Answer:
[tex] = \frac{10}{0.2} = \frac{100}{2} = 50 \\ = \frac{10}{0.02} = \frac{1000}{2} = 500 \\ = \frac{10}{0.002} = \frac{10000}{2} = 5000 \\ \\ [/tex]
hopefully that will help u
(Lesson 22)
P=L(+)
a. Find the monthly payment P on a $75,000 loan with an
annual interest rate of 4% (let r= .9967) and a term of
20 years (n = 240 months). Show your work below and
circle your final answer.
The monthly payment is 38455 when the P for a $75,000 loan with a 20-year term (n = 240 months) and an annual interest rate of 4%.
Given that,
We have to calculate the monthly payment P for a $75,000 loan with a 20-year term (n = 240 months) and an annual interest rate of 4% (let r=.9967).
We know that,
Formula for monthly payment is P(i(1+i)ⁿ/(1+i)ⁿ-1)
Here,
P is principal amount $75,000
n is number of months 240 months
i is interest rate 4% is 0.04
=P(i(1+i)ⁿ/(1+i)ⁿ-1)
=75,000(0.04(1+0.04)²⁴⁰/(1+0.04)²⁴⁰-1)
=75,000(0.04(1.04)²⁴⁰/(1.04)²⁴⁰-1)
=75,000(0.04(12246.20236)/(12245.20236)
=75,000(0.04×1.000081665)
=38455
Therefore, The monthly payment is 38455 when the P for a $75,000 loan with a 20-year term (n = 240 months) and an annual interest rate of 4%.
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A dictionary costs $15.00 and a map costs $5.00. If you want to
spend exactly $60.00 and you need to buy 3 dictionaries, how
many maps can you buy? Write an equation in standard form
modeling this situation then see how many maps you can buy.
Let a represent the number of dictionaries you buy and b
represent the number of maps you buy.
maps
Answer:
15.00x +5.00y = 60.00
Step-by-step explanation:
answer is to the equation is 3 because u plug in 3 to x given information provided to get 45.00 dollars. u then subtract 60 and 45 to see how much money u have left for maps. each map is 5.00 dollars and with 15.00 dollars remaining, u can get three maps and three dictionaries to equal 60.00 dollars!! Hope this helps!
Answer:
You can buy 3 maps. Equation: 15a + 5b = 60 ⇒ 15(3) + 5(3) = 60
Step-by-step explanation:
15 multiplied by 3 equals 45. Now you have $15 left. 15 divided by 5 equals 3. Therefore, you can buy 3 maps. Hope that helped! :)
4x/3 -x=x/15-12/5 x =??????????
a man travels xkm at 60 km per hour and ykm at 40 km per hour and takes 11/4 hours for the Journey,if the time taken for 5x km at 40 km per hour and 3y km at 50 km per hour is 11 hours 42 minutes find X and Y
The value of the x is 60 km and the value of the y is 70 km.
Given that a man travels x km at 60 km/h and y km at 40 km/h and the total time traveled is 11/4 i.e 2.75 h.
Let's suppose that the time traveled for the x km is t1, time traveled for the y km is t2 and total time is T ,so by using the speed distance formula t1 & t2 will be :
t1 = x/60 and t2 = y/40 ;
T = t1 + t2;
i.e 2.75 = x/60 + y/40 ;
Multiply both sides with 120,
330 = 2x + 3y ............i
Now given that man traveled 5x km at 40 km/h and 3y km at 50 km/h in total time of 11. 7 hours. Similarly the equation for this situation will be :
T = t1 + t2;
x/8 + 3y/50 = 11.7 ;
Multiply both sides with 200, we will get
25x + 12y = 2340 .........ii
Now by simplifying the equation i and ii we will get the value of x and y which are 60 and 70 respectively.
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mass
density
volume
2.23 kg of oxygen gas has a volume of 1.56 x 106 cm³.
Calculate the density of the oxygen gas in g/cm³.
Give your answer in standard form to 3 significant figures.
Answer:
density = 1.43 × 10⁻³ g/cm³
Step-by-step explanation:
We are told that oxygen gas of mass 2.23 kg has a volume of 1.56 × 10⁶ cm³, and we are told to find its density in g/cm³.
To do this we have to first convert the mass, which is given in kg, to g:
mass = 2.23 kg = 2.23 kg × 1000 [tex]\mathrm{_\frac{g}{kg}}[/tex]
= 2230 g
Next, we can find the density of the gas using the following formula:
[tex]\boxed{density = \frac{mass}{volume}}[/tex]
⇒ density = [tex]\mathrm{\frac{2230 \ g}{1.56 \times 10^{6} \ cm^3}}[/tex]
= 1.43 × 10⁻³ g/cm³
Therefore, the density of the oxygen gas is 1.43 × 10⁻³ g/cm³.
Last year, the student population at Haley Elementary School was 360 students. After rezoning this year, the student population is 10% smaller. HOW MANY STUDENTS ATTEND HALEY ELEMENTARY THIS YEAR?
Answer: 324
Step-by-step explanation: 10% is the same as 1/10
360/10 is 36
360-36= 324
meaning 324 students now attend Haley elementary school <3
hope this helps <33
5- (8 - 6) + 3 times 4 +6
-----------------------------------------
5(4 -5)
The dash lines are for a fraction line. :)
The result of the fractional operation in this problem is given as follows:
-21/5 = -4.20.
How to solve operations with fractions?A fraction is represented by the division of a term x by a term y, as follows:
Fraction = x/y.
The terms that represent x and y are given as follows:
x, which is the top term of the fraction, is called the numerator.y, which is the bottom term of the fraction, is called the denominator.The numerator in this fraction is given as follows:
5 - (8 - 6) + 3 x 4 + 6.
The parenthesis and the multiplication have precedence, hence:
5 - (8 - 6) + 3 x 4 + 6 = 5 - 2 + 12 + 6 = 21.
The denominator in this fraction is given as follows:
5(4 - 5) = 5(-1) = -5.
The result is the division of the numerator by the denominator, hence:
21/(-5) = -21/5 = -4.20.
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please help and please use the diagram
7
8
9
Answer:
↓ ↓ ↓
Step-by-step explanation:
7) Name of plane to piano CIJ:-
Plane AGL8) Name a segment parallel to BC:-
FE9) Which segment is not skew to EK:-
C. CI______________________
Hope this helps!
Have a great day!
Sandy works at a clothing store. She makes $9 per hour plus earns 15% commission on her sales. She worked 71 hours over the last two weeks and had a total of $2,046 in sales before taxes.
Which of the following is closest to how much she will earn in hourly wages and commission for those two weeks?
Sandy earn 306.9 dollars in commission and 1739.1 dollars in hourly wages.
How to find Sandy hour wages and commission?Sandy works at a clothing store. She makes $9 per hour plus earns 15% commission on her sales.
She worked 71 hours over the last two weeks and had a total of $2,046 in sales before taxes.
The amount she will earn in her hourly wages and commission is as follows:
amount earn in commission = 15% of 2046
amount earn in commission = 15 / 100 × 2046
amount earn in commission = 30690 / 100
amount earn in commission = 306.9 dollars
Therefore,
amount earn in hourly wages = 2046 - 306.9
amount earn in hourly wages = 1739.1 dollars.
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The digit 7 appears twice in
the product.
Answer:
The numbers in which 7 appears are. 7, 17, 27, 37, 47, 57, 67, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 87, 97, 107. So, counting all. ∴ Number of times 7 appears = 21
If the random variable Zhas a standard normal distribution, then P(1.17 S ZS 2.26) is
The value of P(1.17 <= Z <= 2.26 ) is 0.1091
From the question, we have
Z value for 1.17 is 0.8790
Z value for 2.26 is 0.9881
P(1.17 <= Z <= 2.26 ) = 0.9881 - 0.8790 = 0.1091
Probability:
Probability refers to possibility. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.
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Graph a line with a slope of 1/5 and passes through the point (-2, 2).
The equation of line in slope intercept form
What is equation of line in slope intercept form?
The most general form of equation of line in slope intercept form is given by y = mx + c
Where m is the slope of the line and c is the y intercept of the line.
Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.
If [tex]\theta[/tex] is the angle that the line makes with the positive direction of x axis, then slope (m) is given by
m = [tex]tan\theta[/tex]
The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.
The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.
Here,
Slope = [tex]\frac{1}{5}[/tex]
Point = (-2, 2)
Required equation of line =
[tex]y - 2 = \frac{1}{5}(x - (-2))\\5y - 10 = x + 2\\5y = x + 2 + 10\\5y = x + 12\\y = \frac{1}{5}x + \frac{12}{5}\\[/tex]
The graph has been attached here.
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I can't do math so I need someone to help me. what's the answer?
The value of TV for the similar triangles is 25
What are similar triangles?Similar triangles are the triangles that have corresponding sides in proportion to each other and corresponding angles equal to each other. Similar triangles look the same but the sizes can be different.
Similar triangles are not the same as congruent triangles though.
triangle UXW and UTV are similar since line TV cuts lines UX and UW in the same proportion.
Let UV = p, it means also that WV = P. which means WU = 2p
so since the two triangles are similar, the ratio of their corresponding lengths are equal
meaning,
UV/UW = TV/XW
substituting their values, we have
p/2p = TV/50
by cross multiplying,
2p x TV = 50p
2TV = 50
TV = 50/2 = 25
In conclusion, the value of TV is half the value of WX = 25
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Help Need ASAP
Paula makes purses. The materials cost $2.25 per purse. She sells them for $5.00 each. Paula wants to invest $5000 for some new equipment. Which of these could be used to determine x, the number of purses Paula must sell to pay for the new equipment?
Responses
5.00x - 2.25x = 5000
5.00x + 2.25x = 5000
5.00x = 5000
2.25x = 5000
The equation that represents the number of purses Paula must sell to pay for the new equipment is 5.00x = 5000.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, Paula makes purses and the materials cost $2.25 per purse.
She sells them for $5.00 each now she wants to invest $5000 in some new equipment and we are assuming the no. of purses to be x.
Here the equation 5.00x - 2.25x = 5000 represents Paula's profit.
The equation that represents the no. of purses she must sell to pay for the new equipment is 5.00x = 5000.
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Answer: 5.00x - 2.25x = 5000
Step-by-step explanation:
The depth of a local river averages 20 ft, which is represented as |−20|. In January, it measured 6 ft deep, or |−6|, and in July, it was 22 ft, or |−22|. What is the difference between depths in January and July?
Answer: 2 ft.
Step-by-step explanation:
|-20| = 20, |-22| = 22
22 - 20 = 2
Write the equation of a line with slope m = -6 and y-intercept (0, -4), in standard form.
The equation in standard form
Equation of the line in standard form is 6x + y + 4 = 0.
Slope-intercept form of equation -> y = mx + c
Given in question,
Slope = m = -6
y-intercept = c = -4
Putting values of m and c in Slope-intercept form of equation,
y = -6x - 4
Standard form :
6x + y + 4 = 0
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Adaim has a goal to reach 70 miles. If he hikes 8 miles per day, how long will it take him to hike all 70 miles?
Fwam is preheating his oven before using it to bake. Fwam wants to predict the final
temperature after a minutes. He wrote the equation y = 40x+79, where y represents the final temperature in degrees Fahrenheit. What is the meaning of the y- value when x = 1?
The solving linear equation states that the temperature of the oven is 119 after an minute.
What is a linear equation?A linear equation is just an algebraic equation of something like the form y=mx+b that only contains a constant and a first-order (linear) component, where m represents the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where y and x are now the variables.
According to the given data:Given:
y = 40x+79
X = number of minutes using it to bare:
When X = 1
y = 40(1)+79
y = 119
It means that the temperature of the oven is 119 after an minute.
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What must be added to this expression
to make it a perfect square?
9/16 must be added to this expression [tex]x^{2} -3x/2[/tex] to make it a perfect square.
According to the question,
We have the following expression:
[tex]x^{2}[/tex] -3x/2
Now, in the given four options, we only have two perfect squares which 9/16 and 16/9.
Now, 9/16 is the square of 3/4.
So, we will first solve it using 9/16:
[tex]x^{2}[/tex]-3x/2+9/16
Now, this formula is of identity [tex](a-b)^{2}[/tex] where we have a = x and b = 3/4.
The formula of the identity [tex](a-b)^{2} = a^{2} + b^{2} -2ab[/tex].
Now, adding 9/16 make it a perfect whole square.
(More to know: we can add or subtract a number or a term from an expression to make it a perfect square or perfect cube.)
Hence, the correct option is C.
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Consider the equation and the following ordered pairs: (−3,y) and (x,2). y=−3x−1 Step 1 of 2 : Compute the missing x and y values so that each ordered pair will satisfy the given equation. Answer Keyboard Shortcuts Complete the table below. x y row 1−3 Answer row 2 Answer 2
Using the equation y = -3x - 1, the missing values are in the ordered pairs, (−3,y) and (x,2), are: x = -1 and y = 8.
How to Compute Missing Values that Satisfies an Equation?An algebraic equation is an expression that has variables. The values of those variables, when plugged into the equation would make the equation true.
Given the equation, y = -3x - 1, substitute x = -3 into the equation to find y:
y = -3(-3) - 1
y = 9 - 1
y = 8
The missing value in the ordered pair is: (-3, 8).
To find the missing value of x in (x, 2), substitute y = 2 into the equation, y = -3x - 1:
2 = -3x - 1
2 + 1 = -3x
3 = -3x
3/-3 = x
x = -1
The missing value is (-1, 2).
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For what value of x does the graph of f(x) = e* - 2x have
a horizontal tangent?
The value of x=0.301 at the x the graph of the function have a horizontal tangent.
Given that,
The function is f(x)=eˣ-2x
We have to find the value of x does the graph of the function have a horizontal tangent.
What is the horizontal tangent?Where the derivative of a function is zero, a graph's horizontal tangent line is a mathematical feature. This is so that the derivative, by definition, can provide the slope of the tangent line. The slope of horizontal lines is zero. As a result, when the derivative is zero, the tangent line is horizontal.
For horizontal tangent line,
f'(x)=0
The differentiation of the function is
eˣ-2=0
eˣ=2
Taking logarithm on both sides.
logeˣ=log2
We know that loge=1
So,
x loge=log2
x(1)=log2
x=log2
x=0.301
Therefore, the value of x=0.301 at the x the graph of the function have a horizontal tangent.
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PLEASE HURRY I WANT TO FINISH MY TEST AND I NEED THE ANSWER!!
Determine which integer will make the inequality 2(n + 2) < 5(n − 1) true.
The value to make the inequality true is n > 3
InequalityInequality, In mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
We need to solve this problem and determine what value will solve this problem.
2(n + 2) < 5(n - 1)
2n + 4 < 5n - 5
Collect like terms
4 + 5 < 5n - 2n
9 < 3n
3n > 9
n > 3
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need help with this asap first answer will get brainliest
Answer:
x° = 34°
Step-by-step explanation:
First, find the interior angle supplementary to the given exterior angle 124°.
I will label it y.
124° + y° = 180°
y° = 180° - 124°
y° = 56°
Next, solve for x° by equating the sum of the interior angles of the triangle to 180° and plugging in the y-value that we just solved for.
x° + y° + 90° = 180°
x° + y° = 90°
x° + 56° = 90°
x° = 90° - 56°
x° = 34°
Answer:
x = 34---------------------------
Exterior angle in the triangle is the sum of remote interior angles124 = x + 90x = 124 - 90x = 3435 lbs of bananas
cost $280. How
much would 42 lbs
cost?
Answer:
$336
Step-by-step explanation:
[tex]\frac{280}{35} \times 42 \\ \\ =\frac{56}{7} \times 42 \\ \\ =8 \times 42 \\ \\ =\$336[/tex]
The annual average price per square foot for office space in a city was $30.18 in 2004, and it was $66.85 in 2015.
(a) Find an exponential function of the form f(t)=y0b^t to model these data in which t=0 corresponds to 2004.
The exponential model of the given data is f(t) = 30.18 × 1.06^t.
What are the rules of exponents?Some of the rules of exponents are as follows,
The product of two exponents having the same power is equal to the power of their base multiplied.
The product of two exponents having the same base is equal to the sum of the powers of different exponents to the same base.
Given that,
The average price for office space in 2004 is $30.18.
The average price for office space in 2015 is $66.85.
Suppose the average price in 2004 is taken as y₀.
The given situation can be represented in the form of exponential function f(t) = y₀b^t as,
Take t = 0 for 2004
Then, f(0) = y₀b^0
⇒ f(0) = y₀ = $30.18.
Then, at 2015, t = 12. Substitute the respective values to get,
f(12) = 30.18 × b^12
⇒ 66.85 = 30.18 × b^12
⇒ b^12 = 66.85 / 30.18
⇒ b = 1.06
Thus in exponential form the given situation can be written as,
f(t) =30.18 × 1.06^t
Hence, the given data can be modeled in exponential function as f(t) =30.18 × 1.06^t.
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Find the probability.
Um A has balls numbered 1 through 8. Urn B has balls numbered 1 through 5. What is the
probability that a 4 is drawn from A followed by a 2 from B?
The probability that a 4 is drawn from from Urn A followed by a 2 from Urn B is 1/40 .
In the question ,
it is given that
the number of balls in Urn A is 8
which are {1,2,3,4,5,6,7,8}
the probability of getting a 4 from Urn A is (P₁) = 1/8
the number of balls in Urn B is 5 .
which are {1,2,3,4,5}
the probability of getting 2 from Urn B is (P₂) = 1/5
So ,the required probability is = P₁ × P₂
On substituting the values of P₁ and P₂ ,
we get
= 1/8 × 1/5
= 1/40
Therefore , the required probability is 1/40 .
The given question is incomplete , the complete question is
Find the probability.
Urn A has balls numbered 1 through 8. Urn B has balls numbered 1 through 5. What is the probability that a 4 is drawn from A followed by a 2 from B?
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Given: ST=3x+3 and TU= 2x+9
What is the value of TU?
The value of TU is 21
From the question, we have
ST=3x+3 and TU=2x+9
ST = TU
3x + 3 = 2x + 9
3x - 2x = 9 - 3
x = 6
substituting the value, we get
TU = 2x + 9
= 2 (6) + 9
= 12 + 9
TU = 21
Addition:
The phrase "the addition" refers to combining two or more numbers. Adding two numbers is indicated by the plus sign (+), therefore adding three is written as three plus three. Additionally, the number of times the plus symbol (+) is used is up to you. For example, 3 + 3 + 3 + 3. Mathematical addition is a crucial component of the learning curriculum for kids. In primary school, students learn simple addition sums such as one-digit facts, Math addition sums, and double-digit Math addition sums. One of the most fundamental and interesting Math concepts for elementary school children is addition sums. Math is a fascinating subject, and children first learn basic mathematical concepts like adding numbers in their early years.
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Pls help urgent someone hurry please
Proved that the triangle ABW ≅ triangle DCW
In the given question,
The length of WA = The length of WD
The measure of angle 5 = The measure of angle 7
Here we have to prove that one angle and two sides of the triangle ABW is equal to the one angle and two sides of the triangle DCW
Consider the triangle ADW,
In the triangle ADW the length of the WA is equal to the length of WD.
Therefore the measure of angle A is equal to the measure of angle D.
So in triangle ABW and the triangle DCW, one side and two angles are equal.
Therefore the triangle ABW and triangle DCW are congruent
Hence, proved that the triangle ABW ≅ triangle DCW
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it costs a paper company 4x+185 dollars to produce x notebooks. how many notebooks can they produce for $285
The paper company can produce 25 notebooks for $285
How to determine the number of notebooks?From the question, the equation of the total cost is given as
Equation = 4x + 185
Rewrite as
Cost = 4x + 185
Express the equation as a cost function
So, we have the following representations
C(x) = 4x + 185
When the total cost is $285, we have
C(x) = 285
This gives
4x + 185 = 285
Subtract 185 from both sides
4x = 100
Divide by 4
x = 25
Hence, the number of notebooks is 25
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Based on problems 1-3, what can you conclude about
triangle ABC's orthocenter if x is less than 90°?
What happens to the orthocenter as x increases towards 90°?
What happens to the orthocenter as x reaches 90°?
What happens to the orthocenter as x increases to larger than 90°?
Answer:
Step-by-step explanation:
smaller
larger
bigger
larger