Answer:
[tex]C(n) = 435n + 150[/tex]
Step-by-step explanation:
Given
[tex]Base = 400[/tex] -- Base charge per month
[tex]Utilities = 150[/tex]
[tex]Adverts = 35[/tex] per month
Required
The cost function
To do this, we multiply the rates by the number of months.
So, we have:
[tex]C(n) = Base * n + Adverts * n + Utilities[/tex]
So, we have:
[tex]C(n) = 400 * n + 35 * n + 150[/tex]
[tex]C(n) = 400n + 35n + 150[/tex]
[tex]C(n) = 435n + 150[/tex]
If a number has 8 as a factor, then both 2 and 4 are factors
3) A Jewelry artist charges $7.00 for each pair of earrings she sells. in 3 hours, she sells 15 pairs of
earrings. At that rate, how much money could she earn from selling earrings for 5 hours?
Answer: $175
Step-by-step explanation:
$7.00 x 15 = $105.00
$105.00 / 3 hours = $35/hr.
$35 x 5 = $175
Jill and Tim have the same number of toy cars. Tim has 10 red cars and 20 blue cars. Jill has 8 red cars, 15 blue cars, and some yellow cars. How many yellow cars does Jill have?
Answer:
7 yellow cars
Step-by-step explanation:
Tim has 30 cars, so Jill has 30 as well. She has 8+15=23 red and blue cars. This means that there are 7 yellow cars.
20.4 is what percent of 17?
Answer:
120%
20.4 is 120% of 17.
Step-by-step explanation:
20.4/17 = 1.2
1.2 x 100 = 120%
Hope this helped. Have a good one!
Juana is making a triangular hat for a puppet. If two of the three angles of the hat both measure 30°
, what is the measure of the third angle?
Enter the correct answer in the box.
30+30=60 180-60=120
So the answer is 120
a husband and wife discover that there is a 4% probability of their passing on a hereditary disease to 3 of their children if they plan to have their children what is the probability of the event that at least one child will inherit the disease
"4% probability of their passing on a hereditary disease to 3 of their children"
I'm not sure if this means that the possibility of them passing the disease to one child is 4%, or if the probability of them passing the disease to the collective three children is 4%.
In case its the first one:
To make this a little easier, if you think about it the only possible way for the condition "at least one child will inherit the disease" to be untrue is if all 3 children do not have the disease. Therefore we just need to calculate the probability of all 3 children not having the disease.
if the chance of having the disease is 0.04, then the chance of not having it is 0.96
for three children: 0.96*0.96*0.96
= 0.884736
to find the chance of this not happening:
1 - 0.884736
= 0.115264 ≈ 12%
there is a 12 percent chance at least one of the children will inherit the disease
In case its the second one:
the probability of all 3 children having the disease is 0.04,
the probability of 1 child getting the disease is unknown, x.
this means
x*x*x = 0.04
x ≈ 0.342
now we just basically repeat the steps above
1 - 0.342
= 0.658 (probability that one child does not get the disease)
0.658 * 0.658 * 0.658
= 0.284890312 (probability that all 3 children do not get the disease)
1 - 0.284890312
= 0.715109688 ≈ 72%
there is a 72 percent chance at least one of the children will inherit the disease
Solve for X : 3/8 = 27/x
Answer:
x = 72
Step-by-step explanation:
3/8=27/x
cross multiply
3*x=3x 27*8=216
divide
216/3=x
x=72
Find the slope and the y-intercept of the line with the equation 8y - x + 7 = 0.
Simplify the expression.
5(2 +t) – 3(t + 1)
please help as soon as possible
Answer:
7 + 2t is the simplest form of your equation.
Hope this helps! :D
Graph the function g(x) = 2x2 + 8x - 1
Answer:
(-2,-9)
(0,-1)
Step-by-step explanation:
I solved in desmos.
460,451,442,...
Find the 37th term.
Find the 37th term.
Answer:
The 37th term is 136.
Step-by-step explanation:
The sequence has a common difference therefore, it is an arithmetic sequence
The formula for arithmetic sequence is
[tex]an = a1 + (n - 1)d[/tex]
where,
an is the nth term,
a1 is the first term,
n is the term number and
d is the common difference
Find the 37th term.
an = a1 + ( n-1 ) d
a37 = 460 + ( 37-1 ) -9
a37 = 460 + ( -324 )
a37 = 136
Consider the following function. f(x)= 4x+7 Place the steps for finding f -1(x) in the correct order.
Answer:
To find an inverse, you need to replace f(x) with y. Then switch the x and y's in your equation and solve for y. This will find f^-1(x).
Step-by-step explanation:
Find the unit price for a 9 oz bottle of ketchup for 88cents. round answers to the nearest tenth of a cent. ________ cents per ounce
Answer:
0.1 cents per ounce
Step-by-step explanation:
You know that you paid 88 cents for the whole bottle of ketchup and the whole body contains 9oz of ketchup. Every one ounce is equal to 9.8 cents. You simply need to divide the total amount of the item by the weight (9 ounces) to get 0.09 or 0.1 when rounded.
[tex]\frac{88 cents}{9oz}=0.1 cents per ounce[/tex]
Line y=2x+3 is tangent to a circle with center (2,-3). Which of the length of the radius of the circle?
Answer:
[tex]2\sqrt{5}[/tex]
Step-by-step explanation:
Since it is tangent to the center, the perpendicular line passes through the center, (2,-3). We find the slope of the perpendicular line to be -1/2 (perpendicular to a slope of 2). We can use point slope form to find the line from the tangent line to the center:
y+3=-1/2(x-2)
We can simplify this to
y= -1/2x-2
We can then check the point of intersection:
-1/2x-2=2x+3
-5=2.5x
x=-2
we can plug this in to the first equation to get y=2(-2)+3=-1
So the point of intersection of the circle and the tangent line is (-2,-1)
Then we find the distance of this point to (2,-3) and we can use pythagorean theorem.
[tex]\sqrt{(-2-2)^{2}+(-1-(-3))^{2} } =\sqrt{(-4)^{2}+2^{2} } =\sqrt{20} =2\sqrt{5}[/tex]
The radius of the circle is [tex]2\sqrt{5}[/tex]
For Line y=2x+3 is tangent to a circle with center (2,-3) then the length of the radius of the circle is 10/√5
What is Distance?The length along a line or line segment between two points on the line or line segment.
Distance=√(x₂-x₁)²+(y₂-y₁)²
The line y=2x+3 is tangent to the circle with center (2,-3)
The distance from the center of the circle to the line is equal to the radius of the circle.
The distance from a point (x₁, y₁) to a line Ax + By + C = 0 is given by the formula:
d = |Ax₁+ By₁ + C| /√A² + B²
The equation of the line is y = 2x + 3, which can be written in the form Ax + By + C = 0 as (-2)x + y - 3 = 0.
d = |-2(2) + (-3) - 3| / √(-2)² + 1²
d=10/√5
The radius of the circle is equal to the distance from the center to the tangent line, which is:
radius = 10/√5
Hence, for Line y=2x+3 is tangent to a circle with center (2,-3) then the length of the radius of the circle is 10/√5
To learn more on Distance click:
https://brainly.com/question/15172156
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Ima just say the question to: "The length of each of the two congruent sides of an isosceles triangle is 2x + 3. The length of the third side is 2x. Its perimeter is 36 centimeters. Write and equation that could be used to find the value of x. Solve for x and then find the length of all three sides." 100 points!!!!
Answer:
x = 5
Congruent sides = 13 cm each
3rd side = 2(5) = 10 cm
Step-by-step explanation:
2(2x+3)+2x = 36
4x+6+2x = 36
6x = 36-6
x = 30/6
x = 5
Congruent sides = 2(5)+3 = 13
given the function below, which of the following values will result in f(x)=10
f(x)=1/2x+8
Answer: x=4
Step-by-step explanation:
1/2x+8=10
Subtract 8 from 10
Multiply 2 to 2
x=4
Step-by-step explanation:
1/2(10)+8=
1/20+8=
161/20=
8.05
James joins Club One which charges a monthly membership of $19.99. In 6 months, will he spend less than $120 in all?
Answer:
120
Step-by-step explanation:
round 19.99 to 20 and do 20 times 6
(64/8/ 4 + 7 – 2) • 5 =
Answer:
35
Step-by-step explanation:
Let me know if I got it right
Given the equation y=|x| complete the table of values
Answer:
2,1,0,1,2
Step-by-step explanation:
HELP
HOW AM I MEANT TO ANSWER THIS QUESTION I WOULD ASO LIKE ANSWER.
THX
Answer:
= 108
Step-by-step explanation:
the rectangle = 12 * 5 = 60
plan A:
the triangle A with H = (13 - 5)/2 = 8/2 = 4
then triangle A = [tex]\frac{1}{2}[/tex] * 6 * 4 = 24/2 = 12
total triangles = 12 * 4 = 48
hexagon area = 60 + 48 = 108
plan B:
there 13 - 5 = 8
because there are identical triangles, so we can shape both of it being a rectangle with short line is 8/2 =4, and long line is 12
then we calculate that rectangle area = 12 * 4 = 48, then total of the hexagon = 60 + 48 = 108
How much larger is 8 x 10^8 compared to 2 x 10^5?
О 4 times larger
O 40 times larger
O 400 times larger
O 4,000 times larger
HELP ASAP! QUICK ALGEBRA 20 POINTS!!!!!!! WILL AWARD BRAINLIEST
Answer:
On the first image: if 45 divides the number, it means you can rewrite it as 45 times something. Let's play with powers of 9 to see if you can make a 45 or rewrite it as a product of a power of 9 and a power of 5.
On the second and third images, it's just a matter of collecting common factors. I collected the minus sign so the parenthesis starts with a positive term, but it's a matter of personal preference.
Solve for the value of X
Check the picture below.
Can someone help me please
PLS ANSWER 30 POINTSSS
Answer:
letter B po
Step-by-step explanation:
basta letter B may ganyan din kame eh
What is the missing addend what +10=235
The sum lf two numbers is 10. The difference between the two numbers is 4: what is the smaller numerical?
Answer:
3
Step-by-step explanation:
The two numbers are 3 and 7, and 3 is the smaller one
Step-by-step explanation:
x, y are the 2 numbers.
x + y = 10
y - x = 4
that gives us
y = x + 4
and we use that in the first equation :
x + x + 4 = 10
2x = 6
x = 3
y = x + 4 = 3 + 4 = 7
so, yes, the smaller number is 3.
A student has a savings account with $475 in it.
She deposits $125 of her paycheck into the account
every week. Her goal is to save $7,000 for college.
How long will it be before she has $1350?
Answer: 7 weeks
Step-by-step explanation:
Let x represent number of weeks
Let y represent the total amount
Amount = Paycheck deposited * number of weeks + Initial amount
y = 125x + 475
Number of weeks until she has $1350
1350 = 125x + 475
125x+475-475=1350-475
125x=875
x=7
Therefore, the student will have $1350 in her bank account after 7 weeks
what is
The lines shown below are parallel. If the green line has a slope of -3/7
the slope of the red line?
W(x)=3x^2-3x .find w(5+t)
Answer:
[tex]60+27t+3t^2[/tex]
Step-by-step explanation:
Let's put 5+t wherever we have x in the original: rest is simple algebra.
[tex]w(5+t) = 3(5+t)^2 -3(5+t) = 3(25+10t+t^2)-15-3t =75+30t+3t^2-15-3t =60+27t+3t^2[/tex]
