Answer:
Sarah has to invest $502,958.58 today.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
[tex]T = E + P[/tex]
In this question:
[tex]t = 35, I = 0.07, T = 1700000[/tex]
She has to invest P today.
[tex]T = E + P[/tex]
[tex]1700000 = E + P[/tex]
[tex]E = 1700000 - P[/tex]
So
[tex]E = P*I*t[/tex]
[tex]1700000 - P = P*0.07*34[/tex]
[tex]3.38P = 1700000[/tex]
[tex]P = \frac{1700000}{3.38}[/tex]
[tex]P = 502958.58[/tex]
Sarah has to invest $502,958.58 today.
how would i go about this question?
Answer:
x = 48.40'
y = 33.01'
Step-by-step explanation:
These are all segments of a right triangle, so the Pythagorean theorem applies.
x^2 = 46.07^2 +14.82^2 = 2342.0773
x = √2342.0773 ≈ 48.40
__
x^2 = 35.39^2 +y^2
y^2 = 2342.0773 -35.39^2 = 1089.6252
y = √1089.6252 ≈ 33.01
Units are feet for both numbers:
x = 48.40'
y = 33.01'
_____
You always start any question by reading the whole question, identifying the (relevant) given information, and understanding what the question is asking for. You then make an assessment of what you know about the relationships between the given information and what is asked. Finally, you develop a strategy for getting from what you know to what you need to know.
Here, you're given segment lengths of right triangles, and you're asked for other segment lengths. This is not a trig problem--no angles are involved. It is a straight Pythagorean theorem problem. To make use of that theorem, or any formula, you need to have only one unknown. So, you can't start by solving the bottom triangle; you have to start with the upper one where there is only the unknown side x.
After you find x, then you have two known sides in the bottom triangle, so you can find y.
Here, x is an intermediate value in the computation of y. You do NOT use the rounded answer to the question when you're computing y. Rather, you use the full calculator precision for x, so that y can have best accuracy. Only at the end do you round to hundredths.
A bakery sells chocolate, cinnamon, and plain doughnuts and at a particular time has 6 chocolate, 6 cinnamon, and 3 plain. If a box contains 12 doughnuts, how many different options are there for a box of doughnuts
Answer:
2 doughnut boxes
Step-by-step explanation:
6+6=12
12=1 box
and the other 3 can go in a different box which would be 2 boxes
Nicole has x beads. Together we have 56 beads. How many beads will I have if I lose 1/4 of my beads? WILL GIVE BRANLIEST TO PERSON WHO SOLVES
Answer:
y = 42 - 3/4 * x
Step-by-step explanation:
From the statement we know that the following:
x + y = 56
y = 56 - x
x beads of Nicole and another person's beads, after losing a 1/4 of the beads, it would be:
y = (3/4) * (56 - x)
y = 42 - 3/4 * x
From here on you should know the number of beads that Nicole has or suppose, for example:
x = 12
y = 42 - 3/4 * 12
y = 33
Therefore, you would have 33 beads.
Find the volume of a cylinder that has a radius of 6 and a height of 10.
607
100 77
3607T
6007
Answer:
360π
Step-by-step explanation:
Put the given numbers in the volume formula and do the arithmetic.
V = πr²h . . . . . r is the radius; h is the height
V = π(6²)(10)
V = 360π
The volume is 360π cubic units.
Please answer this correctly
Answer:
w = 32
Step-by-step explanation:
Since these triangles are similar, you can set up a proportion like this:
[tex]\frac{24}{w} =\frac{36}{48}[/tex]
Cross multiply:
[tex]\frac{1152}{36w}[/tex]
Divide 1152 by 36:
w = 32
Please answer this correctly
Answer:
18
Step-by-step explanation:
Do 72 divided by 4 because it is a square so all sides are equal
Hiya! ✌.ʕʘ‿ʘʔ.✌
Okay, so with a square, ALL sides are EQUAL.
To find the perimeter of a shape, you just need to add the measure of all sides together.
What you can do, is since all sides are equal, and a square has four sides, just get the measure of ONE side and multiply that by 4! (ﾉ◕ヮ◕)ﾉ*:･ﾟ✧
The perimeter is 72 meters and if we find the value of u, we get the value of all sides.
Let's set this up as an equation:
P = 4u where P = perimeter and u = measure of one side
Let's insert the given value (72) into the equation for perimeter
72 = 4u
Now we have to solve for u, and to do that, we have to get it by itself on that side of the equation. u is being multiplied by 4, so do the opposite by dividing both sides of the equation by 4!
72/4=18
4u/4=u
Now our equation looks like this:
18 = u
So the value of u is 18! (✿◠‿◠)
To prove it, insert it into the formula... P = 4(18)... P = 72.
Boom! :D
Have a lovely day~ ≧◡≦
Which polynomial is prime X squared -36X squared +16 X squared minus 7X +12 X squared minus X -20
Answer:
x^2 +16 is prime
Step-by-step explanation:
A prime polynomial is one that cannot be factored using integers.
x^2 -36 = (x -6)(x +6) . . . . not primex^2 +16 . . . . . primex^2 -7x +12 = (x -3)(x -4) . . . . not primex^2 -x -20 = (x -5)(x +4) . . . . not primeA large department store is prepared to buy 3,800 of your tie-dye shower curtains per month for $5 each, but only 3,600 shower curtains per month for $10 each. What is the linear demand function for your tie-dye shower curtains
Answer:
q= -40p+c
q= -40p+4,000
Step-by-step explanation:
$5 each for 3800 tye-dye shower curtains
$10 each for 3600 tye-dye shower curtains
Slope of the demand line is
3800-3600/5-10
=200/-5
= -40
Demand function is
q= -40p + c
Where c is a constant
For q=3800 and p=$5
Demand function is
q= -40p + c
3800= -40(5)+c
3800= -200+c
c=3800+200
c=4,000
Linear demand function is
q= -40p+4,000
Please Help I Need Help
Answer:
I got 35
Step-by-step explanation:
x^2+2x+y^2=20 find the center and radius of the circle
Answer:
Center: (-1,0)
Radius: [tex]\sqrt{21}[/tex]
Step-by-step explanation:
You can complete the square for x:
[tex]x^2+2x+y^2=20 \\\\(x^2+2x+1)-1+y^2=20 \\\\(x+1)^2+y^2=21[/tex]
The standard form for a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex], where h is the x coordinate of the center of the circle, k is the y coordinate, and r is the radius. Therefore, the center of this circle is at (-1,0), and the radius is [tex]\sqrt{21}[/tex]. Hope this helps!
The graph of the function f(x) = ax2 + bx +C
(where a, b, and care real and nonzero) has two
x-intercepts. Explain how to find the other x-
intercept if one x-intercept is at
C + 3,0).
Answer:
The axis of symmetry is -b/2a
The x-intercept shown is 3 units away from the axis of symmetry.
The other x-intercept also must be 3 units away from the axis of symmetry but on the opposite side.
Subtract 3 from the axis of symmetry.
The other x-intercept is (-b/2a-3,0)
Step-by-step explanation:
Gueguen and Jacob asked waitresses to wear different colored T-shirts on different days for a six-week period and recorded the tips left by male customers. The results show that male customers significantly bigger tips to waitresses when they were wearing red. For this study, identify the independent variable and the dependent variable
Answer:
Dependent Variable = tips left by male customers
Independent Variable = T-Shirt color worn by waitresses
Step-by-step explanation:
Dependent variable is the variable that changes when the independent variable changes.
In other words, when the independent variable is varied, the dependent variable changes. The dependent variable is the effect or outcome of the manipulation of the independent variable.
In the study referred to in the question above, the amount of tips given to waitresses is dependent on the color of the T-shirt the waitresses wear.
Therefore, the dependent variable is T-Shirt color, while the independent variable is the amount of tips given.
The highest temperature ever recorded in a particular city was 105F, and the lowest was -27F. Use absolute values to find the difference between the highest and the lowest temperatures.
PLEASE HELP IM TIMED
Answer:
ΔT =313.5 K - 240.3 K = 73.2 K
Step-by-step explanation:
It's more confortable to work in °C to determine the Absolute value
T°C + 273 = T° K (Kelvin grades)
ΔT = Highest T° in K - Lowest T° in K
We make the conversion to Celsius degree, from Farenheit:
(x F - 32°) . 5/9 = °C
(105 F - 32°) . 5/9 = 40.5°C
(-27 F - 32°) . 5/9 = - 32.7 °C
40.5°C + 273 = 313.5 K
-32.7 °C + 273 = 240.3 K
Answer: 132 Should be your answer.
Step-by-step explanation: I don't know how to explain very correctly, but I do know that is correct, have a nice day.
Grant has a sample of 36 rats in his study. If he conducts a single-sample t test, what is the value of the degrees of freedom?
37
6
36
35
Answer:
35
Step-by-step explanation:
Given
Sample of rat
Population = 36
Required
Find the degree of freedom.
Given that the sample is a single-sample t test;
A single-sample t test has just one parameter has its estimate;
And its degree of freedom is calculated as thus;
[tex]df = n - 1[/tex]
Where df represents the degree of freedom and n represents the sample size;
By substituting n = 36;
[tex]df = 36 - 1[/tex]
[tex]df = 35[/tex]
Hence, the degree of freedom of the sample of 36 rats for a single-sample t test is 35
Answer:
The degrees of freedom if we are conducting a test about the true mean are given by:
[tex] df =n-1[/tex]
And replacing the info given we got:
[tex] df = 36-1=35[/tex]
And the best option would be:
35
Step-by-step explanation:
For this case we know that the sample size is n=36.
The degrees of freedom if we are conducting a test about the true mean are given by:
[tex] df =n-1[/tex]
And replacing the info given we got:
[tex] df = 36-1=35[/tex]
And the best option would be:
35
A frequency distribution for the class level of students in an introductory statistics course is shown. Two students are randomly selected without replacement. Complete parts (a) through (d).
Class
Frequency
Freshman
6
Sophomore
16
Junior
12
Senior
7
a. Determine the probability that the first student obtained is a junior and the second a senior.
Answer: [tex]\dfrac{21}{410}[/tex].
Step-by-step explanation:
Formula : Probability = [tex]\dfrac{\text{favorable outcomes}}{\text{Total outcomes}}[/tex]
From the given frequency distribution for the class level of students in an introductory statistics course, we have
Number of Junior= 12
Number of Senior = 7
Total students = 6+16+12+7 = 41
Probability that the first student obtained is a junior = [tex]\dfrac{12}{41}[/tex]
Probability that the the second student obtained is a senior. [tex]=\dfrac{7}{41-1}=\dfrac{7}{40}[/tex]
Then, the probability that the first student obtained is a junior and the second a senior would be [tex]\dfrac{12}{41}\times\dfrac{7}{40}=\dfrac{21}{410}[/tex]
Hence, the required probability is [tex]\dfrac{21}{410}[/tex].
Isabella's house has 3 bedrooms. Each bedroom is 12 feet long, 10 feet wide, and 8 feet high. Isabella must paint the walls of all the bedrooms. Doorways and windows, which will not be painted, occupy 60 square feet in each bedroom. How many square feet of walls must be painted?
Answer:
876 square feet need to be painted.
Step-by-step explanation:
There are four walls in each bedroom, since she can't paint floors or ceilings. So we calculate the number of square feet of wall there is in one bedroom
(12*8)+(12*8)+(10*8)+(10*8)-60=160+192-60=292
There are 3 bedrooms so
292*3=876
Given that 5−3x=Px+R, in order to create an equation with no solutions, when R=7, then P= [blank]
Enter the value that correctly fills in the blank, like this: 42
Answer:
p=-3
Step-by-step explanation:
5-3x = Px +7
-7 from both sides
-2-3x=Px+7
add 3x to both sides
-2=Px+3x
P =-3 because it will get rid of variable
Answer:
x= -22.5
Step-by-step explanation:
5–3x=Px + R
r= 7
P= 42
5–3x =42x + 7
-3x -42x = 7- 5
-45x =2
x= -22.5
What is the difference when you subtract 8 from 5
Answer:
-3
Step-by-step explanation:
5-8
-3
Answer:
=-3
Step-by-step explanation:
we have to find the difference when 8 is subtracted from 5
difference=5-8
the digit after from will come first
=-3
i hope it will help you
Please explain as well 4x+3y=24 6x+5y=346x+5y=34 x= y=
Answer:
x = 9 y = -4
Step-by-step explanation:
4x + 3y = 24 . (-5) ------> -20x -15y = -120 (A)
6x + 5y = 34 . (3) -------> 18x + 15y = 102 (B)
(A) + (B) ----------> -2x = -18 ---------> x = 9
4.9 + 3y = 24
3y = 24 - 36
3y = -12
y = -4
Nielsen Media Research provided the list of the 25 top-rated single shows in television history (The World Almanac, 2012). The following data show the television network that produced each of these 25 top-rated shows.
CBS CBS NBC FOX CBS CBS NBC NBC NBC ABC ABC NBC ABC ABC NBC CBS NBC CBS ABC NBC NBC CBS CBS ABC CBS
a. Construct a frequency distribution, a relative frequency distribution, and a percent frequency distribution for the data.
b. Which network or networks have done the best in terms of presenting top-rated television shows? Compare the performance of ABC, CBS, and NBC.
Answer:
a.
Network CBS NBC FOX ABC
f 9 9 1 6
Relative f 0.36 0.36 0.04 0.24
Percent f 36 36 4 24
b.
CBS and NBC have done best in presenting top-rated television shows.
The most top rated shows are from CBS and NBC while ABC network also has top rated shows but CBS and NBC percentages are higher.
Step-by-step explanation:
a.
Network f Relative f Percent f
CBS 9 0.36 36
NBC 9 0.36 36
FOX 1 0.04 4
ABC 6 0.24 24
"f" represents the frequency of network.
"Relative f" represents relative frequency of Network.
"Percent f" represents percent frequency of Network.
Frequency is computed by counting the number of times value repeated in the data. So, the frequency distribution is
Network Frequency
CBS 9
NBC 9
FOX 1
ABC 6
Relative frequency is computed by dividing the frequency to the sum of frequencies.
sum of frequencies=9+9+1+6=25.
So, the relative frequency distribution is
Network Relative frequency
CBS 9/25=0.36
NBC 9/25=0.36
FOX 1/25=0.04
ABC 6/25=0.24
Percent frequency is computed by multiplying relative frequencies to 100.
So, the Percent frequency distribution is
Network Percent frequency
CBS 0.36*100=36
NBC 0.36*100=36
FOX 0.04*100=4
ABC 0.24*100=24
b.
From frequencies, relative frequencies and percent frequencies we can see the CBS and NBC have equally higher cont of top rated shows comparative to ABC and FOX. ABC has second highest top rated shows while Fox has least top rated shows among other networks.
MATHEMATICS: A boy leaves home at 09:15 hours and arrives at 10:05 hours. If he travels nonstop at an average speed of 6kmh ,what is the distance,in km of his home from school?
Answer:
5 km.
Step-by-step explanation:
We have to calculate the distance if we apply the speed formula that would be the distance in a given time:
v = d / t
therefore, if we solve for distance it would be:
d = v * t
Now the speed is 6 km / h but the time must be calculated, it leaves at 9:15 and returns at 10:05, that is, there is no exact time but 50 minutes, one hour equals 60 minutes, therefore:
50 min * 1 h / 60 min = 0.833 h, that is, the child took 0.833 hours to get to school, now if we replace:
d = 6 * 0.8333
d = 5
In other words, the distance between the school and the house is 5 km.
The volume of the triangular prism is 54 cubic units.What is the value of x?
3
5
7
9
Answer:
x=3
Step-by-step explanation:
the volume of the prism with triangular base is 54 unit³
The base is a triangle with, base i.e 4 units and height i.e x units
Also, height of the prism = 3x
So, volume of the prism is,
And
,
[tex]Area_{Triangle}=\dfrac{1}{2}\times base\times Height_{Triangle}=\dfrac{1}{2}\times 4\times x=2x\ unit^2[/tex]
Then,
[tex]V_{Prism}=2x\times 3x=6x^2[/tex]
As the volume is given as 54 unit³, hence
6x²=54
x²=9
x=3
The mean playing time for a large collection of compact discs is 34 minutes, and the standard deviation is 6 minutes. (a) What value (in minutes) is 1 standard deviation above the mean
Answer:
40 minutes
Step-by-step explanation:
Let's take the average playing time as u, and let the standard deviation be [tex] \sigma [/tex].
Thus,
[tex] u = 34 [/tex]
[tex] \sigma = 6 [/tex]
To find the value of 1 standard deviation above the mean, we have:
[tex] u + 1\sigma [/tex]
Since u = 34 minutes and [tex]1\sigma [/tex] = 6 minutes, we now have:
[tex] = 34 + 6 = 40 [/tex]
The value (in minutes) of 1 standard deviation above the mean is 40 minutes.
Answer:
40 minutes
Step-by-step explanation:
Given that:
The average time playing time of compact disc in a large collection= 34 minutes and the standard deviation = 6 minutes.
Let [tex]\mu[/tex] represent the average playing time and [tex]\sigma[/tex] to be the standard deviation.
So;
[tex]\mu = 34 \\ \\ \sigma = 6[/tex]
The value for 1 standard deviation above the mean is;
[tex]x+1 s= 34+6 \\ \\ = 40[/tex]
Fill in the blank.
23 x 6 = (20 + 3) * 6
23 x 6 = 1+ (3x6)
20 * 6
20 * 3
20 * 5
Question:
Fill in the blank.
23 x 6 = (20 + 3) * 6
23 x 6 = _ + (3x6)
Options
20 * 6
20 * 3
20 * 5
Answer:
20 * 6
Step-by-step explanation:
Given
Expression 1: 23 * 6 = (20 + 3) * 6
Expression 2: 23 * 6 = __ + (3 * 6)
Required
Fill in the blank
From Expression 1
23 * 6 = (20 + 3)*6
Using Distributive Property; The expression becomes
23 * 6 = 20 * 6 + 3 * 6
23 * 6 = (20 * 6) + (3 * 6)
By Comparing this with expression 2
23 * 6 = __ + (3 * 6)
The blank position is occupied by 20 * 6.
Hence, the correct option that fills the missing blank correctly is 20 * 6
The correct option that fills the missing blank correctly is 20 * 6.
The blank position is occupied by 20 * 6.
Here, we have,
Given
Expression 1: 23 * 6 = (20 + 3) * 6
Expression 2: 23 * 6 = __ + (3 * 6)
Required
Fill in the blank
From Expression 1
23 * 6 = (20 + 3)*6
Using Distributive Property;
The expression becomes
23 * 6 = 20 * 6 + 3 * 6
23 * 6 = (20 * 6) + (3 * 6)
By Comparing this with expression 2
23 * 6 = __ + (3 * 6)
The blank position is occupied by 20 * 6.
Hence, the correct option that fills the missing blank correctly is 20 * 6.
To learn more on Expression click:
brainly.com/question/14083225
#SPJ6
complete Question:
Fill in the blank.
23 x 6 = (20 + 3) * 6
23 x 6 = _ + (3x6)
Options
20 * 6
20 * 3
20 * 5
You own a Roulette Wheel, which has 37 (European Version) equally distributed parts, each has a number number associated. 0 is green, the rest 36 includes 18 red and 18 black. The money you have to pay to the gambler for hitting green, red and black are 10, 1 and 2 dollars respectively. How much you have to charge per play in order to make sure you will make money?
Answer:
To expect a profit in the long run, we have to charge more than $1.73 per play.
Step-by-step explanation:
We hace a roulette wit 37 slots.
One is green, eighteen are red and eighteen are black.
The expected pay for the gambler can be calculated as the sum of the probability of getting green, red or black multiplied by the respective pay.
[tex]E(g)=\sum p_iG_i=p_gG_g+p_rG_r+p_bG_b\\\\\\E(g)=\dfrac{1}{37}(10)+\dfrac{18}{37}(1)+\dfrac{18}{37}(2)\\\\\\E(g)=\dfrac{10+18+36}{37}=\dfrac{64}{37}\approx1.73[/tex]
If $1.73 per play is the expected pay that will receive the gambler, we have to charge at least this amount to make sure we will make a profit in the long run.
(Geometry) PLZ HELP ASAP!
Answer: 133 m^2
Step-by-step explanation:
The area of the parallelogram is:
[tex]A = b\times h=9.5\times14=133 m^2[/tex]
Can someone plz help me solved this problem! I need help ASAP plz help me!
Answer:
The three numbers are 1, 2, and 4.
Step-by-step explanation:
[tex]x+y+z=7\\3x+1=z\\z+x=5[/tex]
From these equations, we get:
[tex]x=1\\y=2\\z=4[/tex]
Which fits all the equations we have written.
As a basketball is bounced, the motion is parabolic. In the graph above, y = 0 represents hand level for a basketball player. Find the focus and directrix of the middle bounce (parabola).
Answer:
A on edge2020
Step-by-step explanation:
The two-way table shows the number of students in a school who have cats and/or dogs as pets.
How many more students have cats than dogs?
Answer:
3
Step-by-step explanation:
43-40=3
Please help me !!!!?
Let [tex]n[/tex] be the smallest integer; then, the other two integers are [tex]n+1[/tex] and [tex]n+2,[/tex] so we have the equation [tex]3n+3=63.[/tex] Solving, we have [tex]n=20,[/tex] so the integers are [tex]\boxed{20,21,22}.[/tex]
