Answer:
314 m³
Step-by-step explanation:
The volume (V) of a cone is calculated using the formula
V = [tex]\frac{1}{3}[/tex]πr²h
where r is the radius and h the perpendicular height
To find h use the right triangle from the vertex to the midpoint of the base and the radius.
Using Pythagoras' identity on the right triangle
where the slant height is the hypotenuse, then
h² + 5² = 13²
h² + 25 = 169 ( subtract 25 from both sides )
h² = 144 ( take the square root of both sides )
h = [tex]\sqrt{144}[/tex] = 12, hence
V = [tex]\frac{1}{3}[/tex]π × 5² × 12
= π × 25 × 4 = 100π ≈ 314 m³
PLEASE HELP. The supply and demand curves reflect the availability and cost of a new gaming system. If the gaming system is currently at Demand and Supply 1, which change to the graph would have to occur to increase equilibrium price while lowering equilibrium quantity?
————————————
A. Add Demand 1 to left of Demand. (incorrect i already tried that)
B. Add Demand 1 to right of demand.
C. Add Supply 2 to left of Supply 1.
D. Add Supply 2 to right of Supply 1.
To increase equilibrium price while lowering equilibrium quantity, the supply curve needs to be shifted to the left.
Explanation:To increase equilibrium price while lowering equilibrium quantity in a supply and demand graph for a new gaming system, we need to shift the supply curve to the left. This can be done by adding a new supply curve, Supply 2, to the left of the original supply curve, Supply 1. Therefore, the correct answer is option C: Add Supply 2 to the left of Supply 1.
Learn more about Supply and demand here:https://brainly.com/question/32830463
#SPJ3
A football coach wants to see how many laps his players can run in 15 minutes. During a non-mandatory meeting, the coach asks for volunteers on his team to do the experiment.
Which sentences explain how randomization is not applied in this situation?
Select EACH correct answer.
Answer:
Step-by-step explanation:
There are three reasons here why randomization is not being applied.
First, the coach is only observing football players attending the meeting. This is not representative of the entire team.
Second, there is no selection process. The coach isn't using a random generator or using a similar method.
Third, the players are volunteering for the test. The results will be biased because of this.
The sentence which is not used in the randomization situation
1. The coach is observing only football players attending the meeting.
3. The football players are volunteering for the test.
What is randomization?The sample is not biased. The members were selected at random from the gym's female population.
The question is biased. It described the weight lifting machines as "easy" and the free weights as "harder".
The meeting is not mandatory and only volunteers are participating in the task he wanted, this shows bias and doesn't correctly represent the whole team.
Therefore, the correct answer is options is 1 and 3.
To learn more about randomization
https://brainly.com/question/2192924
#SPJ2
Which even number is not a composite number
Answer:
2
Step-by-step explanation:
The only factors for this even numbers is itself and one. Other even numbers are composite because they can be divided by 2, but this number is 2 so it can only be divided by two numbers.
It is believed that 43% of the US population can play the piano, 28% can play the guitar, 15% can play the harmonica, 12% can play the drums, and 2% can play other instruments. You want to take a simple random sample of individuals to test this claim. What is the smallest number of people required for the sample to meet the conditions for performing inference?
250
150
100
43
2
43% = 'Piano'
28% = 'Guitar'
15% = 'Harmonica'
12% = 'Drums'
2% = ...Other Instruments
- '2' Does seems as to be the smallest but it could be a trick.
- '43' Is the largest percentage out of the whole group.
- '100' Is what you get when you add all of the percentages together.
- And if you try to evaluate the percentages together in either way it'll end up to be '0.00004334' so that executes '250' and '150' from out of the question.
I'm not sure exactly what the actual answer could be but I'm assuming since it said "What is the smallest number of people required for the sample to meet the conditions for performing inference" Then my assumption is '2'.
250
Step-by-step explanation:Remember there are 2 conditions to perform a goodness of fit chi-test:
Simple random sample: The data must come from a random sample or a randomized experiment.
Expected counts: All expected counts are at least five. You must state the expected counts.
To explain expected counts a bit better, imagine I surveyed 100 people about their ice cream preferences. Before beginning it is believed that 50% like chocolate, 47% like vanilla, and 3% like strawberry.
That means our expected counts are:
100(.50) = 50
100(.47) = 47
100(.03) = 3
This is a problem, because 3 < 5 and so we can not perform a goodness of fit chi-test.
So how do you find the minimum sample size? Use this formula:
sample size (n) * smallest proportion (p) = 5
In the context of ice cream:
n*.03 = 5
n = 5 / .03
n = 167 (because you can't interview 2/3s of a person)
In the context of the problem:
n* .02 = 5
n = 5 / 0.02
n = 250
This means we need to sample at least 250 people to meet our expected count condition.
Enrique needs to buy hamburgers and hot dogs for a picnic. He has only $16.50 to spend and must buy AT LEAST 44 hamburgers or hot dogs. A store charges $.50 per hamburger and $0.25 per hot dog. Which of the following is a possible way Enrique might buy the hamburgers and hot dogs?
29 hamburgers and 15 hot dogs
25 hamburgers and 18 hot dogs
22 hamburgers and 23 hot dogs
20 hamburgers and 25 hot dogs
Answer: D.
Step-by-step explanation:
The answer is 20 hamburgers and 25 hot dogs.
20(.5)+25(.25)<16.5
10+6.25<16.5
16.25<16.5
The budget is $16.50 and $16.25 is $.50 less therefore making it a possible option for Enrique.
With his budget of $16.50, Enrique can afford to buy the fourth option, 20 hamburgers and 25 hot dogs, which totals $16.25.
Explanation:Let's calculate the cost of each option and see which ones Enrique can afford with his $16.50:
29 hamburgers and 15 hot dogs: (29 x $0.50) + (15 x $0.25) = $14.75 + $3.75 = $18.5025 hamburgers and 18 hot dogs: (25 x $0.50) + (18 x $0.25) = $12.50 + $4.50 = $1722 hamburgers and 23 hot dogs: (22 x $0.50) + (23 x $0.25) = $11.0 + $5.75 = $16.7520 hamburgers and 25 hot dogs: (20 x $0.50) + (25 x $0.25) = $10.0 + $6.25 = $16.25Looking at these calculations, we can see that Enrique could only afford to buy the fourth option, 20 hamburgers and 25 hot dogs, with his $16.50 as that totals $16.25, which is within his budget.
Learn more about Budgeting here:https://brainly.com/question/34025115
#SPJ2
What is the value of x in the linear equation below?
4+3x-ax=9-7x+bx
Answer:
x = 5/(10 - a - b)
Step-by-step explanation:
Solve for x:
4 + 3 x - a x = 9 - 7 x + b x
Collect in terms of x:
x (3 - a) + 4 = 9 - 7 x + b x
Collect in terms of x:
x (3 - a) + 4 = x (b - 7) + 9
Subtract (b - 7) x + 4 from both sides:
x (10 - a - b) = 5
Divide both sides by 10 - a - b:
Answer: x = 5/(10 - a - b)
What is the value of the discriminant of the quadratic equation −1 = 5x2 −2x, and what does its value mean about the number of real number solutions the equation has?
The discriminant is equal to −16, which means the equation has no real number solutions.
The discriminant is equal to −16, which means the equation has two real number solutions.
The discriminant is equal to 24, which means the equation has no real number solutions.
The discriminant is equal to 24, which means the equation has two real number solutions.
-The equation is actually
5x^2 -2x+1=0;
-The discriminant is b^2 -4ac=4-4•5•1=4-20=-16
-this means that the equation has no real number solutions
Answer:
The discriminant is equal to −16, which means the equation has no real number solutions.
Step-by-step explanation:
[tex]\text{Given the quadratic equation }-1=5x^2-2x[/tex]
we have to find the number of real number solutions the equation has.
The equation is
[tex]5x^2-2x+1=0[/tex]
[tex]\text{Comparing above equation }ax^2+bx+c=0[/tex]
a=5, b=-2, c=1
To find number of real solutions we have to find the discriminant
[tex]D=b^2-4ac[/tex]
[tex]D=(-2)^2-4(5)(1)[/tex]
[tex]D=4-20=-16[/tex]
The value of discriminant is -16<0
Hence, the equation has no real roots.
Hence, option 1 is correct
A ship sails at 15 miles per hour, while it can motor at 5 miles per hour. It sails for 6 hours to its destination but has to motor on the return trip home. How long does it take for the return trip?
The answer is:
It will take 18 hours for the return trip.
Why?To calculate how long does it take for the return trip, we need to calculate the distance between it destination and the starting point.
We know that the ship sails at 15 miles per hour (mph) for 6 hours, so, calculating the distance we have:
[tex]x=x_o+v*t\\\\x=0+15mph*6hours=90miles[/tex]
We know that the distance between the destination and the starting point is 90 miles, now, to calculate how long does it take the return trip, we need to use the motor speed rate which is equal to 5 miles per hour (mph), so, calculating we have:
[tex]Distance=v*t\\\\t=\frac{Distance}{v}=\frac{90miles}{5mph}=18hours[/tex]
Therefore, we have that it will take 18 hours for the return trip.
Have a nice day!
The ship covers a distance of 90 miles to its destination at 15 mph, sailing for 6 hours. For the return trip motoring at 5 mph, it takes 18 hours.
The question asks how long it takes for a ship to return to its starting point at a slower speed than it originally traveled to its destination. To answer this question, first, we calculate the distance to the destination. Since the ship sails at 15 miles per hour for 6 hours, it covers a distance of 15 miles/hour × 6 hours = 90 miles. We use the same distance for the return trip. However, the ship will now motor back at 5 miles per hour, so the time taken to motor back will be the distance divided by the return speed: 90 miles ÷ 5 miles/hour = 18 hours. Therefore, it takes 18 hours for the return trip home.
A car traveling at 65 mph leaves a 25 foot skid mark. What is the ratio of the speed to length of skid mark? Give your answer in simplest form.
13:5 is the ratio of speed to skid mark
19) n? – 8n – 27 = 6
solve each equation by completing the square
Answer:
n=11 or n=-3
Step-by-step explanation:
Consider the quadratic equation [tex]n^2-8n-27=6.[/tex]
First, remind the formula
[tex](a-b)^2=a^2-2ab+b^2[/tex]
To complete the square, note that
[tex]8n=2\cdot n\cdot 4[/tex]
Hence, we need [tex]+4^2[/tex]
Add 16 to both sides of equation:
[tex]n^2-8n+16-27=6+16\\ \\(n-4)^2-27=22\\ \\(n-4)^2=49\\ \\n-4=7\text{ or }n-4=-7\\ \\n=11\text{ or }n=-3[/tex]
In scalene triangle abc, m∠b=45° and m∠c=55°. what is the order of the sides in length, from longest to shortest?
The order of the sides of the triangle is bc>ab>ac as per the rule that side opposite to the larger angle is larger
According to the rule that the side opposite to the larger angle is larger. The order of the sides of the triangle is bc>ab>ac .
How do find if a triangle with a specific side length exists or not?Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.
Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,
Then, if these three values satisfy the relation:
[tex]a < b +c\\b < a + c\\c < a + b[/tex]
Then they are for sure the side length of a triangle.
In scalene triangle ABC, m∠b=45° and m∠c=55°.
The order of the sides of the triangle is bc>ab>ac according to the rule that the side opposite to the larger angle is larger.
Learn more about the triangle inequality theorem here:
https://brainly.com/question/342881
#SPJ2
please help me with this geometry question
image attached
Answer:c
Step-by-step explanation:
3m. The wall of the building is 3m far from the base of the ladder.
The key to solve this problem is use trigonometric ratios.
The cosine of the angle is the adjacent leg divided by the hypotenuse.
From the image attached we can modeling the problem as a right triangle, where we can see that the adjacent leg is the unknown, hypotenuse is 6m (long of the ladder), and the ladder make an angle of 60° leans againts the building's wall, and x is the long of the adjacent leg. To calculate how far is the base of the ladder from the wall:
Cos 60° = adjacent leg/hypotenuse
adjacent leg = cos 60° x hypotenuse
x = cos 60° (6m) = (0.5)(6m) = 3m
What is the area of triangle BCD to the nearest tenth of a square centimeter? Use special right triangles to help find the height. Show work.
Answer: 55.4
Step-by-step explanation:
The right triangle shown here is a 30-60-90 triangle. This means that its angles measure 30, 60, and 90 degrees. (I got the 30 degrees by subtracting the other two angles from 180 degrees, as the sum of the angle measures in a triangle is 180 degrees.)
The sides in such a triangle have the ratio of x:x[tex]\sqrt{3}[/tex]:2x
The x is across from the 30 degree angle, the x[tex]\sqrt{3}[/tex] is across from the 60 degree angle, and the 2x is across from the 90 degree angle.
The x in this triangle equals to 8 as the eight is across from the 30 degree angle.
This means that the x[tex]\sqrt{3}[/tex] side will equal 8[tex]\sqrt{3}[/tex].
That side is also the height of the triangle. The area of the triangle is then 1/2(8)(8[tex]\sqrt{3}[/tex]), or about 55.4.
Find the values of the variables in the parallelogram. The diagram is not to scale.
Answer:
Step-by-step explanation:
What is this half circles radius and how do you find it?
Answer:
The radius of the semicircle is 4 cm
Step-by-step explanation:
The diameter of the semicircle is 8 cm
The radius is 1/2 of the diameter
1/2 *8 = 4 cm
The radius of the semicircle is 4 cm
[tex]\text{Hey there!}[/tex]
[tex]\text{In order for you to find the radius of the circle (in this equation you would)}[/tex] [tex]\text{have to multiply one half from the number 8}[/tex]
[tex]\frac{1}{2}\times8=?\\ \frac{1}{2}\times\frac{8}{1} \\ \\1\times8=8\\2\times1=2\\\\8\div2=4[/tex]
[tex]\boxed{\boxed{\text{Answer: 04 cm}}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
A truck driver travels at 59 miles per hour. The truck tires have a diameter of 30 inches. What is the angular velocity of the wheels in revolutions per minute (rpm)?
Answer:
[tex]661.4\ rpm[/tex]
Step-by-step explanation:
we know that
1 mile=63,360 inches
step 1
Find the circumference of the wheels
[tex]C=2\pi r[/tex]
we have
[tex]r=30/2=15\ in[/tex] -----> the radius is half the diameter
substitute
[tex]C=2\pi(15)[/tex]
[tex]C=30\pi\ in[/tex]
assume
[tex]\pi =3.14[/tex]
[tex]C=30(3.14)=94.2\ in[/tex]
Remember that
The circumference of the wheels represent one revolution
Convert 59 miles per hour to inches per minute
[tex]59\ mi/h=59*63,360/60=62,304\ in/min[/tex]
using proportion find the number of revolutions
[tex]\frac{1}{94.2}\frac{rev}{in}=\frac{x}{62,304}\frac{rev}{in}\\ \\x=62,304/94.2\\ \\x=661.4\ rev[/tex]
therefore
substitute
[tex]62,304\ in/min=661.4\ rev/min=661.4\ rpm[/tex]
the angular velocity of the truck's wheels is approximately 661.03 rpm
We need to first convert 59 mph into in/h. For this we can use the conversion factor:
[tex]1\ mile = 63360\ in[/tex]
Thus, 59 mph in ft/h will be:
[tex]59 \times 63360 = 3738240\ in/h[/tex]
Now we need to convert this into in/min for which we can use the conversion factor:
[tex]1\ hour = 60\ minute[/tex]
So, on converting we get:
[tex]\frac{3738240}{60} = 62304\ in/min[/tex]
Radius of tire will be half of its diameter. Thus radius = 15 in
Circumference of tire can be calculated by using the formula:
[tex]circumference = 2 \pi r[/tex]
Putting in values we get:
[tex]Circumference = 2 \times \pi \times 15 \approx 94.25\ in[/tex]
To determine the number of rotations per minute we need to divide speed of tire by the circumference of tire as follows:
[tex]rpm = \frac{speed}{circumference}\\\\\\rpm = \frac{62304}{94.25} \approx 661.03\ rpm[/tex]
Therefore, the angular velocity of the truck's wheels is approximately 661.03 rpm
Rectangular prism has a length of 214 feet, a width of 6 feet, and a height of 312 feet. what is the volume of the prism? enter your answer in the box. ft³
The answer is V≈4.01×105
Graph the functions on the same coordinate plane.
f(x)= x^2+2x−8
g(x)= −x^2+4
What are the solutions to the equation f(x)=g(x)?
Select each correct answer.
-3
-2
0
1
2
Answer:
-2
Step-by-step explanation:
hopefully this will help
There are 11 paintings at an art show. Four of them are chosen randomly to display in the gallery window. The order in which they are chosen does not matter. How many ways are there to choose paintings? A. 7920 B. 330 C.44 D. 121
Answer:
B. 330
Step-by-step explanation:
The question indicates the order doesn't matter, so it's a combination and not a permutation.
The combinations are calculated using this formula:
[tex]C(n,r) = \frac{n!}{r! (n-r)!}[/tex]
In this case we have a population of 11 (n = 11) and a selection of 4 (r=4), so...
[tex]C(11,4) = \frac{11!}{4! (11-4)!} = 330[/tex]
So, there are 330 different combinations that can be made of 4 paintings out of a selection of 11.
Answer:
The correct answer is option B. 330
Step-by-step explanation:
It is given that,There are 11 paintings at an art show. Four of them are chosen randomly to display in the gallery window.
To find the possible ways
There are total 11 paintings.
We have to choose 4 of them
Possible number of ways = 11C₄
= (11 * 10 * 9 )/(1 * 2* 3 * 4)
= 330 ways
Therefore the correct answer is option B. 330
You are a landlord, and your tenant complains that you are in violation of the ADA because your wheelchair ramp is too steep. An independent assessor finds that your ramp has an angle of incline of 4.65°. Explain whether or not your tenant’s complaints are justified
Answer:
Not justified
Step-by-step explanation:
ADA requirements are for a slope of 1 in 12 or less, an 8.3% grade, or an angle of 4.8° (actually, 4.764° when rounded to 3 decimal places). The ramp angle found by the assessor is compliant.
The tenant complaint does not seem justified.
The fuction a (n) = 3n-7 represents the value of the nth term in a sequence. What is the sum of the 1st and 5th terms of the sequence
Answer:
1st term: -45th term: 8Step-by-step explanation:
Put the appropriate values of n in the formula and do the arithmetic.
a(1) = 3·1 -7 = -4
a(5) = 3·5 -7 = 8
The 1st and 5th terms are -4 and 8.
_____
The first few terms of the sequence are ...
-4, -1, 2, 5, 8, 11, 14, ...
To find the sum of the 1st and 5th terms of the sequence defined by the function a(n) = 3n - 7, calculate each term using their respective n value and add the results together, resulting in a sum of 4.
Explanation:When you are given the function a(n) = 3n - 7, which represents the value of the nth term in a sequence, the sum of the 1st and 5th terms of the sequence can be calculated by plugging in the values for n into the function for each term and adding the results.
For the 1st term (n = 1):
For the 5th term (n = 5):
The sum of the 1st and 5th terms is then:
-4 + 8 = 4
Learn more about Sum of Sequence Terms here:https://brainly.com/question/34273999
#SPJ3
What is the length of a line segment on the coordinate plane with end point (3,5) and (6,8) to the nearest tenth
Answer:
Step-by-step explanation:
Use the distance formula for coordinate geoemetry and the fact that x1 = 3, y1 = 5, x2 = 6 and y2 = 8 to fill in the formula:
[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
fills in accordingly:
[tex]d=\sqrt{(6-3)^2+(8-5)^2}[/tex]
which simplifies a bit to
[tex]d=\sqrt{(3)^2+(3)^2}[/tex]
which is
[tex]d=\sqrt{18}[/tex]
The square root of 18 simplifies down to [tex]3\sqrt{2}[/tex], which is 4.2426 in decimal form
Answer:
4.24 units
Step-by-step explanation:
We can use the distance formula to solve this.
Distance formula: d = √((x₁ - x₂)² + (y₁ - y₂)²), where (x₁, y₁) and (x₂, y₂) are the two coordinates.
Plug in: d = √((3 - 6)² + (5 - 8)²)
Subtract: d = √((-3)² + (-3)²))
Square: d = √(9 + 9)
Add: d = √18
Square root: d = 4.24264... ≈ 4.24 units
Which choice shows a true conditional with the hypothesis and conclusion correctly identified?
• if today is Wednesday, then tomorrow is Thursday.
Hypothesis: Tomrrow is Thursday. Conclusion: Today is Wednesday
• if today is Wednesday, then tomrrow is Thursday.
Hypothesis: Tomrrow is Thursday Conclusion: today is not Wednesday
• Tomrrow is Friday if today is Wednesday.
Hypothesis: Today is Wednesday Conclusion: Tomorrow is Friday
• tomrrow is Thursday if today is Wednesday.
Hypothesis: today is Wednesday Conclusion: Tomrrow is Thursday
Answer: Choice A
Step-by-step explanation:
I'm bad at explaining things, sorry!
Answer:
Tomorrow is Thursday if today is Wednesday
Hypothesis: Today is Wednesday .
Conclusion: Tomorrow is Thursday.
Step-by-step explanation:
Given
1. If today is Wednesday , then tomorrow is Thursday.
Hypothesis p : Today is Wednesday .
Conclusion q : Tomorrow is Thursday .
Conditional statement: [tex]p\implies q[/tex]
But given
Hypothesis : Tomorrow is Thursday .
Conclusion: Today is Wednesday .
Converse statement; [tex]q\implies P[/tex]
Therefore, the given statement is converse not conditional.
2. If today is Wednesday , then tomorrow is Thursday.
Given
Hypothesis p: Tomorrow is Thursday.
Conclusion q: Today is not Wednesday.
Statement :[tex]q\implies \neg p[/tex]
Hence, it is not a true conditional statement.
3.Tomorrow is Friday if today is Wednesday.
Given
Hypothesis: Today is Wednesday.
Conclusion: Tomorrow is Friday.
It is not a true conditional statement.
4. Tomorrow is Thursday if today is Wednesday.
Given
Hypothesis p: Today is Wednesday.
Conclusion q: Tomorrow is Thursday.
Then the statement : [tex]p\implies q[/tex]
It is a true conditional statement.Because when hypothesis true and conclusion is true then the conditional is true.
Please please help me !!!
Answer:
4.95 in
Step-by-step explanation:
The area is the same, no matter how you find it.
(11 in)h = (9.9 in)(5.5 in) . . . . . area = base·height
h = (9.9·5.5/11) in = 4.95 in . . . . divide by 11 in
PLEASE HELP AND PLEASE SHOW YOUR WORKING
Answer:
S = 13 - x
T = (18 + x) / 2
Step-by-step explanation:
S = 18
T= 18
Sue gives away x, so subtract it from 18. But Tony gets x, so add it to 18 in his expression.
S = 18 - x
T= 18 + x
Sue eats 5 so subtract 5 from her expression. Tony eats half, so divide his expression by 2.
S = 18 - x - 5
T = 18 + x / 2
Simplify 18-5.
S = 13 - x
T = (18 + x) / 2
A researcher interested in Springfield citizens' shopping habits surveys a randomly selected group of 200 Walmart shoppers. 76% of those surveyed indicated that price was more important to them than where an item was produced. The researcher concluded that "about three quarters of the people in Springfield are more concerned with cost than where an item is made."This conclusion might be invalid because:
Answer and Explanation: The results of the survey would not be accurate to the whole of springfield, as the sample was not a random sample. A random sample is where each person in a given area (Springfield in this case) has an equal chance of being surveyed. In this case, only walmart shoppers were surveyed. Therefor, the results can only apply to shoppers at walmart, not the whole of Springfield.
Answer:
Step-by-step explanation:
Given that a researcher interested in Springfield citizens' shopping habits surveys a randomly selected group of 200 Walmart shoppers. 76% of those surveyed indicated that price was more important to them than where an item was produced.
[tex]H_0: p=0.75\\H_a: p <0.75[/tex]
(One tailed test)
Sample proportion p = 0.76
p difference = 0.01
Std error = [tex]\sqrt{\frac{pq}{n} } =\sqrt{\frac{0.75(0.25)}{200} } \\=0.0433[/tex]
Test statistic z = p difference / std error = [tex]\frac{0.01}{0.0433} =0.23[/tex]
p value = 0.409
Since p >0.05 we accept null hypothesis.
There is no statistical evidence to prove that proportion >3/4 or 0.75
Jesse obtained a 20-year, $170,650 loan for his new town-home. The interest rate is 5.5% and his monthly payment is $1,173.88. For the first payment, find the new balance to the nearest cent.
939748.88 dollars is the answer
Answer:
$170,258.27
Step-by-step explanation:
Principal = $170,650
Interest = 5.5%
Term = 20 years
Monthly payment = $1,173.88
The interest on the first month is simply simple interest of 1 month on the principal.
I = prt = $170,650 * 0.055 * 1/12 = $782.15
Subtract the interest from the first months payment to find the amount of principal paid.
$1,173.88 - $782.15 = $391.73
Since the amount of principal paid on the first month is $391.73, the balance after paying the first month's payment is the original principal reduced by the amount of principal paid in the first month.
balance = $170,650 - $391.73 = $170,258.27
Sylvia enlarged a photo to make a 24 x 32 inch poster using the dilation DQ,4. What are the dimensions, in inches, of the original photo? 3 × 8 6 × 8 12 × 16 18 × 24
Answer:
6 × 8
Step-by-step explanation:
Since the dilation factor is 4, and the image was ENLARGED, that means the original photo was smaller. Smaller by a factor of 4.
So, we take the new dimensions (24x32) and we divide each side by the dilation factor of 4:
(24/4) x (32/4) = 6 x 8
It couldn't be the first answer choice (3x8) because that doesn't maintain the ratio of the enlarge picture. The other possible answers do match the right ratio... but only 6x8 is scaled by a factor of 4.
Answer:
6 x 8
Step-by-step explanation:
When you look at DQ,4 and you break it apart a little bit, you will realize that the dilation is 4 and in this case it will increase by 4.
(Don't mind the Q it is just there to tell you where the center point is)
So if you look at the options:
3 x 8 ---- that will not work because 3x4= 12 which is not 32 and not 24 so we should kick that one out.
6 x 8 ---- This is good because 6x4=24 and 8x4=32!
We don't have to go any further (you can if you want though)!
Again, 6 x 8 is your answer.
Please Help! 50 points to brainiest! Triangle ABC is given where m∠A=33°,a = 15 in., and the height, h, is 9 in. How many distinct triangles can be made with the given measurements? Explain your answer.
Answer:
Answer: You could have an infinite amount of triangles with these measurements.
Unless, you are missing something in the problem, there is not enough information that would narrow it down to a single triangle. Angle A is fixed and the height is fixed. However, Angle B and C could be anything as long as they formed a triangle and had side a of 15 in between them.
Answer:
j
Step-by-step explanation:
i know this isnt anything that has to do with this question but i was wondering if you had the answers to the precal "lets dance! portfolio" i couldnt contact you through messaging so this is the only way lol i hope you see this
rewrite the equation in Ax + By = C.
use integers for A, B, and C.
y= - 1/2 x - 4
Answer:
1/2x+y=-4
Step-by-step explanation:
Answer:
x + 3y = - 8
Step-by-step explanation:
Given
y = - [tex]\frac{1}{2}[/tex] x - 4
Multiply all terms by 2
2y = - x - 8 ( add y to both sides )
x + 2y = - 8 ← in standard form