4,238 as the sum of three different four digits numbers
Answer:
Step-by-step explanation:
Option 1: 1000 + 2000 + 1238
Option 2: 1500 + 1700 + 2038
which expression is equivalent to 3(9p+2r)
Answer:
27p+6r
Step-by-step explanation:
3(9p+2r)
1 Solve the product 3(9p+3 2r)
3⋅9p+3x2r
Multiply 3 times 9
27p+3x2r
Final Answer
27p+6r
You want to buy a 28,000 car. You can make a 10% down payment, and will finance the balance with a 2% interest for 48 months. What will your monthly payment be
The monthly payment when you want to buy a 28,000 car is $567.
How to calculate the value?It should be noted that when the 10% down payment is made, the amount left will be:
= $28000 - (10% × $28000)
= $28000 - $2800
= $25200
The interest will be:
= PRT / 100
P = $25200
R = 2%
T = 48 months = 4 years
Interest = (25200 × 2 × 4)/100
= $2016
Total amount to be paid:
= $25200 + $2016
= $27216
The monthly payment will be:
= Amount / 48 months
= $27216 / 48
= $567
The monthly payment is $567.
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Answer:
$546.72
Step-by-step explanation:
a drill has a size of /5 /16 inch what this measurement as a decimal
The measurement of the drill as a decimal is 0.3125
Measurement can be described as the length or size of an object
A drill has a size of 5/16 inch
Convert the fraction which is the size of the drill in inches to decimal
5/16 = 0.3125
Hence the measurement of the drill in decimal is 0.3125
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Type the integer that makes the following addition sentence true for Brainliest!!!!!!!!
Answer:
18
Step-by-step explanation:
65-47 = 18 there please thanks and 5 stars and brainliest :)
Answer: 18
Step-by-step explanation:
It’s asking: what plus 47 equals 65?
so to find this, you could do 65 - 47 = ?
65 - 47 = 18
The answer is 18
Why is -x < 3 equivalent to x>-3? Explain.
The two expressions are equivalent because they both represent the same concept: a number that is less than 3 but negative. In the first expression, -x, the negative sign in front of the x indicates that the value of the expression is the opposite of x. So if x is a positive number, then -x will be a negative number, and vice versa. In the second expression, x > -3, the greater than sign indicates that the value of x is greater than -3. Since we know that x is negative, this means that x is less than -3.
Therefore, both expressions represent the same thing: a number that is less than 3 but negative. This is why they are equivalent.
The midpoint of AB is M (6,1). If the coordinates of A are (4, 8), what are the coordinates of B?
Answer:
\(B = (8,-6)\)
Step-by-step explanation:
Given
\(A = (4,8)\)
\(M = (6,1)\) -- Midpoint
Required
Find B
This question will be solved using midpoint formula;
\(M(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})\)
Where
\(A(x_1,y_1) = (4,8)\)
\(M(x,y) = (6,1)\)
Substitute these values in the midpoint formula;
\((6,1) = (\frac{4 + x_2}{2},\frac{8+y_2}{2})\)
By comparison; we have:
\(\frac{4 + x_2}{2} = 6\) -- (1)
\(\frac{8 + y_2}{2} = 1\) -- (2)
Solving (1)
\(\frac{4 + x_2}{2} = 6\)
Multiply both sides by 2
\(4 + x_2 = 12\)
Subtract 4 from both sides
\(x_2 = 8\)
Solving (2)
\(\frac{8 + y_2}{2} = 1\)
Multiply both sides by 2
\(8 + y_2 = 2\)
Subtract 8 from both sides
\(y_2 = -6\)
Hence:
\(B = (8,-6)\)
What is the area of the figure?
ignore that I've already clicked an option that was on accident.
Answer:
D i think
Step-by-step explanation:
Write this ratio as a fraction in lowest terms 40 minutes to 90 minutes
Answer:
your answer should be 4/9
Step-by-step explanation:
Hope this helps!
The ratio as a fraction in lowest terms is 4/9
How to express the ratio as fraction?The ratio is given as:
Ratio = 40 minutes to 90 minutes
Remove the units
Ratio = 40 to 90
Express as fraction
Fraction = 40/90
Simplify
Fraction = 4/9
Hence, the ratio as a fraction in lowest terms is 4/9
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Determine which conic section is represented based on the given equation: 4x^2+9xy+4y^2-36y-125=0
The conic section of the equation 4x² + 9x +4y² - 36y - 125 = 0 is a circle
Selecting the conic section of the equationThe given equation is
4x² + 9xy + 4y² - 36y - 125 =0
The above equation is an illustration of a circle equation
The standard form of a circle equation is
(x - a)² + (y - b)² = r²
Where
(a, b) is the center
r is the radius
While the general form of the equation is
ax² + fx + by² + gy + c =0
Where c is a constant
Recall that, we have
4x² + 9x + 4y² - 36y - 125 =0
This is the general form
We can convert to the standard form as follows
Divide through by 4
x² + 2.25x + y² - 9y - 31.25 =0
Next, we complete the square of the x-terms and the y-terms
For the x-terms, we have
x² + 2.25x = x² + 2.25x + (2.25/2)² - (2.25/2)²
x² + 2.25x = (x + 2.25/2)² - (2.25/2)²
For the y-terms, we have
y² - 9y = y² - 9y + (9/2)² - (9/2)²
y² - 9y = (y - 9/2)² - (9/2)²
Substitute the new x and y terms
So, x² + 2.25x + y² - 9y - 31.25 = 0 becomes
(x + 2.25/2)² - (2.25/2)² + (y - 9/2)² - (9/2)²- 31.25 =0
Evaluate the sum of like terms
(x + 2.25/2)² + (y - 9/2)² - 3377/64 = 0
So, we have
(x + 9/8)² + (y - 9/2)² = 3377/64
Using the above as a guide, we can conclude that the conic section of the equation is a circle
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QUICK I NEED HELP! ILL MARK BRAINLIEST IF CORRECT
Find the amount in a continuously compounded account for the following condition.
Principal, $2000; Annual interest rate, 5.1%; time, 3 years
Whats the balance after 3 years?
Answer:
The balance in the account after 3 years is approximately $2313.94.
Step-by-step explanation:
The formula for calculating the balance in a continuously compounded account is:
B = Pe^(rt)
Where:
B = balance
P = principal
e = Euler's number (approximately 2.71828)
r = annual interest rate (as a decimal)
t = time in years
Using the given values, we have:
P = $2000
r = 0.051 (5.1% expressed as a decimal)
t = 3
Plugging these values into the formula, we get:
B = 2000e^(0.051*3)
B = 2000e^(0.153)
B = $2313.94 (rounded to the nearest cent)
Therefore, the balance in the account after 3 years is approximately $2313.94.
A rectangle is h units high. It's length 3 units more than it's height. What is the perimeter?
The perimeter of the rectangle is 4h + 6
What is an algebraic expression?An algebraic expression can be defined as an expression that is composed of terms, variables, coefficients, constants and factors.
These expressions are also made up of arithmetic operations, such as;
SubtractionAdditionMultiplicationDivisionBracketParenthesesThe formula for calculating the perimeter of a rectangle is expressed as;
Perimeter = 2( l + h)
Where;
l is the lengthh is the height of the rectanglel = 3 + h
Substitute the values
Perimeter = 2( 3 + h+ h)
expand the bracket
Perimeter = 2(3 + 2h)
Perimeter = 4h + 6
Hence, the expression is 4h + 6
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100 POINTS!! ASAP - Plss SHOW WORK
Answer:
h ≈ 174.3 m
Step-by-step explanation:
Step 1: Define variables
∅ = 71°
b = 60 meters (horizontal leg of the triangle)
We are solving for height h (vertical leg of the triangle)
Step 2: Use Trig
tan∅ = opposite over adjacent
tan71° = h/60
Step 3: Evaluate
60tan71° = h
h = 174.253 m
h ≈ 174.3 m
Answer:
the height of the building is 174.3 m
Step-by-step explanation:
see attached image
height of building (h) = x tan Ф
where x = 60m
Ф = 71°
plugin values into the formula
h = 60 tan (71)
h = 174.3 m
therefore
the height of the building is 174.3 m
simplyfy
5xxx
6xxxy
2xxx3xy
Answer:
5xxx + 2xxx +6xxxy + 3xy
7xxx + 6xxxy + 3xy
Step-by-step explanation:
Answer:
\(5x^3,6x^3y,6x^4y\)
Step-by-step explanation:
First we write the x factors in exponential form (using powers)Just count the number of x and then use that number as the powerso \(5xxx=5x^{3}\) since we have 3 x'sthen \(6xxxy=6x^3y\) same as the firstFor the third one, group the numbers together and each letter with its group so \(2xxx3xy=2*3*xxxx*y\) then multiply the numbers and change x in exponent formthen \(2*3*xxxx*y=6*x^4*y=6x^4y\)The set A = {1, 3, 5}. What is a larger set this might be a subset of?
Answer:
Step-by-step explanation:
A larger set that a particular set can be a subset of is a Universal set. A universal set is parent where all other sets are derived from.
For example, given a universal set U = {1,2,3,4,5}, a set A = {1, 3, 5} is said to be a subset of the set U because the elements of set B are contained in the Universal set U.
Also, sets like {1, 4,5} and {3,4,5} can also be regarded as the subset of U since all the elements of the sets can be found in the Universal set U. Hence the correct name of the set is a UNIVERSAL SET
So, the number of maximum subsets we can create from the given set is 8.
Subsets:The subsets of any set consists of all possible sets including its elements and the null set. Let us understand with the help of an example.
Example: Find all the subsets of set A = {1,2,3,4}
Solution: Given, A = {1,2,3,4}
Subsets =
The subsets of any set consisting of all possible sets including its elements and the null set. Let us understand with the help of an example.
Example: Find all the subsets of set A = {1,2,3,4}
{}
{1}, {2}, {3}, {4},
{1,2}, {1,3}, {1,4}, {2,3},{2,4}, {3,4},
{1,2,3}, {2,3,4}, {1,3,4}, {1,2,4}
{1,2,3,4}
So, the formula is \(2^n\).
The given set is,
\(A = \{1, 3, 5\}\)
Here the number of an element is 3.
So, the maximum number of subsets we can create is,
\(2^n=2^3=8\)
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The graph represents the piecewise function: f (x) ={ , if -3
The domain and the range of the function are
Domain = (-∝, ∝)Range = (0, ∝)How to determine the domain and range of the functionFrom the question, we have the following parameters that can be used in our computation:
The graph
The graph is a piecewise function
When combined gives an absolute function
The rule of a function is that
The domain is the set of all real numbers
This means that the input value can take all real values
However, the range is greater than the constant term
In this case, it is 0
So, the range is y > 0
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Question
The graph represents the piecewise function:
f(x) =
What is the domain and range of the function
g=x-c+y, solve for x
Answer: x = g + c -y
Step-by-step explanation:--------------
Answer:
hope this helps
Step-by-step explanation:
it has a video explaining sorry if it dosent help please give thanks
h t t p s : / / w w w . y o u t u b e . c o m / w a t c h ? v = T - u P 0 K z k t q g
if you take out the spaces between the link above it will work it just woudnt let me put a link so i did this
A company that sells paper has a tiered pricing model based on how much paper you buy. If you buy less than 10 reams, they charge you $7 per ream and a shipping cost of $8. If you buy 10 or more reams but less than 20 reams, they charge you $6 per ream and a shipping cost of $16. If you buy 20 or more reams, they charge you $6 per ream and shipping is free.
a. Write a function that models the price in terms of the number of reams bought.
b. What is the domain of the function?
c. What is the range of the function?
d. How much will it cost to buy 25 reams of paper?
f. How much paper can you buy for $60?
The function can be defined as price = 6x
It will cost $150 to buy 25 reams of paper.
How to explain the functionThe domain of the function is all non-negative real numbers, since the number of reams bought cannot be negative.
The range of the function is all non-negative real numbers, since the price cannot be negative.
Fir 25 items, price = 6(25) = $150
It will cost $150 to buy 25 reams of paper.
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Hi can any one teach me this constant difference
The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).
How do you find the constant difference in a sequence of numbers?In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.
Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.
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15 x 3 x 3 =
and i need to show work
Step-by-step explanation:
15×3×3=135
hope it helps you
To pay for a home improvement project that totals $20,000, a homeowner is choosing between two different credit card loans with an interest rate of 9%. The first credit card compounds interest quarterly, while the second credit card compounds monthly. The homeowner plans to pay off the loan in 10 years.
Part A: Determine the total value of the loan with the quarterly compounded interest. Show all work and round your answer to the nearest hundredth. (4 points)
Part B: Determine the total value of the loan with the monthly compounded interest. Show all work and round your answer to the nearest hundredth. (4 points)
Part C: What is the difference between the total interest accrued on each loan? Explain your answer in complete sentences. (2 points)
Please only responded if you know how to do it, will give the brainiest to however answers it correctly
The total value of the loan with quarterly compounded interest is approximately $45,288.38, while the total value of the loan with monthly compounded interest is approximately $45,634.84. The difference in total interest accrued is approximately $346.46.
Part A: To determine the total value of the loan with quarterly compounded interest, we can use the formula for compound interest:
A = P(1 + r/n)^(nt),
where:
A is the total value of the loan,
P is the principal amount (initial loan amount),
r is the interest rate (in decimal form),
n is the number of times interest is compounded per year,
and t is the number of years.
Given:
P = $20,000,
r = 9% or 0.09,
n = 4 (quarterly compounding),
t = 10 years.
Substituting the values into the formula, we have:
A = 20000(1 + 0.09/4)^(4*10).
Calculating this value, we find:
A ≈ $45,288.38.
Therefore, the total value of the loan with quarterly compounded interest is approximately $45,288.38.
Part B: To determine the total value of the loan with monthly compounded interest, we follow the same formula but with a different value for n:
n = 12 (monthly compounding).
Substituting the values into the formula, we have:
A = 20000(1 + 0.09/12)^(12*10).
Calculating this value, we find:
A ≈ $45,634.84.
Therefore, the total value of the loan with monthly compounded interest is approximately $45,634.84.
Part C: The difference between the total interest accrued on each loan can be calculated by subtracting the principal amount from the total value of each loan.
For the loan with quarterly compounding:
Total interest = Total value - Principal
Total interest = $45,288.38 - $20,000
Total interest ≈ $25,288.38.
For the loan with monthly compounding:
Total interest = Total value - Principal
Total interest = $45,634.84 - $20,000
Total interest ≈ $25,634.84.
The difference between the total interest accrued on each loan is approximately $346.46.
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the perimeter of a semicircle protractor is 14.8cm,find it's radius
The radius of the semicircle protractor is approximately 4.693 cm.
Given,Perimeter of a semicircle protractor = 14.8 cm.
To find:The radius of a semicircle protractor.Solution:We know that the perimeter of a semicircle protractor is the sum of the straight edge of a protractor and half of the circumference of the circle whose radius is the radius of the protractor.
Circumference of a circle = 2πrWhere, r is the radius of the circle.If the radius of the semicircle protractor is r, then Perimeter of a semicircle protractor = r + πr [∵ half of the circumference of a circle =\((1/2) × 2πr = πr]14.8 = r + πr14.8 = r(1 + π) r = 14.8 / (1 + π)r ≈ 4.693\) cm.
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Oliver surveyed 880 of the students in his school about their favorite color. Students
could choose between red and blue. 35% said their favorite color was blue. How many
students' favorite color was red?
Answer:
572
Step-by-step explanation:
10%=88
5%=44
30%=264
35%=308= favourite colour blue
880-308=572= favourite colour red
2u+15 less than or equal to 55
Answer:
less than i dont know
wxz
if each genre has a 25% chance of playing, about how many times should we expect each genre playing out of 20
The set up:
(0.25)(20) =
So, multiply.
Answer:
5 timesStep-by-step explanation:
Each one has a 25% chance, which is 0.25 times
Number of attempts is 20
Expected number is:
0.25*20 = 5 timesB
D
Apply the sorted edges algorithm to the graph above. Give your answer as a list of vertices, starting
and ending at vertex A. Example: ABCDA
> Next Question
If ORBIT is coded BEOVG, then how is PLANET coded? /
1. CYNARG
2. CONAVG
3. CYNAVG
4. XONARG
Answer:
1. CYNARG
Step-by-step explanation:
This a example of Caesar's Cipher, in which each letter in the original word leads to a ciphered letter according to the following equation:
\(C = (P + o) \text{mod} 26\)
In which C is the index of the Ciphered letter in the alphabet, P is the index of the original letter and o is the offset.
Finding the offset:
O is coded B
O is the 15th letter in the alphabet, so \(P = 15\).
B is the 2nd letter in the alphabet, so \(C = 2\)
\(C = (P + o) \text{mod} 26\)
\(2 = (15 + o) \text{mod} 26\)
\(|o = |2-15| \text{mod} 26\)
\(o = 13\)
So
\(C = (P + 13) \text{mod} 26\)
PLANET:
P
P is the 16th letter in the alphabet.
\(C = (16 + 13) \text{mod} 26 = 3\)
So P is coded C.
L
L is the 12th letter in the alphabet:
\(C = (12 + 13) \text{mod} 26 = 25\)
L is coded Y(25th letter in the alphabet)
A
A is the 1st letter in the alphabet
\(C = (1 + 13) \text{mod} 26 = 14\)
A is coded N
N
N is the 14th letter in the alphabet
\(C = (14 + 13) \text{mod} 26 = 1\)
N is coded A
E
E is the 5th letter in the alphabet
\(C = (5 + 13) \text{mod} 26 = 18\)
E is coded R
So the correct answer is:
1. CYNARG
Aden records the height of a stack of building blocks as he adds blocks to the top of the stack. The graph shows the height, in
inches, based on the number of building blocks in the stack.
Height of Building Blocks Stack
20
18
16
14
12
Total Height (inches)
10
8
6
4
2
5 10 12 16 10 20 X
Building Blocks
Which statement best interprets the unit rate of the situation?
OA. For every 2 blocks added to the stack, the height increases by } of an inch.
Each building block added to the stack increases the height by or an inch.
Oc. Each building block added to the stack increases the height by 2 inches.
ОВ.
A = 2450 + 7408
The total amount, A, in thousands of dollars, of scholarship money given out by a college
throughout its history at a time of 8 semesters after the summer of the year 2000 is given by the
equation above. What was the total amount of scholarship money, in thousands of dollars, given
out by the college up to the summer of the year 2000?
The total amount of money given out in scholarship fee up to the summer of year 2000 is 2450 thousand dollars which is also the intercept of the model.
The actual regression equation for the total amount money, A given out is : A = 2450 + 740s
s = number of scholarships given out after the summer of thr year 2000The total amount given out in scholarship up to the summer of the year 2000 will will the value of A in the regression equation when s = 0
Inputting s = 0 in the equation :
A = 2450 + 740(0)
A = 2450
Therefore, the total amount of money giving out for scholarship upto the summer of year 2000 is 2450 thousand dollars.
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how many ft is equal to 1.66m
Answer:
5.44 meters
Step-by-step explanation:
We Know
0.3048 meter = 1 ft
How many ft makes a height of 1.66m?
We Take
1.66 ÷ 0.3048 ≈ 5.44 meters
So, the answer is 5.44 meters.