Answer:
1. Cost of a quantity of 1.
2. Divide the cost by quantity.
3. $0.18 per ounce
work: 2.15 / 12 = 0.1791666666666 and round
use lagrange multipliers to find the maximum and minimum
A certificate of deposit with principal $150 earns 4% annual interest for 2 years. Select all the options that would earn the same amount of interest.
$300 at 2% for 2 years
$150 at 6% for 18 months
$400 at 3% for 1 year
$100 at 1% for 8 years
$50 at 48% for 6 months
Answer:
a,c
Step-by-step explanation:
You would get $12 in the certificate of deposit, and
a. 12
b. 13.5
c. 12
d. 8
e. 24
so, a and c
Hope this helps!
Let me know if it does and if the answer is right
Interest earned in options $400 at 3% for 1 year, $400 at 3% for 1 year
and $50 at 48% for 6 months has the same interest earned by, as $150 earn 4% annual interest for 2 years.
As mentioned in the question, A certificate of deposit with a principal of $150 earns 4% annual interest for 2 years.
What is simple interest?Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan.
here,
1. $300 at 2% for 2 years
Simple Interest = principal × rate × time / 100
Simple interest = 300 × 2 /100 × 2
Simple interest = $12
Similarly, interest earned by other options is given as,
2. $13.5
3. $12
4. $8
5. $12
Thus, Options A, C, and E are correct.
Learn more about simple interests here:
https://brainly.com/question/26457073
#SPJ2
Jacob has a headache. He can't stand long lists. "Can you repeat that again?" he asks. "It's easy. Name a number that is greater than 10, less than 20, is a multiple of 7, and FINALLY is a factor of 42," Replies Eric.
Answer:
Well here are the constraints given to us here
Lets make this number “x”
x > 10
x< 20
7x
X = 1, 2, 6, 7, 21, 42
So with all this we can come up with this
10 < 7x < 20 = 1, 2, 3, 6, 7, 14, 21, 42
So lets cut this down a bit
It’s gotta be a multiple of 7 so we can get rid of 3 of the solutions
It can be 7, 14, 21, 42
Now it has to be more then 10 but less then 20
So that gets rid of everything except 14
14 is your answer
Describe and correct the error in finding the tenth term of the arithmetic sequence 4, 12, 20, 28.
(correct the error below!)
first term =4
common difference =8
tenth term =4 +10(8) = 84
Answer: The tenth term is 76
=======================================================
Explanation:
We use this arithmetic sequence formula to get the nth term
[tex]a_n = a_1 + d(n-1)[/tex]
Plug in [tex]a_1 = 4, \ d = 8, \ n = 10[/tex] and you should get the following:
[tex]a_n = a_1 + d(n-1)\\\\a_{10} = 4 + 8(10-1)\\\\a_{10} = 4 + 8(9)\\\\a_{10} = \textbf{76}\\\\[/tex]
The tenth term is 76
---------
We can verify this by listing out the terms one by one. Start at 4, add on 8 each time, until you generate the 10th term. A table like the one shown below is a good way to keep track of all the terms.
[tex]\begin{array}{c|c}\boldsymbol{n} & \boldsymbol{a_n}\\1 & 4\\2 & 12\\3 & 20\\4 & 28\\5 & 36\\6 & 44\\7 & 52\\8 & 60\\9 & 68\\10 & \textbf{76}\\\end{array}[/tex]
---------
In short, the error is with the "10" in the expression 4+10(8). The student should have used 9 instead. This is because of the n-1 term in [tex]a_n = a_1 + d(n-1)[/tex] which shifts everything one spot to the left.
Assuming lines m and n are parallel, what is the value of x?
Pleaseee help me A medical equipment industry manufactures X-ray machines. The unit cost C (the cost in dollars to make each X-ray machine) depends on the number of
machines made. If x machines are made, then the unit cost is given by the function (x) -0.8x? - 256x+29,444. What is the minimum unit cost?
Do not round your answer.
Answer: 8,964
Step-by-step explanation: x= -b/2a. So, -(-256)/2(0.8)= 160. Plug in 160 to the whole equation.
0.8(160)^2 -256(160)+29444
=8,964
simplify by combining like terms 3k-2k
Answer:
k
Step-by-step explanation:
3k-2k=1k
1k=k so this is the answer
4x – 5y = 15
m=
b=
(I need to graph the linner equation)
Answer:
yea I agree that this is correct and it's 15 and it's 4x
Complete the table using the equation y = 8x + 8 ( helppp plsss)
Answer:
0, 8, 16, 24, 32
Step-by-step explanation:
plug in the values given for x into the 8x+8 equation
Example:
8(-1)+8
8(0)+8
Answer:
(-1, 0), (0, 8), (1, 16), (2, 24), (3, 32)
Step-by-step explanation:
To find answers to problems like these, take the x-value, which in this case is -1, and replace it with the variable,
y = 8*-1 + 8. Then do the rest, y = -8 + 8, y = 0. You already have the x, -1, and now you got y, 0. Then pit in ordered pairs, x first, then y, (-1, 0)
solve for the wavelength frequency and energy then identify the type of electromagnetic wave to complete the table
Answer:
See attachment
Step-by-step explanation:
λν = c [Wavelength, λ (lambda), times frequency, ν (nu), equals the speed of light.]
c = 3.0 x 108 m/s.
E = hν
h = Plank's constant = 6.626x10-34 J-s
I put the data in a spreadsheet and calculated the values as per the equations above. The table showing the types of energy was not attached, so I left that column blank. I assume it is looking for labels such as UV, Visible, IR, Radio, etc.
At the craft store, Ivan bought a bag of orange and purple marbles. The bag contained 48 marbles, and 75% of them were orange. How many orange marbles did Ivan receive?
Answer:
jjjjjjjjjjjjjjjjjjjjjjjj
Write an equation in slope-intercept form of the line shown. (-6, 4) (-2, 2)
Draw a square and its diagonals. Guess the measures of these angles.
Answer:
90 degrees on each angle.
Step-by-step explanation:
A square is symmetrical on all sides, so each side has to be a right angle. Each right angle adds up to 360 degrees, the total degrees of a quadrilateral.
The price of a stock was $24.56 per share. An investor decided to spend $5,000 to buy shares of the stock. To the nearest whole number, what is the maximum number of shares of stock that the investor can buy
Answer:
203 i just did it
Step-by-step explanation:
Answer:
the answer is 203
Step-by-step explanation:
Just got it right on edge 22
Given that
2
x
−
9
y
=
11
Find
y
when
x
=
7
Answer:
y = 1/3
Step-by-step explanation:
[tex]2x-9y=11\\\\2(7)-9y=11\\\\14-9y=11\\\\-9y=-3\\\\y=\frac{1}{3}[/tex]
2 1/5
Step-by-step explanation:
Any where u see x u write 7;2(7)-9y=11
14-9y=11
Divide both sides by the difference of 14 and 9y
11/5y ; y=2 1/5
1 Solve for the unknown variable:
Answer:
Approximately 6.4
Step-by-step explanation:
We can use the pythagorean thereom here, that tells us (a^2)+(b^2)=c^2. C is the hypotenuse, the side opposite from the right angle, while a and b are the other sides. We can insert 5 and 4 as a and b, and solve for c
:(5^2)+(4^2)=c^2
:25+16=c^2
:41=c^2
:sqrt(41)=6.4=c (We square rooted both sides. 6.4 is only rounded to the nearest hundredths place.) Hope this helps!
Answer:
c = 6.4
Step-by-step explanation:
To find c, we need to use Pythagoras theorem which is:
[tex]a^2 + b^2 = c^2[/tex]
Plug known variables in:
[tex]5^2 + 4^2 = c^2\\25 + 16 = c^2\\\sqrt{25 + 16} = c\\\sqrt{41} = c \\c = 6.403\\c = 6.4[/tex]
Hope this helps!
Solve the system of linear equations below.
6x + 3y = 33
4x + y = 15
A x = 2, y = 7
B. X = -13, y = 7
C x = -2/3, y = 12*2/3
D. x = 5, y = 1
Answer:
A
Step-by-step explanation:
6x+3y=33 <=> 2x+y=11<=>4x+2y=22 (1)
4x+y=15 (2)
(1)-(2) <=> y=7
Answer:
A x = 2, y = 7
Step-by-step explanation:
6(2)+3(7)= 33
4(2)+(7)=15
22.45=x+5y,
27.45=x+7y
Answer
7
Step-by-step explanation:
it costs $20 per day to board a dog and $16 per day to board a cat. The kennel needs to make at least $800 per day to cover expenses, but can hold no more than 80 total animals. Write a systems of inequalities, graph , and give two possible solutions to the number of dogs and cats they can board each day
Answer:
Step-by-step explanation:
the anwer is r=dog y=cat 20r+16y>800-->y>-5/4 r+50 20r-16y<r+80 40 dogs+20 cats 15+55 cats
If you can get poland spring water, 3 for $11.00 how much would be 2 cases of water?
explain
3 cases /3= $11 /3
1 case x 2= 11/3 x2
2 case = 22/3 = (round to the hundreth) $7.33
one angle of a right triangle measures 80degrees.what is the measure of the other acute angle
Answer:
10°Step-by-step explanation:
the sum of the internal angles of a triangle is 180 °, it is a right triangle so an angle is 90 °, you know another one and it is 80 °, from 180 ° you remove the two known angles and you have the measure of the unknown one.
180 - 90 - 80 =
10°
Benny has a baseball card collection he has 13,789 cards he wants to put the card in a scrapbook that holds 15 cars on a page how many pages does Denny need in his scrapBook.
Answer:
920 pages
Step-by-step explanation:
Divide 13,789 by 15, you should get 919.27 so just round up so you can hold all the cards.
I need some help! 50 POINTS WILL MARK BRAINIEST!
Question A, Part 1,
A media company wants to track the results of it's new marketing plan, so the video production manager recorded the number of views for one of the company's online videos. Thw results of the first 5 weeks arw shown in the table.
Weeks x, 0, 1, 2, 3, 4, 5
Views F(x), 5,120, 6,400, 8,000, 10,000, 12,500, 15, 625
Write an equation to model the relationship between the number of weeks, x, and the number of views F(x). Enter the correct answer in the box by replacing the values or a and b
f(x) = a(b)^x
Part B
During the same time, the digital print manager tracked the number of visits to the websites homepage. He found that before launching the new marketing plan, there were 4,800 visits. Over the course of the next 5 weeks, the number of site visits increased by a factor of 1.5 each week.
Write an equation to model the relationship between the number of weeks, x, and the number of site visits f(x).
Enter of the correct answer in the box by replacing the values or a and b.
f(x) = a(b)^x
Part C
During their team meeting, both managers shared their findings. Complete each statement describing their combined results.
Select the correct answer from each drop down menu.
The initial number of video views was ___(A:More than, B:The same as, C:Fewer than). the initial number if site visits, and the number if video views grew by___(A:A smaller factor than, B:The same factor as, C:A larger factor than), the number of site visits.
The difference between the total number of site visits and the video views after 5 weeks is___(A:20,825, B:36,450, C:52,075, D:15,625)
Please help it'd be really helpful! I'm having a lot of issues and it's due really soon thank you!! <3
Answer:
A) [tex]f(x)=5120(1.25)^x[/tex]
B) [tex]f(x)=4800(1.5)^x[/tex]
C) see below
Step-by-step explanation:
Part A
Hopefully this formatting looks ok:
| Weeks x | Views f(x) |
| ------------ | -------------- |
| 0 | 5120 |
| 1 | 6400 |
| 2 | 8000 |
| 3 | 10000 |
| 4 | 12500 |
| 5 | 15625 |
| ------------ | -------------- |
That's my attempt at a table.
We need an equation in the form of:
[tex]f(x)=a(b)^x[/tex]
where a is the starting value and b is the growth factor.
First, check the difference between each week:
[tex]6400 - 5120=1280\\8000 - 6400=1600\\10000 - 8000=2000\\12500 - 10000=2500\\15625 - 12500=3125\\[/tex]
Then, check the scale factor for each of the differences:
[tex]16000\div 12080 = 1.25\\2000\div 1600=1.25[/tex]
etc..
The difference grows by 1.25x each week. That is, a grow factor of 1.25.
Now that we have both the starting value and the grow factor, we can write the equation:
[tex]f(x)=5120(1.25)^x[/tex]
If you want to test it, for example, calculate for the 3rd week:
[tex]f(3)=5120(1.25)^3\\f(3)=5120(1.953125)\\f(3)=10000[/tex]
Part B
This is very similar to Part A. The starting value and growth factor are given this time, so all you need to do is write the equation with the new values.
[tex]f(x)=4800(1.5)^x[/tex]
Part C
The initial number of video views (5120) was more than the initial number of site views (4800), and the number of video views grew (1.25) by a smaller factor than the number of site visits (1.5).
The difference between the total number of site visits and the video views after 5 weeks is 20,825.
[tex]f(5)=5120(1.25)^5=15625 -video\\f(5)=4800(1.5)^5=36450-site\\36450-15625=20825[/tex]
The equation to model the relationship between the number of weeks and the number of views will be f(x) = 5120(1.25)^x
How to depict the equation?From the information given, the difference in the views will be:
6400 - 5120 = 1280
8000 - 6400 = 1600
10000 - 8000 = 2000
The scale factor will be:
= 1600/1280 = 2000/1600
= 1.25
Therefore, the growth factor is 1.25.
The equation to model the relationship between the number of weeks, x, and the number of site visits is 4800(1.5)^x.
Lastly, the difference between the total number of visits and the video views will be:
= 4800(1.5)^5 - 5120(1.25)^5
= 36450 - 15625
= 20825
Learn more about equations on:
https://brainly.com/question/13763238
#SPJ2
find the measure of the indicated angle that makes lines u and v parallel
Answer:
55 degrees
Step-by-step explanation:
if u and v are parallel and cut by the transversal in the middle the two angles would be congruent or equal to each other , therefore the angle in question is also 55
multiply 4 (-52/3) in simplest form
Answer:
Should be -69 1/3
Step-by-step explanation:
Let X equal the decimal number
Equation 1:
X=69.3333333333¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
With 10 digits in the repeating decimal group,
create a second equation by multiplying
both sides by 1010 = 10000000000
Equation 2:
10000000000X=693333333333.3333333333¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
Subtract equation (1) from equation (2)
10000000000XX9999999999X===693333333333.3333333333...69.3333333333...693333333264
We get
9999999999X=693333333264
Solve for X
X=6933333332649999999999
Find the Greatest Common Factor (GCF) of 693333333264 and 9999999999, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 3333333333,
693333333264÷33333333339999999999÷3333333333=2083
Simplify the improper fraction,
=6913
In conclusion,
−69.3333333333¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯=−6913
can someone please tell me what is 12 x 8 +5?
Use BODMAS
first solving 12×8
which is = 12×8=96
than add +5
so, 96+5= 101
Hope This HelpsAnswer: 12x8=26+5= 31
Step-by-step explanation:
ANSWER ASAP WILL AWARD BRAINLIEST
Answer:
18/5 + −8/5√3 (as a decimal: 0.828719)
At a certain theater 4 adult tickets and 2 children's tickets cost
$36.50. Three adult tickets and 5 children's tickets cost $38.75. Which
system of equations could be used to determine the cost of one adult
ticket, a, and one child's ticket, c?
A. 4a +2c= 36.50
3a + 5c = 38.75
B. 7a+ 7 = 14
a+b= 75.2
C. 7a = 36.50
5a + 7c = 38.75
D. 4a + 2c = 38.75
За + 5c = 36.50
And how much is an adult ticket?how much is an child ticket?
Answer:
A
Step-by-step explanation:
if a = amount of adult tickets and c = amount of children's tickets
4 adult tickets plus 2 children's tickets equals $36.50
4a + 2c = 36.50
Also, 3 adult tickets and 5 children's tickets equals $38.75
3a + 5c = 38.75
Find the equation of the line passing through the following : (-1;6) and (-3;0)
Please help...
Answer:
Step-by-step explanation:
[tex](x_{1} , y_{1}) = (-1,6)\\\\(x_{2},y_{2}) = ( -3, 0)\\\\Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_1}}\\\\\\=\dfrac{0-6}{-3+1}\\\\\\=\dfrac{-6}{-2}\\\\=3[/tex]
Equation of the line: y= mx +b
y = 3x + b
Substitute ((-1 , 6) in the above equation
6 = 3*(-1) + b
6 = -3+b
6 +3 = b
b = 9
y = 3x + 9
The nth term of a sequence is 3n² Work out the value of the 15th term.
Answer:
a₁₅ = 675
Step-by-step explanation:
Substitute n = 15 into the nth term formula
a₁₅ = 3(15)² = 3 × 225 = 675