When the current mortgage rates are high and expected to drop in the near future, the loans that will be gotten is one that has C. variable rate.
What is mortgage?It should be noted that a mortgage simply means a loan that's made by a bank to purchase a house.
In this case, the current mortgage rates are high and expected to drop in the near future, the loans that will be gotten is one that has a variable rate. This is because once the mortgage rate decreases, one will pay a lesser amount.
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Make x the subject of the formula.
y = √x² +1
Answer: x = [tex]\sqrt{y^2 -1}[/tex]
Step-by-step explanation:
Write a paragraph summarizing the data set , 12,13,14,15,16,17,18,19,20,21,22,23,24,25. Included unit measure,the number of data , the shape of the distribution, value of appropriate measure of center , value of appropriate measure of spread
The number of observation given in the following data set 14. This is also called the size of the population.
What is the description for the above data?It is important to note that the above data possess the minimum value of 12 and the maximum value of 25. As indicated in the attached image, the data set is normally distributed.
The measures of central tendency are given as follows;
Median = 18.5; Mean = 18.5Standard Deviation = 4.03112887Variance = 16.25Mid Range = 18.5The quartiles are given as follow:Q1 --> 15
Q2 --> 18.5
Q3 --> 22
IQR = 7
Mean Absolute Deviation (MAD) = 3.5
Min = 12
Max = 25.
It is to be noted that the above indictors are called Descriptive Statistics.
What is the purpose of descriptive statistics?
The features of a sample or data set, such as a variable's mean, standard deviation, or frequency, are described or referred to as descriptive statistics.
We can better grasp a data sample's constituent parts by using inferential statistics.
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What’s 98 divided by 82 + 283 multiplied by 69 - 29
The solution to the given expression [98/(82 + 283)] * (69 - 29) is; 784/73
How to solve simple arithmetic operations?
We want to solve the expression;
[98/(82 + 283)] * (69 - 29)
Let us first simplify the first part which is;
98/(82 + 283) = 98/365
Then let us simplify the second part which is;
69 - 29 = 40
Thus, we have the expression;
(98/365) * 40
This can be simplified further to get;
(98/73) * 8 = 784/73
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In geometry, Heron's formula (sometimes called Hero's formula), named after Hero of Alexandria, gives the area of a triangle by requiring no arbitrary choice of side as base or vertex as origin, contrary to other formulas for the area of a triangle, such as half the base times the height. Use Heron's formula to find the area, in square meters, of ΔABC.
a=7m, b=5m, c=6m
Answer: S=6√6 m².
Step-by-step explanation:
Heron's formula
[tex]\displaystyle\\\boxed {S=\sqrt{p*(p-a)(p-b)(p-c)} }[/tex],
a, b, c - sides of a triangle,
[tex]\displaystyle\\p=\frac{a+b+c}{2}[/tex]
S - triangle area.
a=7 m, b=5 m, c=6 m.
[tex]p=\frac{7+5+6}{2} \\p=\frac{18}{2} \\p=9 (m).[/tex]
Hence,
[tex]S=\sqrt{9*(9-7)*(9-5)*(9-6)}\\S=3*\sqrt{2*4*3}\\S=3*2*\sqrt{2*3} \\S=6\sqrt{6} \ (m^2).[/tex]
Lowest common multiple of 12,18,56
Step-by-step explanation:
12 = 2 × 2 × 3
18 = 2 × 3 × 3
56 = 2 ×2 × 2 × 7
Now
Common factor = 2
Remaining factor = 2 × 3 × 2 × 3 × 7
LCM = RF × CF
= 504
hence the lCM of 12 , 18 and 56 is 504...
[tex]...[/tex]
f(x) = x² + 5x-1 is shifted 3 units right. The result is g(x). What is g(x)?
O A. g(x) = (x+3)² + 5x-1
OB. g(x)=x2 + 5x+2
C. g(x) = (x+3)2 +5(x + 3) - 1
D. g(x) = (x-3)2 + 5(x-3) -1
Answer:
D
Step-by-step explanation:
When a function is being shifted to the left, all x values will be added by y units shifted. (The constant that comes with x is excluded, eg. 3x shifted by 2 units left, becomes 3(x+2) and not 3x+2.)
Likewise, when a function is being shifted to the right, all x values will be subtracted by y units shifted. (Constant rules applies as well.)
Given f(x) is shifted 3 units right,
the new function, g(x) becomes:
[tex] g(x) = {(x - 3)}^{2} + 5(x - 3) - 1[/tex]
Therefore the answer is D in this case.
Salma invests the following sums of money in common stocks having expected returns as follows: a. what is the expected return (percentage) on her portfolio
Calculate the total amount invested by summing up all the values of the investment.
Total = 50,000
Calculate the weight of each investment. For WOOPS, weight = 5000 / 50000 = 10% and so on.
Now, Expected Return = sum of weight x Returns = 10% x 0.14 + 20% x 0.16 + ... + 18%x 0.18 = 16.01%
b) Similarly,
Beta of the portfolio = sum of weight x beta = 10% x 0.6 + 20% x 0.8 + ... + 18% x 0.18 = 0.7605
c) Portfolio has less systematic risk as the beta for the average market is 1, which is above the portfolio
d) Using CAPM, Return = Rf + beta x (Rm - Rf) = 4% + 0.7605 x (14% - 4%) = 11.605%
To calculate the expected return of a portfolio, the investor needs to know the expected return of each security in the portfolio and the total weight of each security in the portfolio. This means that investors need to sum the weighted averages of the expected returns (RoRs) of each security.
Investors are based on estimates of the expected rate of return on securities, assuming that what has proven to be true in the past will be true in the future. Investors do not use the structural view of the market to calculate the expected return. Instead, it determines the weight of each security in the portfolio by dividing the value of each security by the total value of the security.
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A 4-column table with 3 rows. The first column has no label with entries students, teachers, total. The second column is labeled wear glasses with entries 32, 4, 36. The third column is labeled do not wear glasses with entries 97, 2, 99. The fourth column is labeled total with entries 129, 6, 135.
Which statements are correct about the two-way frequency table? Check all that apply.
The correct statements about the two-way frequency table are:
Option C, and Option E.
According to the statement
we have to check that the given statement is applicable or not on the given conditions.
So, For this purpose
The two-way frequency table is
In Mathematics and statistics, A two-way frequency table is a tabular method for displaying relative data for two categories of variables. (See the attached).
the given options are:
Option A the row categories are "wears glasses"
Option B and "do not wear glasses."
Option C two teachers do not wear glasses.
Option D thirty-six students wear glasses.
Option E a total of 6 teachers were polled.
So, The correct statements about the two-way frequency table are:
Option C, and Option E.
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Answer: the corret answer is A, C and E
The binomial x + 11 is a factor of x^2 – 121. What is the other factor?
Answer:
x - 11
Step-by-step explanation:
Lena knows the following information about her box of 181818 candies:
10 candies contain both chocolate and caramel.3 candies contain neither chocolate nor caramel.12 candies in total contain chocolate. Can you help Lena organize the results into a two-way frequency table?
See below for the organized result in a two-way frequency table
How to organize the results?The given parameters are:
Candies = 18
Chocolate and Caramel = 10
None = 3
Chocolate = 12
Using the above parameters, we have the following rows and columns:
Chocolate
Present Absent Total
Caramel Present
Absent
Total
Next, we populate the table as follows:
Chocolate
Present Absent Total
Caramel Present 10 3
Absent
Total 12
The total number of candies is 18.
So, we have:
Chocolate
Present Absent Total
Caramel Present 10 3 13
Absent
Total 12 6 18
Subtract the cells from the column total
Chocolate
Present Absent Total
Caramel Present 10 3 13
Absent 2 3 5
Total 12 6 18
The above represents the organized result
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find the y intercept of the line on the graph
Which expression is equivalent to 144 3/2
Answer:
144=12², so 144^3/2=(12²)^(3/2)=12³=1728.
this answer is not from the internet
go check yourselves
mark me brainliest
1. The length of a rectangle is four
times its width. If the area is 100m
what is the length of the rectangle
Answer:
20m
Step-by-step explanation:
write a equation duh
x * 4x = 100
u can split 100 into 5 x 20
x * 4x = 5 * 20
x = 5
and 4x = 20
Vertical plane R intersects horizontal plane P. Points A, D, and B are on the line of the intersecting planes. Point F is on the top half of plane R. Point G is on the bottom half of plane G. Point C is on the left half of plane P. Point E is on the right half of plane P. Point H is above and to the right of the planes. Point J is below and to the left of the planes. Which statements are true based on the diagram? Check all that apply. Points A, B, and D are on both planes. Point H is not on plane R. Plane P contains point F. Points C, D, and A are noncollinear. The line containing points F and G is on plane R. The line containing points F and H is on plane R.
The true statement about the plane include:
Points A, B, and D are on both planes. Point H is not on plane R.The line containing points F and G is on plane R.The line containing points F and H is on plane R.What is a vertical plane?It should be noted that a vertical plane simply passes through a vertical line.
In this case, Point H is not on plane R and the e line containing points F and G is on plane R.
The correct options are 1,2,4, and 5.
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Answer:
a,b,d,e
Step-by-step explanation:
Fill in the coefficients for the polynomial with degree 3, roots: x = 2, X =
-1, and x = 3, and with a leading coefficient of 1
The coefficients for the polynomial with degree 3, roots: x = 2, x =
-1, and x = 3, and with a leading coefficient of 1 is given as -4 and 6. Hence, the polynomial turns out as x³ + (-4)x² + x + 6.
It is given that the polynomial is of degree 3 and its roots are,
x = 2
x = -1
x = 3
Thus, the factors of the polynomial would be,
(x - 2), (x + 1), and (x - 3)
The polynomial an be written in terms of its factors, with a leading coefficient of 1, as follows,
(x - 2)(x + 1)(x - 3)
= (x² -2x + x -2)(x - 3)
= (x² -x -2)(x - 3)
= x³ - 3x² - x² + 3x - 2x + 6
= x³ - 4x² + x + 6
= x³ + (-4)x² + x + 6
Hence, the required coefficients of the polynomial are, (-4) and 6.
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It takes you two and a half hours to drive 175 miles. how fast were you driving? (mph)
If one travels 175 miles in 2hour 30 mins then his speed is 70 mph .
Calculation of the speedDistance travels= 175 miles
time is taken to cover 175 miles = 2.5 hours
We have to find out the speed in mph.
We know that,
Distance = speed x time
⇒speed = distance / time
Putting the value of distance and time, we get:
speed = 175 / 2.5 = 70 mph
Hence the final answer is 70 mph.
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Write the algebraic expression for the difference between the squares of two numbers.
The algebraic expression for the difference between the squares of the two numbers, supposing the two numbers to be a and b, is
a² - b² = (a + b)(a - b).
An algebraic expression is a combination of terms, where the terms are separated using mathematical operators like plus (+), minus (-), multiply (*), and divide (/).
The terms are combinations of numerals and variables.
Variables are represented alphanumerically, which can hold any value as per the expression they are used in.
In the question, we are asked to write the algebraic expression for the difference between the squares of two numbers.
We assume the two numbers to be a and b respectively.
Thus, we are asked to write an expression for the difference between the square of a and square of b, that is, we are asked to write an expression for a² - b².
We know that a² - b² is an identity, which can be shown as (a + b)(a - b).
Thus, the algebraic expression for the difference between the squares of the two numbers, supposing the two numbers to be a and b, is a² - b² = (a + b)(a - b).
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What is the tax due for a single taxpayer reporting a taxable income of $65,725?
The tax due for the single taxpayer whose income is as described is; $14,459.5.
What is the tax due for the single taxpayer?It follows from the task content that the tax due for a single taxpayer whose taxable income is; $65,725 is to be determined.
Since, the taxable income falls between the range; $40,526 to $86,375, 22% of the income is the tax due and hence, the tax due can be evaluated as follows;
= (22/100) × $65,725
= 14,459.5
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Solve the following for x, x∈W
a) 76 x 75 x 74 x ... x 6 = P(76, x)
The required value is 70. Using the permutations formula the required value is calculated. I.e., P(76, x) = P(76, 70).
How to calculate permutations?The formula for permutations is
nPr = P(n, r) = n!/(n - r)!
Where P -number of permutations,
n - number of objects in the given set
r - number of choosing objects
Calculation:The given series is
76 × 75 × 74 × ... × 6 = P(76, x)
We know that,
76! = 76 × 75 × 74 × ... × 1 ...(i)
But to get the required series,
Divide the equation (i) by 6! = (76 - 70)!
Then,
76!/(76 - 70)! = 76 × 75 × 74 × 73 ... × 6
So, x = 70.
That is,
n!/(n - r)! = P(n, r)
⇒ 76!/(76 - 70)! = P(76, 70) = 2.618743E+108
Hence the required x value is 70.
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A popular roller coaster ride lasts 10 minutes. There are 20 people on average on the roller coaster during peak time. How many people are stepping onto the roller coaster per minute at peak time
There are 2 people are stepping onto the roller coaster per minute at peak time
According to statement
Given Flow time = 10 minutes.
Given Inventory = 20.
We use the formula then
I = R × T,
Therefore R = I / T.
Substitute the values in formula then
Flow rate = 20 / 10 = 2 people per minute.
So, There are 2 people are stepping onto the roller coaster per minute at peak time
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12.5% of a number is 25, find the number
Answer:
200
Step-by-step explanation:
Let's call the number x :
12.5% of x = 25
Changing 12.5% into decimal would be 0.125
Now we have the equation :
0.125x = 25
Divide both sides by 0.125 to make x the subject :
x = 25 ÷ 0.125
x = 200
To check we can substitute this value into the question :
12.5% of 200 = 25
Hope this helped and have a good day
The function f(x) = 0.11(3)x is reflected over the x-axis to produce function g(x). Function g(x) is then reflected over the y-axis to produce function h(x). Which function represents h(x)?
h(x) = –0.11(3)x
h(x) = 0.11(3)–x
h(x) = 0.11(3)x
h(x) = –0.11(3)–x
Answer:
[tex]h(x)=-0.11(3)^{-x}[/tex]
Step-by-step explanation:
Given function:
[tex]f(x)=0.11(3)^x[/tex]
Reflection in the x-axis:
When reflecting a function in the x-axis, make the whole function negative:
[tex]\implies g(x)=-f(x)[/tex]
[tex]\implies g(x)=-0.11(3)^x[/tex]
Reflection in the y-axis:
When reflecting a function in the y-axis, make the x variable negative:
[tex]\implies h(x)=g(-x)[/tex]
[tex]\implies h(x)=-0.11(3)^{-x}[/tex]
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Answer:
the answer to this question is d
Step-by-step explanation:
h(x)=-0.11(3)^-x
Find the equation of the line that passes through (-1,2) and is perpendicular to y =2x+1 . Leave your answer in the form y = m x + c
5 circles are shown. Circle D has a secant with length 12. Circle E has a radius with length 6. Circle H has a secant with length 6. Circle F has a diameter with length 12. Circle G has a diameter with length 12.
Circle A has a radius of 6. Which circles are congruent to circle A? Check all that apply.
circle D
circle E
circle F
circle G
circle H
The circle E, circle F and circle G are the circles which are congruent (similar) to the circle A has a radius of 6.
Let us discuss about the structure of each circles.
Circle DThe circle D has the secant with the length 12. The secant means the straight line joining two points on the circle. So, we can't conclude that the secant will always be the diameter. Hence, it has different shape compared to circle A.
Circle EThe circle E has the radius with length 6. The radius is same as the radius of the circle A. So, it is similar to the circle A.
Circle HThe circle D has the secant with the length 6. Similar to the condition of circle D, it is not congruent to circle A.
Circle FThe circle F has the diameter with length 12. Which means, the radius of this circle is with length 6. Hence, it is similar to the circle A.
Circle GThe circle G has the diameter with length 12. Which means, the radius of this circle is with length 6. Hence, it is similar to the circle A.
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Answer:
Circles E and F are congruent to circle A
A construction company buys a certain number of boxes of nails depending on how many houses they plan to build in a year. They have 5 boxes left over from the previous year and predict that this year they will need 3 boxes per house. Write an equation where y represents the number of boxes they need to purchase and x the number of houses they plan to build.
Answer:
Step-by-step explanation:
43
I dont exactly know if this is correct sorry if its wrong
Pls help with b
The diameters of two circular pulleys are 6cm and 12 cm, and their centres
are 10cm apart.
a. Angle a = 72.54 degrees
b. Hence find, in centimetres correct to one decimal place, the length of a
taut belt around the two pulleys
The length of a taut belt around the two pulleys is 79.3 cm.
Length around the pulley
The length of a taut belt around the two pulleys is calculated as follows;
Shapes formed within the two circles of the pulley.
From top to bottom, a rectangle, a right triangle and a trapezium.
Length of the rectangleThe height of the right triangle is equal to length of the rectangle
base of the right triangle = radius of big circle - radius of small circle
base of the right triangle = (0.5 x 12 cm) - (0.5 x 6 cm) = 3 cm
tan α = height/base
tan (72.54) = h/3
h = 3 tan(72.54)
h = 9.54 cm
Length of trapezium at bottomThe length of the trapezium at bottom is equal to length of rectangle at top, L = h = 9.54 cm
Angles and length of belt in each circlePortion of belt in contact with circumference of small circle is subtended by an angle = 2 × 72.54 = 145.08°
Length of belt in contact with circumference of smaller circle
= 2πr (θ/360)
= (2 x 6 cm)π x (145.08/360)
= 15.19 cm
Portion of belt in contact with circumference of big circle is subtended by an angle = 360 - 145.08° = 214.92⁰
Length of belt in contact with circumference of smaller circle
= 2πr (θ/360)
= (2 x 12 cm)π x (214.92 / 360)
= 45.01 cm
Length of a taut belt around the two pulleys= 9.54 cm + 9.54 cm + 15.19 cm + 45.01 cm
= 79.28 cm
= 79.3 cm
Thus, the length of a taut belt around the two pulleys is 79.3 cm.
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Choose the equation that satisfies the data in the table.
Answer:
Option A.
Step-by-step explanation:
Demonstration
[tex]y=\frac{7}{4} x+7[/tex]
for x = -4
[tex]y=\frac{7}{4} (-4)+7=-\frac{28}{4} +7=-7+7=0[/tex]
for x= 0
[tex]y=\frac{7}{4}(0) +7=0+7=7[/tex]
for x= 4
[tex]y=\frac{7}{4} (4)+7=\frac{28}{4} +7=7+7=14[/tex]
Hope this helps
On a balance scale, $3$ green balls balance $6$ blue balls, $2$ yellow balls balance $5$ blue balls, and $6$ blue balls balance $4$ white balls. How many blue balls are needed to balance $4$ green, $2$ yellow and $2$ white balls
The number of blue balls that are needed to balance four green, two yellow and two white balls is 16 blue balls.
Numbers of blue balls neededGreen(g)
Blue (b)
Yellow (y)
White (w)
First step is to formula an equation
3g=6b
g=2b
2y=5b
y=5/2b
4w=6b
w=3/2b
Second step is to substitute
4g+2y+2w
=4(2b)+2(5/2b)+2(3/2b)
=8b+5b+3b
=16b
Therefore 16 blue balls are needed.
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Jenna’s method: mia’s method: 5(30 4) 5(30 4) (5)(30) (5)(4) 5(34) = 170 150 20 = 170 explain why both jenna and mia arrived at the same answer and the advantage of one method over the other.
The steps in Mia's method were smaller than in Jenna's, which was an advantage.
What is distributive property and direct calculation?The same result will be obtained by adding the products of multiplying the sum of two or more addends by a number as opposed to multiplying each addend separately by the number.
The direct algorithm process suggested in this paper is known as the direct calculation method (DCM), and it can deal with using confinement loss as an incremental step to simulate the effect of moving tunnel face excavation, calculating the stresses and displacements in each step, and drawing the results.
Jenna's technique:
[tex]\begin{aligned}&5(30+4) \\&=(5)(30)+(5)(4) \\&=150+20 \\&=170\end{aligned}[/tex]
Mia's technique:
[tex]\begin{aligned}&5(30+4) \\&=(5)(34) \\&=170\end{aligned}[/tex]
Find: What was the benefit of using one method over the other and why did Jenna and Mia arrive at the same conclusion?Future:Both used the right approach, albeit in different ways.
One uses the distributive property, whereas the other uses direct calculation.
Consequently, Jenna and Mia came to the same conclusion.
However, Mia's approach has one advantage over Jenna's: it requires fewer steps.
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335cm rounding off to the
nearest
Answer:
nearest what?
Step-by-step explanation:
nearest tens's=340
nearest hundred's=300