Answer:
Explanation: An isosceles triangle is a triangle in which two of the three sides are the same length, or two of the three angles are the same degree.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
If 2 angles are congruent, then it is an isosceles triangle (ALWAYS)
If a pool table measures 4 ft by 8 ft , what is the diagonal length from the bottom right pocket to the nearest tenth?
Answer:
8.9 ft
Step-by-step explanation:
Use Pythagorean theorem,
a² + b² = c²
√(a² + b²) = c
The diagonal is the hypotenuse of the rectangular pool table.
So,
√(4² + 8²) = c
√(16 + 64) = c
√(80) = c
8.944... = c
Nearest tenth:
8.9
Mrs. Vamer deposited q dollars in a bank account that has been earning annual interest The total value of the
account is based on the function f(x) = 1.025%, where x represents the number of years the money has been in the account If no deposits or withdrawals are made after the initial deposit, which equation represents the total value of
the account 5 years from now?
Answer:
the answer is b
Step-by-step explanation:
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Jim Tree bought a home with a 10% adjustable rate mortgage for 20 years. He paid $9.66 monthly per thousand on his original loan. At the end of 2 years he owes the bank $55,000. Since interest rates have risen to 12%, the bank will not renew the mortgage at this rate, or Jim can pay the bank $55,000. He decides to renew and will now pay $11.02 monthly per thousand on his loan. For comparison purposes the small amount of principal that has been paid during the 2 years can be ignored.
Old monthly payment =_______
New monthly payment =_______
Percent increase in monthly payment (to nearest tenth) =______
Old monthly payment = $966
New monthly payment = $605.10
Percent increase (to nearest tenth) = -37.3%
Given that,
Jim Tree bought a home with a 10% adjustable rate mortgage for 20 years.
He paid $9.66 monthly per thousand on his original loan.
At the end of 2 years, he owes the bank $55,000.
Interest rates have risen to 12%, and the bank will not renew the mortgage at this rate.
Jim can either pay the bank $55,000 or renew the mortgage at the higher interest rate.
Jim decides to renew and will now pay $11.02 monthly per thousand on his loan.
For comparison purposes, the small amount of principal that has been paid during the 2 years can be ignored.
Based on the information provided, Jim's old monthly payment can be calculated as follows:
Calculate Jim's original loan amount. We know that he paid $9.66 monthly per thousand on his original loan,
So if we divide his monthly payment by 1000,
We get his monthly interest rate:
$9.66 ÷ 1000 = 0.00966
Use the loan formula to calculate Jim's original loan amount:
Loan amount = Payment amount ÷ (Interest rate x (1 + Interest rate[tex])^N[/tex]- 1)
Where N is the number of payment.
Using this formula, and plugging in Jim's numbers, we get:
Loan amount = $9.66 ÷ (0.00966 x [tex](1 + 0.00966)^{240}[/tex] - 1)
= $100,000
Now that we know Jim's original loan amount, we can calculate his old monthly payment:
Old monthly payment = Loan amount x Payment amount per thousand
= $100,000 x $9.66
= $966
Therefore, Jim's old monthly payment was $966.
To calculate the new monthly payment and the percent increase,
We can follow these steps:
First, we need to calculate Jim's new loan amount.
We know that he owes the bank $55,000 after 2 years,
So we can use this amount as his new loan amount:
New loan amount = $55,000
Calculate Jim's new monthly interest rate.
We know that the interest rate has increased from 10% to 12%,
So we can calculate the new monthly interest rate as follows:
New monthly interest rate = 12% ÷ 12
= 0.01
Use the loan formula again to calculate Jim's new monthly payment:
New monthly payment = Loan amount x Payment amount per thousand
= $55,000 x $11.02
= $605.10
Therefore, Jim's new monthly payment is $605.10.
To calculate the percent increase,
we can use the following formula:
Percent increase = ((New value - Old value) ÷ Old value) x 100%
Plugging in Jim's numbers, we get:
Percent increase = ((605.10 - 966) ÷ 966) x 100% = -37.3%
Therefore, the percent increase (to the nearest tenth) is -37.3%.
However, note that this is a negative value, which means that Jim's new monthly payment is actually lower than his old monthly payment.
This is likely due to the fact that the loan amount has decreased significantly since Jim has already paid off a portion of the loan during the first 2 years.
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Final Answer:
Old monthly payment = $531.30
New monthly payment = $605.10
Percent increase in monthly payment (to the nearest tenth) = 13.9%
Explanation:
Let's calculate each part step by step.
Firstly, we will calculate the old monthly payment. Jim was paying at a rate of $9.66 monthly per thousand dollars of the original loan. We'll first determine how many thousands of dollars Jim owed at the beginning:
1. Old Monthly Payment:
Since he owes $55,000 at the end of 2 years and hasn't paid much towards the principal, we assume that the original loan amount was approximately $55,000.
Now, if he paid $9.66 per thousand dollars of the loan, we will calculate the monthly payment with the following steps:
- Divide the loan amount by 1,000 to find out how many "units" of $9.66 he would have to pay.
- Multiply the number of units by $9.66 to find the monthly payment.
Doing the calculations:
[tex]\( \frac{55,000}{1,000} = 55 \) units. \\\\\( 55 \text{ units} \times $9.66 = 55 \times 9.66 = $531.30 \).[/tex]
So, the old monthly payment was $531.30.
2. New Monthly Payment:
Now that the interest rate has increased to 12%, Jim will be paying at a rate of $11.02 monthly per thousand dollars.
Using the same method as above:
- Divide the loan amount by 1,000 to get the number of units.
- Multiply the number of units by $11.02 to find the new monthly payment.
Calculations:
[tex]\( \frac{55,000}{1,000} = 55 \) units.\\\\\( 55 \text{ units} \times $11.02 = 55 \times 11.02 = $605.10 \).[/tex]
So, the new monthly payment is $605.10.
3. Percent Increase in Monthly Payment:
To find the percent increase, we'll use the formula:
[tex]\[ \text{Percent Increase} = \left( \frac{\text{New Payment} - \text{Old Payment}}{\text{Old Payment}} \right) \times 100 \][/tex]
Performing the calculation:
[tex]\[ \text{Percent Increase} = \left( \frac{605.10 - 531.30}{531.30} \right) \times 100 \\\\\[ \text{Percent Increase} = \left( \frac{73.80}{531.30} \right) \times 100 \\\\\[ \text{Percent Increase} = 0.1388 \times 100 \\\\\[ \text{Percent Increase} = 13.88\% \][/tex]
To find the nearest tenth, we'll round the percent increase to one decimal place:
13.88% rounded to the nearest tenth is 13.9%.
Now, we can write down the final answers:
Old monthly payment = $531.30
New monthly payment = $605.10
Percent increase in monthly payment (to the nearest tenth) = 13.9%
The table shows the height of a tree for various years after it was planted. Using the line of best fit, how tall would the tree be 30 years after it was planted?
A) 22 Feet
B) 36 Feet
C) 37 Feet
D) 23 Feet
Samuel needs 2 boards to make a shelf. One board is 84 centimeters long
and the other is 45 centimeters long.
What is the total length of the shelf?
centimeters
What would your answer be in millimeters?
millimeters
Answer:
The length of the shelf is 129 cm or 1290 mm.
Step-by-step explanation:
Since Samuel will use the two boards to make the shelf, then the total length of the shelf is the sum of the lengths of each board. So in order to solve this problem we must do as shown bellow:
length shelf = length board1 + length board2
length shelf = 84 + 45 = 129 cm
In order to convert this to milimeters we must multiply the answer above by 10. So we have:
length shelf = 129*10 = 1290 mm
The length of the shelf is 129 cm or 1290 mm.
Answer: 129 cm = 1290 mm
Step-by-step explanation:
Hi, to answer this question we simply have to add the length of both boards.
Mathematically speaking:
Total length = 84 cm + 45 cm = 129 centimiters
Since:
1 cm = 10mm
To convert 129 cm to mm we have to multiply it by 10.
129 cm x 10 mm/cm =1290 mm
Feel free to ask for more if needed or if you did not understand something.
Evan's science class planted sunflower seeds as part of a research project. A student was sent out each week to measure the height of a flower of their choice. The data in the scatter plot shows their findings from week 2 to week 12.
Which function, h(w), approximates the height of the sunflowers after w weeks?
A) h(w) = 0.30x - 1.09
B) h(w) = 0.30x + 1.52
C) h(w) = 3.18x + 3.78
D) h(w) = 3.23x - 4.14
Answer:
D
Step-by-step explanation:
If you graph equation D you get the following graph, which is closest to the plots
It's impossible to determine the accurate function h(w) that approximates the height of the sunflowers after w weeks from the question alone. This would typically involve evaluating a scatter plot and applying linear regression to find the best fitting function. The approximating function would be understood as the one that best matches the given options, minimizing the distance between the data points and the line.
Explanation:The function that approximates the height of the sunflowers after w weeks (h(w)) cannot be determined directly from the question as it depends on the data present in the scatter plot that was mentioned. Given a scatter plot, we would aim to find a function that best approximates the trend or pattern seen in the plot.
It's an instance of linear regression, a statistical method used to model the relationship between a dependent variable (in this case, height of the sunflowers) and one or more independent variables (in this case, number of weeks). Assuming a linear relationship between weeks and the height of the sunflowers, we want to fit a linear equation (like the given options) that represents this correlation, minimizing the distance between the data points and the line.
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At 6: 00 a.m., Buffalo, NY had a temperature of 10℉. At noon, the temperature was −10℉, and at midnight it was −20℉.
write a statement comparing -10 and -20
Answer:
It got colder Because some nights it gets colder?
8. sin 38 = x/16 what does x equal
2.375
Answer:
if the slash (/) is dividing then your answer would be
608
if the slash (/) means to multiply your answer would be
2.375
Step-by-step explanation:
if you were dividing then you have to do the opposite equation.In this case the opposite of dividing is multiply. Multiply the numbers you have then it will give your missing factor.
(Same goes with multiplying)
The base diameter and the height of a cone are both equal
to x units
Which expression represents the volume of the cone, in
cubic units?
Pix^2
Answer:
1/3 times x squared divided by 4 times pi times x.
Step-by-step explanation:
Hope this helps!
Which points are on the graph of g(x)=(1/5)^x ? Select each correct answer. (3, 1/125) (−2, 1/25) (1, 0) (−1, 5)
Answer:
(3,1/125) and (-1,5)
Step-by-step explanation:
plug in the first coordinate (x-coordinate) in each pair for x in the original equation and the second coordinate (y-coordinate) for g(x)
Have three witches each holding a broom and a spoon. Witches say witch plus witch plus witch =45. Three brooms say broom plus broom plus a broom =21 and three spoons say spoon plus spoon plus spoon = 12 then final question is a plain witch plus broom x spoon equal a ? What’s answer?
Answer:
Either 43 or 88
Step-by-step explanation:
45/3 = 15 (one witch)
21/3 = 7 (one broom)
12/3 = 4 (one spoon)
PEMDAS:
Equation: 15 + 7 x 4
if there are parenthesis and the equation looks like:
(15 + 7) x 4
the answer is 88.
if there is NOT parenthesis and the equation looks like:
15 + 7 x 4
the answer is 43.
Answer:
31
Step-by-step explanation:
witch with spoon and wand equals 15 each...wand = 7 spoon =3
Does someone knows the correct answer?? I think is d but I don’t know
Answer:
I think you are right
Step-by-step explanation:
Answer:
YES I AM PRETTY SURE ITs :D GOOD LUCK HAVE A GREAT DAY
Step-by-step explanation:
Genevieve works on her scrapbook from 11:27 am to 11:58 am. How many minutes does she work on her scrapbook
Answer:
31
Step-by-step explanation:
time is tricky due to the 60 minute interface. In those questions add to the lower number until you hit a rounded number.
Fortunately you don't need to use this in this problem, and can just subtract 58-27 to get 31
Find the value of x
Options being
A) 27
B) 4
C) 2
D) 8
Answer:
B
Step-by-step explanation:
81 = 9 × 9 = 3 × 3 × 3 × 3 = [tex]3^{4}[/tex]
Thus the [tex]\sqrt[4]{81}[/tex] = [tex]\sqrt[4]{3^{4} }[/tex] = 3
Hence x = 4 → B
Plz plz plz this is due today and I really need help
Answer:
The y-intercept is (0, 34).
I used Demos graphing calculator and included an image of what values I put in.
Which complex number is equivalent to (5 + 12i) − (9i2 − 6i), where i =
−1
?
Answer:
14 + 18i
Step-by-step explanation:
[tex](5 + 12i) - (9 {i}^{2} - 6i) \\ = (5 + 12i) - (9 \times (- 1) - 6i) \\ = (5 + 12i) - ( - 9 - 6i) \\ = (5 + 12i) + ( 9 + 6i) \\ = 5 + 12i + 9 + 6i \\ \red { \bold{ = 14 + 18i}}[/tex]
Answer: It's 14+18i I got a correct
PLEASE HELP ME OUT I NEED HELP ASAP!!!!!!!
Answer:
c
Step-by-step explanation:
when you add the same number to the previous number it forms a straight line
The polynomial p(x) = x^3 - 21x - 20 has a known factor of (x-5). Rewrite p(x) as a product of linear factors.
Answer:
p(x) = (x - 5)(x + 1)(x + 4)
Step-by-step explanation:
Using Synthetic division to find the quotient on dividing p(x) by (x - 5)
5 | 1 0 - 21 - 20 ← 0 to represent the coefficient of x² term
5 25 20
-----------------------
1 5 4 0 ← remainder is zero
quotient = x² + 5x + 4 = (x + 1)(x + 4)
p(x) = (x - 5)(x + 1)(x + 4)
The polynomial p(x) = x^3 - 21x - 20 can be written as a product of linear factors as follows;
(x-5) (x+4) (x+1).
According to the question, the polynomial, p(x) = x^3 - 21x - 20 has a known factor of (x- 5).
To further factorise this polynomial such that it becomes a product of linear factors, we must first, perform the long division of x³ - 21x - 20 divided by (x-5).The polynomial long division is as in the image attached;
The result of the division of x³ - 21x - 20 by (x-5) yields;
x² + 5x + 4.The expression, x² + 5x + 4 can however be further factorised so that we have;
x² + 5x + 4 = (x+4) (x-1)Ultimately, the polynomial p(x) = x^3 - 21x - 20 can be written as a product of linear factors as follows;
(x-5) (x+4) (x+1).
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PLS HELP ME IF YOU WANT A BRAINLIEST IM DOING THIS NOW and IDU, Students from Williams Middle School are also recycling aluminum cans. The data for the numbers of cans brought in each school day for a month were divided by quartiles and summarized in the box plot. Use the drop-down menus to choose the median, interquartile range, and range.
>Median:
>Interquartile range:
>Range:
Answer: Median: 18
Interquartile range: 4
Range: 18
Step-by-step explanation: The median line is at 18, the interquartile range is the difference between the ends of the box, 20 - 16 = 4. The range is the difference between the ends of the line, 28 - 10 = 18. Let's take a look at how the data can be compared, from the two schools using the box plot.
From the information provided, it is clear that the
Median = 18Interquartile range = 4Range = 18How do we arrive at the following above?By observation, the median line is at 18. Note that the median of a distribution is the quantity that lies at the midpoint of a frequency distribution.
The interquartile range is the variance between the quantity at the end of the box, 20 - 16 = 4. The interquartile range (IQR)is defined as the mid 50% of the values in distribution when arranged from the lowest to the highest.
The range is defined as the difference between the quantities at the terminal points of the line. Hence, 28 - 10 = 18.
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shape 2
shape 1
8
10
12
14
16
Shape 1 and shape 2 are plotted on a coordinate plane. Which statement about the shapes is true?
A.
Shape 1 is congruent to shape 2, which can be shown using a sequence of dilations and translations.
B.
Shape 1 is not congruent to shape 2 because the shapes do not have the same absolute coordinates.
C.
Shape 1 is congruent to shape 2, which can be shown using a translation
D.
Shape 1 is not congruent to shape 2 because a sequence of rigid transformations will not map shape 1 ontos
Answer:
a)shape 1 is congruent to shape 2 which can be shown using a sequence of dilutions and translations
What is the maximum recommended slope for straight-run stair?
A) 7-1/2" riser, 10" tread
B) 7' riser, 10" tread
C) 7-3/4" riser, 10-1/2" tread
D) 10" riser, 7-1/2" tread
Tessa bought stock in a restaurant for $238.00. Her stock is now worth $330.82. What is the percentage increase of the value of Tessa's stock?
Answer:
39%
Step-by-step explanation:
Old value = $238.00
New value = $330.82
Change in value = New value - old value
= $330.82 - $238.00
= $92.82
percentage increase = Change in value/ old value * 100
= 92.82 / 238 * 100
= 0.39 * 100
= 39%
Arrange these numbers from least to greatest: -2.5, 2/5, 5/2, -5.2
Answer:
-5.2, -2.5, 2/5, 5/2
Step-by-step explanation:
Arrange it
How many centimeters is Campsite 3 from the canoe rental office?
Answer:
hi
Step-by-step explanation:
u need to give more information plz thanks
Answer:5 centimeterts
Step-by-step explanation:it right
Consider triangle ABC and triangle ACD in the diagram below. Which of the following complete the proof above?
Options
- AB =AD
- AC=AC
- AC=BD
- BC=DC
Given:
AC is perpendicular bisector of BD
AB ≅ AD
To prove:
ΔABC ≅ ΔACD
Solution:
In triangle ABC and triangle ACD,
Step 1: Given
AC is perpendicular bisector of BD and
AB ≅ AD (Side)
Step 2: By perpendicular bisector definition,
BC ≅ CD (Side)
Step 3: By reflexive property,
AC ≅ AC (Side)
Step 4: By SSS congruence criterion,
ΔABC ≅ ΔACD
Hence proved.
Answer:
BC=DC
Step-by-step explanation:
I did the test yourself and got it right :)
A pot of piping hot stew has been removed from the stove and left to cool.
The relationship between the elapsed time, m, in minutes, since the stew was removed from the stove, and the
temperature of the stew. T(m), measured in C is modeled by the following function.
T(m) = 20 + 50 - 10-0.0477
How many minutes will it take for the stew to cool to a temperature of 30°C?
Round your answer, if necessary to the nearest hundredth.
minutes
Answer: 17.47 minutes
Step-by-step explanation:
To find the number of minutes it will take for the stew to cool to a temperature of 30°C, solve the given nonlinear equation or graph it to find the intersection point.
Explanation:The given function that models the relationship between the elapsed time, m, in minutes, and the temperature of the stew, T(m), is:
T(m) = 20 + 50 - 10^(-0.0477m)
To find the number of minutes it will take for the stew to cool to a temperature of 30°C, we need to solve the equation:
30 = 20 + 50 - 10^(-0.0477m)
By isolating the unknown variable, m, we can solve for it using logarithms or graphing. However, since the equation is nonlinear, graphing is a more intuitive approach. Graph the equation and find the x-coordinate at which the graph intersects with the y-coordinate 30. This value of m will give you the number of minutes it will take for the stew to cool to 30°C.
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I will give you a Brainly crown if it is right. Will you help me
Answer: 811.2
Step-by-step explanation:
Factor each trinomial completely.
4x^2 - 25b^2 and x^2 - 81
Step-by-step explanation:
4x2 - 25b2
We can solve it by the squares so
(2x - 5b) (2x + 5b)
2) x2 - 81
The same case is here so
(x - 9) (x + 9)
The factorization of the trinomial are;
a. 4x² - 25b² = (2x + 5b)(2x - 5b)
b. x² - 81 = (x + 9)(x - 9)
What is the factorization of the trinomial?To factor the trinomial 4x² - 25b², we can use the difference of squares formula, which states that a² - b² can be factored as (a + b)(a - b).
Applying this formula to 4x² - 25b², we have:
4x² - 25b² = (2x)² - (5b)²
Now, we can rewrite the trinomial as a difference of squares:
4x² - 25b² = (2x + 5b)(2x - 5b)
Therefore, the trinomial 4x² - 25b² can be factored as (2x + 5b)(2x - 5b).
To factor the trinomial x^2 - 81, we can use the difference of squares formula once again:
x² - 81 = x² - 9²
This can be written as a difference of squares:
x² - 81 = (x + 9)(x - 9)
Thus, the trinomial x² - 81 can be factored as (x + 9)(x - 9).
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Larry is building a frame around a rectangular picture. He will need 46 inches of wood to do the entire frame. If the frame is 13
inches long, how wide is the frame?
A. 10 inches
B. 23 inches
C. 8 inches
D. 20 inches
Answer:
Step-by-step explanation:
is 8, 10, 12 a Pythagorean Triples ?
Answer:
No
Step-by-step explanation:
You use the formula a^2 + b^2= c^2. The biggest number is c.
So 8 ^2 + 10^2 has to equal 12^ 2
64 + 100= 144
164=144
That is not true.
Answer:
No, they are not
Step-by-step explanation:
If you simplify all 3 numbers, you get 4, 5, 6
If you graph the triangle on graph paper, it wouldn't work and there would be a gap.
3, 4, 5 triangles do work though!