Answer:
$49
Step-by-step explanation:
Cost of security system installation = $50
Let the monthly service cost be $x
In 6 month monthly service cost = 6*$x= $6xtax percentage = 6% of monthly service cost
hence if monthly service cost is $x
Then Tax value in terms of x is = 6% of $x = 6/100 * $x =$ 0.06x
In 6 month, Tax value in terms of x = 6 * $0.06x = $.36x_______________________________________________
Therefore total cost incurred by Trevor in 6 month including installation charges =
6 month monthly service cost + Tax value in 6 month + installation cost
Substituting value of 6 month monthly service cost , Tax value in 6 month , installation cost in above expression we have
Therefore total cost incurred by Trevor in 6 month including installation charges = $6x+ $0.36x+ $50 = $6.36x + $50
But it is given that After 6 months, Trevor had paid a total of $361.64 for his service fee, taxes, and his initial installation
Therefore total cost incurred by Trevor in 6 month including installation charges is also equal to $361.64
Hence,
$6.36x + $50 = $361.64
=> $6.36x = $361.64 - $50
=>$6.36x = $311.64
=> x = $311.64/6.36
=> x = 49.
Therefore , Trevor’s monthly service fee, not including taxes is $X which is equal to $49.
baseball card that was valued at $200 in 1980 has intreased in value by 7% each year. Write a function to model this situation, then find the
value of the card in 2016.
The function to represent this situation is A = P( NR+1 ) and the amount in 2016 is $704.
What is simple interest?"Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time. In simple interest, the principal amount is always the same".
For the given situation,
Principle, P = $200
Rate of interest, R = 7% = 0.07
Number of years from 1980 to 2016, N = 36
The total amount in 2016 can be modeled as the equation,
[tex]A=P(NR+1)[/tex]
⇒ [tex]A = 200[(36)(0.07)+1][/tex]
⇒ [tex]A=704[/tex]
Hence we can conclude that the function to represent this situation is A = P( NR+1 ) and the amount in 2016 is $704.
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Factor
x^2−6x+8
(x+4)(x−2)
(x+4)(x+2)
(x−4)(x+2)
(x−4)(x−2)
Answer:
(x-4)(x-2)
Step-by-step explanation:
Using The AC Method
I have no clue! Please help!
30 students apply for a scholarship,
10 have college degrees
18 have school certificates
8 have both qualifications.
(a) Draw a Venn diagram to show thi
information.
(b) How many students have no
qualification?
Answer:
A - school certificates
B - college degrees
So 30 - (10 + 8 + 2) = 10 have no qualification
Find the area of the segment of the circle.
Answer:
9π/4 - 4.5 unit^2.
Step-by-step explanation:
The are of the segment = area of the sector - area of the triangle.
Area of the sector = 1/4 * area of the circle
= 1/4 π 3^2
= 9π/4. unit^2
Area of the triangle
= 1/2 * 3 * 3
= 9/2 unit^2.
So the answer is 9π/4 - 4.5 unit^2.
Two cars are doing a race around a 20-km track. They start from the same place at the same time. The speed of first car is 60 km/h, speed of second car is 80 km/h. How long will it take second car to lap the first car?
Answer:
20 km less than the first car
Step-by-step explanation:
What is the simplest form of this expression?
5(-8m - 4) + (-5)(-9m - 5)
Enter the correct answer.
DOG
DONE
Clear all
+ ?
Answer:
5m +5
Step-by-step explanation:
5(-8m - 4) + (-5)(-9m - 5)
Distribute
-40m -20 +45m +25
Combine like terms
-40m+45m -20+25
5m +5
I need a step by step solution ASAP
Answer:
C 4 /x^2
Step-by-step explanation:
20x / 5x^3
First divide the numbers
20/5 = 4
Then divide the variable
x/x^3 = x/ xxx = 1/ xx = 1/x^2
We are left with
4/x^2
What is the least common multiple of 12 and 18?
Look at the attached picture
hope it will be helpful to you..
RUNNING OUT TIME SOMEONE HELP! :)
Answer:
top right
Step-by-step explanation:
linear function means straight line
The only function that is a straight line is the top right
Answer:
Upper Right
Step-by-step explanation:
A linear function is a line
what is the value of x?
Answer:
16.1
Step-by-step explanation:
guys i need help lol
Answer:
x = 17°, m∠ A = 114°
Step-by-step explanation:
We can tell that these pair of angles are corresponding, provided;
Line 1 ║ Line 2, AB ∩ Line 1 and Line 2 ⇒ corresponding ∠s ≅,
m∠ A = m∠ B ⇒ Substitute values of A and B,
6x + 12 = 3x + 63 ⇒ Subtract 3x on either side,
3x + 12 = 63 ⇒ Subtract 12 on either side of equation,
3x = 51 ⇒ Divide either side by 3,
x = 17 ⇒ Substitute value of x to solve for m∠ A,
m∠ A = 6 * ( 17 ) + 12,
m∠ A = 102 + 12,
m∠ A = 114
Solution; x = 17°, m∠ A = 114°
Answer:
x = 17, ∠A = 114°
Step-by-step explanation:
I'm 8 years old and I know how to do this.
6x + 12 = 3x + 63
3x + 12 = 63
3x = 51
x = 17
6(17) + 12
102 + 12 = 114
Simplify 18 1/2 + (-7 4/8)
ASAP pls
Answer:
11
Step-by-step explanation:
18 1/2 + (-7 4/8)
Simplify the fraction
18 1/2 + (-7 1/2)
Subtract the whole numbers
18-7 = 11
Subtract the fractions
1/2 -1/2 =0
Answer:
11
Step-by-step explanation:
18 1/2 + (-7 4/8)
18 1/2 +)- 7 1/2
(18-7) + (½-½)
11 + 0
11
18 19 20 please thank you
Answer:
18a) The height of tree is 6.34ft.
Diagram We would scale a right side triangle showing side; 6.34ft x base 13.59ft x 15cm slope.
b) 11.54 degree
Step-by-step explanation:
18a) sin(25) = 0.4226182617 is what you multiply to check the height.
15 x 0.4226182617 = 6.339273926 = 6.34ft.
Using the measurements of pythagoras you can scale each measurement above. 6.34 = (x0.5) = 3.17cm to draw the trees height.
15ft wire = scale the diagram draw 1cm = 2ft So that 7.5cm = = 15ft
Draw a right angle triangle and before creating the slope use protractor or guess 25 degree at bottom of slope and label it.
This will make a 7.5cm slope and label it 15ft.
We also measure out the base which on scale cm per foot is 13.59 x 0.5 = 6.80cm and label it 13.59ft.
We find the base measurement by finding the square of each 15 and 6.34
c^2 - a^2 = b^2
a= 6.34 x 6.34 = 40.1863939089 = √40.19
c = 15 x 15 = √225
c-b = √225 - √40.19 = √184.81
side = b
b^2 = √184.81= 13.5944841756 = 13.59ft
18 b) To find an angle x with given measurements 4ft base and 20ft slope we
use sin( base/slope) = (run/rise)
So that 4/20 = 0.2
Then plug in for sin -1 0.2 = 11.54 degree = (calc ..11.53695903)
Notes;
If 4ft base was not given and the height of wall was given we would do the same using base as run and slant as run run/rise but we would substitute sin-1 and after division run/rise we would plug in the decimal to cos-1 (decimal).
Water is draining from an aquarium at a rate of
3 gallons per minute. Write a multiplication expression using integers to show the total change to the amount of water in the aquarium after 45 minutes of draining. Then determine and explain that amount.
135 gallons of water in the aquarium after 45 minutes of draining.
What are Arithmetic operations?Arithmetic operations can also be specified by the addition, subtract, divide, and multiply built-in functions.
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
Given that water is draining from an aquarium at a rate of 3 gallons per minute.
The total change in the amount of water in the aquarium after 45 minutes of draining is as:
⇒ 45×3
Apply the multiplication operation in the integers,
⇒ 135 gallons
Hence, 135 gallons of water in the aquarium after 45 minutes of draining.
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Put these numbers in order, smallest to largest 4.9 9.44 9.4 4.09 4.99
Answer:
4.09, 4.9, 4.99, 9.4, 9.44
Step-by-step explanation:
Answer:
4.09, 4.9, 4.99, 9.4, 9.44
Step-by-step explanation:
n
What is the sum?
2.
X
X+ 3
+
3
X+ 3
+
X+ 3
ا اتيا
X+5
X+ 3
X+5
3x+27
6x
X+ 3
Answer:
x+5/x+3
Step-by-step explanation:
avocados cost $3 per pound. write and graph an equation in two variables that represents the cost of buying avocados.
pleasee hellpp asappp!!!
if possible, whoever answers this can you put a picture of what the graph would look like please and thank you :)
Answer:
y = 3x
Step-by-step explanation:
sorry cant do the graph
Solve: 5/9 + (-4/5)
Answer:
-11/45
Step-by-step explanation:
5/9 + (-4/5)
25/45 + (-36/45)
(Multiplied each side by opposite denom.)
25/45 -36/45
Simplify
25-36=-11
-11/45
Cannot simpfily
Answer:
Step-by-step explanation:
5/9 + (-4/5)
-11/45 or − 0.244444444 and on and on forever
Jackson bought six pairs of socks for $5 each. The tax on the purchase was 6%. What was the total cost of his purchase?
Answer:
Step-by-step explanation:
First you multiply 5x6= 30
30x.06= 1.8
30+ 1.8 =31.8
Answer:
31.8
step-by-step explanation:
5*6+6%=31.8
There are 90 chickens on the farm. If 60% of the animals on the farm are chickens, how many animals are on the farm? Pls help asap!
Answer:
150
Step-by-step explanation:
You need to add 60 to the 90 and then check it by doing 60% of 150.
Hope this helps.
Answer: 150 is the answer
Step-by-step explanation:
A spinner marked with four sections blue, green, yellow, and red was spun 100 times. The results are below. Find the experimental probability of landing on green? *
Answer: 25% maybe
100/4=25
Answer:
It would be 25%.
Step-by-step explanation:
Since there are four colors, the probability would be 25 out of 100. This can be turned into 1/4. therefore 1/4 equals 25.
Match the description with the number of possible outcomes.
choosing a card from a deck
2
rolling a number cube
6
flipping a coin
4
spinning a 4-color spinner
52
Answer:
here is the correct answer :D
Step-by-step explanation:
how does the graph of y = sqr x + 2 compare to the graph of the parent square root function?
PLS HELP 50 POINTS
Which function can be used to model the graphed geometric sequence?
f(x + 1) = Five-sixthsf(x)
f(x + 1) = Six-fifthsf(x)
f(x + 1) = Five-sixths Superscript f (x)
f(x + 1) = Six-Fifths Superscript f (x)
Answer:
f(x+1)=(5/6)f(x)on: Five-sixths Superscript f (x)
EXPLANATION:
The defining characteristic of a geometric sequence is that each term is a constant multiple of the previous term, called the common ratio denoted r in the rules for geometric equations.
625/750=750/900=etc=r=5/6
The function that can be used to model the graphed geometric sequence is f(x + 1) = 5/6 f(x).
What is the general equation of a Straight line? What is a Geometric sequence?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
A geometric sequence is a sequence such that -
a(n + 1)/a(n) = K {constant}
[K] is called common ratio.
Given is a graph representing a geometric sequence.
Now, for -
f(2) = 1080
and
f(1) = 1296
So -
f(2)/f(1) = 1080/1296 = 5/6
In general -
f(x + 1)/f(x) = 5/6
f(x + 1) = 5/6 f(x)
Therefore, the function that can be used to model the graphed geometric sequence is f(x + 1) = 5/6 f(x).
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[REFER TO IMAGE ATTACHED FOR QUESTION]
if i want to.find out when an object hirs the ground i should _____
Answer:
You should test out with different objects in different places. But, I would be careful not to use anything that could break!
Please help me !!!!!
Answer:
15 units
Step-by-step explanation:
Determine the change to diagonal one of a rhombus if the area is multiplied by 1/8 and diagonal two is multiplied by 1/2 . Answer: Diagonal one is multiplied by
Answer:
Diagonal one is multiplied by 4
Step-by-step explanation:
area = dia 1 * dia2 / 2
area/8 = dia1/x * dia2/2 / 2
->x = 4
I need a step by step for this question because I am not understanding the second half.
A coin is flipped 160 times. It landed on heads 82 times and tails 78 times. A different coin is flipped 250 times. It landed on heads 115 times and tails 135 times.
What is the empirical probability of flipping a heads on the first coin AND flipping a heads on the second coin?
Question 4 Please help. If circle A is dilated so that it is the same size as circle B, which transformations could be performed next to show that the circles are similar?
Select all that apply.
There are 3 Answers:
Choice A) reflect the dilated circle over the horizontal line through point C.
Choice D) rotate the dilated circle 180 degrees around point C
Choice E) translate the dilated circle to center B
Due to symmetry, rotations and reflections do not change a circle. This is why we are able to rotate around point C so that it looks like a translation has occurred. A similar thing happens with reflections as well.
The correct Answers:
A) reflect the dilated circle over the horizontal line through point C.
D) rotate the dilated circle 180 degrees around point C
E) translate the dilated circle to center B
What is transformation?A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.
Given is circle A is dilated so that it is the same size as circle B, we need to determine the transformations performed to show that the circles are similar.
We know that,
Due to symmetry, rotations and reflections do not change a circle.
So, rotate around point C so that it looks like a translation has occurred.
A similar thing happens with reflections as well.
Hence, the correct options are A, D and E
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