Question
You wish to take out a $375,000 mortgage, which is to be paid monthly. The yearly interest rate on the loan is 3% and the
loan is for 25 years. Calculate the total interest paid over the life of the loan.
Round your answer to the nearest dollar.
Do NOT round until you have calculated the final answer.
Provide your answer below:
Answer:$158,488
Step-by-step explanation:
We have P0=$375,000,r=0.03,k=12,N=25, so substituting in the numbers into the formula gives
$375,000=d(1−(1+0.0312)−25⋅12)(0.0312),
that is,
$375,000=210.87645d⟹d=$1,778.2924.
To calculate the total interest, we have
$1,778.2924×25×12−$375,000=$158,488.
Answer: $1778.29
$375000 = 210.878645d > d = $1778.29
A local little league has a total of 70 players, of whom 40% are right-handed. How many
right-handed players are there? HELP
The number of right-handed players in the local little league given its percentage is 28
How many right-handed players are there?Based on the given task content; the number of right-handed players there can be determined by solving the percentage of right-handed players.
Total number of players in the local little league = 70Percentage of right-handed players = 40%Number of right-handed players = Percentage of right-handed players × Total number of players in the local little league
= 40% × 70
= 40/100 × 70
= 0.4 × 70
= 28
In conclusion, the total number of right-handed players is 28
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Tessellations
Rotate the parallelogram 180° clockwise about point Q.
Please select the best answer from the choices provided
Answer:
D.
Step-by-step explanation:
I calculated it logically
A rectangle has a width of 9 km and a length of 6 km. How does the area change when each dimension is multiplied by 3? The area is increased by a factor of 3. The area is increased by a factor of 6. The area is increased by a factor of 9. The area is increased by a factor of 18.
Answer:
The answer is increased by 9
Step-by-step explanation:
FCPS Bookmarks
Launch realize. 8-2: Find Volume of Cylinders (LMS graded)
8.2.PS-13
The cylinder shown has a volume of 824 cubic inches.
a. What is the radius of the cylinder? Use 3.14 for .
b. If the height of the cylinder is changed, but the volume
stays the same, then how will the radius change? Explain.
a. The radius of the cylinder is about 8.2 in³.
(Type an integer or decimal rounded to the nearest tenth as needed.)
10.7 in.
Question Help
◇
To find the radius of the cylinder, we can use the formula for the volume of a cylinder:
V = πr²h
Given that the volume is 824 cubic inches, we can rearrange the formula to solve for the radius:
824 = πr²h
Since the height is not given, we cannot find the exact radius. However, we can still determine the relationship between the height and radius if the volume remains the same.
b. If the height of the cylinder is changed, but the volume stays the same, the radius will change inversely proportional to the height. This means that as the height increases, the radius will decrease, and vice versa. This relationship ensures that the volume remains constant.
Therefore, we cannot determine the exact radius without knowing the height, but we can conclude that the radius and height have an inverse relationship.
what is 230,981,762 and 167,983,657 gratest common factores
Answer: I'm sure it is just 1
What is the circumference of a circle with a diameter of 21 cm? (show working)
The circumference of the circle is 65. 94 cm
What is circumference?The formula for calculating the circumference of a circle is expressed with the equation;
C = 2πr
Given that the parameters are;
C is the circumference of the circle.π takes the value of 3.14r is the radius of the circleNote that the radius of a circle is twice the diameter of that circle.
Then, we have;
Radius = diameter/2
Substitute the values
Radius = 21/2 = 10. 5 cm
Then, the circumference
C = 2 ×3.14 × 10. 5
Multiply the values
C = 65. 94 cm
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amber has a 4/5 pound bag of colored sand she use 1/2 of the bag for an art project how much sand does she use for the project
The left over sand is a 3/10 bag of the colored sand.
According to the statement
We have to find that the how much sand does she use for the project.
So, For this purpose, we know that the
Left over is a something that remains unused or unconsumed
From the given information:
amber has a 4/5 pound bag of colored sand she use 1/2 of the bag for an art project
then it means
Total sand is = 4/5 pound bag of colored sand
Used sand is = 1/2 of the bag of colored sand
Then
Left over sand is = Total sand - Used sand
Left over sand is = 4/5 - 1/2
Left over sand is = 8 - 5/10
Left over sand is = 3/10.
So, The left over sand is a 3/10 bag of the colored sand.
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Find the 8th term of the arithmetic sequence.
a1 = 20, d = 5
Answer:
The answer is 55
Step-by-step explanation:
Given;First term (a₁) = 20Common Difference (d) = 5n = 8To Find;Eighth term (a₈) = ?Formula;aₙ = a₁ + (n – 1) × dNow,
aₙ = a₁ + (n – 1) × d
a₈ = 20 + (8 – 1) × 5
a₈ = 20 + 7 × 5
a₈ = 20 + 35
a₈ = 55
Thus, The 8th term of the arithmetic sequence is 55
-TheUnknownScientist 72
Answer:
the answer is 55
make e the subject
e-5=2f
Answer:
e-5=2f
take '-5' to the other side where '2f' is
e=2f+5
Write the following Arithmetic Sequence using an Explicit Formula: a1 = 8, an = an-1 – 2
an = 8 + 2(n – 1)
an = 2 – 8(n – 1)
an = 2 + 8(n – 1)
an = 8 – 2(n – 1)
an = a + (n - 1)d
= 8 + 2(n - 1)
HOPE IT HELPS ..
Casey picked 6 pounds of strawberries. Karen picked 48 ounces of blueberries. Jude picked 2 pounds of raspberries. They are going to make berry pies. The table shows the amount of berries needed for 1 pie.
Berry Pie Recipe
Type of Berry Amount
Blueberries 8 oz
Raspberries 8 oz
Strawberries 12 oz
Select all of the true statements below.
A.
Together, Karen and Jude picked the same weight of fruit as Casey picked.
B.
Casey picked 2 times the weight of fruit that Karen picked.
C.
There are enough berries to make 6 berry pies.
D.
If they make as many pies as they can with the berries they picked, there will be 4 pounds of strawberries left over.
E.
To make 8 berry pies, they will need 1 more pound of blueberries and 2 more pounds of raspberries.
Answer:
E
Step-by-step explanation:
6 x (4 + 2 x 4) + 10
Hurry need help
Candice owns 88 acres of farmland. She grows beets on 3/4 of the land. On how many acres of land does Candice grow beets?.
Candice grows beets on 66 acres of farmland.
What is a Ratio?A ratio indicates the number of times one number contains another.
Given that, Candice has 88 acres of farmland and she grows beets on 3/4 of the land.
Candice grows beets on 3/4 of 88 acres of farmland,
3/4 of 88
= 3/4×88
= 66
Hence, Candice grows beets on 66 acres of farmland.
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Eight upright dominos of increasing height are lined up to be knocked down. The dominos are numbered 0 to 7. The smallest domino, #0, is 4.00 cm tall and will be toppled by a person to start the chain reaction. Each subsequent domino is 12% taller than the one before. What is the height of domino #7?
The height of domino #7 is approximately 6.89 cm tall.
How to solve for the heightThe formula for the nth term of a geometric progression is:
\(a_n = a * r^(^n^-^1^)\)
where:
a is the first term (the height of the smallest domino, 4.00 cm),
r is the common ratio (the growth rate, 1.12), and
n is the term number (for domino #7, n = 7 + 1 = 8, because the sequence starts with domino #0).
Let's plug these values into the formula:
\(a_8 = 4.00 cm * (1.12)^7\)
(Note that we're using 7, not 8, because the first domino is #0, not #1.)
Now, compute the value:
\(a_8 = 4.00 cm * (1.12)^7\)
= 6.89 cm
So, domino #7 is approximately 6.89 cm tall.
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What is the equation of the horizontal asymptote for the graph below?
Answer:
y = 0.
Step-by-step explanation:
As x approaches negative or positive infinity y approaches 0 :- that is it approaches the x axis which is y = 0..
I need the work and the right answer and explain what the mistake he made was
The mistake was the inequalities sign that was changed .The inequality sign is not suppose to be greater than or equal to but it should be less than or equal to.
If I= v-1, what is the value of i^3?
Answer:
i³=(v-1)³
Step-by-step explanation:
I'm assuming "I" is "i" but capitalised
i=v-1
i³=(v-1)³
Two trucks, A and B, start from the intersection C of two straight roads at the same time. Truck A is traveling twice as fast as truck B, and after 4 hours, the two trucks are 350 miles apart. Find the approximate speed of truck B in miles per hour.
A. 39 B. 51 C. 44 D. 78
Answer:
6
Step-by-step explanation:
1) Which statement contains an exact number? A) A gross of paper contains 144 sheets. B) One sheet of paper is 0.0042 inches thick. C) One sheet of paper measures 8.5 x 11 inches. D) A ream of medium weight paper weighs 20 pounds. Answer: A
Answer:
B) One sheet of paper is 0.0042 inches thick
Step-by-step explanation:
All the other values are not give from just a sheet of paper, and/or they are either a cumulative value, or values that will be used to calculate another value
Only option B defines a value for a unit of paper, and the value is definite.
Option A indicates the number in a group (gross)
Option C shows two values that can be used to calculate one value; the area.
Option D indicates an accumulated value of weight.
does 1\2 = 2\3 or would it 1\2 ≤ 2\3
Answer:
1/2 < 2/3
Step-by-step explanation:
1/2 = .5 in decimal form while 2/3 is .6 repeating in decimal form
1/2 < 2/3
*Watch image for better understanding
Blue portion is 1/2
Red portion is 2/3
so, obviously red portion is bigger than blue one.
{x|x is an odd integer between –2 and 4}
Answer:
{-1, 1, 3}
Step-by-step explanation:
They are odd and they are integers.
Given the polynomial 9x2y6 − 25x4y8, rewrite as a product of polynomials.
(9xy3 − 25x2y4)(xy3 + x2y4)
(9xy3 − 25x2y4)(xy3 − x2y4)
(3xy3 − 5x2y4)(3xy3 + 5x2y4)
(3xy3 − 5x2y4)(3xy3 − 5x2y4)
Answer:
Option 3
(3xy³ + 5x²y⁴) (3xy³ - 5x²y⁴)
Step-by-step explanation:
Factorize polynomials:
Use exponent law:
\(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)
9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²
25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²
Now use the identity: a² - b² = (a +b) (a -b)
Here, a = 3xy³ & b = 5x²y⁴
9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²
= (3xy³)² - (5x²y⁴)²
= (3xy³ + 5x²y⁴) (3xy³ - 5x²y⁴)
4+ (-3) - 2*(-6)
What is the answer to
Answer:
13
Step-by-step explanation:
4+(-3)-2*(-6)
4-3-2*-6
1-(-12)
1+12
13
Answer: 13
Step-by-step explanation:
I Had The Same Problem So Try And Its Gonna Be Right.
both clocks ring toget (b) Two bells hanged at a school were adjusted at 10:00 am in such a way th one of them rings at the interval of every 45 minutes and another at every minutes. At what time will both bells ring together ?
The Least common multiple (LCM) The time at which both bells will ring together is 10:45 am, and the Subsequent times will be 11:30 am, 12:15 pm, 1:00 pm, and so on, with an interval of 45 minutes between each occurrence.
The time at which both bells will ring together, we need to find the least common multiple (LCM) of the intervals at which each bell rings.
The first bell rings every 45 minutes, and the second bell rings every minute. We want to find the point at which both intervals align, meaning they both divide evenly into the same amount of time.
To find the LCM, we can list the multiples of each interval until we find a common multiple.
Multiples of 45 minutes: 45, 90, 135, 180, 225, 270, 315, 360, 405, ...
Multiples of 1 minute: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, ...
From the lists above, we can observe that the least common multiple occurs when both intervals coincide at the same time, which is 45 minutes.
Thus, the two bells will ring together every 45 minutes.
If we consider the initial adjustment time of 10:00 am, the first time both bells will ring together is at 10:45 am. After that, they will continue to ring together every 45 minutes throughout the day.
Therefore, the time at which both bells will ring together is 10:45 am, and the subsequent times will be 11:30 am, 12:15 pm, 1:00 pm, and so on, with an interval of 45 minutes between each occurrence.
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5a+7-2a I need help finding this
Answer:
3a+7a
Step-by-step explanation:
Subtract
2a from 5a.
Answer:
3a+7
Step-by-step explanation:
combine like terms
5a-2a+7
3a+7
We can’t simplify more than that
Hopes this helps please mark brainliest
Determine whether the study is an experiment or an observational study, and then identify a major problem with the study.
In a survey, 1465 Internet users chose to respond to this question posted on a newspaper's electronic edition: "Is news online as satisfying as print and TV news?" 52% of the respondents said "yes."
Question content area bottom
Part 1
This is an
▼
experiment
observational study
because the researchers
▼
do not attempt to modify
apply a treatment to
the individuals.
Part 2
What is a major problem with the study?
A.
This is a convenience sample with voluntary response, which has a high chance of leading to bias.
B.
There is no blinding or replication, which has a high chance of leading to bias.
C.
The sample is not very large.
D.
The results apply only to Internet users
The study is classified as an observational study, and the problem is given as follows:
A.
This is a convenience sample with voluntary response, which has a high chance of leading to bias.
What are experiments and observational studies?Experiments are studies in which there are two groups, with different features, and then the effect of a feature is studied.
For an observational study, there are no changes, just a question is asked, as is the case for this problem.
Convenience samples lead to bias as many people that share characteristics can answer.
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The area of the rectangle shown is 44 m².
Work out the missing length x.
Answer:
x = 12 m
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = length × width
here A = 44 , then
x × 3 \(\frac{3}{4}\) = 44 ( change mixed number to improper fraction )
x × \(\frac{11}{3}\) = 44 ( multiply both sides by 3 to clear the fraction )
11x = 132 ( divide both sides by 11 )
x = 12 m
due tomorrow help please :)
Answer:
68°
Step-by-step explanation:
The angles are equal to each other. Set them equal and solve for x
5x + 18 = 8x - 12 Subtract 5x from both sides of the equation
18 = 3x - 12 Add 12 to both sides of the equation
30 = 3x Divide both sides by 3
10 = x
Now that you have found x plug is back into 5x + 18
5(10) + 18
50 + 18 = 68
Answer:
∠ FLJ = 68°
Step-by-step explanation:
∠ EKG and ∠ FLJ are alternate exterior angles and are congruent , then
8x - 12 = 5x + 18 ( subtract 5x from both sides )
3x - 12 = 18 ( add 12 to both sides )
3x = 30 ( divide both sides by 3 )
x = 10
Then
∠ FLJ = 5x + 18 = 5(10) + 18 = 50 + 18 = 68°
On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42?
Answer:
(-80538738812075974)^3 + 80435758145817515^3 + 12602123297335631^3 = 42
Step-by-step explanation:
This is obviously a bait question.