The reduction in the principal balance through amortization has a significant impact on the loan's overall cost. As the principal decreases, the amount of interest charged on the outstanding balance also decreases.
the correct answer is B. Amortization.
A decrease in the amount of principal owed on a loan is called amortization.
Amortization refers to the gradual reduction of the principal balance of a loan over time through regular payments. When you make payments on a loan, a portion of the payment goes towards paying off the principal amount borrowed, while another portion goes towards paying the interest charged on the loan.
The process of amortization involves dividing the total loan amount into equal installments or payments over a specified period. With each payment made, a portion goes towards reducing the principal balance. As a result, the outstanding principal decreases over time, leading to the eventual repayment of the entire loan.
Amortization is a common feature in installment loans, such as mortgages, car loans, and personal loans. It allows borrowers to repay the loan gradually rather than in a lump sum, making it more manageable and affordable.
The reduction in the principal balance through amortization has a significant impact on the loan's overall cost. As the principal decreases, the amount of interest charged on the outstanding balance also decreases. This means that over time, a larger portion of each payment goes towards paying off the principal, helping the borrower build equity and ultimately fully repay the loan.
Therefore, the correct answer is B. Amortization.
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1. Find the ratio of oranges to apples if there are 2 pineapples, 4 apples,
6 bananas, and 3 oranges in a fruit bowl.
a. 1 to 2
b. 2 to 4
c. 3 to 4
d. 3 to 2
Answer: the answer is C because there are 3 oranges and 4 apples
The following table shows the number and type of properties available in three cities.
City
Key West
Orlando
Miami
Write a matrix that represents the number of each type of property available in Key West.
[ 3 9 13 ] is the Matrix showing all types of property available in key west .
What is matrix ?A matrix is a rectangular array or table of numbers, symbols, or expressions arranged in rows and columns to represent a mathematical object or an attribute of such an entity in mathematics.
Calculationgiven in the table that how many types of property are there in the table
its a simple matrix which u can directly see
its a 3 x 1 matrix ...
[3 9 13] this matrix shows the required value
hope this helps...
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Answer: [3 9 13]
Step-by-step explanation:
Which expressions are equivalent to 24-7? Choose all the correct answers. Show your work.
The equivalent expressions to \(24^{-7}\) are given as follows:
C. \(\left(\frac{1}{24^{-7}}\right)^{-1}\)
F. \((24^3 \times 24^4)^{-1}\)
What are are equivalent expressions?Equivalent expressions are expressions that have the same value for all possible values of the variables. In other words, equivalent expressions are different ways of writing the same mathematical idea.
The exponent in the denominator can be moved to the numerator with the changed signal, hence:
\(\left(\frac{1}{24^{-7}}\right)^{-1} = (24^7)^{-1}\)
Applying the power of power rule, we multiply the powers, hence:
\((24^7)^{-1} = 24^{-7}\)
When two terms with the same base and different exponents are multiplied, we add the bases and keep the exponents, hence:
\((24^3 \times 24^4)^{-1} = (24^7)^{-1} = 24^{-7}\)
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Need help with the provided questions
Determine the total surface area and volume of each figure.
The total surface area of solid is,
S = 220 m²
And, The volume of the prism is, 200 m³
We have to given that;
A solid prism is shown in figure.
Since, The surface area of a prism is,
S = (2 × Base Area) + (Base perimeter × height)
Where, "S" is the surface area of the prism.
Hence, We get;
base area = 5 x 10 = 50 m²
height = 4 m
Base Perimeter = 2 (5 + 10) = 30
Hence, We get;
S = (2 x 50) + (30 x 4)
S = 100 + 120
S = 220 m²
Since, A prism is a solid shape that is bound on all its sides by plane faces. The volume of a prism is expressed as;
V = base area × height.
Now, For given figure,
Volume of the prism = base area × height
base area = 5 x 10 = 50 m²
height = 4 m
Hence, Volume = 50 × 4 m³
= 200 m³
Thus, The volume of the prism is, 200 m³
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I need help on how to do this!!!?
Let's say you had a cake that is cut into 5 equal slices. Then someone eats 2 of those slices. They ate 2/5 of the cake.
Now let's say you have another cake that you cut into 10 equal slices. If someone eats 4 of those ten, then they have eaten 4/10 = 2/5 of the cake.
Check out the diagram below to see a visual of how 4/10 and 2/5 are equivalent fractions.
Going from 2/5 to 4/10 has us multiply top and bottom by 2.
-----------
Similarly, 1/2 = 5/10 after multiplying top and bottom by 10
The original expression 2/5 + 1/2 turns into 4/10 + 5/10
Then you add the numerators to get 4+5 = 9, placing that over the common denominator of 10
Answer: 9/10Find the solutions of the quadratic equation -3x^2+6x-11=0
Answer:
x = -3 + 2 square root over 5
Step-by-step explanation:
Urgent please answer
Answer:
24
Step-by-step explanation:
-12 x -2 = 24
Answer:
\( \boxed{ \bold{ \huge{ \boxed{ \sf{24}}}}}\)
Step-by-step explanation:
\( \sf{ - 12( - 2)}\)
\( \dashrightarrow{ \sf{( - 12) \times ( - 2)}}\)
Multiplying or dividing a negative integer by a negative integer gives a positive integer
i.e ( - ) × ( - ) = ( + )
( - ) ÷ ( - ) = ( + )
\( \dashrightarrow{ \boxed{ \sf{24}}}\)
Hope I helped!
Best regards! :D
Which expression has the same value as 9- (-7)9−(−7)?
Answer:
I d need help on same question
Step-by-step explanation:
Factorise fully
40-10g
Please do quick, will mark brainiest!!
Answer:
10(4-g)Step-by-step explanation:
\(40 - 10g\)
Rewrite 40 as 4 × 10
\(4 \times 10 - 10g\)
Factor out 10
\(10(4 - g)\)
A kids pool had a small opening through which water sometimes leaked out. Water was poured into the pool from time to time. The graph shows the amount of water in the pool (y), in gallons, at certain times (x), in hours.
Which of the following statements best describes the amount of water in the pool ?
1) it is increasing during the time interval 4
2) it is increasing during the time interval 10
3) it is decreasing during the time interval 4
4) it is decreasing during the time interval 10
The best statement that describes the amount of water in the pool is that it is decreasing during the time interval 4. That is option 3.
How to determine the the interval of the water in the pool?To determine the time interval of the water in the pool the following is carried out.
At 0 hour, the water is at the level of = 40 gallons
At 1 hour, the water decreased to = 25 gallons.
At 2 hours, the water decreased to = 10 gallons.
The water remained at a constant level till 4 hours.
Therefore, the amount of water in the pool is that it is decreasing during the time interval 4.
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What’s the answer for this?
Answer: That is the answers.
Step-by-step explanation:
I am planning an ice cream party for 18 students who are allowed to eat 2 scoops of ice cream each. What constraint could affect our equation
Number of students = 18
Number of scoops allowed per student = 2
If we are to write the total number of scoops that all the students will recive in linear form:
let the total number represent y
A linear form has the form:
y = mx + c
In this question:
y = 2x
Since there is no constant, the c = 0
m= 2 scoops per person
x = number of persons
The constraint that can affect the equation is the number of scoops.
Since we are told each person will only have 2 scoops.
The constraint:
\(0\leq\text{ scoops}\leq\text{ 2}\)This is because we can't have negative number of scoops of ice-cream.
What is the value of x?
D
(2x)
E R
(4x + 10)
V
700
Step-by-step explanation:
180° = 2x + 70 + 4x + 10
180° = 2x + 4x + 70 + 10
180° = 6x+ 80
180 - 80 = 6x
100 = 6x
6x = 100
x = 16.66
x ≈ 17°
Mrs. Washington's class has x students. 3/4 of the students like pizza, if 21 students in the class like pizza, which equation can be solved to determine the whole number of students in class?A. 21x=3/4 B. 21x=4/3C. (4/3)x=21D. (3/4)x=21
Answer
Option D is correct.
(3/4)x = 21
x = 28
Explanation
There are x students in the class
(3/4) of the x students like pizza.
And this (3/4) of the x students is equal to 21 students.
In mathematical terms,
(3/4) × x = 21
(3/4)x = 21
We can go ahead and solve this
Multiply both sides by 4
3x = 84
Divide both sides by 3
(3x/3) = (84/3)
x = 28
Hope this Helps!!!
DID YOU HEAR ABOUT... (Math photo attached)
[50 points for all answers] [comment and let me know if something is unclear in the image! (:]
The values of the variable based on the equation include:
a. x = 32
b. x = 55
c. y = -18
d. m = -70
e. p = 3
f. t = 7
g. x = -11
h. n = -25
i. u = 16
j. v = 27
k. x = -9
l. w = 64
m. y = -78
n. y = 36
o. r = 5
How to compute the variables?It should be noted that an equation simply means a formula that can be used to express the equality of two expressions.
a. 1/8x = 4
x = 4 × 8
x = 32
b. 1/5x = 11
x = 5 × 11
x = 55
c. 1/9y = -2
y = -2 × 9
y = -18
d. 1/2m = -35
m = 2 × -35
m = -70
e. 6p = 18
p = 18/6
p = 3
f. 12t = 84
t = 84/12
t = 7
g. 3x = -33
x = -33/3
x = -11
h. -4n = 100
n = 100/-4
n = -25
i. -3u = -48
u = -48/-3
u = 16
j. 2v = 54
v = 54 / 2
v = 27
k. -72 = 8x
x = -72 / 8
x = -9
l. 1/4w = 16
w = 16 × 4
w = 64
m. 13 = -1/6y
y = 13 × -6
y = -78
n. -18 = -1/2y
y = -18 × -2
y = 36
o. 1/2r = 5/2
r = 5/2 × 2/1
r = 5
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Three pizza are shared equally among 12 people.what fraction of a pizza will each person get?
A
4/1
B
3/1
Answer:
d) 1/12
Step-by-step explanation:
Rewrite the expression as a single logarithm
Please help will give brainlist only if correct!
The correct option is (d) i.e. log [ √x × (x-1)^3 / ∛ (x+1)^2 ] is as the single logarithm.
What is logarithm?
Logarithm is a mathematical operation which is used to determine the exponential power of a number. It is the inverse operation of exponentiation. Logarithm is commonly used in calculus, algebra, and other areas of mathematics. It can also be used to solve problems involving exponents, roots, and powers. Logarithm is denoted by the symbol log, and is read as "log to the base". The base is the number which the logarithm is taken to. For example, log2 10 is the logarithm to the base 2 of 10. This is equivalent to saying "2 to the power of what equals 10?" The answer is that 2 raised to the power of 3 (2^3) would equal 10.
Given, log x / 2 + 3 [ log(x-1) - 2/9 log(x+1) ]
= log √x + 3 log(x-1) - 2/3 log (x+1) {∵ log x^a = a log x }
= log √x + log (x-1)^3 - log (x+1)^2/3
= log √x + log [(x-1)^3 / (x+1)^2/3] {∵ log a - log b = log a/b }
= log [√x × (x-1)^3 / (x+1)^2/3 ]
= log [ √x × (x-1)^3 / ∛ (x+1)^2 ]
Hence, (d) is the correct option.
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Does anyone know what the answer please??
Answer:
x=4
Step-by-step explanation:
im pretty sure you make the equation equal to eachother so its 9x+4=5x+20
combine like terms
4x=16
x=1/4
Thomas has a collection of 25 coins; some are dimes and some are quarters. If
the total value of all the coins is $5.05, how many kinds of coins are there
Answer:
17 quarters and 8 dimes
Step-by-step explanation:
10dimes +25*(25-dimes)=505
‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 +
Answer:
i am soooooooooooooooooo counfused
Answer:
12
Step-by-step explanation:
Left:
Simplify the following:
-9 - -12
-(-12) = 12:
-9 + 12
-9 + 12 = 3:
Answer: 3
______________________
Right:
Do the following addition:
-9 + 12
The number -9 is negative. Start from 0 and move 9 to the left:
Show the addition of 12 to -9. Start from the end of the previous arrow and move 12 to the right:
The final arrow is pointed at 3. This is the answer:
Answer: 3
HELP ASAP PLEASE!!!! SHOW WORK D = child’s dosage in milligrams a = age of the child M = adult dosage in milligrams The child weighs 55 lbs. Convert the child’s weight in pounds (lbs.) to kilograms (kg).
Answer:
24.95 kg
Step-by-step explanation:
one pound =0.45356 kg
55 lbs=55*45356 =24.95 kg
The stemplot shows the snowfall, in inches, in US cities during December.
Use this graphic to answer the question.
Use the drop-down menus to complete the statements about the snowfall amounts shown in the stemplot.
This distribution of snowfall amounts is
. There appears to be one outlier in snowfall amount at
inches.
This distribution of snowfall amounts is skewed to the right
When are data skewed to the rightData is said to be skewed to the right or positively skewed, when the tail of the distribution extends more towards the right side of the data. This means that there are a few larger values or outliers that pull the mean or median towards the higher end of the scale, resulting in a longer tail on the right side of the distribution.
In a positively skewed distribution majority of the data is concentrated towards the lower values.
Considering the stemplot the majority of the data is in the lower values
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Answer:
to the second part
18.7 inches
Find the 66th
term in the following
arithmetic sequence
-92, -85, -78, -71, ...
Answer:
The \(66\)th term is \(363\).
Step-by-step explanation:
To find the \(n\)th term, the formula is \(7n - 99\). Since we want to find the \(66\)th term, we can plug \(n\) for \(66\). So our expression is now \(7 \cdot 66 - 99 =\) \(66\)th term. Solving this we have
\(462 - 99 = 66\text{th term}\\363 = 66\text{th term}\\\). Therefore, the \(66\)th term is \(\boxed{363}\).
Answer:
a₆₆ = 363
Step-by-step explanation:
the nth term of an arithmetic sequence is
\(a_{n}\) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = - 92 and d = a₂ - a₁ = - 85 - (- 92) = - 85 + 92 = 7 , then
a₆₆ = - 92 + (65 × 7)
= - 92 + 455
= 363
Translate 2 3 y − 9 < y + 1 into a sentence. Nine than two-thirds of number is less than the number .
The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."
To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:
"2/3y" represents two-thirds of a number.
"9" represents the number nine.
"y + 1" represents the number increased by one.
Now let's construct the sentence:
"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.
"is less than" - This is the comparison symbol in the inequality.
"the number" - This refers to the expression "y + 1," representing the number increased by one.
Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."
Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."
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HELP ME PLEASE
(i give brainliest answer)
Questi
answe
Dwayne's town voted on a new speed limit. Out of 2,000 votes, 800 were in favor of the new
speed limit. What percentage of the votes were in favor of the new speed limit?
17
Write your answer using a percent sign (%).
Answer:
40%
Step-by-step explanation:
800/2000 = 80/200 = 8/20 = 4/10 = 0.4
0.4 = 40%
Answer:
it should be 40%
Step-by-step explanation:
800/2000 = 80/200 = 8/20 = 4/10 = 0.4 0.4 = 40%
Wanda listed these facts about parallelograms.
Opposite angles are equal to each other.
Adjacent sides may have different lengths.
There are exactly two sets of parallel sides.
Both pairs of opposite sides have the same length.
Which One is correct
Answer:
there are exactly two sets of parallel sides
Colin borrowed 4200 at 8% simple interest to be paid back in 3 years. How much interest will he pay
Answer:
Answer 1008
Step-by-step explanation:
Marcie cooked dinner for herself. The original recipe has a serving size of 4 and requires four and four fifths pounds of chicken. How many pounds of chicken will be needed for a single serving? FAST PLS !!!!
Answer:
1.2 pounds of chicken per serving.
Step-by-step explanation:
4 and 4/5 of pounds of chicken for serving of 4.
We can also write this as 4.8 pounds of chicken.
To find how much pound of chicken will be needed for a single serving we have to divide 4.8 by 4.
\( \frac{4.8}{4} = 1.2 \: pounds \: of \: chicken\)
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Thanks!
(SAT Prep) Find the value of x.
x 105 35
Angles in a triangle add up to 180 degrees
The value of x is 85 degrees
What is triangle?A triangle is a polygon which has three sides and three vertices. It is one of the normal shapes in geometry. A triangle with vertices A, B, and C has three sides & three angles A, B, C.
here, we have,
How to determine the value of x
The total sum of angles for a triangle is 180 degrees.
So, we have:
x + 35 + 60 = 180
Evaluate the sum
x + 95= 180
Subtract 95 from both sides
x = 85
Hence, the value of x is 85 degrees
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Full question: (SAT Prep) Find the value of x. 35° 60° X
x=?