Answer:
[tex](a)\ t^2 - 20t + 75= 0[/tex]
[tex](b)[/tex] [tex]t = 5; t -=15[/tex]
Step-by-step explanation:
Given
[tex]p(t) = t^2 - 20t + 175[/tex]
Solving (a): Equation when profit = 100.
This implies that:
[tex]p(t) =100[/tex]
So, we have:
[tex]100 = t^2 - 20t + 175[/tex]
Rewrite as:
[tex]t^2 - 20t + 175 - 100 = 0[/tex]
[tex]t^2 - 20t + 75= 0[/tex]
Solving (b): Calculate t, in (a)
In a, we have:
[tex]t^2 - 20t + 75= 0[/tex]
Expand
[tex]t^2 - 15t -5t + 75= 0[/tex]
Factorize
[tex]t(t - 15) -5(t - 15)= 0[/tex]
Factor out t - 15
[tex](t - 5)(t - 15)= 0[/tex]
Split
[tex]t - 5 = 0; t - 15 =0[/tex]
Solve
[tex]t = 5; t -=15[/tex]
The prices are $5 and $15, respectively
Which is a true statement based on the dot plots below?
10 20 30 40 50 60
10 20 30 40 50 60
Set A
John receives a $20000 salary for working as an agent. If John has to spend $11000 of his salary on expenses each year, then what percent of John's money does he have to spend?
Answer:
55%
Step-by-step explanation:
Percent spent = (amount spent / total income) x 100
( $11000 / $20000) x 100 = 55%
HELLLLPPPPPPP PLEASEEEEEE BEGGGGI G SOMEONE PLEASEEEEEEEEE
Answer:113
Step-by-step explanation:
A baseball card that was valued at $200 in 1980 has increased in value by 7% each year. Write a function to model this situation, then find the value of the card in 2016
Answer:
$2284.6
Step-by-step explanation:
Given data
Principal= $200
Rate= 7%
Time= 1980-2016= 36 years
The expression for the exponential model is given as
A= P(b)^t
b=1+r-----------because will are dealing with increase
A= P(1+r)^t
A=200(1+0.07)^36
A= 200(1.07)^36
A= 200*11.423
A=$2284.6
The value of the card is $2284.6
NEED ASAP
The arithmetic mean of the monthly salaries of two people is $4444. One person earns $3191 per month. What is the monthly salary of the other person?
Step-by-step explanation:
Write what you know
mean is: Sum of all data points / Number of data points
any unknown number we'll call x
so youd write
(x + $3191) / 2 = $4444
Solve for x
let me know if you need further help
1. **Which of the foll byowing is equivalent to y4 x y^8?
A. y32
B. y4
C. 2y 12
d. y12
Answer:
SOLUTION[tex] {y}^{4} \times {y}^{8} = y8 + 4 = {y}^{12} [/tex]
Beacause of the property of exponent = [tex]a ^{b} \times {a}^{c} = a ^{b + c} [/tex]Hi can some one please help me :)!
Answer:
Step-by-step explanation:
rational integer and real
it is rational because it is a perfect root of 2
it is a integer because every positive and negative numbers are integers.
I NEED THIS QUICK no links !!!!! (math)
answer: the answer is c
complete:
a 20% x ____ = $30
Answer:
20/100*x=$30
20x/100=$30
x/5=$30
x=$30*5
x=$150
Step-by-step explanation:
20 percent of 150 equals 30 so 150 times 20 percent would give you 30
3x −3 y −4 ⋅ 3x 3 y 3
help me plzz nowwwwww plzz
Answer:
18
Step-by-step explanation:
colored: white
3 :8
We have 48 white papers so multiply each side by 6
colored: white
3*6 : 8*6
18 48
There are 18 colored papers
Answer:
C) 18
Step-by-step explanation:
3/8 = c/48
cross-multiply to get:
8c = 144
c = 18
Please solve with explanation
Answer:
Rewrite the equation as 28a^4+ma^3−19a^2−2a+3=(7a^2+2a−3)(4a^2−1).
28a^4+ma^3−19a^2−2a+3=(7a^2+2a−3)(4a^2−1)
Simplify (7a^2+2a−3)(4a^2−1).
28a^4+ma^3−19a^2−2a+3=28a^4−19a^2+8a^3−2a+3
Move all terms not containing m to the right side of the equation.
ma^3=8a^3
Divide each term by a3 and simplify.
m=8
Step-by-step explanation:
Hope to help you
(3^2+4−2)(2^2−3−4) can you guys please solve this for me please.
Answer:
-33
Step-by-step explanation:
[tex](3^2+4-2)(2^2-3-4)[/tex]
[tex](9+4-2)(4-3-4)[/tex]
[tex](13-2)(1-4)[/tex]
[tex](11)[/tex] · [tex](-3)[/tex]
(-33)
Santiago buys a new television for $989.76. If
the sales tax rate is 8.75%, what is the total cost
of the television?
Answer:
$1076.36
Step-by-step explanation:
The full price before tax can be represented by 1.00($989.76), and the 8.75% tax by 0.0875($989.76)
which can be combined to obtain the total cost: (1.0875)($989.76) = $1076.36
Matthew worked a summer job and saved $900 each
summer for the last 4 years. He also has been awarded a
grant in the amount of $5,000 and he received $3,000 in
scholarships. He estimated the first year of college to cost
$13,000. If he uses his savings, the grant, and his
scholarship, how much more will he need to pay for the
first year of college?
Answer:
1400
Step-by-step explanation:
hope that helps <3
Find the midpoint and distance of the line segment AB connecting the two points: A(- 4, 5) and B(0, 8)
PLZZZZZZZZZZZZZ HELPPPPPPPPP
Answer:
Given, Distributive property, Subtraction Property, Division Property, Prove
Step-by-step explanation:
This is what I think the answer is. So if the answer is wrong than I don't know
IMPORTANT! SOMEONE PLEASE LOOK AT MY UNANSWERED QUESTIONS FROM THE PAST HOUR!!! I REALLY NEED HELP!!!
Answer:
Step-by-step explanation:
kk
NEED ASAP URGENT
Which similarity statement expresses the relationship between the two triangles?
triagleZYX- triangleCAB
triangleZYX-triangleACB
triangleZYX-triangleCBA
triangleZYX - triangleABC
Given:
The figure of two triangles.
To find:
The similarity statement for the given triangles.
Solution:
The corresponding sides of similar triangles are proportional.
In the given triangles,
[tex]\dfrac{XY}{AB}=\dfrac{6}{12}[/tex]
[tex]\dfrac{XY}{AB}=0.5[/tex]
Similarly,
[tex]\dfrac{YZ}{BC}=\dfrac{3}{6}[/tex]
[tex]\dfrac{YZ}{BC}=0.5[/tex]
And,
[tex]\dfrac{XZ}{AC}=\dfrac{7}{14}[/tex]
[tex]\dfrac{XZ}{AC}=0.5[/tex]
Since [tex]\dfrac{XY}{AB}=\dfrac{YZ}{BC}=\dfrac{XZ}{AC}[/tex], therefore
[tex]\Delta XYZ\sim \Delta ABC[/tex]
It can be written as:
[tex]\Delta ZYX\sim \Delta CBA[/tex]
Therefore, the correct option is A.
HELP ME PLEASEEEEEEEEEEEE
Answer:
15 x 20 x 4 = 1,200
6 x 4 = 24, 24 divided by 2 ( x 1/2 ) = 12
12(area of 1 triangle) x 12(width) = 144
Formula area of a triangle:
B(base) x H(height) x 1/2(basically just dividing by 2)
Formula volume of a rectangular prism:
L x W x H
Answer:
1) 1200
2) 144
Step-by-step explanation:
1:
Volume Of A Cube: L * W * H
Substitute: 25 * 20 * 4
2:
Volume Of A Triangular Prisism: 0.5 * B * A * H
Substitute: 0.5(6 * 4) * 12
Solve 1/3(x-9)=2x+7
X=6
X=2
X=-6
X=-2
Answer:
x = -6
Step-by-step explanation:
1/3(x-9)=2x+7
1/3x - 3 = 2x + 7
-5/3x = 10
x = -6
I need help is it A B C or D
Answer fast please
what is the answer? please helppp
Answer:
1/4
Step-by-step explanation:
Probability is: (ways to get a desired result) / (total possible outcomes)
Choosing a yellow ball would be a desired result.
So, using the numbers that the question gives us,
(3 ways to get a yellow ball) / (12 golf balls total) =
3 / 12 =
1 /4
The answer is 1/4 chance.
Answer:
3/12 0r 1/4 <--- Simplified
Step-by-step explanation:
so there are 3 yellow which are in 12 gold balls so
it would be 3/12 or simplified 1/4
please anyone help asap
Answer:
Hi there! The correct answer should be: x is 60 degrees
Step-by-step explanation:
okay, so the equation is:
2x + 60 = 180
which we will solve:
2x + 60 - 60 = 180 - 60
2x = 120
x = 60
HELP PLEASE I HAVE TO TURN THIS IN IN 20 minutes!!!!!!!!
Answer:
well time has to be on the X-axis because it is an independent variable
as a distance will be dependent variable Y-axis
The ratio of boys to girls in the class is 3 to 4. If there were 12 boys, how many girls were there?
Answer:
Step-by-step explanation:
let girls be x
3/4=12/x(do cross multiplication)
12*4=3x
48/3=x
16=x
therefore there are 16 girls
Answer:
16 girls
Step-by-step explanation:
Set up a proportion. Let x = the number of girls.
3 / 4 = 12 / x
Cross multiply:
3x = 48
x = 16
PLEASE ANSWER URGENT
Answer:
D
Step-by-step explanation:
which list of numbers is ordered from least to greatest help pls
Answer: B
Step-by-step explanation:
If you change them all to decimals.
4.8% = .048
1/20 = .05
4.1 x [tex]10^{-1}[/tex] = .41
[tex]\sqrt{4}[/tex] = 2
So, that would be least to greatest.
picture, will give brainliest if its correct!!
Answer: the answer is 100
Step-by-step explanation:
What is the length of the hypotenuse?
Answer:
h=15feet.
Step-by-step explanation:
using Pythagoras theorem
h²=p²+b²
h²=12²+9²h²=144+81h=√225h=15feet.hope it helps.
stay safe healthy and happy.[tex]\huge\bold{To\:find:}[/tex]
✎ The length of the hypotenuse.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\sf\purple{The\:length\:of\:the\:hypotenuse \:"c"\:is\:15\:feet.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
Using Pythagoras theorem, we have
[tex]( {perpendicular})^{2} + ( {base})^{2} = ( {hypotenuse})^{2} \\⇢ ({12 \: ft})^{2} + ( {9 \: ft})^{2} = {c}^{2} \\ ⇢ 144 \: {ft}^{2} + 81 \: {ft}^{2} = {c}^{2} \\ ⇢ 225 \: {ft}^{2} = {c}^{2} \\ ⇢ \sqrt{225 \: {ft}^{2} } = c \\ ⇢ \sqrt{15 \times 15 \: {ft}^{2} } = c \\ ⇢ 15 \: ft = c[/tex]
[tex]\sf\blue{Therefore,\:the\:length\:of\:the\:hypotenuse\:is\:15\:feet.}[/tex]
[tex]\huge\bold{To\:verify :}[/tex]
[tex]( {12 \: ft})^{2} + ( {9 \: ft})^{2} = ( {15 \: ft})^{2} \\⇝144 \: {ft}^{2} + 81 \: {ft}^{2} = 225 \: {ft}^{2} \\ ⇝225 \: {ft}^{2} = 225 \: {ft}^{2} \\ ⇝L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]