), into the equation of the plane, we get:
2(1) + 3(3) + 4z + 5 = 0
Solving for z, we find that z = -1.5.
Since the resulting value of z satisfies the equation of the plane, the line belongs to the plane.
If the resulting value of z does not satisfy the equation of the plane, then the line does not belong to the plane.
What are the roots of y = x² – 3x – 10? O-3 and -10 0-2 and 5 O2 and -5 O3 and 10
Answers
Answer:
x = - 2 , 5
Step-by-step explanation:
to find the roots let y = 0 , that is
x² - 3x - 10 = 0 ← in standard form
(x + 2)(x - 5) = 0 ← in factored form
equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 5 = 0 ⇒ x = 5
10. You can model the population of a Florida town between the years 1980 and 2015 by
the function f(x) = 90,000(x – 1960), where x is the year. In what year did the town have a
population of 450,000?
Answers
A performer expects to sell $5000 tickets for an upcoming concert. They plan to make a total of $311000 in sales from these tickets. Assume that all tickets have the same price. Write an equation to represent the relationship between the number of tickets sold, $x, and the total amount of money (in dollars) that they make, $y.
Answers
311000/5000 =62.2
You can’t put 62 because that us less than the value they need. So 63 would be the number because you can’t have a partial ticket.
In standard form, the equation becomes 5000x - 311000 = 0 where x is number of tickets sold.
Let's break down the given information:
The performer plans to sell $5000 tickets.
The total sales they plan to make is $311000.
Let's use the variables x and y to represent the number of tickets sold and the total amount of money, respectively.
Since the tickets are sold for $5000 each, the total amount of money earned from selling x tickets would be 5000x dollars.
According to the given information, the performer plans to make $311000 in sales. Therefore, we can write the equation:
5000x = 311000
This equation represents the relationship between the number of tickets sold (x) and the total amount of money made (y).
In standard form, the equation becomes:
5000x - 311000 = 0
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What are the coordinates of point Q?
How many units below the x-axis is point Q?
Will point Q' be above or below the x-axis?
How many units above or below the x-ax will it be?
Does reflection across the x-axis change the x-coordinates? If yes, how?
Does reflection across the x-axis change the y-coordinates? If yes, how?
What are the coordinates of point Q?
What are the coordinates for the other vertices of Q'R'ST?
R’
S’
T’
Draw figure Q’R’S’T’ on the coordinate plane and label the pints at the vertices
Answers
Answer:
Q (-4, -2); 2 units; Q' will be above the x-axis; 2 unites; no; yes, the y coordinates are multiplied by -1; Q' (-4, 2); R' (-2, 2), S' (1, 5), T' (-2, 5);
Step-by-step explanation:
even after a reflection over the x-axis, each points distance from the x-axis will stay the same
the x-coordinates don't change because the distance from the y-axis stays the same
the picture below shows points of Q'R'S'T', just connect the vertices
Students are making lemonade from a powdered lemon drink mix. Tristan mixes 7 cups of water and 3 cups of powdered lemon mix. Yaritza mixes 2 cups of water and 1 cup of powdered lemon mix. Use Tristan and Yaritza’s percent of water to determine whose mix will be more watery.
Answers
Comparing the percent of water, we can see that Tristan's mix has a higher percent of water, which means it will be more watery so Tristan's mix will be more watery than Yaritza's mix.
To determine whose mix will be more watery, we need to compare the percent of water in each mix.
The higher the percent of water, the more watery the mix will be.
Tristan's mix has a total of 7 + 3 = 10 cups of liquid
The percent of water in Tristan's mix is: (7 cups of water / 10 cups of liquid) x 100% = 70%
Yaritza's mix has a total of 2 + 1 = 3 cups of liquid (water + powdered lemon mix).
The percent of water in Yaritza's mix is: (2 cups of water / 3 cups of liquid) x 100% = 66.7%
Comparing the percent of water, we can see that Tristan's mix has a higher percent of water, which means it will be more watery.
Therefore, Tristan's mix will be more watery than Yaritza's mix.
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