The monthly payment become $852. Thus , option C is correct option.
According to the statement
We have to find that the monthly repayment.
So, For this purpose, we know that the
The monthly payment is the amount paid per month to pay off the loan in the time period of the loan.
From the given information:
You have decided to buy a new home and the bank offers you a 30 year fixed loan at 5.5% on a balance of $150,000.
Then
we know that the:
Monthly payment = Amount / discount factor
And discount factor = 1-(1+i)^-n / i
Then
M = A*i/1-(1+i)^-n
Where, A=$150000
r=5.5%=0.055
i = 0.555/12
i = 0.004
And t = 30 year
n = 30*12
n = 360
Substitute all the values,
M = 150000*0.004/ 1-(1+0.004)^-360
M = 687.5 / 1-0.192
M = 687.5 / 0.80722
M = 851.7
Approximately, Monthly payment is $852.
So, The monthly payment become $852. Thus , option C is correct option.
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Use what you know about scientific notation to write the number -20,000 with a power of 10.
- 20,000
- 20,000=
(Type your answer in scientific notation using the appropriate symbol from the math palette for any multiplication.)
Help me solve this View an example Get more help.
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The scientific notation to write the number -20,000 with a power of 10.
The scientific notation to write the number -20,000 with a power of 10 is -2 ×10⁴.
Given that
The number is -20,000To find
We have to find the scientific notation form of number -20,000So, according to the question
We have
The number = -20,000For finding the scientific notation form of given number, first we have to know about scientific notation with a power of 10.
Scientific notation with a power of 10
To write any number with the help of power of 10 in very easy way is telling Scientific notation with a power of 10 . Because in that universe there is a lots of smallest and largest number present, so we can't write every numbers in single page. To write that numbers in very easy way the scientists was create a way to write that numbers with the help of power of 10.
So, now we can convert that number in a form of Scientific notation.
n = -20,000
Now multiply [tex]\frac{10^4}{10^{4}}[/tex], we will get
n = -20,000 × [tex]\frac{10^4}{10^{4}}[/tex]
n = [tex]\frac{-20,000\times 10^4}{10000}[/tex]
n = - 2× 10⁴
The scientific notation with the power of 10 form of -20,000 is - 2× 10⁴.
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Use the associative property of addition to rewrite (9+12)+20
Answer:
41
Step-by-step explanation:
Use the associative property of addition to rewrite 9+12+20 .
20+(11+5
Is a way to rewrite the associative property of 9+12(+20)
Solve.
13. A rectangular picture frame has the dimensions shown in
the figure. Write a polynomial that represents the perimeter
of the frame.
5x-2
3x+1
Answer:
(5x-2)^2+(3x+1)^2
Step-by-step explanation:
Evaluate each expression if x is 2/5, y is -4, and z is -0.2. Then match each expression with the correct answer.
A) 1x + y + z
B) 1 x + y + z
C) 2(y)(x)
D) 2 (y)(x)
E) 32x - z
F) 3 2x - z
G) 4x + y
The expressions evaluated for the given values of x, y, and z, and matched to the values are
1x + y + z → -3.8
2(y)(x) → -3.2
32x - z → 13
4x + y → -2.4
Evaluating an expressionFrom the question, we are to evaluate the given expressions for the given values of x, y and z
The given values of x, y, and z are
x = 2/5, y = -4, and z = -0.2
A. 1x + y + z
1(2/5) + (-4) + (-0.2)
2/5 - 4 - 0.2
0.4 - 4 - 0.2
= -3.8
C) 2(y)(x)
2(-4)(2/5)
-8(0.4)
= -3.2
E) 32x - z
32(2/5) - (-0.2)
32(0.4) + 0.2
12.8 + 0.2
= 13
G) 4x + y
4(2/5) + (-4)
4(0.4) - 4
1.6 - 4
= -2.4
Hence, the expressions evaluated for the given values of x, y, and z, and matched to the values are
1x + y + z → -3.8
2(y)(x) → -3.2
32x - z → 13
4x + y → -2.4
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Please please please please please please please please please help me I don’t know this question asking questions like this like I’m in high school
Answer:
Multiplication -- > 6 × 3 - 8
Division --> (4 + 3)/2
Subtraction --> 4 - 5 + 7
Addition --> 15 + 8 ÷ 4 - 6
Sohan and his sister ate 2/5 of 25 chocolates. How many chocolates they didn't eat?
Graph the image of the figure using the transformation given.
Captionless Image
last 3 pics are the options
The reflection of triangle WXY across the x axis gives the points W'(0, 1), X'(3, -3) and Y'(2, 1).
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, rotation, translation and dilation.
The reflection of a point across the x axis is given by the rule (x, y) ⇒ (x, -y). Triangle WXY have endpoints at X(3, 3), Y(2, -1) and W(0, -1).
The reflection of triangle WXY across the x axis gives the points W'(0, 1), X'(3, -3) and Y'(2, 1).
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Solve: 3⁴ × 3² × 3³
...............................
Answer:
19,683
Step-by-step explanation:
3⁴ × 3² × 3³
Solve the exponents
81 x 9 x 27
Multiply each number and you get
19,683
I watched ad still does not let me see answer!
Answer:
That's unfortunate. :(
Which expression is equivalent to -51-(-60)?
A -51 + 60
B -60+51
C -51 -60
D -60 + (-51)
transistors are used to build computer chips. The size of the earliest transistors
The number of times that the old transistor is bigger than the new ones in the computer is 1 × 10^6.
How to illustrate the information?It should be noted that the the side of the earliest form of transistors for computer was 1 × 10⁴.
Now, the size of the transistor today was illustrated as 1 × 10^-².
Therefore, the difference in size will be about:
= 1 × 10⁴ / 1 × 10^-²
= 1 × 10^6
Therefore, the number of times that the old transistor is bigger than the new ones in the computer is 1 × 10^6.
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Let [tex] \rm\hat{i}, \hat{j} \: and \: \hat{k} [/tex] be the unit vector along the three positive coordinate axes. Let [tex] \rm\overset{ \to}a = 3 \hat{i} + \hat{j} - \hat{k} ,\\ \rm \overset{ \to}b = \hat{i} + b_{2} \hat{j} + b_3\hat{k}, \: \: \: \: \: \: \: b_{2}, b_{3} \in \mathbb{R}, \\ \rm\overset{ \to}c= c_{1} \hat{i} + c_{2} \hat{j} + c_3\hat{k}, \: \: \: \: \:c_{1},c_{2}, c_{3} \in \mathbb{R}[/tex]
be three vectors such that [tex] \rm b_2b_3 > 0, \overset{ \to}a \cdot\overset{ \to}b = 0[/tex] and [tex] \left(\begin{gathered} 0& \rm - c_{3} & \rm c_{2} \\ \rm c_{3}& \rm 0 & \rm - c_{1} \\ \rm - c_{2}& \rm c_{1} & \rm 0 \end{gathered} \right) \left(\begin{gathered} 1 \\ \rm b_{2} \\ \rm b_3\end{gathered} \right) = \left(\begin{gathered} \rm3 - c_{1} \\ \rm 1 - c_{2} \\ \rm - 1 - c_3\end{gathered} \right)[/tex]
Then which of the following is true
[tex] \rm(1) \: \overset{ \to}a \cdot\overset{ \to}c = 0 \\ \rm(2) \: \overset{ \to}b \cdot\overset{ \to}c = 0 \\ (3) \: \overset{ \to}{| \rm b|} > \sqrt{10} \\(4) \: \overset{ \to}{| \rm c|} \leq \sqrt{11}[/tex]
Computing the matrix product in the last condition gives a system of linear equations in the components of [tex]\vec c[/tex],
[tex]\begin{cases} c_1 + b_3c_2 - b_2c_3 = 3 \\ -b_3c_1 + c_2 + c_3 = 1 \\ b_2c_1 - c_2 + c_3 = -1 \end{cases}[/tex]
and is easily solvable to get
[tex]c_1 = \dfrac{6-2b_3}{2+{b_2}^2+{b_3}^2}, c_2 = \dfrac{2+3b_3}{2+{b_2}^2+{b_3}^2}, c_3 = \dfrac{9-3b_3}{2+{b_2}^2+{b_3}^2}[/tex]
or, using the condition [tex]\vec a\cdot\vec b = 3 + b_2 - b_3 = 0[/tex],
[tex]c_1 = -\dfrac{2b_2}{11 + 6b_2 + 2{b_2}^2}, c_2 = \dfrac{11+3b_2}{11+6b_2+2{b_2}^2}, c_3 = -\dfrac{3b_2}{11+6b_2+2{b_2}^2}[/tex]
• (1) is false, since
[tex]\vec a \cdot \vec c = \dfrac{11}{2 + {b_2}^2 + {b_3}^2} \neq 0[/tex]
because [tex]{b_2}^2+{b_3}^2\ge0 \implies 0<\vec a\cdot\vec c\le\frac{11}2[/tex].
• (2) is true.
[tex]\vec b\cdot \vec c = \dfrac{(3 + b_2 - b_3) (2 + 3b_3)}{2 + {b_2}^2 + {b_3}^2} = \dfrac{(\vec a\cdot\vec b)(2+3b_3)}{2+{b_2}^2+{b_3}^2} = 0[/tex]
• (3) is false. The magnitude of [tex]\vec b[/tex] could be smaller than √10.
Since [tex]\vec a\cdot\vec b=0[/tex], we have
[tex]\|\vec b\| = \sqrt{1 + {b_2}^2 + (3+b_2)^2} = \sqrt{10 + 6b_2 + 2{b_2}^2}[/tex]
and
[tex]2{b_2}^2 + 6b_2 = 2\left({b_2}^2 + 3b_2 + \dfrac94\right) - \dfrac{18}4 = 2\left(b_2 + \dfrac32\right)^2 - \dfrac92 \ge - \dfrac92[/tex]
which is to say, [tex]\|\vec b\| \ge \sqrt{10-\frac92} = \sqrt{\frac{11}2}[/tex].
• (4) is true.
We have
[tex]\|\vec c\| = \dfrac{\sqrt{11} \sqrt{11 - 6b_3 + 2{b_3}^2}}{2 + {b_2}^2 + {b_3}^2}[/tex]
In terms of [tex]b_2[/tex] alone,
[tex]\|\vec c\| = \dfrac{\sqrt{11}\sqrt{11 + 6b_2 + 2{b_2}^2}}{11+6b_2+2{b_2}^2} = \dfrac{\sqrt{11}}{\sqrt{11+6b_2+2{b_2}^2}}[/tex]
Now,
[tex]11 + 6b_2 + 2{b_2}^2 = 2\left(b_2+\dfrac32\right)^2 + \dfrac{13}2 \ge \dfrac{13}2[/tex]
which means
[tex]\|\vec c\| \le \dfrac{\sqrt{11}}{\sqrt{11 + \frac{13}2}} \le \sqrt{11}[/tex]
Solve these absolute value equations.
18. |3р + 7| = 6p
The absolute value of the given statement is a -3/7 and 3/7.
According to the statement
We have to find that the value of the absolute equations.
So, For this purpose, we know that the
An absolute value function is a function that contains an algebraic expression within absolute value symbols.
From the given information:
|3р + 7| = 6p
And we know that the
If we want to solve equations with absolute values we must know we have to find the solution for both positive and negative values. This is because positive and negative values have a positive absolute value.
Then
|3р + 7| = 6p
6p - 3p = 7
3p = 7
Then
p = 3/7.
According to the absolute value the answer become -3/7 and 3/7.
So, The absolute value of the given statement is a -3/7 and 3/7.
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Sin^-1(x) when x=0.3
Solve by using limits (h—>0)
Answer:
please rate as brainliest
A recipe for one loaf of bread uses 2 cups of flour, 12
tablespoons of water, and 1 teaspoon of salt.
Complete the table to show the quantities needed to
make multiple loaves of bread,
Loaves
J
#11
4
Flour (cups)
2
Water (tbsp)
12
48
Salt (isp.)
1
Answer:
Flour 4) 8
Water 2) 24
Salt 2 - 4) 2 and 4
[tex]\bold{Table}[/tex] [tex]\bold{Rule:}[/tex]
[tex]x \times y = z[/tex]
[tex]\mathrm{where~"z"~is~the~next~value}[/tex]
URGENT!!⚠️
a local record store invested $400,000 in charitable trust fund so that they can offer scholarships to their employees. the interest rate is 4.2% compounded quarterly. how much interest is available from the trust fund for the scholarships each year?
Answer:
I am here to help!
Step-by-step explanation:
if it's each year won't the company have 168k?
Write the following number in decimal notation.
Four hundred twenty-seven thousandths
Writing Four hundred twenty-seven thousandths in decimal notations gives 0.0000023419
How to write Four hundred twenty-seven thousandths in decimal notationGiven data
Four hundred twenty-seven thousandths
Four hundred twenty-seven thousand is written in figures as follows
400 000 + 20 000 + 7 000 = 427000
Four hundred twenty-seven thousandths = 1 / 427000
using calculator gives
= 2.3419 * 10^-6 ( in standard form )
= 0.0000023419 ( in decimal notation)
what is decimal notations?This a term in mathematics used to refer to a way of rewriting numbers in fractions to decimal form. it consists of a value and a point, then the required numbers.
The point is called decimal point. Decimal notations is not used only for numbers less than one. So are numbers in fractions, numbers in decimal may be greater than one. However the question refers to number that is less than one.
The given number: Four hundred twenty-seven thousandth is written in fraction as: 1 / 427000
then from fraction we write the decimal notation using calculator or long division to get 0.0000023419.
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In which interval is the radical function f of x is equal to the square root of the quantity x squared 2 times x minus 24 end quantity increasing?
We get that the function f (x) = √ x² - 2 x - 24 is increasing at the interval [6, ∞).
A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.
We are given the function as:
f (x) = √ x² - 2 x - 24
From the graph, the function f (x) = √ x² - 2 x - 24 is increasing over the interval [6, ∞).
Therefore, we get that the function f (x) = √ x² - 2 x - 24 is increasing at the interval [6, ∞).
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The cost of 4 tables and 3 chairs is $695. If the table costs $25 more than the chair, find the cost of a
table.
Answer:
110 bucks
Step-by-step explanation:
4t+3c=695
c=t-25
4t+3(t-25)=695
7t=770
t=110
9x{[14÷2+(4‐1)]-8 can someone show step by step?
Answer:
82
Step-by-step explanation:
9 x {[14÷2+(4‐1)] - 8
9 x {[7 + (3)] - 8
9 x [7 + 3] - 8
9 x [10] - 8
90 - 8
82
I hope this helps!
Is -71/80 rational???????
It is rational because it is a fraction of two integers
-71 and 80 are those two integers
Answer:
Yes, it's rational because it's a fraction that terminates in decimal form.
What type of Solution is the product of 2x+1=2x+2
Answer: no solution
Step-by-step explanation:
An angle measure of 134.26° is converted to DMS notation as what
Angle measurement of 134.26° becomes 134° 15' 36" in DMS notation.
What is DMS notation?The standard way to express fractional parts of a degree is in decimal form or in minutes and seconds. The units of a degree are a minute (') and a second (′′). For degrees, minutes, and seconds, this form is frequently referred to as the DMS Form. Use the decimal's whole number portion for the degrees.Divide the final decimal by 60 to get the number of minutes. Use the answer's whole number component as minutes.The new decimal that is left after multiplying by 60 is the seconds.So, an angle measure of 134.26° is converted to DMS notation as:
= 134° 15' 36"(Refer the image given below for calculation)
Therefore, the angle measurement of 134.26° becomes 134° 15' 36" in DMS notation.
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The cost of purple dye has been increasing over the last few months, and Robyn uses this dye as part of her tie dye scarf business. She’s worried that it will continue to rise to the point where she no longer makes a profit on her scarf sales. She currently has a 20% profit margin ([price - unit costs]/price) and dye is currently 60% of unit costs. What is the lowest percentage increase in the cost of dye that would make Robyn’s scarves unprofitable?
The lowest percentage increase in the cost of dye that would make the scarves unprofitable is 42%
How to calculate the percentage?(Price- Unit Cost)/Price= 20% or 0.2
Price- Unit Cost= 0.2 Price
0.8 Price = Unit Cost
Let Unit Cost be x
Price = x/0.8= 1.25x
Dye is 60% of unit costs= 0.6x
Cost of remaining material= 1 - 0.6x = 0.4x
Unit Cost= Cost of Dye+ Cost of remaining material
So, in order to become unprofitable, Unit Cost must be 1.25x
Therefore
1.25x= Maximum cost of dye+ 0.4x
Maximum Cost of Dye = (1.25-0.4)x = 0.85x
Percentage change in cost of dye= {(0.85x-0.6x)/0.6x}*100= 41.66 or 42%
Therefore, theowest percentage increase in the cost of dye that would make the scarves unprofitable is 42%.
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Correct answer gets brainily!
The measure of ∠YZW is given as 180 degrees.
What is an angle on a straight line?
In the field of geometry, and in mathematics, the straight angle is one that is said to be equal to 180 degrees. That is, it is the angle that is called so based on the fact that it appears on a straight line. The sides of the angle are on separate positions compared to that of the vertex that appears also in a straight line.
Based on this explanation, we can see that ∠YZW appears on a straight line in the image that we have here.
Hence we would conclude by saying that The measure of ∠YZW is given as 180 degrees.
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4 is a rational number because it can be written as the fraction 4/1. True of false?
Answer:
true
Step-by-step explanation:
Use compatible numbers to estimate the whole number quotients 5320/61?
The whole number quotients of the expression; 5320/61 as required to be evaluated in the task content is; 88.
What is the best estimate of the whole number quotients of the expression; 5320/61 as given in the task content?It follows from the task content that the use of compatible numbers is to be used to estimate the whole number quotients 5320/61.
On this note, since the numbers can be written as follows;
= (53.2 × 100)/(0.61 × 100)
= 53.2/0.61
The estimate can therefore be determined by evaluating;
= 53/0.6
= 88 remainder 1.
Therefore, the closest estimate of the whole number quotients 5320/61 as given in the task content is; 88.
Ultimately, the whole number quotients of the expression; 5320/61 as required to be evaluated in the task content is; 88.
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The revenue function for a real estate agency is based on a percentage of the amount of monthly sales made by agents. The cost function for the agency is based on the commissions, paid to the agent plus the fixed monthly costs. both functions are shown below where X is the dollar amount of the monthly sales made by agents.
• Revenue function: f (x) = 0.03
• Cost function: g (x) = 0.015x + 4,600
The agency will break, even when the revenue function is equal to the cost function. For the agency to break even, what amount of monthly transactions, in dollars, must be generated by its agents?
• Between $0 and $2000
• Between $4,500 and $4,700
• Between $153,000 and $155,000
• Between $305,000 and $307,000
Answer:
D. Between $305,000 and $307,000
Step-by-step explanation:
A. This is a result of finding 4,600(0.03 + 0.015).
B. This is a result of using the y-intercept for the cost function.
C. This is a result of incorrectly solving the equation 0.03x = 0.015x + 4,600 by dividing 4,600 by 0.03
instead of 0.015 in the final step.
D. This is a result of correctly solving the equation 0.03x = 0.015x + 4,600 ⇒ 0.015x = 4,600 then dividing
4,600 by 0.015 to get approximately 306,667.
Describe the continuity of the graphed function.
A. The function is continuous.
B. The function has a removable discontinuity at x=0.
C. The function has a jump discontinuity at x=0.
D. The function has an infinite discontinuity at x=0.
The correct option regarding the continuity of the function at x = 0 is given by:
A. The function is continuous.
What is the missing information?
The graph is missing, and is given at the end of this problem.
A function f(x) is continuous at x = a if it is defined at x = a, and:
[tex]\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)[/tex]
From the graph of the function, at x = 0, we have that:
[tex]\lim_{x \rightarrow 0^-} f(x) = \lim_{x \rightarrow 0^+} f(x) = f(0) = 0[/tex]
Which means that the function is continuous at x = 0, hence option A is correct.
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A quadratic function is shown on the graph.
a downward opening parabola beginning with open circle at negative 3 comma negative 7 increasing to a vertex at 0 comma 2 and then decreasing to a closed circle at 2 comma negative 2
What is the range of the function?
{y | −7 < y ≤ 2}
{y | −7 ≤ y ≤ 2}
{x | −3 ≤ x ≤ 2}
{x | −3 < x ≤ 2}
The range of the quadratic function is shown on the graph.is {x | −3 ≤ x ≤ 2}
What is a quadratic function ?
A quadratic function is a type of function that has polynomials, if the polynomial in a quadratic function is of degree two then the polynomial is said to be quadratic. we can therefore say that quadratic functions are a special type of polynomials with a power of 2
The graph of a quadratic function is represented by a curve opening upward or downward, it may also open sideways depending on ow the values are chosen.
The range are the input values, they are on the x axis. Form the description of the graph the range is fount to be {x | −3 ≤ x ≤ 2}
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