Answer:
\( \sf1.7\% \\ = \sf \frac{1.7}{100} \\ = \boxed{ \bold{ \red{\frac{17}{1000} }}}\)
Hope it helps!!
PLEASE HELP!!!
Baristas at Hot Cocoa Coffee Shop tested their new hot chocolate machine. The following table shows the number of seconds the machine was turned on and the amount of hot chocolate that filled up the cup.
Time (seconds)- 4 8 12 16 20 24
Hot chocolate amount (fluid ounces)- 4 5.5 7 9 12 15
Which representation is most appropriate for displaying and describing what is happening to the amount of hot chocolate over time?
The representation that is most appropriate for displaying and describing what is happening to the amount of hot chocolate over time is a Line Plot
What is a Line Plot?
A line plot, or dot plot/strip plot, is a simple visual method of displaying data that shows the spread of values on a horizontal scale. A frequent application of it is to graphically display the occurrence or spread of a solitary factor.
A line plot generally displays individual data points as a small dot or short line segment along a specific axis, usually the horizontal axis. The location of the dot or line segment indicates the numerical value of the data point. Usually, the up and down axis showcases the frequency or the number of times a particular value occurs.
With this type of Table, the top is always X and the bottom is always Y.
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2. Assume someone had $100,000 in their retirement account on 3/3/1/2013. The five year rateof 3.98% means that each year their initial balance will grow by 3.98%. To find out howmuch money they will have in their account five years later we can fill in the following table:Five Year Rate 3.98%DateInitial PrincipalInterestEnding Principal3/31/20133/31/20143/31/20153/31/20163/31/20173/31/2018
ANSWER
Date: 3/31/2013
• Initial principal: ,$100,000
,• Interest: ,$3,980
,• Ending principal: ,$103,980
Date: 3/31/2014
• Initial principal: ,$103,980
,• Interest: ,$4,138.40
,• Ending principal: ,$108,118.40
Date: 3/31/2015
• Initial principal: ,$108,118.40
,• Interest: ,$4,303.11
,• Ending principal: ,$112,421.51
Date: 3/31/2016
• Initial principal: ,$112,421.51
,• Interest: ,$4,474.38
,• Ending principal: ,$116,895.89
Date: 3/31/2017
• Initial principal: ,$116,895.89
,• Interest: ,$4,652.46
,• Ending principal: ,$121,548.35
Date: 3/31/2018
• Initial principal: ,$121,548.35
EXPLANATION
The initial balance is $100,000 and it is said that this balance grows by 3.98% each year. For the first year 3/31/2013 the values are:
• Initial principal: ,$100,000
,• Interest: here we have to find 3.98% of the initial principal:
\(100,000\times\frac{3.98}{100}=100,000\times0.0398=3,980\)so the interest is $3,980
• Ending principal: is the initial amount plus the interest of the first year:
\(100,000+3,980=103,980\)The ending principal for the first year is $103,980.
Now we have to do the same for the next 4 years. The initial principal will be the ending principal of the previous year. The interest is the 3.98% of the initial principal of the same year and the ending principal is the initial principal plus the interest. So for the second year 3/31/2014:
• Initial principal: ending principal of 2013 = ,$103,980
,• Interest:
\(103,980\times\frac{3.98}{100}\approx4,138.40\)the interest is $4,138.40
• Ending principal:
\(103,980+4,138.4=108,118.4\)the ending principal is $108,118.40
Next year, 2015:
• Initial principal: ending principal of 2014 = ,$108,118.40
,• Interest: 3.98% of initial principal:
\(108,118.40\cdot3.98\text{ \%}=4,303.11\)• Ending principal:
\(108,118.4+4,303.11=112,421.51\)Year 2016:
• Initial principal: ending principal of 2015 = ,$112,421.51
,• Interest:
\(112,421.51\times3.98\text{ \%}=4,474.38\)• Ending principal:
\(112,421.51+4,474.38=116,895.89\)Year 2017:
• Initial principal: ending principal of 2016 = ,$116,895.89
,• Interest:
\(116,895.89\times3.38\text{ \%}=4,652.46\)• Ending principal:
\(116,895.89+4,562.46=121,548.35\)Finally, the initial principal of 2018 is the ending principal of 2017: $121,548.35
Question
From a point P on a level ground and directly west of a pole, the angle of elevation of the top of the pole is 45° and from point Q east of the pole, the angle of elevation of the top of the pole is 58°. If |PQ|= 10m, calculate, correct to 2 significant figures, the:
a) distance from P to the pole;
b) height of the pole.
a) The distance from point P to the pole is: 6.2 m
b) The height of the Pole is: 6.2 m
How to find the distance and height from angle of elevation?The triangle attached shows us the triangle formed as a result of the given word problem about angle of elevation and distance and height.
Now, we are given that:
The angle of elevation of the top of the pole = 45°
Angle of elevation of the top of the pole = 58°.
|PQ|= 10m
a) PR is distance from point P to the pole and using trigonometric ratios, gives us:
PR/sin 58 = 10/sin(180 - 58 - 45)
PR/sin 58 = 10/sin 77
PR = (10 * sin 58)/sin 77
PR = 8.7 m
b) P O can be calculated with trigonometric ratios as:
P O = PR * cos 45
P O = 8.7 * 0.7071
P O = 6.2 m
Now, the two sides of the isosceles triangle formed are equal and as such:
R O = P O
Thus, height of pole R O = 6.2 m
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when factoring 6x^2 -7x-20 by grouping , how should the middle term be rewritten
Answer: -7x should be written as -15x+8x or 8x-15x
===============================================
Explanation:
Multiply the first coefficient 6 and the last term -20 to get -120
We need to find factors of -120 that add to the middle coefficient -7
Through trial and error you should find that
-15 + 8 = -7
-15 * 8 = -120
Therefore, we break the -7x into -15x+8x
----------------------------
Extra info: if you want to fully factor by grouping, then follow these steps
6x^2 - 7x - 20
6x^2 - 15x + 8x - 20 ... break up -7x
(6x^2 - 15x) + (8x - 20) .... group into pairs
3x(2x - 5) + 4(2x - 5) .... factor each group
(3x + 4)(2x - 5) ..... pull out the overall GCF 2x-5
So 6x^2-7x-20 fully factors to (3x+4)(2x-5)
We can check the answer by FOILing out the last expression above to get the original expression back again. The box method works as well. So does the distributive property.
combine like terms 2.4m- 125 + 1.8b+ 92.4
Answer:
2.4m+1.8b−32.6
Step-by-step explanation:
Group like terms together
1. 2.4 m + \left( - 125 + 92.4 \right) + 1.8 b2.4m+(−125+92.4)+1.8b
2 . Add or subtract the numbers
2.4 m- 32.6 + 1.8 b2.4m−32.6+1.8b
3 . Rearrange the expression
2.4 m + 1.8 b- 32.62.4m+1.8b−32.6
Answer:
2.4m+1.8b-32.6
Step-by-step explanation:
2.4m- 125 + 1.8b+ 92.4
2.4m+1.8b-32.6
Which value of x is a solution of x < -2?
A.
-3
B. -2
C.
-1
D. 0
Answer:
A
Step-by-step explanation:
-3<-2
A two-child family is selected at random. Let B denote the event that at least one child is a boy, and let D denote the event that
the genders of the two children differ. Find the union of B and D. (1 point)
The union is (bb, gg); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of the
second child.
The union is (bg. gb); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of the
second child.
The union is {bb, bg, gb, gg); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of
the second child.
The union is (bb, bg. gb); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of the
second child.
With the help of probability we can say that, DUM={GG,BB,GB,BG).
What is Probability?Probability is the concept that describes the likelihood of an event occurring.
In real life, we frequently have to make predictions about how things will turn out.
We may be aware of the result of an occurrence or not.
When this occurs, we state that there is a possibility that the event will occur.
In general, probability has many excellent applications in games, commerce, and this newly growing area of artificial intelligence
The chance of an event can be calculated using the probability formula by only dividing the favourable number of possibilities by the total number of potential outcomes.
hence, DUM={GG,BB,GB,BG)
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What are the coordinates of the endpoints of the midsegment for A RST that is parallel TS? Enter your answer by filling in the boxes. (_ , _) and (_ , _)
Answer:
2,4 3,5
Step-by-step explanation:
If there are penguins in the aquarium is full of fish, then this is an octopus write
this in Symbolic form
The compound statement "If there are penguins and the aquarium is full of fish, then this is an octopus" can be written in symbolic form as: r ∧ q → o
How to explain the informationLet's assign variables to represent the statements:
q: The aquarium is full of fish.
r: There are penguins.
The compound statement "If there are penguins and the aquarium is full of fish, then this is an octopus" can be written in symbolic form as: r ∧ q → o
∧ represents the logical operator "and" which connects the statements r and q.
→ represents the logical operator "implies" or "if...then".
o represents the statement "this is an octopus".
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which inequality represents this graph
Answer:
it would be the first one!
Answer:
z ≥ -10, which is the first answer.
Step-by-step explanation:
As you can see, on the graph there is a point filled in with a line pointing to the right. That would mean the sign would be ≥, as Z is GREATER than or EQUAL TO.
Baby Victor wants to arrange 7 blocks in a row?How many different arrangements can the baby make?
Answer:
there are 5040 arrangements.
Step-by-step explanation:
i hope this works
FIND THE PRODUCT
(x - y)(8x + y)
Answer:
Step-by-step explanation:
8x^2 + xy - 8xy - y^2
8x^2 - 7xy - y^2
lUsha painted the faces of a fair die for a probability experiment. If the probability of the die showing red is 2/6how could Usha have paintedthe faces of the die?
A fair die has 6 faces.
If the die was painted, and the probability of showing red is 2/6, then the following explains it;
\(\begin{gathered} P\lbrack E\rbrack=\frac{\text{Number of required outcomes}}{Number\text{ of all possible outcomes}} \\ \text{When P\lbrack{}Red\rbrack=}\frac{2}{6} \\ \text{This means 2 of the total 6 faces was painted red} \end{gathered}\)In Usha's experiment, she must have painted 2 of the 6 faces red color.
Consider this expression.( x+ 9) (x– 2) – 9x – 6What expression is equivalent to the given expression?
We have the following expression given:
\((x+9)(x-2)-9x-6\)\(x^2-2x+9x-18-9x-6\)\(x^2-2x-24\)Then we just need to find two numbers that added are -2 and multiplied -24. And these numbers are -6 and 4. Because 4-6=-2.
4* (-6)=-24
And then we can write the solution like this:
\((x+4)(x-6)\)please help i will give extra points
Answer:
3^2 + 21 /3
9 + 7
16✓
Answer
Showing the amount of each monthly payment that goes toward principal and interest for the first three months of the loan.
A home mortgage of $140,000 with a fixed APR of 6% for 30 years.
For each month, you will pay $700 in interest.
What is simple interest?
Simple interest is a method of calculating the interest on a loan or investment where the interest is determined based on the initial principal (the original amount of the loan or investment) and a fixed interest rate. The interest is calculated based on the amount of time the principal is invested or borrowed.
The formula for simple interest is:
I = Prt
Where:
I is the interest
P is the principal
r is the annual interest rate (expressed as a decimal)
t is the time (in years)
For example, if you have a home mortgage of $140,000 with a fixed APR of 6% for 30 years, the simple interest calculation for each month will be:
I = (140,000 x 0.06) / 12 = $700
Hence, for each month, you will pay $700 in interest.
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the absolute value of a number is the distance from 0 to the number on a number line. use absolute value notation to indicate two number that are 3 units away from 0
Answer: It is 3 and negative -3
Step-by-step explanation:3 units away from zero forwards and back are both 3 but one is negative
Answer: 3 and negative -3
hope this helps
Identify an equation in point-slope form for the line parallel to y = 3/4 x - 4 that passes through (–1, 7).
Let's take this problem step-by-step:
If a line is parallel to each other:
⇒ their slope must be equal
Thus the line parallel to: \(y=\frac{3}{4}x-4\)
⇒ that line's slope: 3/4
The point-slope form is: \((y-y_1)=m(x-x_1)\)
m: the value of the slope of that line(x₁,y₁): point on that lineLet's put that line into the point-slope form:
\((y-7)=\frac{3}{4}(x+1)\) <== Answer
Hope that helps!
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Answer:
\(y - 7 = \frac{3}{4} (x+1)\)
Step-by-step explanation:
We are given the equation y = 3/4x-4, and we want to write an equation of a line that is parallel to y=3/4x-4, and that also passes through (-1, 7), in point-slope form.
Point-slope form is written as \(y-y_1=m(x-x_1)\), where \(m\) is the slope, and \((x_1, y_1)\) is a point
If two lines are parallel to each other, it means they have the same slope.
The line y = 3/4x-4 is written in the form slope-intercept form, which is y=mx+b, where m is the slope and b is the value of y at the y intercept.
As 3/4 is in the place of where m is, 3/4 is the slope of this line.
It is also the slope of our new line.
So we can substitute 3/4 as m in \(y-y_1=m(x-x_1)\).
\(y-y_1=\frac{3}{4} (x-x_1)\)
Now, we need to replace the values of \(x_1\) and \(y_1\) with a point.
Since we are given (-1, 7), and that it passes through the line, it means that we can use its values in the equation.
Note that we have subtraction in this equation, so when we use a negative number, we still write the subtraction sign in front of the minus sign the negative number has. Just because the number is already negative doesn't mean we ignore the minus sign the formula gives.
\(y-7=\frac{3}{4} (x--1)\)
We can simplify this equation, as --1 is the same as +1.
\(y-7=\frac{3}{4} (x+1)\)
Jimmy's lunch box in the shape of a half cylinder on a rectangular box.
Find the total volume of metal needed to manufacture it
Answer:10cm 5cm 7 Jim's lunch box is in the shape of a half cylinder on a rectangular box. To the nearest whole unit, what is a The total volume it contains? b The total area of the sheet metal in 10 in needed to manufacture it? This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts
Step-by-step explanation:
I tried everything I could to answer this question but I couldn’t get it
We need to use some properties of the kyte:
· The opposite obtuse angles are equal. In the figure, this means ∠WZY = ∠WXY
· The large diagonal bisects the angles ∠ZWX and ∠XYZ
56 ask us to find m∠XYZ. We can note that the angles ∠ZXY and ∠XZY are congruent. And we know that the interior angles of the triangle XYZ add to 180º.
m∠VXY = m∠VZY = 58º
Then:
\(\begin{gathered} m∠ZXY+m∠XZY+m∠XYZ=180º \\ 58º+58º+m∠XYZ=180º \\ m∠XYZ=64º \end{gathered}\)The answer to 56. is 64º
57 ask us to find m∠ZWV, we can use the second property listed above. The large diagonal bisects the angle ∠ZWX. Since we know ∠ZWX = 50º, then:
\(\begin{gathered} m∠ZWV=\frac{1}{2}\cdot m∠ZWX \\ . \\ m∠ZWV=\frac{1}{2}\cdot50º=25º \end{gathered}\)The answer to 57 is 25º
58 ask us to find m∠VZW. We know that the sum of all internal angles of a kite (or any quadrilateral), is 360º.
We know:
m∠ZWX = 50º
m∠WZY = m∠WXY
m∠XYZ = 64º
Then:
\(\begin{gathered} m∠ZWX+m∠WZY+m∠WXY+m∠XYZ=360º \\ 50º+2m∠WZY+64º=360º \\ 2m∠WZY=360º-114º \\ m∠WZY=\frac{1}{2}\cdot246º \\ m∠WZY=123º \end{gathered}\)And:
\(m∠WZY=m∠VZW+m∠VZY\)Now replace the known values of m∠WZY = 123º and m∠VZY = 58º:
\(\begin{gathered} 123º=m∠VZW+58º \\ m∠VZW=123º-58º=65º \end{gathered}\)The answer to 58 is 65º
59 ask us to find m∠WZY, we sis it in 58 to find m∠VZW.
The answer to 59 is 123º
6. Rewrite y = √√4x+16 +5 to make it easy to graph using a translation. Describe the graph.
Answer:
~
Step-by-step explanation:
To make it easier to graph using a translation, we can rewrite the given equation as:
y - 5 = √√4x + 16
This is obtained by subtracting 5 from both sides of the equation.
The graph of the original equation y = √√4x+16 +5 can be obtained by taking the graph of y = √√4x + 16 and shifting it upwards by 5 units. The graph of y = √√4x + 16 is a square root function that has a vertical stretch of 2, a horizontal compression of 4, and a vertical translation of 16 units upwards. So the graph of the given equation y = √√4x+16 +5 will be the same as the graph of y = √√4x + 16, but shifted upwards by 5 units.
Express as a product. 1+2cos a
Answer:
Therefore, 1 + 2cos a can be expressed as the product of 2 and (cos a/2 + 1).
1 + 2cos a = 2(cos a/2 + 1)
Step-by-step explanation:
We can use the trigonometric identity:
cos 2a = 1 - 2 sin^2 a
to rewrite 1 + 2cos a as:
1 + 2cos a = 1 + 2(1 - sin^2 a/2)
= 1 + 2 - 2(sin^2 a/2)
= 3 - 2(sin^2 a/2)
Now, using another trigonometric identity:
sin a = 2 sin(a/2) cos(a/2)
we can rewrite sin^2 a/2 as:
sin^2 a/2 = (1 - cos a)/2
Substituting this into the expression for 1 + 2cos a, we get:
1 + 2cos a = 3 - 2((1 - cos a)/2)
= 3 - (1 - cos a)
= 2 + cos a
Therefore, 1 + 2cos a can be expressed as the product of 2 and (cos a/2 + 1).
1 + 2cos a = 2(cos a/2 + 1)
Desmond is 5 inches taller than Niki.
If we let
represent Niki's height in inches, write an algebraic expression for Desmond's height.
What does r equal if -3(2r + 7) = 3
Answer:
r = -4
Step-by-step explanation:
2r + 7 = - 1
2r = - 1 - 7
2r = - 8
Answer: r=-4
Step-by-step explanation: -3(2r + 7)=3 (−3)(2r)+(−3)(7)=3 −6r+−21=3 −6r−21+21=3+21 -6r/-6=24/-6 r=-4
(01.02 MC)Which of the following expressions shows how to rewrite 7 − 8 using the additive inverse and displays the expression correctly on a number line?
Answer:
7- 8 +- =- 1 if you going to left with - 8 and you to right 7 so the answer should be- 1
The sum of three numbers is 125. The first number is 7 more than the first. The third number is 4 times the second.What are the numbers
Answer:
15, 22, 88
Step-by-step explanation:
I assume you mean the second number is 7 more than the first. Write the system of equations:
x + y + z = 125
y = x + 7
z = 4y
Substitute the third equation into the first.
x + y + 4y = 125
x + 5y = 125
Substitute the second equation.
x + 5(x + 7) = 125
6x + 35 = 125
6x = 90
x = 15
Solve for the other variables.
y = 22
z = 88
Mr. Cota earned $105 in interest in one year the rate was 7%. how much money did he begin with?
Answer:
97.65 exactly you could always use a calculator as well
If f(-2) = a and (f • g) (-2) = 2a^2, which of the following is g (-2)?
Answer: \(g(-2)=2a\)
Step-by-step explanation:
\((f \cdot g)(-2)=f(-2)g(-2)\\\\\therefore a \cdot g(-2)=2a^2 \implies g(-2)=2a\)
The function g(-2) from the given functions is 2a.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given functions are f(-2)=a and (f·g)(-2)=2a².
Here, (f·g)(-2)=2a²
f(-2)·g(-2)=2a²
a·g(-2)=2a²
g(-2)=2a²/a
g(-2)=2a
Therefore, the function g(-2) is 2a.
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Find the inverse function in slope intercept form
f(x) = 4/3x + 4
Answer:
-3x/4 + 3
Step-by-step explanation:
slope of the given function is 4/3
so slope of the inverse function is \(-\frac{1}{\frac{4}{3}}}=-\frac{3}{4}\)
For the given function x = 0, y = 4
For the inverse function, y = 0, x = 4
Then the inverse function is
g(x) = (-3/4)*(x - 4) = -3x/4 + 3
Guys does someone know why are checks debit cards electronic payments all considered cash forms of payment even though the y do not insolvente bills and coins ???
Checks, debit cards, and electronic payments are considered forms of cashless payments because they allow for the transfer of funds between individuals or businesses without the need for physical currency, such as bills and coins.
Checks are considered cash because they are legal tender and can be deposited into a bank account, allowing the funds to be transferred between parties. Debit cards and electronic payments work in a similar way by deducting funds directly from a bank account or transferring funds electronically. While these forms of payment may not involve physical currency, they represent a transfer of value and can be used to purchase goods and services in the same way as cash.
In summary, checks, debit cards, and electronic payments are considered forms of cash because they facilitate the transfer of value between parties, even though they do not involve physical currency.
Answer:
Debit cards account for 28% of all payments, and credit cards account for 23% of all payments. For these payments, payment details are entered manually during a checkout process, or the physical card is processed at a point of sale (POS) system. There’s usually a debit or credit card processing fee, which the business owner needs to pay.
Step-by-step explanation:
pls tell me if wrong thank you have a great night or day