Answer: 7.5
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 7.5%/100 = 0.075 per year,
then, solving our equation
I = 1200 × 0.075 × 2 = 180
I = $ 180.00
I really need help plsss!!!
Answer:
(a)
[tex]f(x) = \left \{ {{5x;\ 0<x\le 5} \atop {5x-5; x > 5}} \right.[/tex]
(b) Rate = 5
(c) Rate = 5
Step-by-step explanation:
Given
The attached graph
Solving (a): The piece-wise function
For the first line
Calculate the slope of the first line
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (0,0)[/tex]
[tex](x_2,y_2) = (5,25)[/tex]
So, the slope is:
[tex]m = \frac{25 - 0}{5 - 0}[/tex]
[tex]m = \frac{25}{5}[/tex]
[tex]m = 5[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
Where: [tex]m = 5[/tex] and [tex](x_1,y_1) = (0,0)[/tex]
[tex]y = 5(x - 0) + 0[/tex]
[tex]y = 5(x) + 0[/tex]
[tex]y = 5x[/tex]
So, the function of the first line is:
[tex]f(x) = 5x;\ 0 < x \le 5[/tex]
For the second line
Calculate the slope of the second line
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (5,20)[/tex]
[tex](x_2,y_2) = (9,40)[/tex]
So, the slope is:
[tex]m = \frac{40 - 20}{9 - 5}[/tex]
[tex]m = \frac{20}{4}[/tex]
[tex]m = 5[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
Where: [tex]m = 5[/tex] and [tex](x_1,y_1) = (5,20)[/tex]
[tex]y = 5(x - 5) + 20[/tex]
[tex]y = 5x - 25 + 20[/tex]
[tex]y = 5x -5[/tex]
So, the function of the second line is:
[tex]f(x) = 5x -5;\ x>5[/tex]
Hence, the piece-wise function is:
[tex]f(x) = \left \{ {{5x;\ 0<x\le 5} \atop {5x-5; x > 5}} \right.[/tex]
Solving (b): The rate at which customers that buy up to 5lb buy.
[tex]x = 5[/tex]
This question implies that, we determine the rate at which this customer buys.
For [tex]x = 5[/tex]
[tex]f(x) = 5x;\ 0 < x \le 5[/tex]
The slope of the above function is 5.
So, this customer buys at the rate of $5 per lb
Solving (b): The rate at which customers that buy more than 5lb buy the extra pounds above 5lb.
For [tex]x > 5[/tex]
[tex]f(x) = 5x -5;\ x>5[/tex]
Assume x = 6
[tex]f(6) = 5 * 6 - 5[/tex]
[tex]f(6) = 30 - 5[/tex]
[tex]f(6) = 25[/tex]
Express as 20 + 5
[tex]f(6) = 20 + 5 * 1[/tex]
Assume x = 7
[tex]f(7) = 5 * 7 - 5[/tex]
[tex]f(7) = 35 - 5[/tex]
[tex]f(7) = 30[/tex]
[tex]f(7) = 20 + 10[/tex]
Express 10 as 5 * 2
[tex]f(7) = 20 + 5 * 2[/tex]
So, we have:
[tex]f(6) = 20 + 5 * 1[/tex]
[tex]f(7) = 20 + 5 * 2[/tex]
This can be generalized as:
[tex]f(x) = 20 + 5(x - 5)[/tex]
For the above functions;
20 represents the amount they buy the first 5
5 represents the rate at which they buy extra pounds above 5
Hence, they buy the extra pounds at the rate of $5 per pound
Solve for x. -4.5 = -0.5(x – 7.1)
Answer:
16.1
Step-by-step explanation:
Answer:
I believe the answer is x = 16.1
Step-by-step explanation:
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answer:
just upload the file
Step-by-step explanation:
Answer:
1:Add the x for the number of tbs 2: Add all the values together.
Step-by-step explanation:
Hope this helped!
Will give BRAINLIEST if you help me out
Can someone help me with these two questions
What is the square root of 460
Answer:
21.4476105895
Step-by-step explanation:
Using a calculator [tex]\sqrt{460\\}[/tex]
Answer:
approximately 21.448 or 2 times the square root of 115
Step-by-step explanation:
Please help I’m really need the help (NO LINKS ) (NO LYING ) PART 2 again again again again
Answer:
television
Our world is more and more a single “information society”, and television, as the world's most powerful medium of communication, is a key part of that society. Television can be a tremendous force for good. It can educate great numbers of people about the world around them.
Step-by-step explanation:
television
Our world is more and more a single “information society”, and television, as the world's most powerful medium of communication, is a key part of that society. Television can be a tremendous force for good. It can educate great numbers of people about the world around them.
What is one strength that Percy shows in chapter 3
What is one weakness that Percy shows in chapter 3
please answer both questions above correctly please im giving brainliest to the fastest and correct answer
Answer:
Percy’s strengths is his loyalty to his friend. When he was in danger, he could have escaped and saved his own life. But he showed loyalty by choosing to stay and fight to help his friend. He says, “… there was Grover, needing my help.” Percy’s only weakness in this section is becoming frozen by his fear. When his mother tells him to run, he can’t. The text says, “But I just stood there, frozen in fear, as the monster charged her.”
Step-by-step explanation:
can someone solve these for me? its factoring trinomials
you can dm the answers on ig as well if you'd like
Answer:
1.) [tex]\left(x-3\right)\left(x+6\right)[/tex]
2.) [tex]\left(a-3\right)^2[/tex]
3.) [tex]=\left(t+8\right)\left(t-9\right)[/tex]
4.) [tex]=\left(b+7\right)^2[/tex]
Step-by-step explanation:
2.) [tex]=a^2-2a\cdot \:3+3^2[/tex], [tex]\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a-b\right)^2=a^2-2ab+b^2[/tex].
[tex]a=a,\:b=3[/tex]
[tex]=\left(a-3\right)^2[/tex]
3.) [tex]=\left(t^2+8t\right)+\left(-9t-72\right)[/tex][tex]=t\left(t+8\right)-9\left(t+8\right)[/tex], [tex]\mathrm{Factor\:out\:common\:term\:}t+8[/tex].
[tex]=\left(t+8\right)\left(t-9\right)[/tex]
What is the value of 7, 488 / 416
Answer:
8.17307692308
Step-by-step explanation:
7,488 divided by 416 is 18 (:
Select all numbers that have an absolute value of 6.3.
Answer:
6.3 & -6.3
Step-by-step explanation:
6.3 is the same as -6.3, hope this helps
Answer:
-6.3 and 6.3
Step-by-step explanation:
-6.3 is same as 6.3 is absoulte value
C=2πr
Diameter is 10
what are irrational numbers
Answer:
hi
Step-by-step explanation:
Irrational numbers are numbers that cannot be expressed as the ratio of two whole numbers.
Quinn correctly answered 72 questions on a test, getting a score of 80%. How many questions were on the test?
Answer:
90
Step-by-step explanation:
If the points in the table lie on a parabola, write the equation whose graph is the parabola.
Answer:
what? i need a table to answer
Step-by-step explanation:
Which is larger 64 inches or 5 feet
Answer:
64 inches
Step-by-step explanation:
There are 12 inches in a foot
12 x 5 is 60
64 is greater then 60
Select all equations that are equivalent to x2+6x=16.
Answer:
The third one and the last one:
x²+6x+9=25
(x+3)²=25
Step-by-step explanation:
If you need an explanation tell me in comments <3
(x + 3)² = 25 and x² + 6x + 9 = 25 are equivalent to x² + 6x = 16.
What is a quadratic equation?
A quadratic equation is an algebraic equation of 2nd degree usually in the form of ax² + bx + c = 0.
Given,
x² + 6x = 16
⇒ x² + 2 × 3 × x = 16
⇒ x² + 2 × 3 × x +9 = 16 + 9
⇒ (x)² + 2 × 3 × x +9 = 25
⇒ (x + 3)² = 25
⇒ x² + 6x + 9 = 25
Hence, (x + 3)² = 25 and x² + 6x + 9 = 25 are equivalent to x² + 6x = 16.
Learn more about quadratic equation here: https://brainly.com/question/17718371
#Tag #SPJ2
Jonathan took 33 pictures on the class trip and 67
pictures on field day. He gave 12 pictures to his friends.
He wants to put the remaining photos in a photo album.
Each page in the album can hold 6 pictures. How many
pages is he going to need so that all the remaining
pictures fit in the album?
Answer:
JONATHAN WILL NEED 14 PAGES.
Explanation:
33 + 67 = 100
100 - 12 = 88
88 ÷ 6 = 14.6666667
14.6666667 ⇒ 14
(Round 14.6666667 down to 14 because Johnathan does not have .6666667 of a page.)
Can anybody explain how to solve this? Ur girl is kinda in a crisis rn...
Answer:
Slope= 1/2
y-intercept= -1
Step-by-step explanation:
So the formula that the equation is following is y=mx+b.
M stands for slope and b is the y-intercept.
7,653 to nearest hundreds
which of the following piecewise graphs is not a function
Answer:
The first graph is not a function because it has two values at x = 3. Definition of a function is that it is a relation that assigns exactly one value for each value on its domain
The first bus stop on a bus route is 4 miles from school. How many yards is the first bus stop from school?
Answer:
7040 yards
Step-by-step explanation:
1 mile = 1760 yards
1 x 4 miles = 1760 x 4 yards
4 miles = 7040 yards
SOMEONE PLSS HELP ME, THIS IS DUE TODAY (I WILL GIVE BRAINLIEST)
A) less than -5
B) less than or equal to -5
C) greater than -5
D) greater than or equal to -5
Answer:
A
Step-by-step explanation:
Answer:
A) less than -5
Step-by-step explanation:
If it is lesser than -5, that means the line will be going to the left. This also means that the circle will be an open circle, not shaded.
A beach umbrella has a circumference of 8.8 feet what is the radius of an umbrella?
Answer:
radius = 1.4
Step-by-step explanation:
The formula for circumference is as follows:
[tex]C = d\pi[/tex]
or
[tex]C = 2r\pi[/tex]
However, these formulas are the same, because the diameter is equal to the radius times 2. I prefer to use the first (it gives you less values to work with).
Anyhow, We would substitute like this:
[tex]8.8 = d\pi[/tex]
We know that pi, is going to be equal to: 3.14159
So we work from there...
[tex]8.8=d(3.14159)\\2.8011=d[/tex]
Diameter divided by 2 would be the radius, and thats:
1.4006
or 1.4
5(a-b), if a= -4, b =-2
Answer:
-10
Step-by-step explanation:
a= -4
b = -2
5(a-b)
5( -4 - (-2))
5( -4 + 2)
5(-2)
-10
What number is 15 less than 63?
Answer:
48
Step-by-step explanation:
Answer:
48
Step-by-step explanation:
Calculate the side lengths a and b to two decimal places
Answer:
E
Step-by-step explanation:
using the Sine rule in Δ ABC
[tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]
where a is the side opposite ∠ A , b opposite ∠ B , c opposite ∠ C
we require to calculate ∠ C
∠ C = 180° - (64 + 85)° = 180° - 149° = 31°
then to find a , using
[tex]\frac{a}{sinA}[/tex] = [tex]\frac{c}{sinC}[/tex]
[tex]\frac{a}{sin64}[/tex] = [tex]\frac{9.3}{sin31}[/tex] ( cross- multiply )
a × sin31° = 9.3 × sin64° ( divide both sides by sin31° )
a = [tex]\frac{9.3sin64}{sin31}[/tex] ≈ 16.23 ( to 2 decimal places )
then to find b , using
[tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]
[tex]\frac{b}{sin85}[/tex] = [tex]\frac{9.3}{sin31}[/tex] ( cross- multiply )
b × sin31° = 9.3 × sin85° ( divide both sides by sin31° )
b = [tex]\frac{9.3sin85}{sin31}[/tex] ≈ 17.99 ( to 2 decimal places )
The average home in the U.S. is expected to cost $240,000. A random sample of 65 homes sold this month showed an average price of $232,000. Assume that you have access to this data. We are interested in determining if the cost of the average home has decreased this month. If the test statistic is -1.79, what is the p-value
Solution :
It is given that we have a null and an alternative hypothesis. The hypothesis are :
[tex]$H_0: \mu = 240,000$[/tex]
[tex]$H_a : \mu < 240,000$[/tex]
We have to find if the cost of average home has decreased or not in this month.
So it is given that the test statics is -1.79, so the p value associated with the test statics is less than ( α ) 0.01
Therefore, we can conclude that the cost of the average house is less than $ 240,000.
I need help with this if anyone got a answer tell me pls
Answer:
15
Step-by-step explanation:
30 + 4x=90
4x=60
x=15
HELP ASAPPPPP! I WILL GIVE BRAINLEST
The two numbers have 1 as a common factor and nothing else. Hence 1 is the HCF. This proves that the HCF of any two consecutive numbers is always a one.
Two integers are relatively prime (or coprime) if there is no integer greater than one that divides them both (that is, their greatest common divisor is one). For example, 12 and 13 are relatively prime, but 12 and 14 are not.