Answer:
See Explanation
Step-by-step explanation:
The question is incomplete. However, the available details is enough to work out a solution.
Considering the first even number: 2
In this case, n = 1
The sum of the first even term is 2.
Represent the sum as a product:
[tex]2 = 1 * 2[/tex]
Considering the first two even numbers: 2 and 4
In this case, n = 2
The sum of the first two even terms is 6
Represent the sum as a product:
[tex]6 = 2 * 3[/tex]
Considering the first three even numbers: 2, 4 and 6
In this case, n = 3
The sum of the first two even terms is 12
Represent the sum as a product:
[tex]12 = 3 * 4[/tex]
Notice the pattern from n = 1 to 3
[tex]2 = 1 * 2[/tex] --- n = 1
[tex]6 = 2 * 3[/tex] --- n = 2
[tex]12 = 3 * 4[/tex] --- n = 3
------------------------------------
It follows that, the sum when represented as a product is: [tex]n * (n + 1)[/tex]
So, the sum of the first 52 even terms would be:
[tex]52 * (52 + 1)[/tex]
Where n = 52
[tex]52 * (52 + 1) = 52 * 53[/tex]
[tex]52 * (52 + 1) = 2756[/tex]
Hence, the sum of the first 52 even terms is 52 * 53 or 2756
The function q = 230,000 -28p is a demand function which expresses the quantity demanded of a product q as a function of the price charged for the product p, stated in dollars. Determine the restricted Domain and Range of the function.
Answer:
D=[0, 8 214.29]
R=[0, 230 000]
Step-by-step explanation:
In order to find the domain, we must think of the least price you can give to the product you are selling. The price cannot be less than zero, since that would mean that you are giving money to the consumer for taking the product away, so zero is the smallest value p can get.
The greatest value the price can get is the one such that the quantity demanded is zero. So we need to determine that price by setting the equation equal to zero and solving for p.
230,000-28p=0
so we get
-28p=-230,000
[tex]p=\frac{-230,000}{-28}[/tex]
so
p=$8,214.29
so the restricted domain for this function would be:
[tex]0\leq p \leq 8,214.29[/tex]
or in interval notation:
D=[0, 8 214.29]
In order to find the range, we just need to determine what's the least and greatest value the function can get. Since this is a linear function, we can find them by just substituting each of the extreme values of the domain in the function, so we get:
q=230,000-28(0)=230,000
q=230,000-28(8214.29)=0
so the range would be:
[tex]0\leq q \leq 230,000[/tex]
or in interval notation:
R=[0, 230 000]
Samantha invested $40,500 at 6% to be compounded annually. What will be the value of Samantha's investment in 3 years? Round your answer to the nearest cent. Note: Assume 365 days in a year and 30 days in a month.
Answer:
7.45
Step-by-step explanation:
Find the sum of the interior angle measures of a regular polygon
with 17 sides
Answer:
2700
Step-by-step explanation:
the formula is (n - 2) 180
1, 2 after a reflection y = 0 followed by a reflection y = 2
Answer: ahhhhhummm I think it’s 5
Step-by-step explanation:
Answer:
(1,6)
Step-by-step explanation:
First you would reflect over y=0. Whenever you reflect over y=0, the y-coordinate will be multiplied by -1, so it changes to (1,-2). (1,-2) is 4 coordinates below the line y=2, so when reflected over y=2, the coordinate will be 4 above y=2, which means that the coordinate will be (1,6)
Jenny bought a pair of pants for $19.99 and two shirts for $7.50. If she gave the cashier 40 dollars how much change did she receive. Assume there are no tax sales
Answer:
Jenny will receive $12.51 in change.
Step-by-step explanation:
We need to find the total cost first.
19.99 + 7.50 = 27.49
We then subtract that from the 40 dollars she gave to get the amount of change she receives.
40.00 - 27.49 = 12.51.
She will receive $12.51 in change.
hope this helped!
Jenny will receive $12.51 in change.
We have given that the Jenny bought a pair of pants for $19.99 and two shirts for $7.50.
We need to find the total cost first.
What is the total cost?Total cost=price of pants +price of shirt
19.99 + 7.50 = 27.49
We then subtract that from the 40 dollars
She gave to get the amount of change she receives.
So we have to subtract the total cost from 40 so we get,
40.00 - 27.49 = 12.51.
She will receive $12.51 in change.
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jbv vh vhvbdhvbdhvbdv dvhdvdvhdjvdvDVdvdvfvfv chjdbcjhdVCHVdc
Answer:
yes
Step-by-step explanation:
The model shows the expression 219 Which expression is equivalent to this sum? O 3(7+3) O 307)+ 3 O 3+7+3 O 7(3+3) Mark this and retum Me
Answer:
a
Step-by-step explanation:
the lenght of a rectangle tile is 24 cm and its breadth is 40 mm find its area in square mm
Answer:
area=length*breadth
area=24*40
area=960sqare m
if we convert 960m to mm it will be 960000mm
final answer area=960000 square mm
how do you find a proportional relationship in a table?
AnsweTo see if multiple ratios are proportional, you could write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have proportional ratios.r:
Step-by-step explanation:
Answer:
You can find a proportional relationship in a table by seeing if there is a pattern like 1,5 or 2,10.
Step-by-step explanation:
e and also buy tickets they can use for food or rides. Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task, you will create a system of equations and find the cost of each ticket. Let x represent the entry fee and y represent the cost of each ticket in dollars. Write an equation representing how much Gwen paid, Write an equation representing how much Keith paid.
Answer:
For Gwen:-
x + 10y = 30
x + 15y = 40 - Tristan
if we subtract the above equations:-
we get
5y = 10
y = 2
That is the cost of each ticket is $2.
Step-by-step explanation:
Answer:
Keith & Gwen Paid: y=10x+30
Tristan Paid: y=15x+40
Step-by-step explanation:
now gimmie my Ford Super Duty F-250 12'
An item cost $450 before tax and the sales tax is $13.50. Find the sales tax rate. Write your answer as a percentage.
Answer:
3%
Step-by-step explanation:
If an item cost $450 before tax and the sales tax is $13.50 then the sales tax rate is 3%.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that An item cost $450 before tax
The sales tax of the item is $13.50
We have to find the sales tax rate in percentage
To find the percentage we have to multiply x/100 with four hundred fifty which is equal to thirteen point five
x/100×450=13.5
4.5x=13.5
Divide both sides by 4.5
x=13.5/4.5
x=3%
Hence, if an item cost $450 before tax and the sales tax is $13.50 then the sales tax rate is 3%.
To learn more on Percentage click:
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Yomaro is buying soil for his garden. He needs to fill one pot with 2 quarts of soil and another pot with 2 gallons of soil. How many quarts of soil does he need
in all?
Answer:
10 quarts
Step-by-step explanation:
Since one, 4 quarts = 1 gallon,
he needs (2*4)+2 quarts= 10 quarts of soil
PLEASE HELP!!!!!
Find AB and M
Answer:
Step-by-step explanation:
triangle ABC is an equilateral so all angles and sides are equal to each other
AB = 6
triangle DEF is an isosceles so two of its angles are equal to each other
a triangles angles add up to 180°
to find the measure of these angles we’ll write this equation:
x + x + 40 = 180
and solve for x
2x + 40 = 180
2x = 140
x = 70°
so mF is 70°
4272/6 use partial qutiants to divide
Answer:
712
Step-by-step explanation:
[tex]4272/6= 4200/6+72/6\\4272/6= 700 +12\\4272/6=712[/tex]
Hope this helps :D
The slope of a line is a number we can calculate using any two points on the line. To find the slope, divide the____ distance between the points by the _____ distance.
i need the blanks
Answer: To find the slope, divide the__Y__ distance between the points by the __X___ distance.
Step-by-step explanation: The formula is (Y2-Y1)/ (X2-X1)
there are 3 alligators, 16 turtles, and 12 snakes in the reptile exhibit at the zoo. what is the ratio
Answer: 3:31= alligators to total animals. 16:31= turtles total animals. 12:31= snakes to total animals.
Step-by-step explanation:
3+16+12=31 the total
How much is 4 times 4?
Answer:
16 :D
Step-by-step explanation:
4 * 4 = 16
Answer:
16
Step-by-step explanation:
4x4=16
Hope this helps.
What is the answer to f(x)=2x+28?
Nicole filled her tank for $38.50 for 21.5 gallons. How much did Nicole spend per gallon? (Write your answer with 2 decimal places)
Answer:
$1.79 per gallon, I believe.
Step-by-step explanation:
A teacher is making multiple copies of a 1−page homework assignment. The time it takes her in seconds based on the number of copies she makes is 5 times the number of copies plus 6. How many total seconds does it take the teacher to make 1 copy? How about 2 copies or 3 copies? By how many seconds does the total time increase for each copy?
Answer: I'm on it give me just a minute!!
Starling Co. is considering disposing of a machine with a book value of $12,500 and estimated remaining life of five years. The old machine can be sold for $1,500. A new
high-speed machine can be purchased at a cost of $25,000. It will have a useful life of five years and no residual value. It is estimated that the annual variable
manufacturing costs will be reduced from $26,000 to $23,500 if the new machine is purchased. The total net differential increase or decrease in income for the new
equipment for the entire five years is
Oa. decrease of S11,000
Ob. increase of $15,000
Oc decrease of S15,000
Od. increase of $11,000
Carl's mom sent him to the store to buy salt for the recipes. She is making two pumpkin pies and 1 five pound turkey. How much salt will she
need?
1 teaspoon salt is required.
if the length of the football field is 100 yards and the width is 53.3 yards what is the area
Answer:
It is 533 yards
Step-by-step explanation:
SImply multiply the length and the width of the football field to get it's area. 100 times 53.3 is 533 yards.
Answer:
5,330 yards^2
Step-by-step explanation:
Area = lw (length x width)
53.3 x 100= 5,330
Therefore, the area of the football field is 5,330 ft ^2
Triangle A has side lengths 3, 4, and 5. Triangle B has side lengths 6, 7, and 8.
1. Explain how you know that Triangle B is not similar to Triangle A.
2. Give possible side lengths for Triangle B so that it is similar to Triangle A.
9514 1404 393
Answer:
side lengths are not proportional6, 8, 10Step-by-step explanation:
1. The triangles are not similar because the ratios of side lengths are not the same:
3 : 4 : 5 ≠ 6 : 7 : 8
__
2. We can make the ratios be the same by multiplying the side lengths by a common value, such as 2:
3 : 4 : 5 = 6 : 8 : 10
If triangle B had side lengths of 6, 8, 10, then it would be similar to triangle A.
3/4+2/6 please answer this problem
Answer:
1 1/12
Step-by-step explanation:
find common denominator:
3/4=9/12
2/6=4/12
add:
9/12+4/12=13/12
simply:
13/12=1 1/12
hopefully this helps :)
Hello! Can anyone please help me? The topic is angles.
Answer:
29/4 or 7.25
Step-by-step explanation:
Complimentary angles are two angles that add up to 90
Supplementary angles are two angles that add up to 180
Angle ABC = x
Angle CBD = 7y + 4
Angle DBE = 8y + x
If we can find the measure of angle CBD, then we can find x.
We know that CBD + DBE = 180 because they are supplementary. Therefore...
(7y + 4) + (8y + x) = 180
AND
(7y + 4) + (x) = 90
Now we can use algebra to solve for x and y...
Blah blah blah...
x = 29/4
y = 45/4
If a rectangular prism has a length width and height of 38 cm 58 cm in 78 cm respectively in the volume of the prism is blank cubic centimeterk
Answer:
7 but not sure
Step-by-step explanation:
The maximum cost is $35. what is inequality. that's the question, i didn't write this
how to solve for these
9514 1404 393
Answer:
1. f = 9/a +7
2. x = (y -5)/3
3. x = 3/(y +2)
4. l = (P +9)/4
Step-by-step explanation:
I find it convenient to use the fact that a=b/c can be rewritten as c=b/a:
[tex]a=\dfrac{b}{c}\qquad\text{given}\\\\ac=b\qquad\text{multiply by $c$}\\\\c=\dfrac{b}{a}\qquad\text{divide by $a$, effectively swapping $a$ and $c$}[/tex]
__
1. f - 7 = 9/a . . . . use the above shortcut
f = 9/a +7 . . . . add 7
__
2. y -5 = 3x . . . . . subtract 5
x = (y -5)/3 . . . . divide by 3
__
3. y +2 = 3/x . . . . add 2
x = 3/(y +2) . . . . use the above shortcut
__
4. P +9 = 4l . . . . add 9
l = (P +9)/4 . . . divide by 4
Can you please help me with this
Answer:
log9
Step-by-step explanation:
Using the rules of logarithms
logx + logy = log(xy)
logx - logy = log([tex]\frac{x}{y}[/tex])
log[tex]x^{n}[/tex] ⇔ nlogx
Given
2(log18- log3) + [tex]\frac{1}{2}[/tex]log[tex]\frac{1}{16}[/tex]
= 2(log([tex]\frac{18}{3}[/tex] ) ) + log[tex](\frac{1}{16}) ^{\frac{1}{2} }[/tex]
= 2log6 + log[tex]\frac{1}{4}[/tex]
= log6² + log[tex]\frac{1}{4}[/tex]
= log36 + log[tex]\frac{1}{4}[/tex]
= log( 36 × [tex]\frac{1}{4}[/tex] )
= log9