Answers
Answer:
3=95 vertically opposite angle
2+95=129 exterior angle is equal to the sum of two opposite interior angle of a triangle
2=129-95=34 answe
4+3+47=180 sum of interior angles of a triangle is 180
4=180-47-95=38 answer
Step-by-step explanation:
Related Questions
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. You have a credit card with a balance of $754.43 at a 13.6% APR. You have $300.00 available each month to save or pay down your debts. a. How many months will it take to pay off the credit card if you only put half of the available money toward the credit card each month and make the payments at the beginning of the month? b. How many months will it take to pay off the credit card if you put all of the available money toward the credit card each month and make the payments at the beginning of the month? Be sure to include in your response: • the answer to the original question • the mathematical steps for solving the problem demonstrating mathematical reasoning
Answers
a. It will take 7 months to pay off the credit card.
b. it will take 4 months to pay off the credit card.
Since, APR stands for Annual Percentage Rate. It is the interest rate charged on a loan or credit card, expressed as a yearly percentage rate. The APR takes into account not only the interest rate, but also any fees or charges associated with the loan or credit card.
a. If you put half of the available money each month toward the credit card, then you are paying $150.00 per month towards the credit card balance.
We can use the formula for the present value of an annuity to find how many months it will take to pay off the credit card:
PV = PMT × ((1 - (1 + r)⁻ⁿ) / r)
where:
PV is the present value of the debt
PMT is the payment amount per period
r is the monthly interest rate
n is the number of periods
Substituting the values, we get:
754.43 = 150 × ((1 - (1 + 0.011333)⁻ⁿ) / 0.011333)
Simplifying and solving for n, we get:
n = log(1 + (PV ×r / PMT)) / log(1 + r)
n = log(1 + (754.43×0.011333 / 150)) / log(1 + 0.011333)
n = 6.18
Therefore, it will take 7 months to pay off the credit card if you put half of the available money each month toward the credit card.
b. If you put all of the available money each month toward the credit card, then you are paying $300.00 per month towards the credit card balance.
754.43 = 300 ×((1 - (1 + 0.011333)⁻ⁿ) / 0.011333)
Simplifying and solving for n, we get:
n = log(1 + (PV × r / PMT)) / log(1 + r)
n = log(1 + (754.43× 0.011333 / 300)) / log(1 + 0.011333)
n = 3.43
Therefore, it will take 4 months to pay off the credit card if you put all of the available money each month toward the credit card.
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Find the slope
1) Through: (4,-3) and (-2,5)
2) Through: (2,-1) and (0,-4)
Answers
Answer:
1) \(\frac{4}{-3}\)
2) \(\frac{3}{2}\)
Step-by-step explanation:
To find the slope, we can use the slope formula:
\(\frac{y2 - y1}{x2 - x1}\)
1. Through (4,-3) and (-2,5):
Slope = \(\frac{5 - (-3)}{-2 - 4}\)
Slope = \(\frac{8}{-6}\)
Simplified to: \(\frac{4}{-3}\)
2. Through (2, -1) and (0, -4)
Slope = \(\frac{-4 - (-1)}{0 - 2}\)
Slope = \(\frac{-3}{-2}\)
Slope = \(\frac{-3}{-2} \cdot \frac{-1}{-1} = \frac{3}{2}\)
Meaning that the slope of 1) is \(\frac{4}{-3}\) and the slope of 2) is \(\frac{3}{2}\).
Hope this helps!
how much money deposited now will provide payment of Rs. 15000 at the end of each half year for 10 years, if interest is 16% compounded six-monthly
Answers
The interest is 16% compounded semi-annually, is Rs. 121,179.10.
To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.
Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)
So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:
Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.
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x + 3x² – 28x
Can you guys help me solve this in ax^2+bx+c
Thank you thank you
Answers
Answer:
3x²+(-27x) +0
Step-by-step explanation:
The given expression is :
x + 3x² – 28x
We need to solve this in the form of ax²+bx+c.
we can write the given expression as :
3x²-28x+x = 3x²-27x
= 3x²+(-27x) +0
If we compare the given expression with the general expression, we find that,
a = 3, b = -27 and c = 0
Hence, the required equation is 3x²+(-27x) +0.
O
Problem !. Draw the Logic Circuit for:
BD + BE + D'F
Problem 2. What is the boolean Expression of F5?
B
X
Y
Z
F5
Answers
The simplified boolean expression for F5 is F5 = P OR (NOT R). In this expression, P represents one boolean variable, and (NOT R) represents the negation of another boolean variable R. The OR operator combines the two variables, resulting in the final boolean expression F5.
To simplify the boolean expression F5 = (P AND Q) OR (R AND NOT P), we can apply Boolean algebra rules to reduce it to its simplest form.
Step 1: Apply De Morgan's laws
NOT (R AND NOT P) can be simplified as (NOT R) OR P.
Step 2: Distributive property
F5 = (P AND Q) OR ((NOT R) OR P)
Step 3: Apply associative property
F5 = (P AND Q) OR (P OR (NOT R))
Step 4: Apply absorption law
F5 = P OR (P OR (NOT R))
Step 5: Apply idempotent law
F5 = P OR (NOT R)
By simplifying the expression, we have reduced it to its simplest form while preserving its logical meaning. The simplified expression can be used to analyze and evaluate logical circuits or systems where the variables P and R are used.
Remember, boolean algebra allows us to manipulate and simplify complex logical expressions by applying various rules and properties. These simplifications help in understanding and analyzing logical operations in digital systems and circuits.
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The question probable may be:
Consider the boolean variables P, Q, and R. Determine the boolean expression for the variable F5 using the given variables:
F5 = (P AND Q) OR (R AND NOT P)
Using the boolean variables P, Q, and R, can you simplify the expression F5 to its simplest form by applying Boolean algebra rules?
Billy drove his car 290 miles in 5 hours. Sheila drove her car 132 miles in 2 hours. If each driver is traveling at a constant speed (in miles per hour), who is driving at a faster speed?
Answers
Answer:
Shelia is
Step-by-step explanation:
hope this helps plz mark brainlessly
mations to Determine Similarity
What steps would you take to determine if these
figures are similar? Check all that apply.
Use a scale factor of 2.
Multiply the vertices of polygon ABCD by
O Translate the intermediate image 4 units down.
Perform two different dilations.
Reflect the intermediate image.
Answers
The steps which you would take to determine if these figures are similar include the following:
2. Multiply the vertices of polygon ABCD by 1/2.
5. Reflect the intermediate image.
What is a dilation?In Mathematics and Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.
Therefore, the dimension or side lengths of the dilated geometric object would be stretched or compressed (shrunk) depending on the scale factor that is applied.
By critically observing the graph representing polygon ABCD, we can logically deduce that a sequence of transformations that would polygon ABCD (pre-image) onto polygon A"B"C"D" (image) is a dilation by a scale factor of 1/2 and a reflection of intermediate image.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Please tell me how to find the limit of: lim (x -> 0) (sin(x)) / x
Answers
Step-by-step explanation:
The limit of (sin(x)) / x as x approaches 0 is a well-known limit in calculus, known as the limit definition of the derivative of the sine function.
lim (x -> 0) (sin(x)) / x = 1
This limit can be proven using L'Hopital's rule or by considering the Taylor series expansion of the sine function about x = 0:
sin(x) = x - (x^3) / 6 + (x^5) / 120 + ...
As x approaches 0, the higher order terms in the Taylor series become arbitrarily small, and the expression (sin(x)) / x approaches 1. This shows that the limit of (sin(x)) / x as x approaches 0 is equal to 1.
Find slope of the line that passes through
(1, -4) and (-4, -6)
Answers
Answer: 2/5
Step-by-step explanation:
Remember that when you write whole numbers as fractions, the numerator can be greater than the denominator. In 1-4, write an equivalent (raction for each wh
Answers
This is because 3 = 3/1, and if multiplied by 3/3 becomes 9/3.
2. 4/2
See above, this time we multiply by 2/2
3. 20/4
See above, this time we multiply by 4/4
4. 5/5
See above, this time we multiply by 5/5, and since our whole number is 1, due to the identity postulate, it will equal 5/5
Suppose that you are taking a course that has 4 tests. The first three tests are each worth 20% of your final grade, and the fourth test is worth 40% of the final grade. To get a B in the course, you must have an average of at least 80 percent on the 4 tests. Your scores on the first 3 tests were 63.5 %, 76 %, and 87 %. What is the minimum score you need on the fourth test to get a B for the course?. Don't round your answer.
Answers
Answer:
86.75
Step-by-step explanation:
Given test scores of 63.5, 76, and 87 that each count for 20% of your grade, you want to know the fourth test score needed for an average of 80, if the fourth test is worth 40% of your grade.
Course gradeThe grade for the course, with fourth test score x, will be ...
0.20(63.5 +76 +87) +0.40x = 80
0.40x +45.3 = 80
Solving for x, we get ...
0.40x = 34.7 . . . . subtract 45.3
x = 86.75 . . . . . . . divide by 0.4
The minimum score you need on the fourth test is 86.75.
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There are thirteen shirts in your closet,
eight blue and five green. You randomly
select one to wear on Monday and then a
different one on Tuesday. You wear a blue
shirt on Monday and a green shirt on
Tuesday.
Answers
11 shirts
Step-by-step explanation:
You start off with 13, wear one monday, 12, then another tuesday 11
13-2=11
I need assistance no links or I will report you
Answers
Answer:
C.0.25 is the answer I'm 90% sure.
Find the product and fill in the blanks to write in standard complex number form.
(5+3)(8 - 2) =
Answers
Answer:
14
Step-by-step explanation:
Find the product and fill in the blanks to write in standard complex number form.
**ANSWER QUICKLY PLEASE**
which expression is equivalent to 0.5y+10.5+6.5y-0.5-0.5y?
7.5y-10
7.5y+11
6.5y+10
6.5y-11
Answers
Answer:
is 6.5y + 10
iready
Answer: 6.5y + 10
Step-by-step explanation:
Add all them together
Write the equation of the circle with the given information.
Center: (5, -13)
Radius: 11
Answers
Answer:
(x - 5)² + (y + 13)² = 121
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (5, - 13 ) and r = 11 , then
(x - 5)² + (y - (- 13))² = 11² , that is
(x - 5)² + (y + 13)² = 121
Which figure below represents a rotation of 90° clockwise of the trapezoid shown?
Answers
Figure in option A is the figure that represents a rotation of 90° clockwise of the trapezoid
What is rotation?
The term rotation refers to the circular movement of an object or something about a point. The point mentioned is also called axis. The movement is circular because it involves turning round.
Rotation may be clockwise or anticlockwise. clockwise is the reverse of anticlockwise, and clockwise involves moving in same direction as the clock is turning,
As regards the trapezium, rotating it clockwise will result to the image depicted by option A
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Please help me on this
Answers
Answer19/40=x/3.6
By cross multiplication
19*3.6=40*x
68.4 =40x
x=68.4/40
x=1.71
x=
Answer: C
Step-by-step explanation:
\(\frac{19}{40} = \frac{x}{3.6}\) solve by cross product
40x = 68.4 Divide both sides by 40
x = 1.71
The diagram below represents the back of a doghouse. If the perimeter of the doghouse is 445, what is the value of x?
Answers
Answer:isisisisisjwjsusjsnss
Step-by-step explanation:
What is 0.88,0.98,0.7,0.925 in descending order? PLEASE HELP
Answers
Quadrilateral GHIJ is similar to quadrilateral KLMN. Find the measure of side NK.
Figures are not drawn to scale.
Answers
Answer:
NK = 14.4
Step-by-step explanation:
Given the following question:
We know that the two sides are similar
JI = 3, NM = 7.2
The scale factor is 2.4 since....
\(3\times2.4=7.2\)
Knowing the two sides are similar and if we multiply JI by 2.4, we get NM we can easily do the same for JG and NK.
JG = 6
\(6\times2.4=14.4\)
\(=14.4\)
NK = 14.4
Hope this helps.
ASAPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
The sum will be close to 1/4
Step-by-step explanation:
1/8+1/6 is 7/24, and 1/4th of that is 6/24, so it is very close.
Answer: The sum will be close to 1/4
Step-by-step explanation:
You can start by making the fractions have the same denominator, (8*6) which gets you 48
You then want to use the butterfly method, so 1/8 becomes 6/48 and 1/6 becomes 8/48. You then add these up to 14/48.
12/48 is 1/4, and 14/48 is close to 12/48, thus making the answer the first option.
A DVD normally costs $22. This week it is on sale for 25% off the original price. What is the sale price of the DVD?
Answers
Answer:
$16.5
Step-by-step explanation:
25 % of 22 is 5.5
22 - 5.5 = 16.5
The sale price of the DVD in this week on sale for 25% off on the original price is $16.5.
Given that the original price of a DVD is $22, that means the cost of the DVD is $22.
This week the sale on the original price of a DVD. The sale is that 25% off on the original price of a DVD, that is 25% off on $22.
Here, calculate the discount on the original price of a DVD.
\(Discount=22\times25 \%\\Discount=22\times\frac{25}{100}\\Discount=\frac{22}{4} \\Discount=\$5.5\)
The discount is $5.5 on the original price of a DVD.
Therefore, the sale price of a DVD on this week after the discount:
\(Sale\ price= \$22-$5.5\\Sale\ price=\$16.5\)
Thus, the sale price of a DVD is $16.5.
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A trapezoid is a quadrilateral with one or more pairs of parallel sides.
O A. True
OB. False
Answers
What’s the expression form of it
Answers
Answer:
it
Step-by-step explanation:
i + t = it
I need help 6+2 plz answer for brain
Answers
Answer:
8
Step-by-step explanation:
i have 6 apples + 2 peers
Answer:
6 plus 2 equals 8
Step-by-step explanation:
If you have 6 apples and your mom gives you 2 more apples then you will have 8 apples.
6,7,8
What’s the circumference of a 4 inch pie
Answers
Answer:
c=12.56
Step-by-step explanation:
If f(x) = |x| + 9 and g(x) = –6, which describes the range of (f + g)(x)?
(f + g)(x 3 for all values of x
(f + g)(x) 3 for all values of x
(f + g)(x)6 for all values of x
(f + g)(x)for all values of x
Answers
The range of values of (f + g)(x) is for all values of x -infinity to + infinity
What is the domain and range of the function?The domain of a function is defined as the set of all the possible input values that are valid for the given function.
The range of a function is defined as the set of all the possible output values that are valid for the given function.
We are Given f(x) = |x| + 9 and g(x) = –6,
Required the range of (f + g)(x)
First, calculate
(f + g)(x) = f(x) + g(x)
Substitute values for f(x) and g(x)
(f + g)(x) = |x| + 9 - 6
(f + g)(x) = |x| + 3
The above expression shows that (f + g)(x) ≥3
Range = (f + g)(x) ≥3 for all values of x
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I need help with this question.
Answers
Answer:
Refer to the attached image.
The value of b so that the function f(x) = x^4 + bx² + 1 has at least one inflection point over the interval [1,2] is given as follows:
B. b = -14.
When does a function have an inflection point?A function has an inflection point when the second derivative of the function assumes a value of zero.
The function in this problem is defined as follows:
f(x) = x^4 + bx² + 1.
Applying the power rule, the first derivative is given as follows:
f'(x) = 4x³ + 2bx = 0.
Again applying the power rule, the second derivative is given as follows:
f''(x) = 8x² + 2b.
Then the inflection points are obtained as follows:
8x² + 2b = 0
8x² = -2b
x² = -2b/8
It has an inflection point at x = 1 when:
-2b/8 = 1.
-2b = 8
2b = -8
b = -4.
It has an inflection point at x = 2 when:
-2b/8 = 4.
-2b = 32
2b = -32
b = -16.
Hence the range of values for b is given as follows:
-16 <= b <= -4.
Meaning that option B is correct.
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Evaluate the expression when
a = -4 and x=5.
-5a +x
Answers
Answer:
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
first substitute letters for their numbers in parentesis
-5(-4)+(5)
20+5
25