Answer: The slop is 1
Step-by-step explanation: The coordinates points:
(-2,-8), and (-3,-9)
x1 = -2 y1= -8
x2 = -3 y2= -9
m = y2 - y1/ x2 - x1
put the value
m= -9 - (-8) / -3 - (-2)
= -9 + 8 / -3 + 2
= -1/-1
= 1
Learn more about
https://brainly.com/question/15196578
I only need the answer to question 5 please help
Answer: A
Step-by-step explanation:
hope this helps
Which graph represents y and as a function of x
Answer: B
Step-by-step explanation:
If you do the vertical line test, which means if you drew a vertical line(straight up and down line) anywhere on the graph and there should never be more than 1 point. A, C, D all have multiple points that touch more than once.
answer B
Solve for the missing height of the following cones, given the volume. Round to the nearest
tenth.
Volume = 13.4 m³
5
5.
Volume = 100 in.
8 in.
□
6.
3.2 m
h
0/0 Pts
The height of the cone that has a volume of 100 cubic inches is calculated to the nearest tenth as: h ≈ 6.0 in.
How to Find the Height of the Cone?To find the height of the cone, recall he formula for finding the volume of a cone which is expressed as:
Volume (V) = 1/3πr²h
Given the following:
Volume = 100 in.³
Radius (r) = 8/2 = 4 in.
Plug in the values:
100 = 1/3 * 3.14 * 4² * h
100 = 16.7 * h
Divide both sides by 16.7
100/16.7 = h [Division property of equality][
h ≈ 6.0 in.
The height is approximately 6.0 inches.
Learn more about the cone on:
https://brainly.com/question/6613758
#SPJ1
A farmer has 8 horses and 12 cows. He put 1/4 of the horses in the barn and 1/4 of cows in the barn. Did he put more horses or cows in the barn? explain
Answer:
More cows
Step-by-step explanation:
more cows because:
8*1/4=2
12*1/4=3
Terrance, who is 5 feet tall, went out to measure shadows in his backyard. He recorded his measurements in the table. Find the unknown heights.
The unknown are heights are shown in the complete table:
Person/Item Shadow length(ft) Height (ft)
Terrace 7.5 5
Bird feeder 9 6
Swing set 12 8
Maple tree 91.5 61
Calculating the values of the unknown heightsFrom the question, we are to determine the value of the unknown heights in the given table.
The given table is:
Person/Item Shadow length(ft) Height (ft)
Terrace 7.5 5
Bird feeder 9
Swing set 12
Maple tree 91.5
From the first item in the table, the ratio of Height to Shadow length is
5/ 7.5 = 2/3
We can multiply the shadow lengths with this ratio to get the corresponding heights
For Bird feeder9 × 2/3 = 6
For Swing set12 × 2/3 = 8
For Maple tree9 × 2/3 = 61
Thus,
The complete table is:
Person/Item Shadow length(ft) Height (ft)
Terrace 7.5 5
Bird feeder 9 6
Swing set 12 8
Maple tree 91.5 61
Learn more on Calculating unknown heights here: https://brainly.com/question/25705904
#SPJ1
e movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending.
Is (2, 2) a solution to the system y - x = - 4 and -3x - 2y = - 10?
No, because (2, 2) is a solution to only one equation.
Yes, because (2, 2) is a solution to one equation.
No, because (2, 2) is a solution to neither equation.
OYes, because (2, 2) is a solution to both equations.
Correct statement is,
No, because (2, 2) is a solution to neither equation.
We have to given that;
Equations are,
y - x = - 4 .. (i)
- 3x - 2y = - 10 .. (ii)
Now, Plug x = - 2 and y = 2 into above equations as;
y - x = - 4
2 - (- 2) = - 4
2 + 2 = - 4
4 ≠ - 4
- 3x - 2y = - 10
- 3 × - 2 - 2 × 2 = - 10
6 - 4 = - 10
2 ≠ - 10
Thus, Correct statement is,
No, because (2, 2) is a solution to neither equation.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ1
Determine the cost of the points and the new interest rate for each loan amount and interest rate. Assume each point costs 1% of the loan amount
A) 280,000 original apr 4.18%, 1 point with a 0.2% discount
B) 350,000 original apr 2.95%, 2 points with a 0.275% discount per point
C) 600,000 original apr 4.6%, 3points with a 0.225% discount per point
D) 450,000 original apr 3.75%, 1 point with a 0.3% discount
E) 2,000,000 original apr 3.55%, 2 points with a 0.235% discount per point
Answer:
Step-by-step explanation:
A) For a loan amount of $280,000, one point would cost $2,800 (1% of $280,000). With one point, the interest rate would be reduced by 0.2%, so the new interest rate would be:
4.18% - 0.2% = 3.98%
B) For a loan amount of $350,000, two points would cost $7,000 (2 x 1% of $350,000). With two points, the interest rate would be reduced by 0.275% per point, so the new interest rate would be:
2 x 0.275% = 0.55%
2.95% - 0.55% = 2.40%
C) For a loan amount of $600,000, three points would cost $18,000 (3 x 1% of $600,000). With three points, the interest rate would be reduced by 0.225% per point, so the new interest rate would be:
3 x 0.225% = 0.675%
4.6% - 0.675% = 3.925%
D) For a loan amount of $450,000, one point would cost $4,500 (1% of $450,000). With one point, the interest rate would be reduced by 0.3%, so the new interest rate would be:
3.75% - 0.3% = 3.45%
E) For a loan amount of $2,000,000, two points would cost $40,000 (2 x 1% of $2,000,000). With two points, the interest rate would be reduced by 0.235% per point, so the new interest rate would be:
2 x 0.235% = 0.47%
3.55% - 0.47% = 3.08%
Therefore, the cost of the points and the new interest rate for each loan amount and interest rate are as follows:
A) Cost of point: $2,800; New interest rate: 3.98%
B) Cost of points: $7,000; New interest rate: 2.40%
C) Cost of points: $18,000; New interest rate: 3.925%
D) Cost of point: $4,500; New interest rate: 3.45%
E) Cost of points: $40,000; New interest rate: 3.08%
Mariano is standing at the top of a hill when he kicks a soccer ball up into the air. The height of the hill is h feet, and the ball is kicked with an initial velocity of v feet per second. The height of the ball above the bottom of the hill after t seconds is given by the polynomial −16t2 + vt + h. Find the height of the ball after 4 seconds if it was kicked from the top of a 25 foot tall hill at 72 feet per second.
The height of the ball after 4 seconds if it was kicked from the top of a 25 foot tall hill at 72 feet per second is 57 feet.
We are given that the height of the ball after t seconds is given by the polynomial −16[tex]t^{2}[/tex] + vt + h. We need to find the height of the ball after 4 seconds if it was kicked from the top of a 25 foot tall hill at 72 feet per second.
Substituting v = 72 and h = 25 in the given polynomial, we get:
-16[tex]t^{2}[/tex] + 72t + 25
To find the height of the ball after 4 seconds, we substitute t = 4 in the above polynomial:
-16[tex](4)^{2}[/tex] + 72(4) + 25 = -256 + 288 + 25 = 57
Therefore, the height of the ball after 4 seconds is 57 feet.
To learn more about height here:
https://brainly.com/question/23904404
#SPJ1
a bride and groom want to get married on the day when it gets to be highest in the sky. if they live in the united states, around what day of the year will the wedding take place
The day when the sun is highest in the sky varies depending on the location within the United States. However, generally speaking, the highest point of the sun is reached on the summer solstice, which falls around June 20-21 each year.
So if the bride and groom want to get married on the day when the sun is highest in the sky and they live in the United States, their wedding will likely take place around the summer solstice in June.If a bride and groom living in the United States want to get married on the day when the sun is highest in the sky, their wedding should take place around June 21st. This is because June 21st is typically the summer solstice, which is the longest day of the year and when the sun reaches its highest point.Know more about the summer solstice
https://brainly.com/question/28868078
#SPJ11
i need help with What is the difference between marginal cost and marginal revenue?
Answer:
The marginal cost is the additional cost added by increasing the quantity. This is also known as the additional cost “at the margin.” The marginal revenue is the additional revenue added by increasing the quantity. This is also known as the additional revenue “at the margin.”
Step-by-step explanation:
Please mark as brainlist
In a few sentences, explain the differences between the graphs of the functions y=3 (2)* and y=-3 (0.5)*. Use the
values of a and b, quadrants, reflections, and directions of the graphs to justify your reasoning.
The differences between the exponential functions y = 3(2)^x and y = -3(0.5)^x is given as follows:
y = 3(2)^x has a = 3 and b = 2.y = -3(0.5)^x has a = -3 and b = 0.5.y = 3(2)^x is on the first and second quadrants due to the positive value of a.y = -3(0.5)^x is on the third and fourth quadrants due to the negative value of a, hence it can be understood as a reflection of the graph of y = 3(2)^x.y = 3(2)^x goes to infinity when x goes to infinity, as |b| > 1.y = 3(0.5)^x goes to zero when x goes to infinity, as 0 < |b| < 1.How to graph an exponential function?An exponential function is defined as follows:
y = ab^x.
In which:
a represents the value of y when x = 0.b represents the rate of change.More can be learned about exponential functions at https://brainly.com/question/2456547
#SPJ1
Consider the equation 11•10^5t = 20.
Solve the equation for t. Express the solution as a logarithm in base-10.
t=
I
Approximate the value of t. Round your answer to the nearest thousandth t=
The approximate solution of t is 0.052 and the expression is t = log(20/11)/5
Calculating the value of t in the equationFrom the question, we have the following parameters that can be used in our computation:
11•10⁵ⁿ = 20
Divide both sides of the equation by 11
So, we have
10⁵ⁿ = 20/11
Take the logarithm to the base 10 of both sides
This gives
5t = log(20/11)
So, we have
t = log(20/11)/5
Evaluate
t = 0.052
Hence, the approximate solution of t is 0.052
Read more about logarithm at
https://brainly.com/question/28041634
#SPJ1
Which triangle congruence postulate or theorem proves that these triangles are
congruent?
A
pointer
B
N
#
X
Answer:
SAS (Side-Angle-Side)
Lucia invests $400 in a savings account that earns 1.5% interest per year compounded annually. The amount of money in lucia's bank account after x years can be modeled by f(x)=400(1.015)^x. Dorothy invests $200 in a savings account that also earns 1.5% interest per year compounded annually. The amount of money in Dorothy's savings account after x years can be modeled by g(x)=200(1.015)^x. Describe g(x) as a transformation of f(x).
The relation between g(x) and g(x) is a vertical dilation of scale factor of 0.5
How to describe g(x) as a transformation of f(x)?So here we have two exponential functions:
g(x)= 200*(1.015)^x
f(x) =400*(1.015)^x
You can see that the only different thing between the two functions is the initial value. Then we can see that g(x) is a vertical dilation of f(x), such that if the scale factor is k, we can write:
g(x) = k*f(x)
Now let's find the value of k:
200*(1.015)^x = k*400*(1.015)^x
(200*(1.015)^x )/(400*(1.015)^x) = k
200/400 = k
0.5 = k
We have a vertical dilation of scale factor of 0.5
Learn more about dilations at:
https://brainly.com/question/3457976
#SPJ1
2. Consider the following sequence 3; 9; 15 ; _ ; 57.
a) Describe how you get the number after 15 b) write down the general term of the given sequence in the form of Tn=
c) which term in the sequence is equal to 45?
a) The way to get the number after 15 is by finding the fourth term
b) The general term of the given sequence in the form of Tₙ = 2 + 6n
c) The term in the sequence equal to 45 is; The 8th term
How to solve Arithmetic Sequence?The formula for the nth term of an arithmetic sequence is:
aₙ = a + (n - 1)d
where:
a is first term
d is common ratio
The sequence is given as:
3, 9, 15,....,57
Thus:
a = 3
d = 9 - 3 = 6
aₙ = 3 + (n - 1)6
aₙ = 3 + 6n - 1
aₙ = 2 + 6n
The term after 15 is the fourth term. Thus:
a₄ = 3 + (4 - 1)6
a₄ = 21
The term that is equal to 45 is:
3 + (n - 1)6 = 45
(n - 1)6 = 42
n - 1 = 7
n = 8
Read more about Arithmetic Sequence at: https://brainly.com/question/6561461
#SPJ1
At what yearly rate will an amount of 90. 00 earn a simple interest of 150. 00 in 4years
The yearly rate of the given simple interest $150 for time period of 4 years is equal to 41.67%.
Principal amount 'P' = $90.00
Simple interest 'S.I.' = $150.00
Time period 't' = 4 years
Use the formula for simple interest ,
Simple interest = P × r × t
where P is the principal 'initial amount',
r is the annual interest rate as a decimal,
and t is the time in years.
Substitute these values into the formula and solve for the interest rate 'r' ,
⇒ $150.00 = $90.00 × r × 4 years
⇒ $150.00 = $360.00 × r
Dividing both sides by $360.00 we get,
⇒0.4167 = r
Multiplying by 100 to convert to a percentage,
⇒ r = 41.67%
Therefore, the yearly rate of simple interest is equal to 41.67%.
learn more about simple interest here
brainly.com/question/11890614?
#SPJ4
Teenagers at a school sold 430 tickets. The girls sold 15% more tickets than the boys. How many did each group sell?
The boys sold 200 tickets and the girls sold 230 tickets.
Let's represent the number of tickets boys sold as x.
Then, the number of tickets girls sold would be 15% more than the number of tickets boys sold, which is 1.15x.
As per the percent rule:
Together, the total number of tickets sold is given as 430:
x + 1.15x = 430
Combining like terms, we get:
2.15x = 430
Solving for x, we get:
x = 200
So the boys sold 200 tickets, and the girls sold 1.15x = 1.15(200) = 230 tickets.
To learn more about the percentage;
https://brainly.com/question/24159063
#SPJ1
Write an equation to determine the measures of both angles
Determine the measure of ∠1 Label your answer
Determine the measure of ∠2 Label your answer
Answer:
Angles of:
1 = 87 degree, 2= 62 degree
Step-by-step explanation:
Here, we have a Vertically opposite angle so equate both the equations and get the value of x. then substitute the value of x in both equations.
hope it helps!
which of the following is true about the approximate number system?group of answer choicesit is easier to discriminate smaller numbers (8 vs. 16) than larger ones (16 vs. 32).
The statement that is NOT true about infants' approximate number system is option (b) Infants can only discriminate approximate numbers when there is a large difference between the numbers.
Infants possess an innate sense of quantity that enables them to discriminate between different numerical magnitudes. This sense of quantity, also known as the approximate number system, is present in infants as young as 6 months old. Infants are able to discriminate between numerical quantities even when the difference between them is small, and their ability to do so improves with age.
However, their ability to discriminate between numerical quantities can be affected by various factors, including the numerical ratio between the stimuli, the duration of the presentation, and the task demands. Overall, the approximate number system is an important precursor to the development of more advanced mathematical skills.
Therefore, the correct option is (b) Infants can only discriminate approximate numbers when there is a large difference between the numbers.
Learn more about numerical ratio here
brainly.com/question/13567525
#SPJ4
The given question is incomplete, the complete question is:
Which of the following is NOT true about infants' approximate number system?
Select one: a. Infants are able to discriminate approximate numbers by 6 months of age.
b. Infants can only discriminate approximate numbers when there is a large difference between the numbers.
c. Infants are unable to discriminate approximate numbers when dots change in both size and position simultaneously.
d. Infants' ability to discriminate approximate numbers is not dependent on non-numeric perceptual properties.
based on the information in the article, does it appear that in early 2016 u.s. households in fact worked fewer hours and took more leisure time? what do the data suggest?
You should examine the data provided in the article and follow these steps to determine if U.S. households in early 2016 indeed worked fewer hours and took more leisure time.
To determine if U.S. households in early 2016 worked fewer hours and took more leisure time, you would need to analyze the data provided in the article. Here are the steps you should take:
1. Identify the relevant data: Look for statistics or figures related to working hours and leisure time in early 2016.
2. Compare the data: Compare the early 2016 data to data from previous years or periods to see if there is a noticeable change in working hours and leisure time.
3. Analyze trends: Observe any trends or patterns that emerge from the data comparison. This will help you understand if U.S. households worked fewer hours and took more leisure time during the specified period.
4. Interpret the results: Based on the data analysis, draw a conclusion about whether or not U.S. households worked fewer hours and took more leisure time in early 2016.
To know more about data set,
https://brainly.com/question/22210584
#SPJ11
Complete question:
Corporate spending on equipment, structures and intellectual property, decreased an annualized 2.2 percent after a 3.4 percent fall in the first quarter. Outlays for equipment dropped for the fourth time in the past five quarters. Spending on structures -- everything from factories to shops to oil rigs -- have increased in just one quarter since the end of 2014. Inventories and the trade gap are two of the most volatile components in GDP calculations. To get a better sense of demand in the U.S., economists look at final sales to domestic purchasers, or GDP excluding inventories and net exports. That measure increased 2.1 percent last quarter after a 1.2 percent gain. Also holding back economic growth in the second quarter was a decrease in residential investment, which fell at a 6.1 percent pace. That was the most since the third quarter of 2010 and marked the first decrease in two years. Government spending also shrank last quarter, declining 0.9 percent, the most in more than two years as outlays for the military fell. States and municipalities also cut back. The GDP report also showed price pressures remain limited. A measure of inflation, which is tied to consumer spending and strips out food and energy costs, climbed at a 1.7 percent annualized pace compared with 2.1 percent in the prior quarter. Fed policy makers, who left interest rates unchanged this week, said risks to the U.S. outlook have “diminished” and the labor market is getting tighter, suggesting conditions are turning more favorable for an increase in borrowing costs. U.S. Economy Grew Less-Than-Forecast 1.2% in Second QuarterSho ChandraIf
U.S. households decide to work fewer hours and take more leisure time, which component of GDP is most likely to decrease as a result? Choose one: A. net exports B. investment C. consumption D. government spending
Part 2 (2.5 points) Based on the information in the article, does it appear that in early 2016 U.S. households in fact worked fewer hours and took more leisure time? What do the data suggest? According to the article (household consumption,hoisehold incomes, or unemployment) grew at an annualized rate of ( what?) percent, a ( drop or jump ?) compared to the recent past. This suggests that households worked (fewer or mre?) hours and took (less or more?) leisure time. 2 OF 19 QUESTIONS COMPLETED
A sphere of radius 5 in is cut by a plane along a diameter and a cube of length 10 in is cut vertically. Which is true about their resulting cross-sectional areas?
The cross sectional area from the sphere will be greater (option c).
Let's start with the sphere. When a sphere is cut by a plane along a diameter, the resulting shape is a circle. The diameter of the sphere is 10 inches (twice the radius), so the circle that is created has a diameter of 10 inches. We can use the formula for the area of a circle (A = πr²) to determine its area. Since the radius is 5 inches, the area of the circle is:
A = π(5²) = 25π square inches
Now, let's move on to the cube. When a cube is cut vertically, we are essentially cutting through one of its faces. The resulting shape is a square with a side length of 10 inches (since the length of the cube is 10 inches).
We can use the formula for the area of a square (A = s²) to determine its area. Since the side length is 10 inches, the area of the square is:
A = 10² = 100 square inches
Hence the correct option is (c).
To know more about area here
https://brainly.com/question/14994710
#SPJ4
Complete Question:
A sphere of radius 5 in is cut by a plane along a diameter and a cube of length 10 in is cut vertically. Which is true about their resulting cross-sectional areas?
(a) The cross sectional areas will be equal
(b) The answer cannot be determined
(c) The cross sectional area from the cube will greater
(d) The cross sectional area from the sphere will be greater
Write an equation for the following verbal expression: the difference between twice a number and nine is 17.
The expression is written as 2x - 9 = 17 and x = 13
What are algebraic expressions?Algebraic expressions are simply defined as expressions that are known to consist of terms, variables, constants, coefficients and factors.
These expressions are also seen as expressions containing mathematical or arithmetic operations.
These operations are listed as;
BracketParenthesesSubtractionMultiplicationDivisionAdditionFrom the information given, we have that;
the difference between twice a number and nine is 17.
Let the number be x, we get;
2x - 9 = 17
collect the like terms
2x = 17 + 9
add the values
2x = 26
Divide the values
x = 13
Learn more about algebraic expressions at: https://brainly.com/question/4344214
#SPJ1
The complete question:
Write an equation for the following verbal expression: the difference between twice a number and nine is 17. Find the number
multiplying polynomials, k(k³-2)
Answer: [tex]k^4[/tex] - 2k
Step-by-step explanation:
k(k³-2)
distribute
k multiply by [tex]k^3[/tex] = [tex]k^4[/tex]
k multiply by -2 = -2k
[tex]k^4[/tex] - 2k
If 837 is 13. 5% of an amount. What is the original amount?
The original amount is 6200, which is obtained by dividing 837 by 0.135.
To find the original amount, we can use the formula for finding the percentage of a number
percentage = (part / whole) x 100%
where "part" is the given number (837 in this case), "percentage" is the given percentage (13.5%), and "whole" is the original amount we are trying to find.
Let's plug in the given values and solve for "whole"
13.5% = (837 / whole) x 100%
Divide both sides by 100% to get
0.135 = 837 / whole
Multiply both sides by "whole" to get
0.135 x whole = 837
Divide both sides by 0.135 to get
whole = 837 / 0.135
Simplifying, we get
whole = 6200
Therefore, the original amount is 6200.
Learn more about percentage here
brainly.com/question/12715980
#SPJ4
Find the x-intercept and y-intercept of the line.
6x + 7y = -42
Answer:
y= -6
x= -7
Step-by-step explanation:
6x+7y= -42
7y= -6x-42
y=-6/7x -6
y-intercept is -6
0= -6/7-6
6=-6/7 x
x=-7
To find the x-intercept of the line, we need to set y to zero and solve for x:
6x + 7(0) = -42
6x = -42
x = -7
Therefore, the x-intercept will be (-7, 0).
To find the y-intercept of the line, we need to set x to zero and solve for y:
6(0) + 7y = -42
7y = -42
y = -6
Therefore, the y-intercept is (0, -6).
Hence, the x-intercept is (-7, 0) and the y-intercept will be (0, -6)
External links to know about X-Y Intecept:
https://brainly.com/question/22302304?referrer=searchResults
The sum of a digit and a 2digit number is 7,when the digit is interchanged. The later is 9 greater than the former, find the digit
When we interchange the digits, we get the new number 43, which is 9 greater than 34.
Let's assume that the digit is x and the 2-digit number is y. Therefore, the original number is 10y + x (since y is the tens digit and x is the ones digit).
According to the given information, when the digit and the 2-digit number are added, the result is 7:
x + y = 7
When the digit is interchanged with the tens digit, the new number is 10x + y. According to the second piece of information, this new number is 9 greater than the original number (10y + x):
10x + y = 10y + x + 9
Simplifying the equation, we get:
9x - 9y = 9
Dividing both sides by 9, we get:
x - y = 1
We now have two equations:
x + y = 7
x - y = 1
We can solve this system of equations using substitution or elimination. For simplicity, we'll use elimination. Adding the two equations, we get:
2x = 8
Dividing both sides by 2, we get:
x = 4
Therefore, the digit is 4. We can substitute this value into one of the equations to find the value of y:
4 + y = 7
y = 3
Therefore, the 2-digit number is 37. The original number is 10y + x = 10(3) + 4 = 34. When we interchange the digits, we get the new number 43, which is 9 greater than 34. Hence, the solution is x = 4.
To learn more about digits click on,
https://brainly.com/question/17134811
#SPJ4
plssssssss help state test is coming up !!!!
The pairings of equivalent expresions are:
2(m + 3) + m - 2 = 3m + 45(m + 1) - 1 = 5m + 4m + m + m + 1 + 3 = 3m + 4How to match the equivalent expression?To do it we just need to simplify the 3 expressions.
The first one is:
2(m + 3) + m - 2
2m + 6 + m - 2
3m + 4 this is equivalent to the first one.
5(m + 1) - 1 =
5m + 5 - 1
5m + 4 this is equivalent to the second one.
m + m + m + 1 + 3
= 3m + 4 this is equivalent to the first one.
Learn more about equivalent expressions:
https://brainly.com/question/2972832
#SPJ1
2. Work in nominal dollars to find the future value of this account, and then find the value in today's dollars. Enter the value in today's dollars as your answer.
Suppose you deposit $3,250 per year into a Roth IRA, increasing your deposits by 3% each year. You keep this up for 30 years. Your account earns 10% and the inflation rate is 3%. Find the value in today's dollars of what your account grows to.
Therefore, the value in today's dollars of what the account grows to is approximately $187,675.13.
What is interest?Interest is the cost of borrowing money or the compensation paid by a financial institution to an individual or entity for depositing money. When someone borrows money, they are typically charged interest by the lender in addition to repaying the principal amount of the loan. The interest rate is expressed as a percentage of the principal and is typically calculated on an annual basis, although it can be calculated over shorter or longer periods depending on the terms of the loan or investment. Interest can be simple, where it is calculated only on the principal amount, or compound, where it is calculated on both the principal and any accumulated interest. In addition to loans and investments, interest can also be applied to credit card balances, mortgages, and other financial transactions.
Here,
To find the future value of the account, we can use the formula:
FV = Pmt x (((1 + r)ⁿ⁻¹) / r) + PV x (1 + r)ⁿ
where:
Pmt = annual payment or deposit
= $3,250
r = annual interest rate
= 10%
n = number of years
= 30
PV = present value
= 0 (assuming the account has no initial balance)
Using this formula, we get:
FV = $3,250 x (((1 + 0.10)³⁰ - 1) / 0.10) + 0 x (1 + 0.10)³⁰
= $405,093.35
This is the future value of the account in nominal dollars.
To find the value in today's dollars, we need to adjust for inflation. We can use the formula:
PV = FV / (1 + i)ⁿ
where:
i = inflation rate = 3%
Using this formula, we get:
PV = $405,093.35 / (1 + 0.03)³⁰
= $187,675.13
To know more about interest,
https://brainly.com/question/28792777
#SPJ1
I NEED HELP RIGHT NOW!!!!! IM ON THE QUIZ WITH 20 MINUTES LEFT!!!!!
daniel has 15 yards of fabric to make baby blankets.
The number of blankets Daniel can make with 15 yards of fabric will be; 10.
We are Given that Daniel has 15 yards of fabric to make baby blankets,
It will takes 1 and 1/2 yards of fabric to make each blanket,
To Calculate the total fabric required to make a blanket;
The total fabric required to make a blanket= 1 and 1/2
The total fabric required to make a blanket = 1 + 2 / 2
The total fabric required to make a blanket = 3 / 2 yards
To Calculate the number of the blanket
The number of blankets = The total fabric/fabric required to make a blanket
number of blankets = 15 / 3 / 2
number of blankets = 30 / 3
number of blankets = 10
To know more about the expression:
brainly.com/question/13947055
#SPJ1
The complete question is
Daniel has 15 yards of fabric to make baby blankets. It takes 1 and 1/2 yards of fabric to make each blanket, and the expression that models the situation is 15-3/2y Which of the following are possible numbers of blankets that Daniel could make? Select all that apply.
the populations of the six most populous countries in the world in 2015 are shown in the graph above. if the total population of the six countries shown is 3,489,000,000, what is an appropriate label for the horizontal axis?
An appropriate label for the horizontal axis of the given populations graph of the six most populous countries in the world in 2015 is "Countries".
Based on the given graph, the appropriate label for the horizontal axis would be the names of the six most populous countries. This is because the horizontal axis in a graph typically represents the categories or groups being compared.
In this case, the six countries are being compared based on their population size. Therefore, the horizontal axis should identify each of the six countries separately, allowing the viewer to compare their population sizes. The total population of the six countries is provided as additional information.
To know more about horizontal axis:
https://brainly.com/question/29774083
#SPJ4
--The given question is incomplete, the complete question is given
" the populations of the six most populous countries in the world in 2015 are shown in the graph below. if the total population of the six countries shown is 3,489,000,000, what is an appropriate label for the horizontal axis? "--
