Monthly amount, M = $102×4 = $408.
Also, yearly amount, Y = M×12 = $408×12 = $4896
It is given that 25% of the cost is contributed by Marcus.
Amount Marcus paid
[tex]=\dfrac{\$4896 \times 25 }{100}\\\\= \$1224[/tex]
Therefore, his employer contribution annually for coverage is $( 4896 - 1224)=$3672.
Hence, this is the required solution.
Select ALL the correct answers.
Identify the two tables which represent quadratic relationships.
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show that the foflleing statement and soln
There are tables (4) and (5) represent quadratic relationships.
What is the quadratic relationship?A quadratic relationship is equivalent to a quadratic formula. These relations are frequently used to determine the height of falling objects, kicked balls, or an arched bridge.
As per table (4), we have
x y
0 4
1 -4
2 -4
3 4
Substitute these points in the graph, we get it represents quadratic relationships.
When plotting the graph of a quadratic relation, always display the significant points, the vertex, and the crossings with the axes.
As per table (5), we have
x y
0 -4
1 -8
2 -10
3 -10
When we substitute these points in the graph, we see that it also shows quadratic relations.
Thus, tables (4) and (5) represent quadratic relationships.
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The complete question has been attached below.
an artist is constructing a piece of art in the shape of rectangle. The artist wants to use string to tightly tie each vertex of rectangle to the other three vertices. The rectangle is 12.0 feet wide and 7.0 feet long. how much string should the artist use? round your answer to the nearest tenth of a foot
feet of string:
Answer:
65.8 ft
Step-by-step explanation:
The number of strings required to tie each vertex to the other three will be ...
(4)(3)/2 = 6
Those strings will be perimeter strings plus two diagonal strings. The lengths of the perimeter strings are given as 12 ft and 7 ft. The lengths of the diagonal strings can be found using the Pythagorean theorem.
d² = 12² +7² = 144 +49 = 193
d = √193 ≈ 13.892
Then the total length of all strings is ...
L = 2(12.0 +7.0 +13.9) = 65.8 . . . . feet
The artist will need 65.8 feet of string.
What is 7z+ 2(z - 5y)?
Answer:
9z - 10y
Step-by-step explanation:
Apply the distributed property, so it now looks like this: 7z + 2z - 10yCombine like terms: 9z - 10yI hope this helps!
Mrs. Jenkins has petri dishes to divide evenly among the students. She wants to make sure she has enough petri dishes. The number of dishes each student gets depends on the number of students. The more students that decide to do the bacteria experiment, the fewer the number of petri dishes each student gets.
Answer:
Ok, suppose that there are M Petri dishes, where M is an integer number.
If there are N students in the class, then the number of Petri dishes that each student gets is:
# = M/N.
(always that N divides M)
If not, we will have a remainder, R, of Petri dishes such that:
M ≥ N
R < N
This means that:
The total number of Petri dishes must be equal or larger than the number of students.
If M is larger than N, and N does not divide M, then the remainder of the quotient will be smaller than N.
Now with this, you can replace the numbers and do the math.
"The more students that decide to do the bacteria experiment, the fewer the number of Petri dishes each student gets."
You can easily see this because the equation for the number of Petri dishes that each student gets is:
# = M/N.
Here, N is in the denominator, then if the number of students in the class increases, the denominator in the operation increases, which means that the quotient will be smaller.
simplify the expression 5/6 (-2y + 3) = ?
Answer:
[tex]-\frac{5y}{3}+\frac{5}{2}[/tex]
Step-by-step explanation:
Given Problem;
[tex]\frac{5}{6}\left(-2y+3\right)[/tex]
Solve;
[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac[/tex]
[tex]\frac{5}{6}\left(-2y+3\right)=\frac{5}{6}\left(-2y\right)+\frac{5}{6}\cdot \:3[/tex]
[tex]=\frac{5}{6}\left(-2y\right)+\frac{5}{6}\cdot \:3[/tex]
[tex]\mathrm{Simplify\;=\frac{5}{6}\left(-2y\right)+\frac{5}{6}\cdot \:3:}-\frac{5y}{3}+\frac{5}{2}[/tex]
[tex]=-\frac{5y}{3}+\frac{5}{2}[/tex]
Hence, Answer = [tex]-\frac{5y}{3}+\frac{5}{2}[/tex]
~Learn with Lenvy~
-6(x + 7) = -12 Help plzzzzzz
Answer:
x=-5
Step-by-step explanation:
-6(x + 7)=-12
-6x+-42=-12
-6x=30
x=-5
Answer:
X = -5
Step-by-step explanation:
-6(x+7)=-12
Use the distributive property
-6x-42=-12
Add 42 to -42, and 42 to -12
Adding 42 to -42 cancels -42 out
-6x=30
Divide -6 by -6, and 30 by -6
x=-5
Which expression is equivalent to 2(m - 4) + 1?
O2m - 7
O2m - 3
O2m + 9
O2m + 10
Answer:
2m-8+1=2m-7
Step-by-step explanation:
Bob bought some new boots that cost $67.34. He paid 7.5% tax. How much did he pay at the cash register?
A. $3.20
B. $24.78
C. $72.39
D. $33.40
Answer:
72.39
Step-by-step explanation:
Cost of boots: 67.34
Tax: 7.5%
Amount of tax he payed: 67.34 * 7.5/100 = 5.05
Total Amount = 67.34 + 5.05 = 72.39
If f(x) = 2x – 10, what is f(4)
Answer:
I got you :)
Step-by-step explanation:
F(x)=2x-10
Ok, so when you need to know f(4) you plug in 4 for x
f(4)=2(4)-10
2x4 = 8
8-10= -2
f(4)= -2
Hope this helps!
Hi! Hope you're enjoying your day!
In order to solve this, all we have to do is plug in the value of x.
So we're given that
f(x)=2x-10
So f of x is equal to 2 times x minus 10.
Thus
f of 4 is equal to 2 times 4 minus 10 (it can be simplified, right?) :)
f(4)=8-10
f(4)=-2
Hence, the answer is
[tex]\boxed{\boxed{\bold{f(4)=-2}}}[/tex]
Hope everything is clear.
If you have any questions, please ask.
#LearningIsFun
[tex]\rule{200}{2}[/tex]
The volume of this right prism is 214.5 ft. What is the height, x, of the prism? 5 ft Enter your answer as a decimal in the box. 5 ft 5.8 ft X= ft x A 8 ft. Pls help me!
The volume of the right prism is the product of the length, width and height
The height of the prism is 7.40 ft
How to determine the height of the prism?The given parameters are:
Volume = 214.5 ft cube
Length = 5 ft
Width = 5.8 ft
The volume of the right prism is calculated as:
Volume = Length * Width * Height
So, we have:
214.5 = 5 * 5.8 * Height
Evaluate the product
214.5 = 29 * Height
Divide both sides by 29
7.40 = Height
Rewrite as:
Height = 7.40
Hence, the height of the prism is 7.40 ft
Read more about volumes at:
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Answer:
6.6
Step-by-step explanation:
-6 < 2t - 5 < 3
Solve for T
Answer:
I think it's 7
Step-by-step explanation:
-6 < 2T (-5+5) < 3+5
-6 < 2T < 8
+6 < 2T < 8 + 6
0 < 2T < 14
0 < ÷ 2 < ÷ 2
0 < T < 7
-0 < T < -0
T = 7
Each week you notice
more and more squirrels in
your front yard. At the end
of the first week you notice
5 squirrels. At the end of
the second week you see 8
and by the end of the third
week there are 11. If they
continue to move to your
yard at the same rate how
many squirrels will there be
after 28 week
Answer:
140 squirrels
Step-by-step explanation:
first week, there are 5 squirrels.
second week, there are 8 squirrels.
third week, there are 11 squirrels.
let's calculate the amount of squirrels at the end of 28 weeks. from the statement given, an addition of 3 squirrels for every week.
by cross multiply method:
5 squirrels = 1 week
x squirrels = 28 weeks
x = 28 x 5
x = 140 squirrels.
so you will have an amount of 140 squirrels after 28 weeks.
The town of Mathville is building an arena shaped as a pyramid. If the base a square with sides measuring 600 feet and the height of the pyramid is 300 feet, what is the volume of this pyramid?
Check the picture below.
[tex]\textit{volume of a pyramid}\\\\ V=\cfrac{Bh}{3}~~ \begin{cases} B=\stackrel{base's}{area}\\ h=height\\[-0.5em] \hrulefill\\ B=\stackrel{600\times 600}{360000}\\ h=300 \end{cases}\implies V=\cfrac{(360000)(300)}{3}\implies V=36000000~ft^3[/tex]
Mrs Galicia started a savings account for her family and started it with an initial deposit of $1600. The account earns 3.75% interest compounded quarterly.
(a) Write an equation to represent the amount of money in the account as a function of time in years.
(b) How much money will be present in the account in 5 years. **Must show plug in step before using calculator
Answer:
(a) [tex]A=1600(1+\frac{0.0375}{12})^{12t}[/tex]
(where [tex]A[/tex] is the account balance and [tex]t[/tex] is the time in years)
(b) $1,929.40
Step-by-step explanation:
Compound interest formula
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
where:
A is the amountP is the principalr is the interest rate (in decimal form)t is timen is the number of times the interest is compounded per unit of tGiven:
P = $1600r = 3.75% = 3.75/100 = 0.0375t = number of yearsn = 12 (as the interest is compounded monthly and t is number of years)Substituting these values into the formula:
[tex]\implies A=1600(1+\frac{0.0375}{12})^{12t}[/tex]
(where [tex]A[/tex] is the account balance and [tex]t[/tex] is the time in years)
Part (b)
Substitute [tex]t=5[/tex] into the equation created in part (a):
[tex]\implies A=1600(1+\frac{0.0375}{12})^{12\cdot 5}[/tex]
[tex]\implies A=1600(1.003125)^{60}[/tex]
[tex]\implies A=1929.404236...[/tex]
[tex]\implies A=1929.40[/tex]
Therefore, her account balance after 5 years will be $1,929.40
If f(x) = |x|+ 9 and g(x) = -6, which describes the value of (f + g)(x)?
O (f+g)(x) > 3 for all values of x
O (f+ g)(x) < 3 for all values of x
(f + g)(x) < 6 for all values of x
(f + g)(x) > 6 for all values of x
Answer:
(f+g)(x) > 3 for all values of x
Help pleaseeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:it’s the third answer choice
Step-by-step explanation:
WILL MARK BRAINLIEST IF CORRECT!!! Circle the Terms, underline the coefficients, and put a box around each constant in the variable expressions below.
16ab+5c+8
2l+2w
H+W+L
Answer: The coefficients are: 16ab, 5c, and 2w. The terms are: 16ab, 5c, 8, 21, 2w, H, W, and L. The constants are: 8 and 21. And the variables are: H, W, and L.
What is the slope of line t?
Answer:
9 /89
Step-by-step explanation:
100 g of fish cost 70¢.
€
(a) Calculate the cost of 180 g.
(b) Mr Tan paid $2.45 for some fish. How
many grams of fish did he buy?
Answer:
a) 100/70 = 1.43 cents for 1 g of fish
180 x 1.43 = 257.4 pennies = 2.57 dollars
b) 2.45 dollars = 245 pennies
245/1.43 = 141.33.... = 141 g
Step-by-step explanation:
A sundae requires 333 ice-cream scoops and 444 strawberries, and a milkshake requires 222 ice-cream scoops and 666 strawberries. Ramses wants to make sundaes and milkshakes with at most 252525 ice-cream scoops and 373737 strawberries. Let SSS denote the number of sundaes he makes and MMM the number of milkshakes he makes.
Answer:
[tex]3x+2y\leq 25 \\4x+6y \leq 37[/tex]
Step-by-step explanation:
Sunday ice cream :
Ice cream scoops = 3
Strawberries = 4
Milkshake :
Ice cream scoops = 2
Strawberries = 6
Ramses wants to make sundaes and milkshakes with at most 25 ice-cream scoops and 37 strawberries.
Let x be the no. sundaes and y be the no. of milkshakes
So, Equations are :
[tex]3x+2y\leq 25 \\4x+6y \leq 37[/tex]
Now we are supposed to graph the solution
[tex]3x+2y\leq 25[/tex] --- Blue
[tex]4x+6y \leq 37[/tex] --- Green
Refer the attached figure
LOOK AT THE PICTURE
PLEASE PLEASE HELP ASAP THIS TEST IS IMPORTANT I WILL MARK BRAINLIEST AND GIVE 20 POINTS OR MORE LOOK AT THE PICTURE
Maria is trying to estimate 30. She uses this table of values:
What should she do next to find 30 to the nearest hundredth?
A. She should find the squares of numbers between 5.5 and 5.6.
B. She should estimate that 30 is 5.50.
C. She should find the squares of numbers between 5.4 and 5.5.
D. She should find the average of 5.4 and 5.5.
Answer:
A im pretty sure :)
Step-by-step explanation:
Which of the following statements are equivalent
to the statement "the price decreased by 25%"?
Choose all the correct answers.
(A) The price doubled.
(B) The price is 150% of the price before.
(C) The price was reduced by a quarter.
(D) The price is half of what it was before.
(E) The price is now 1.5 times greater than what it was before.
(F) The price now is 662 % of what it was before.
F
-
3
(G) The price now is 200% of what it was before.
(H) The price is 75% of what it was before.
Answer:
(C) The price was reduced by a quarter
(H) The price is 75% of what it was before.
Step-by-step explanation:
Let's go through all the answer choices:
(A) The price doubled.
(B) The price is 150% of the price before.
(E) The price is now 1.5 times greater than what it was before.
(F) The price now is 662 % of what it was before.
(G) The price now is 200% of what it was before.
knowing that decreased meaning smaller or fewer.
Thus, it can't be doubled or more than 100% as well was greater.
Hence, the best answer is
(C) The price was reduced by a quarter
(H) The price is 75% of what it was before.
Note:
Reduced = Smaller, Less amount
Greater = More
Doubled = More
Decreased = Smaller, Less amount.
[RevyBreeze]
The statements are equivalent to the statement "the price decreased by 25%" are:
The price was reduced by a quarter.
The price is 75% of what it was before.
We have statement,
"the price decreased by 25%".
So, the statement that follow the statement is
The price was reduced by a quarter.
The price is 75% of what it was before.
Statements are not equivalent to the given statement.
"The price is 150% of the price before" means the price increased by 50%, not by 100% or double.
"The price doubled."
"The price is 150% of the price before."
"The price is now 1.5 times greater than what it was before."
"The price now is 200% of what it was before."
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Solid metal support poles in the form of right cylinders are made out of metal with a density of 6.1 g/cm 3 3 . This metal can be purchased for $0.62 per kilogram. Calculate the cost of a utility pole with a diameter of 41 cm and a height of 780 cm. Round your answer to the nearest cent.
The cost of a utility for a pole with a diameter of 41 cm and a height of 780 cm is $3894697.41
Density formula
The density formula is given by:
Density = mass/volume
The volume of the cylinder = π * radius² * height
Radius = diameter / 2 = 41/2 = 20.5, height = 780 cm. Hence:
Volume = π * 20.5² * 780 = 1029798 cm³
Density = mass/volume
6.1 = mass/1029798
mass = 6281770 kg
Cost = 6281770 kg * $0.62 per kilogram = $3894697.41
The cost of a utility for a pole with a diameter of 41 cm and a height of 780 cm is $3894697.41
Find out more on Density at: https://brainly.com/question/1354972
Please help me with this math problem!! Will give brainliest!! Please include a drawing in your answer. No links please!!
Answer:
Step-by-step explanation:
AC = 150 Feet
CB = 75 feet.
BD = 100 feet
You use the tangent here.
Tan(A) = opposite/ Adjacent
Opposite = BD = 100 feet
Adjacent = AB = AC + CB = 150 + 75 = 225 feet.
Tan(A) = 100 / 225
Tan(A) = 0.4444
A = Tan-1(0.4444)
A = 23.96 degrees, but the front row of trees cannot be more than 100 feet tall
i finished all of these but i wanted to make sure these were correct! i will be posting others and thank you for answering :)
Answer:
Step-by-step explanation:
Where are your answers?
A computer processes information in nanoseconds. A nanosecond is one billionth of a second. Write this number as decimal.
Answer:
0.00000001
Step-by-step explanation:
Answer:
0.000000001
Step-by-step explanation:
Please help ! Which net represents the figure?
Answer:
It is c
Step-by-step explanation:
When you fold it up, it makes a box just like the solid figure.
Have an amazing day!
PLEASE RATE!!
in the figure shown, what is the value of x?
we can see that the triangle is isosceles since it has 2 equal sides
so that means 2 equal angles then :
x + 17 = 4x - 34
3x = 51
x = 17
or
the sum of 3 triangles angles = 180
6x + 10 + x + 17 + 4x - 34 = 180
11x = 187
x = 17
Answer:
Step-by-step explanation:
(6x+10)+(x+17)+(4x+34)=180
11x+61=180
11x+61-161=180-61
11x=119
11x/11=119/11
x=10 9/119
8+3(4x-2) anyone know how to solve?
Answer:
x = -1/6
Step-by-step explanation:
Firstly, you need to expand the brackets. So this would give, 8 + 12x - 6.
Then you collect like terms to give, 12x + 2. After this, we solve for x. To do this we need to assume that all this is = 0. Then it's easy to solve:
12x + 2 = 0
12x = -2
x = -2/12
x = -1/6
What are the equation and slope of the line shown on the grid? I give Brainliest Answer!
Answer:I think it’s y = 6; slope is 6
Step-by-step explanation:
Because it’s on the positive side so I think it’s that one
The equation of the line will be x = 6. And the slope of the vertical line is infinite.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The equation of the vertical line is given as,
x = c
The line is passing through (6, 0). Then we have
6 = c
Then the equation of the line will be x = 6. And the slope of the vertical line is infinite.
More about the linear equation link is given below.
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