Answer:
Step-by-step explanation:
Kurt is financing a $315,000 mortgage for 30 years at a fixed rate of 7.35%. What is the total cost of the principal and interest after 30 years?
Given data
P= $315,000
t= 30years
r= 7.35%
Let us apply the simple interest formula
A= P(1+rt)
substitute
i need help in ap calc ab pls hurryyyyy
Answer:
a. (-pi/2, pi/2)
b. (-pi, pi/2) U (pi/2, pi)
c. -pi/2
d. pi/2
Step-by-step explanation:
g'(x)=cos(t) (-pi,pi) Fundamental Theorem of Calculus
It increases while g'(x) is positive, so (-pi/2, pi/2)
It decreases while g'(x) is negative so (-pi, pi/2) U (pi/2, pi)
The local minimum occurs when g'(x) switches from negative to positive
The local maximum occurs when g'(x) switches from positive to negative
Can someone help me find the answer
X-3/18=12/9 solve for x
Answer:
X= 3/2
Step-by-step explanation:
hope this helps
In the graphic above, ΔRED ≅ ΔTAN by: aHL. bSSA. cSAS. dThe triangles are not congruent.
Answer:
a. HL
Step-by-step explanation:
ΔRED ≅ ΔTAN by HL Postulate of congruen.
The triangles are congruent by SAS postulates. Then the correct option is C.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
If the two triangles are similar, the ratio of the corresponding sides will be constant.
From the figure, we have
DR = NT (given)
RE = TA (given)
∠E = ∠A = 90°
Then the triangles are congruent by SAS postulates.
Then the correct option is C.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ2
A circle has a diameter of 4 inches. Which statement about the area and circumference of the circle is true?
A comparison of the area and circumference of the circle is not possible because there is not enough information to find both.
The numerical values of the circumference and area are equal.
The numerical value of the circumference is greater than the numerical value of the area.
The numerical value of the circumference is less than the numerical value of the area.
Answer:
Option B is correct
The numerical values of the circumference and area are equal.
Step-by-step explanation:
Circumference(C) and Area (A)of the circle is given by:
....[1]
......[2]
where, r is the radius of the circle.
As per the statement:
A circle has a diameter of 4 inches.
We know:
Diameter = 2 (radius(r))
then;
4 = 2r
Divide both sides by 2 we have;
r = 2 inches
Substitute these in [1] and [2] we have;
Therefore, the numerical values of the circumference and area are equal i.e 12.56
In 2014, Congress cut $8.7 billion from the Supplemental Nutrition Assistance Program (SNAP), more commonly referred to as food stamps. The rationale for the decrease is that providing assistance to people will result in the next generation of citizens being more dependent on the government for support. Hoynes (2012) describes a study to evaluate this claim. The study examines 60,782 families over the time period of 1968 to 2009 which is subsequent to the introduction of the Food Stamp Program in 1961. This study examines the impact of a positive and policy-driven change in economic resources available in utero and during childhood on the economic health of individuals in adulthood. The study assembled data linking family background in early childhood to adult health and economic outcomes. The study concluded that the Food Stamp Program has effects decades after initial exposure. Specifically, access to food stamps in childhood leads to a significant reduction in the incidence of metabolic syndrome (obesity, high blood pressure, and diabetes) and, for women, an increase in economic self-sufficiency. Overall, the results suggest substantial internal and external benefits of SNAP. a. Identify the population that is of interest to the researchers. b. Describe the sample. c. What characteristics of the population are of interest to the researchers
Main AnswerIn the study by Hoynes (2012), the population that is of interest to the researchers are families who receive Supplemental Nutrition Assistance Program (SNAP) or more commonly known as food stamps. The study examines the impact of the policy-driven change in economic resources available in utero and during childhood on the economic health of individuals in adulthood.
The sample that the study examines are 60,782 families over the time period of 1968 to 2009, which is subsequent to the introduction of the Food Stamp Program in 1961. The data links family background in early childhood to adult health and economic outcomes.The characteristics of the population that are of interest to the researchers are the impact of a positive and policy-driven change in economic resources available in utero and during childhood on the economic health of individuals in adulthood. Specifically, the researchers looked at the long-term effect of access to food stamps in childhood on the incidence of metabolic syndrome (obesity, high blood pressure, and diabetes) and an increase in economic self-sufficiency for women.
Based on the study, the researchers concluded that access to food stamps in childhood leads to a significant reduction in the incidence of metabolic syndrome and, for women, an increase in economic self-sufficiency. Hence, the results suggest substantial internal and external benefits of SNAP.
To know more about metabolic syndrome visit:
brainly.com/question/26801801
#SPJ11
Ifx=−5andy=2, evaluate the following expressions:i)(4y)2−(2x)2ii)4y2−2x2i)(4y)2−(2x)2=ii)4y2−2x2=
Answer:
Step-by-step explanation:
-80
nikhil has RS 80000 from this,he gives 30% to his wife and 20% to his father. Find the amount received by wife and father
Answer:
Amount received by wife = RS 24000
Amount received by father = RS 16000
Step-by-step explanation:
His income is RS 80000
He gave 30% of his income to his wife
That's
\( \frac{30}{100} \times RS \: \: 80000\)
Which is RS 24000
He gave 20% of his income to his father
That's
\( \frac{20}{100} \times RS \: \: 80000\)
Which is RS 16000
Hope this helps you
Andre and Diego were each trying to solve 2+6=3−8. Describe the first step they each make to the equation.The result of Diego’s first step was 6=−8.
Step-by-step explanation:
2+6=3-8
2+6=8
3-8=-5
8=-5
One-sixth of the 24 students at Aaliyah's school voted for Aaliyah for president. How many students voted for Aaliyah?
find the value of a and b if \(5+√3/7+2√3=a-b√3\)
Answer:
The values of \(a\) and \(b\) are \(5\) and \(-\frac{15}{7}\), respectively.
Step-by-step explanation:
There are mistakes in the statement, correct form is presented below:
\(5+\frac{\sqrt{3}}{7} + 2\sqrt{3} = a - b\cdot \sqrt{3}\).
By direct comparison we have the following system of equations:
\(a = 5\) (1)
\(\frac{\sqrt{3}}{7}+2\sqrt{3} = -b\cdot \sqrt{3}\) (2)
In (2) we solve for \(b\):
\(\left(\frac{1}{7}+2 \right)\cdot \sqrt{3} = -b\cdot \sqrt{3}\)
\(b = -\frac{15}{7}\)
The values of \(a\) and \(b\) are \(5\) and \(-\frac{15}{7}\), respectively.
A Ferris wheel at the local fair has a diameter of 36 feet and a midline of 15 feet. This Ferris wheel makes one revolution every 60 seconds. If Amanda and Steve are riding on this Ferris wheel, which equation could be used to model d, the distance Amanda and Steve are from the ground as they ride the Ferris wheel as a function of time, t?
Answer:
Hold on let me seee!!!!!!!
in a test of the hypotheses, , the calculated p-value is 0.03. what is the decision at the 2% level of significance?
The term "content loaded in a test of the hypotheses" refers to the data and information used to perform the hypothesis test, which in this case resulted in a calculated p-value of 0.03.
Based on the information provided, the calculated p-value of 0.03 is less than the level of significance of 2%. This means that the null hypothesis can be rejected and the alternative hypothesis can be accepted.
Therefore, the decision is to reject the null hypothesis and conclude that there is sufficient evidence to support the alternative hypothesis.
The term "content loaded in a test of the hypotheses" refers to the data and information used to perform the hypothesis test, which in this case resulted in a calculated p-value of 0.03.
To know more about hypotheses refer here
https://brainly.com/question/18064632#
#SPJ11
A limited-edition poster increases in value each year with an initial value of $18. After 1 year and an increase of 15% per year, the poster is worth $20.70. (Round money values to the nearest penny.)
The equation that can be used to find the value, y, of the limited-edition poster after x years is: a. \(y = 18(1.15)^x\).
How to Find the Equation that Models a Situation?We know that the initial value of the poster is $18. After 1 year, with an increase of 15% per year, the value becomes $20.70.
To find the equation for the value, y, after x years, we can use the formula for compound interest:
\(y = P(1 + r)^x\)
Where:
P is the initial value ($18)
r is the growth rate (15% or 0.15)
x is the number of years
Plugging in the values, we have:
\(y = 18(1 + 0.15)^x\)
Simplifying:
\(y = 18(1.15)^x\)
The given equation helps determine the worth, represented by y, of the limited-edition poster after a certain number of years, denoted as \(y = 18(1.15)^x\).
Learn more about equation on:
https://brainly.com/question/11615953
#SPJ1
Complete Question:
A limited-edition poster increases in value each year with an initial value of $18. After 1 year and an increase of 15% per year, the poster is worth $20.70. Which equation can be used to find the value, y, after x years? (Round money values to the nearest penny.)
a. y = 18(1.15)^x
b. y = 18(0.15)^x
c. y = 20.7(1.15)^x
d. y = 20.7(0.15)^x
in general, ______________ are more problematic than ________________ because they can produce spurious relationships.
In general, observational studies are more problematic than randomized controlled trials because they can produce spurious relationships.
Observational studies rely on the natural variation in exposures and outcomes that occur in the population, without any intervention or manipulation by the researcher.
This can lead to confounding variables, which are factors that are associated with both the exposure and the outcome and can produce a false association between them.
Randomized controlled trials, on the other hand, assign participants to different exposure groups at random, which reduces the risk of confounding and allows for a more accurate assessment of causality.
Therefore, researchers must be cautious when interpreting observational studies and consider the potential for spurious relationships.
Learn more about observation at https://brainly.com/question/15700789
#SPJ11
which number is in the solution set of the equality x < -8?
A: -2 B: -4 C: -6 D: -10
Answer:
The answer is b
Step-by-step explanation:
Brainliest pls
(PLS HELP)The diameter of a cylindrical water tank is 12 ft, and its height is 17 ft. What is the volume of the tank?
Use the value 3.14 for л, and round your answer to the nearest whole number. Be sure to include the correct unit in your answer.
Answer: The volume is equal to 1922.65.
Step-by-step explanation:
Diameter is 12 ft, height is 17 ft.
V = πr2h
V = πr2h = π·62·17≈ 1922.65
The volume of the tank is approximately 1814 cubic feet.
What is a cylinder?A cylinder is a 3-D figure that has a radius and a height.
The volume of a cylinder is given as πr²h.
Example:
The volume of a cup with a height of 5 cm and a radius of 2 cm is
Volume.
= 3.14 x 2 x 2 x 5
= 62.8 cm³
We have,
The formula for the volume of a cylinder is:
V = πr²h
where V is the volume, r is the radius, h is the height, and π is a constant equal to approximately 3.14.
We are given the diameter of the tank, which is 12 feet.
The radius is half the diameter, so:
r = 12/2 = 6 feet
We are also given the height of the tank, which is 17 feet.
Substituting these values into the formula, we get:
V = πr²h
V = 3.14 × 6² × 17
V ≈ 1814
Therefore,
The volume of the tank is approximately 1814 cubic feet.
Learn more about cylinder here:
https://brainly.com/question/15891031
#SPJ2
Which equation is correct?
which equation is correct? a. tanx=1/secx b.sinx=1/cosx c.cscx=1/sinx d.cosx=1/cotx
Answer:
Step-by-step explanation:
csc and sin are inverses of one another, therefore, c is the correct statement.
write an equation of the line that passes through the given points (3,1) (0,10)
Answer:
y = -3x + 10
Step-by-step explanation:
10-1/0-3 = -3
y = -3x + b
1 = -3(3) + b
1 = -9 + b
10 = b
check your answer:
10 = -3(0) + 10
10 = 10
b should be 10
Maria owns four par value $1,000 bonds from Prince Waste Collection. The bonds pay yearly interest of 7. 7%, and had a market value of 97. 917 when she bought them. Maria also owns 126 shares of stock in Prince Waste Collection, each of which cost $19. 33 and pays a yearly dividend of 85 cents. Which aspect of Maria’s investment in Prince Waste Collection offers a greater percent yield, and how much greater is it? a. The bonds have a yield 3. 466 percentage points greater than that of the stocks. B. The bonds have a yield 7. 863 percentage points greater than that of the stocks. C. The stocks have a yield 6. 75 percentage points greater than that of the bonds. D. The stocks have a yield 9. 01 percentage points greater than that of the bonds.
The correct answer is option A. The bonds have a yield 3.466 percentage points greater than that of the stocks.
To determine which aspect of Maria's investment in Prince Waste Collection offers a greater percent yield, we need to compare the yields of the bonds and the stocks.
First, let's calculate the yield for the bonds:
Market value of each bond = $1,000 (par value) × 97.917% = $979.17
Yearly interest received from each bond = $1,000 (par value) × 7.7% = $77
Yield for the bonds = (Yearly interest received / Market value of each bond) × 100
Yield for the bonds = ($77 / $979.17) × 100 ≈ 7.87%
Next, let's calculate the yield for the stocks:
Cost of each stock = $19.33
Yearly dividend received from each stock = $0.85
Yield for the stocks = (Yearly dividend received / Cost of each stock) × 100
Yield for the stocks = ($0.85 / $19.33) × 100 ≈ 4.40%
Now, we can compare the yields:
Yield for the bonds = 7.87%
Yield for the stocks = 4.40%
To find the difference in percentage points, we subtract the yield for the stocks from the yield for the bonds:
7.87% - 4.40% ≈ 3.47%
Therefore, the correct answer is option A. The bonds have a yield 3.466 percentage points greater than that of the stocks.
Learn more about percentage here
https://brainly.com/question/29763752
#SPJ11
(6x10)+(8x1)+(5x.1)+(0x.01)+(1x.001)+(9x.0001)
Answer:
(6x10)+(8x1)+(5x.1)+(0x.01)+(1x.001)+(9x.0001)
=68.5019
Question 2 (10 points)
(01.03 MC)
A plane can fly 11 miles per minute. The plane will fly 6 trips, and each trip is 500 miles. How many hours will the plane fly?
Answer:
4hrs 33mins
Step-by-step explanation:Speed = 11m/min
Total distance=500miles*6=3000miles
Total time= 3000miles/11m/min=273minutes = 4hrs 33mins
A team of 5 runners competed in a relay race. Each runner had to run 730 yards. How long was the race? (ANSWER IF YOU KNOW AND HOW YOU GOT THE ANSWER)
Answer:
3650 yds
Step-by-step explanation:
Take the length that each person ran and multiply by the number of runners
5 * 730yds
3650 yds
Answer:
length that was ran along = length the first racer runs
= 1×730
= 730 yards
Question 1 of 21
Which of the following steps would you perform to the system of equations
below so that the equations have equal x-coefficients?
4x+2y = 4
12x+y = 22
O A. Divide both sides of the top equation by 3
B. Multiply both sides of the top equation by 3
C. Multiply both sides of the bottom equation by 3
OD. Divide both sides of the bottom equation by 2
A number (n) minus 6 is greater than or equal to 11.
Answer:
the number can be 17 or higher.
Step-by-step explanation:
17-6=11
The sample size n, probability of success p, and probability of failure q are given for a binomial experiment. Decide whether you can use the normal distribution to approximate the random variable x. n= 16 p-0.71 q=0.29 Can the normal distribution be used to approximate the random variable x? A. Yes, because np 25 and ng 2 5. OB. No, because np <5. OC. No, because np < 5 and ng <5. O D. No, because ng <5.
We cannot use the normal distribution to approximate the random variable x in this case because the second condition (nq ≥ 5) is not satisfied since 4.64 is less than 5. The correct option is (OC) No, because np < 5 and ng <5.
To determine whether the normal distribution can be used to approximate the random variable x in a binomial experiment, we need to check if the conditions for using the normal approximation are met.
The conditions are typically based on the sample size (n) and the probabilities of success (p) and failure (q).
In this case, the given values are:
n = 16
p = 0.71
q = 0.29
To use the normal approximation, the following conditions should be satisfied:
1. np ≥ 5
2. nq ≥ 5
Let's check if these conditions are met:
1. np = 16 * 0.71 = 11.36
2. nq = 16 * 0.29 = 4.64
Based on the calculated values, we can see that the second condition (nq ≥ 5) is not satisfied since 4.64 is less than 5.
Therefore, we cannot use the normal distribution to approximate the random variable x in this case.
To know more about normal distribution refer here:
https://brainly.com/question/29509087#
#SPJ11
Grace spends 38 minutes on her chores. She sweeps the floor and puts the How much time did she spend on each chore? Show three different ways. Drag the numbers into the chart. Numbers may be once, or not at all Time Sweeping Floor 15 minutes minutes 21 minutes Spent on Chores Putting Dishes Away minutes 14 minutes minutes
Here are three different ways Grace could have distributed her time on chores:
Sweeping Floor: 15 minutes, Putting Dishes Away: 23 minutes.
Sweeping Floor: 17 minutes, Putting Dishes Away: 21 minutes.
Sweeping Floor: 19 minutes, Putting Dishes Away: 19 minutes.
Here are three different ways to distribute the time Grace spent on her chores:
Time Sweeping Floor: 15 minutes
Time Putting Dishes Away: 23 minutes
Time Sweeping Floor: 19 minutes
Time Putting Dishes Away: 19 minutes
Time Sweeping Floor: 21 minutes
Time Putting Dishes Away: 17 minutes
The total time spent on chores in all three scenarios adds up to 38 minutes, as given in the problem.
for such more question on time
https://brainly.com/question/20813161
#SPJ8
Guillermo compares the heights of two plants to see which plant grows more per day. The table
shows the height of Plant 1, in centimeters, over 5 days. The graph shows the height of Plant 2, in
centimeters, over 10 days. Guillermo says that since Plant 1 grows 8 cm per day and Plant 2 grows
10 cm per day, Plant 2 grows more per day. Answer parts a and b.
A. It should be noted that although Plant 2 clearly grew 2 cm per day as per the graph, Plant 1 still outgrew Plant 2 by 4 cm.
B. Guillermo claims that Plant 2 grows 4 cm per day is false, as shown by the graph, which contradicts Winston's claim, and Plant 2 actually grows 2 cm per day.
How to explain the graphThe relationship between lines and points is described by a graph, which is a mathematical representation of a network. A graph is made up of some points and connecting lines.
In the graph, we can clearly see that Plant 2 grew 2 cm per day, but still, Plant 1 grows more than plant 2 by 4 cm.
From the above part, we know that the error is statement that Plant 2 grows 2 cm per day, but according to the graph Plant, 2 grows by 2 cm per day.
Learn more about graph on:
https://brainly.com/question/28895909
#SPJ1
Help me please and thank you
Answer:
y > x^2 - 6
y > x^2 + 2
Step-by-step explanation:
Solve the system by substitution.
The solution of the system of linear equations is (x, y, z) = (4, 6, - 1).
How to solve a system of linear equation by substitution
In this question we are asked to find the solution to the system of linear equations by substitution method, which consist in taking advantage of explicit form of linear equations to reduce the number of variables to one and then determine the value of the remaining variables by evaluating the rest of the expressions in explicit form. We find the following expressions:
- x - y - z = - 8 (1)
- 4 · x + 4 · y + 5 · z = 7 (2)
2 · x + 2 · z = 4 (3)
First, clear x in (1):
x = 8 - y - z
Second, substitute x in (2, 3):
- 4 · (8 - y - z) + 4 · y + 5 · z = 7
- 32 + 4 · y + 4 · z + 4 · y + 5 · z = 7
- 32 + 8 · y + 9 · z = 7
8 · y + 9 · z = 39 (2b)
2 · (8 - y - z) + 2 · z = 4
16 - 2 · y - 2 · z + 2 · z = 4
16 - 2 · y = 4
2 · y = 12
y = 6 (3b)
Third, substitute in (2b):
8 · 6 + 9 · z = 39
48 + 9 · z = 39
9 · z = - 9
z = - 1
Fourth, substitute in (1):
x = 9 - 6 - (- 1)
x = 9 - 6 + 1
x = 4
The solution of the system of linear equations is (x, y, z) = (4, 6, - 1).
To learn more on systems of linear equations: https://brainly.com/question/27664510
#SPJ1