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_____
The other selections are nonsense.
Related Questions
Suppose you earn 3% on a $1,200 deposit for 5 years. Explain how the simple interest is affected if the rate is increased by 1%. What happened if the time is increased by 1 year?
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[tex]\bf ~~~~~~ \textit{Simple Interest Earned increased by 1\%}\\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\to& \$1200\\ r=rate\to 4\%\to \frac{4}{100}\to &0.04\\ t=years\to &5 \end{cases} \\\\\\ I=1200(0.04)(5)\implies \boxed{I =240}\\\\ -------------------------------[/tex]
[tex]\bf ~~~~~~ \textit{Simple Interest Earned increased by 1 year}\\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\to& \$1200\\ r=rate\to 3\%\to \frac{3}{100}\to &0.03\\ t=years\to &6 \end{cases} \\\\\\ I=1200(0.03)(6)\implies \boxed{I =216}[/tex]
If the cos of angle x is 8/17 and the triangle was displayed to be two times big as the original what would be the value of the cos of x for the dilated triangle
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The cosine ratio is a ratio of two sides.
In the first triangle the ratio is 8/17.
In the second triangle the ratio is 16/34. This could be reduced back to 8/17 which would produce the same cosine value.
The value of cos of angle x of the dilated triangle would be exactly the same as in the first triangle cos (8/17).
How does dilation work?Dilation of a figure will leave its sides get scaled (multiplied) by same number. That number is called the scale factor of that dilation.
Its also called scaling of a figure, but due the involvement of coordinates, it involves a center of a dilation, which is like a pinned point which stays at same place after dilation.
Its like we enlarge or shorten the size of the figure (or keep it same, when scale factor = 1)
The cosine ratio is a ratio of the two sides.
We have been given If the cos of angle x is 8/17 and the triangle was displayed to be two times big as the original.
In the first triangle, the ratio is 8/17.
In the second triangle, the ratio is 16/34.
The second triangle could be reduced back to 8/17 which produces the same cosine value.
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The assessed value of property in Enterprise County is $196,000,000. The county supervisors feel the county needs $9,525,000 in revenue.
What is the tax rate (to 0.1 of a percent)?
5.1
4.9
4.7,
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Answer:
B. 4.9%.
Step-by-step explanation:
We have been given that the assessed value of property in Enterprise County is $196,000,000. The county supervisors feel the county needs $9,525,000 in revenue.
To find the tax rate we need to find $9,525,000 is what percent of $196,000,000.
[tex]\text{Tax rate}=\frac{\$9,525,000}{\$196,000,000}\times 100[/tex]
[tex]\text{Tax rate}=0.0485969387755102\times 100[/tex]
[tex]\text{Tax rate}=4.85969387755102\%[/tex]
Upon rounding our answer to nearest tenth of percent we will get,
[tex]\text{Tax rate}\approx 4.9\%[/tex]
Therefore, the tax rate is 4.9% and option B is the correct choice.
A tree casts a shadow that is about 15ft. long. Javier, who is about 5.5 ft. tall, is standing near the tree. Javier's shadow is about 4.5 ft. long. What is the estimated height, t, of the tree?
A. 9.6 ft.
B. 12 ft.
C. 15 ft.
D. 18 ft.
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PLEASE HELP ASAAPPPP <3
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A measure of ________ for a numerical data set describes how its values vary with a single number.
center
tendency
variation
shape @NeedHelpQuick546 @paki @texaschic101 @mjoxprm360,
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The measure of variation for a numerical data set describes how the values of a number vary with the single number. This measurement shows the difference in the properties of a certain number to the rest of the numbers in the numerical data set.
The term that describes how values of a numerical data set vary with a single number is 'variation'. It quantifies the spread of data values, helping to add context and meaning to averages in a data set.
Explanation:A measure of variation for a numerical data set describes how its values vary with a single number. Variation is a statistical concept that is used to quantify the spread or dispersion of a set of data values. A low variation indicates that the data points tend to be close to the mean (or expected value), while a high variation indicates that the data points are spread out over a wider range.
For example, if we have a data set of test scores, the variation can help us understand how close or far the scores are from the average test score. This provides more context and meaning to the overall average.
Learn more about Variation here:
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Helpp The Line Segment AB has endpoints at A(5,-3) and B(-2,0)
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What is the value of t?
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Divide both sides by P and r.
[tex] t = \dfrac{I}{Pr} [/tex]
Answer is: Choice D.
A stadium that seats 35,000 is slowly filling up with fans. The game starts at four o’clock. At noon the stadium owner estimates there are 4,000 fans who have already arrived early. At one o’clock he estimates just over 11,000 fans have found their seats and they appear to be coming in at a steady rate. He knows his stadium will be more than ninety percent full by game time. Choose the function below that best models this situation and tracks attendance from Noon to game time.
A. f(x)= .90x + 4,000
B. f(x)= 7,000x + 4,000
C. f(x)= 4,000x + 4,000
D. f(x)= 11,000x + 4,000
Answers
Answer:
B. f(x) = 7000x + 4000
Step-by-step explanation:
To find the best function for this situation, we need to list down all the things that we know first.
We currently have:
35000 total seats
4000 fans
11000 fans after an hour
So that means that after an hour, we had:
11000 fans - 4000 fans = 7000 fans
At one o'clock we had 7000 more fans arrive.
So we can assume that:
x = number of hours
f(x) = 7000x + 4000 will be the best function to use to find out if there that 90% of the stadium will be filled by game time.
To test this function let's use it:
f(1) = 7000(1) + 4000
f(1) = 11000
This is after hour 1.
Now let's see after hour 4 since the game starts at 4.
f(4) = 7000(4) + 4000
f(4) = 28000 + 4000
f(4) = 32000
So 90% of 35000 is:
35000 x 0.90 = 31500
By game time we have 32000 fans which is above 90% of the total number of seats.
So the stadium owners estimate is correct.
Chord AC intersects chord BD at point P in circle Z.
AP=3.5 in.
DP=4 in.
PC=6 in.
What is BP?
Enter your answer as a decimal in the box.
Answers
2. You have that:
AP=3.5 in
PC=6 in
DP=4 in
3. Then, by applying the "Intersecting chord theorem", you have:
(AP)(PC)=(BP)(DP)
4. When you substitute the values into (AP)(PC)=(BP)(DP), you obtain:
(3.5 in)(6 in)/BP(4 in)
5. Now, you must clear BP. Then:
(3.5 in)(6 in)/4 in=BP
21 in^2/4 in=BP
6. Therefore, the value of BP is:
BP=5.25 in
jason built a rectangular tool shed that is 8 meters wide and has an area of 96 square meters what is the length of Jason's tool shed? meters
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96 = length x 8
Length =96/8
Length = 12 metres
Generate the first 5 terms of this sequence:
f(1) = 0 and f(2) = 1, f(n) = f(n - 1) + f(n - 2), for n > 2.
A. 0, -1, 1, 0, 2
B. 0, 1, 1, 2, 3
C. 0, 1, 2, 2, 3
D. 0, 1, 1, 2, 2
Please helppp! Thanks! <3,
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I don't know if this is right... please someone help mee
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[tex]\bf \textit{using the pythagorean theorem}\\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{8^2+15^2}\implies c=\sqrt{289}\implies c=17[/tex]
now, it just so happen that the hypotenuse on that triangle, is actually 17, but we used the pythagorean theorem to find it, and the pythagorean theorem only works for right-triangles.
so if the hypotenuse is actually 17, that means that triangle there is actually a right-triangle, meaning that the radius there, and the outside line there, are both meeting at a right-angle.
when an outside line touches the radius line, and they form a right-angle, the outside line is indeed a tangent line, since the point of tangency is always a right-angle with the radius.
now, let's check for second circle
[tex]\bf \textit{using the pythagorean theorem}\\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{11^2+14^2}\implies c=\sqrt{317}\implies c\approx 17.8044938[/tex]
well, low and behold, we didn't get our hypotenuse as 16 after all, meaning, that triangle is NOT a right-triangle, and that outside line is not touching the radius at a right-angle, therefore is NOT a tangent line.
let's check the third circle
[tex]\bf \textit{using the pythagorean theorem}\\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{33^2+56^2}\implies c=\sqrt{4225}\implies c=\stackrel{33+32}{65}[/tex]
this time, we did get our hypotenuse to 65, the triangle is a right-triangle, so the outside line is indeed a tangent line.
Diego cut 7 smaller boards of equal length from a board that is 9 1/3 feet long. How long is each of the 7 smaller boards? Write your answer as an improper fraction using the / symbol for the fraction.
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It would give you 28/21 which would simplify to 4/3 and still leave you with an improper fraction
HELP PLEASE QUICK!
Triangle MNO is similar to triangle PQR. Which statement is true about the two triangles?
A. Angles M and N are congruent.
B. Angles M and Q are proportional.
C. Angles N and R are proportional
D. Angles O and R are congruent.
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Answer with explanation:
It is given that, ΔM NO ~ Δ P Q R.
When two triangles are Similar, their Corresponding angles are equal and corresponding Sides are proportional.
So, following holds true by C P C T.
∠M = ∠P
∠N=∠Q
∠O=∠R
Also,
[tex]\frac{MN}{PQ}=\frac{NO}{QR}=\frac{MO}{PR}[/tex]
Option D: Angles O and R are congruent.
f(x) = cot x PRE CALC HELP PLS?!
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is it even? well, even functions use the y-axis as a mirror, so a pre-image on the right-side, will be a mirror of the image on the left-side, but in this case it isn't so, if you put a mirror right on the y-axis, the left-side will look a bit different.
does it have a zero at x = 0? well, just look at the graph, is the line touching the x-axis at 0? nope.
does it have an asymptote at 0? well, surely you can see it right there.
William had $45 dollars to spend on vegetables. After buying 6 watermelons, he had $25.50 left. How much did each watermelon cost?
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19.5 / 6 = 3.25 per watermelon
Let us suppose cost of 1 watermelon be x.
Cost of 6 watermelons = 6x.
It is given after buying 6 watermelons, he had $25.50 left.Total amount William spends on vegetable is $45.
We can form an equation with above information's
6x+25.50=45
To solve for x we isolate the x term .25.50 is added to the x term .
Opposite of addition is subtraction .Subtracting 25.50 both sides we have:
6x=45-25.50
6x=19.50
Dividing both sides by 6
x=3.25.
Cost of each watermelon is $3.25.
What is the value of y?
A. Cannot be determined
B. 120
C. 60
D. 65
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30pts, will give brainliest.
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-3x + 9y = 18 or -4x +12y = 24
Both of these would make one of the variables cancel out when adding together.
Answer:
the answer is 24
Which properties justify the steps taken to solve the system?
4x+3y=25
2x+−5y=19
Drag the answers into the boxes to match each step.
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Multiplication property of equality
Multiplying the second equation by -2
Step 2
Additional property of equality
We add the two equations generated in step 1
Step 3
The division property of equality
We divide both sides of equation obtained in step 2 by 13
Step 4
Substitution property of equality
We substitute the value obtained in step 3 for y in the first equation.
Step 5
Simplify
Step 6
Additional property of equality
We add +3 on both sides of the equation in order to have an equation with a variable x.
Step 7
Division property of equality
We divide both sides of the equation obtained to get the value of x
Answer:
hope this helps :)
The data in the table represents the average number of daylight hours each month in Springfield in 2015, rounded to the nearest quarter.
Jan 9.5
Feb 10.5
March 12
April 13.25
May 14.5
June 15
July 14.75
Aug 13.75
Sept 12.5
Oct 11
Nov 9.75
Dec 9.25
Write the equation that best models the data.
What is the expected number of daylight hours in March 2020? Explain.
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For a better understanding of the solution provided here please go through the graph in the attachment. Please note that the solution provided here will be an approximate solution.
In the graph, the x axis is the number of months. 1 is January, 2 is February, so on and so forth.
The y axis is the expected number of daylight hours in those months. Each point has been depicted in the graph as shown.
Now, when we look at the graph we notice a pattern. The graph is nearly a cosine graph. Thus the equation that will best model the data will be an equation of the cosine form and will look like:
[tex] y=A cos(\omega t)+B [/tex]
where symbols have their usual meanings.
Let us find each term now:
We know that in December, the expected number of daylight hours is 9.25 hours. Thus, let us assume that the expected number of daylight hours in previous December was 9.25 hours too.
With this assumption let us proceed.
Amplitude=[tex] \frac{Highest - Lowest}{2} =\frac{15-9.25}{2} =2.875 [/tex]
The Vertical Shift Up is B=[tex] \frac{9.25+15}{2} = 12.125[/tex]
Also, the frequency can be calculated as: [tex] \omega=\frac{2\pi}{Period}= \frac{2\pi}{12}=\frac{\pi}{6} [/tex]
Thus, plugging in all the values, the final equation will be:
[tex] y=-2.875cos(\frac{\pi}{6}t)+12.125 [/tex]....(Equation 1)
The negative value of A suggests that the function starts below the horizontal y=12.125 line.
The above is the (Equation 1) that best models the given data.
Now, to find the expected number of daylight hours in March 2020, we just have to find the value of the time, t from January 2015 to March 2020.
Now, we know that each year has 12 months. So, 5 years from start of 2015 to end of 2019 will have 12 x 5=60 months. We need to add to this the first three months of the year 2020 to take us till March 2020. Thus, the value of t from January 2015 to March 2020 is 63.
Now, let us use the (Equation 1) to find the value of expected number of daylight in March 2020 by plugging in t=63 in it.
Thus,
Expected number of daylight in March 2020 is:
[tex] y=-2.875cos(\frac{\pi}{6}\times 63)+12.125 [/tex]
[tex] \therefore y=12.125 [/tex] hours.
What is the quotient?
3x^2 – 11 + 60/x+5
3x – 11 + 60/x+5
3x^2 – 11 – 50/x+5
3x – 11 – 50/x+5
Answers
Answer:
correct answer 3x – 11 + 60/x+5
Step-by-step explanation:
Which of the following points lie in the solution set to the following system of inequalities?
y ≤ x − 5
y ≤ −x − 4
(1, 10)
(−1, 10)
(10, 1)
(1, −10)
Answers
The answer is (1,-10)
need help ASAP
Noah has 3 3/4 quarts of motor oil. He puts 1/2 that amount into a riding lawn mower.
How much oil does Noah put into the riding lawn mower?
Express your answer in simplest form.
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Identify whether the described situation is an example of experimental probability or theoretical probability.
a.i just flipped a coin several times and the coin landed on heads more than tails. 6 times on heads and 5 times on tails. the probability of landing on heads is 6/11.
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For which polygon is the sum of the interior angles equal to 720 degrees?
A. Quadrilateral
B. Hexagon
C. Octagon
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PLEASE HELP ME !!!!!!!!!!!!!!!!!
LET ME KNOW IF ITS RIGHT
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45 + 22h = 221
Just by looking at the answer choices, A is already eliminated because it doesn't incorportate the 45 seconds. B does include the 45 seconds, but it subtracts, and in this case, we add time, not subtract. D is eliminated, because the h variable does not go with 45. The only equation that works is C and when you solve it, you get 8 hours. The answer is C.
Note: you solve the equation above by subtract 45 from both sides to get 176 = 22x, and dividing both sides by 22 to get x = 8.
4.02 Congruent Triangles, doess anyone have tips on how to do this? im getting confused with the SSS, SSA , SAS
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SSA is side side angle so two sides and an angle needs to be congruent for the triangles to be congruent.
SAS is side angle side so two sides and an included triangle need to be congruent for the triangles to be congruent.
Hope that helps:)
Why is it advantages to take market trends into consideration when planning a career path?
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Answer:
Its important because history repeats its self. some jobs won't be available in 5-10 years due to advance in technology, or a job that is fruitful/ profitable in one year may be completely dead and dry in the next.
Step-by-step explanation:
place the following steps in order to complete the square and solve the quadratic equation,x^2+7=0
Answers
this can be written as:
x^2+0x+7=0
To solve using completer square we proceed as follows:
x^2+0x=-7
but
c=(b/2a)^2
c=(0/2*1)^2=0
hence
x^2+0x+0=-7+0
this will be simplified as:
x^2=-7
getting the square root of both sides gives us:
sqrt(x^2)=sqrt(-7)
x=+/-√-7
but √-1=i
hence our answer will be:
x=+/-7i