Hello!
Answer:
g = 9
Step-by-step explanation:
(g+1)^2
Plug in 2 for g: (2+1)^2
Add 2 and 1: (3)^2
Simplify: (3 x 3)= 9
Hope this helps.
HELP! Which expression is equivalent to a^b/c
Answer:
[tex]{ \rm{ {a}^{ \frac{b}{c} } \: \dashrightarrow \: ( {a}^{b}) {}^{ \frac{1}{c} } }} \\ \\ { \boxed{ \rm{ \boxed{} \: \: \sqrt[c]{ {a}^{b} } }}} \\ [/tex]
a service company charges a 5% service fee
Answeis is that
is that the whole qeustion
Step-by-step explanation:
where is the image
will give brainliest to the correct answer
there are 192 candies. some are sour and some are sweet. for every 15 sour there is 1 sweet. how many candies are in the bag? how many are sweet?
You owe $1,753.42 on a credit card with a limit of $3,000.00 at a rate of 15.5% APR. You pay $400.00 the first 2 months and then
$200.00 until the bill is paid off. You pay the bill on the due date each month.
1) Complete the table showing the decreasing debt.
2) How much is your last payment?
3) What is the total amount paid by the time you pay off the credit card?
4) What was your debt ratio at the beginning?
Be sure to include in your response:
All parts of the table are complete and calculations correct
The answers to the additional questions
Month
Principal
Interest
accrued
Payment (on
due date)
End-of-
month
balance
9514 1404 393
Answer:
see attached$33.97$1833.970.584Step-by-step explanation:
1. We cannot be sure of your table headings, so we used ones that seem to fit. The completed table is attached.
The amount of interest is computed first. It is the product of the previous balance and the monthly interest rate: 0.155/12. This amount is rounded to cents, as it would be in real life.
The remainder of the payment after interest is paid goes to reduction of the principal amount owed. That payment to principal is subtracted from the previous EOM Balance to give the new end-of-month balance.
The total of payments to date is found in the Accrued Pmt column.
__
2. For the last payment, we made note of the interest owed and the outstanding balance, and added those values to get the payment amount. The result is the final balance is zero. The last payment is $33.97.
__
3. The total of all payments is $1833.97.
__
4. The "debt ratio" is presumed to mean the ratio of the credit card balance to the credit card limit. That ratio is ...
1753.42/3000 ≈ 0.584 . . . . "debt ratio"
_____
Additional comment
Various definitions of "debt ratio" are used by different folks for different purposes. Sometimes, it means the ratio of debt to income. Sometimes it means the ratio of minimum payments due to income. Here, we're not given any income information, so we presume the ratio is supposed to mean the fraction of credit limit that is being utilized.
What is the equation of the blue line?
Answer:
y = 4x - 3
Step-by-step explanation:
When writing an equation of a line, keep in mind that you always need the following information in order to determine the linear equation in slope-intercept form, y = mx + b:
1. 2 sets of ordered pairs (x, y)
2. Slope (m)
3. Y-intercept (b)
First, we need to choose 2 points from the graph to solve for the slope:
Let (x1, y1) = (0, -3)
(x2, y2) = (1, 1)
Use the following slope formula:
[tex]m = \frac{y2 - y1}{x2 - x1}[/tex]
Substitute the values of the coordinates into the formula:
[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{1 - (-3)}{1 - 0} = \frac{1 + 3}{1} = \frac{4}{1} = 4[/tex]
Therefore, the slope (m) of the line = 4.
Next, we need the y-intercept, (b). The y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. The y-coordinate of the point (0, -3) is the y-intercept. Hence, the y-intercept (b) = -3.
Given our slope, m = 4, and the y-intercept (b) = -3, the linear equation is:
y = 4x - 3
Please mark my answers as the Brainliest if you find my explanations/solution helpful :)
Which of the functions below could have created this graph?
Answer:
D.
Step-by-step explanation:
End behavior : Left up and right down
Even degree with negative leading coefficient
marking as brainliest
Answer:
3 cm
Step-by-step explanation:
area=length times width.
length=4
width must be 3 as 4x3=12
Please help asap show work to
Answer:
[tex]{ \rm{V(x) = 4x {(10 - x)}^{2} }} \\ \\ { \rm{ \frac{dv}{dx} = 4 {(10 - x)}^{2} + 4x( - 2(10 - x))}} \\ \\ { \rm{ \frac{dv}{dx} = 4 {(10 - x)}^{2} + 4x( - 20 - 2x) }} \\ \\ { \rm{ \frac{dv}{dx} = 4(100 - 20x + {x}^{2} ) + ( - 80x - 8 {x}^{2} ) }} \\ \\ { \rm{ \frac{dv}{dx} = - 4 {x}^{2} - 160x + 400}}[/tex]
• But at maximum volume, dv/dx is 20 square inches.
[tex]{ \rm{ - 4 {x}^{2} - 160x + 400 =2 0}} \\ \\ { \rm{ {x}^{2} + 40x - 95 = 0}}[/tex]
• Using the quadratic formula:
[tex]{ \underline{ \rm{ \: \: x \approx3\: \: squares \: \: }}}[/tex]
• Therefore,
For maximum volume,
[tex]{ \rm{V(x) = 4x(10 - x) {}^{2} }} \\ \\ { \rm{V(3) = (4 \times 3)(10 - 3) {}^{2} }} \\ \\ { \rm{V(3) = 12 \times 49}} \\ \\ { \boxed{ \rm{V = 588 \: {in}^{3} }}}[/tex]
y = x + 3
help with table and graph
Table:
1st row: x = -2 and y = 1
2nd row: x = -1 and y = 2
3rd row: x = 0 and y = 3
(It will continue going on with x and y each going up by one infinitely.)
Graph:
The graph is linked, so you can plot the points.
If needed, here are the plotted points:
-2, 1
-1, 2
0, 3
(The same things put in the table. Also, if needed, I added the extra points of 1, 4 and 2, 5 on the image.)
Hope this helps! :D
9. The total length of the Trans-Canada Highway is 7870 km. About 6% of
the highway is in Alberta. How many kilometres are in Alberta?
Answer:
472.2 km
Step-by-step explanation:
if you write 14 to the power of 6
in expanded form, how many factors will there be?
9514 1404 393
Answer:
6
Step-by-step explanation:
The power is used to signify repeated multiplication in the same way a multiplier signifies repeated addition.
14⁶ = 14×14×14×14×14×14
There are 6 factors of 14.
what set operation combining all elements that are in two sets?
7/8 divided by 3/4 is what?
Answer:
1/8
Step-by-step explanation:
3/4=6/8
7-6=1
therefore 1/8
Answer:
7/6
Step-by-step explanation:
7/8 divided by 3/4= 7/8 x 4/3 = 28/24= 7/6
> The cost of a popsicle at the snack stand is $0.75. Let p represent the number of popsicles and c represent total cost. Use an equation to represent the relationship between the numbers of popsicles bought and the total cost. Type your answer below.
This is what my previous tutor sent, that I don’t understand:
popsicles price: p = 0.75
c = cost
x = number of popsicles bought.
cost = popsicle price * number bought
c = p * x
c = 0.75x
Answer:
SWE
Step-by-step explanation:
what number has the prime factorization 2 6th * 5 6th show your work
Solve using the square root method X2=25
Answer:
Square root =
remember :
[tex]\boxed {x^2 = \pm a}[/tex]
x² = ± a
x = ña
.
x = ñ25
x = ±5
• x = 5 and -5
Your business is looking into three contracting firms. Based on previous research, there is a 75% chance that company 1 will earn you $40,000. There is a 45% chance that company 2 will earn you $60,000. Company 3 has a 30%chance of earning you $80,000. It costs $20,000 to draw up legal paperwork for each company. How much profit or loss would you expect after this deal is done if you sign with all 3 companies?
$21,000 loss
$81,000 loss
$21,000 profit
$81,000 profit
there would be a $21,000 profit.
this is because of the equation:[tex]40,000(.75) + 60,000(.45)+80,000(.30)+(-20,000)(1)= 21,000[/tex]
I would expect a $21,000 profit if I sign with all 3 companies.
Given that my business is looking into three contracting firms, and based on previous research, there is a 75% chance that company 1 will earn me $ 40,000, there is a 45% chance that company 2 will earn me $ 60,000, while Company 3 has a 30% chance of earning me $ 80,000, and it costs $ 20,000 to draw up legal paperwork for each company, to determine how much profit or loss would I expect after this deal is done if I sign with all 3 companies, the following calculation must be performed:
((40,000 x 0.75) - 20,000) + ((60,000 x 0.45) - 20,000) + ((80,000 x 0.30) - 20,000) = X 30,000 - 20,000 + 27,000 - 20,000 + 24,000 - 20,000 = X 81,000 - 60,000 = X 21,000 = X
Therefore, I would expect a $21,000 profit if I sign with all 3 companies.
Learn more in https://brainly.com/question/22097128
Let f(x) = x^3 + 2x^2 + 3x + 1 and g(x)= 4x-5 Find f(x) x g(x)
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
Given :
[tex]f(x) = {x}^{3} + 2 {x}^{2} + 3x + 1[/tex]
[tex]g(x) = 4x - 5[/tex]
let's solve for f(x) × g(x) :
[tex]( {x}^{3} + 2x {}^{2} + 3x + 1)(4x - 5)[/tex]
[tex]4x {}^{4} - 5 {x}^{3} + 8 {x}^{3 } - 10 {x}^{2} + 12 {x}^{2} - 15x + 4x - 5[/tex]
[tex]4 {x}^{4} + 3 {x}^{3} + 2 {x}^{2} - 11x - 5[/tex]
therefore, correct choice is : D
X= 2y-3 what is equation for y
Answer:
y=1/2+3/2
Step-by-step explanation:
I wrote the answer is slope intercept form because it an equation for y
Slope intercept form = y=mx+b
Hope this helps
what is the domain of f in the equation f(x)=2(x-1)^2-4
Answer:
[tex](-\infty, \infty)[/tex]
Step-by-step explanation:
There are no restrictions on the possible values of [tex]x[/tex], because you can square any number.
Because [tex]x[/tex] can be anything, the domain is all reals or [tex]\boxed{(-\infty, \infty)}[/tex] which means [tex]x[/tex] can be any real number.
The mean weight of five complete computer stations is 163 pounds. The weights of four of the computer stations are 155 pounds, 160 pounds , 165 pounds and 171 pounds what is the weight of the fifth computer
Answer:
answer : 164 pounds
Step-by-step explanation:
total weight of five computers
163 x 5 = 815 pounds
the weight of the fifth one = total
weight - other four
815-155-160-165-171=164 pounds
hope it helps :)
Please help screenshot attached have 1 hr 30 mins
Answer:
$202.80
Step-by-step explanation:
y=0.08x+1/20
x=2520
y=0.08x+1.20
0.08*2520+1.20
201.6+1.20
$202.8
What is the Compound interest on a 10,000 investment the earns 6% compound monthlyfor5 years
Answer:
The total compound interest is $3,488.50, I hope I helped explain how to find total compound interest
Step-by-step explanation:
So the formula for this would be:
A = P(1+r/n)^nt
A = the amount of your principal plus interest, which is the total
P = stands for the principal, which is your original amount invested
r = shows the interest rate in decimal form
n = stands for the number of compounding periods
So to solve for the compound interest we would plug in our numbers in replacement for the letters
Find the median of the following set of numbers.
{36, 16, 24, 33, 49}
Answer:
33
Step-by-step explanation:
First, you need to put it in numerical order: 16, 24, 33, 36, 49
Next, find the number in the MIDDLE of it, which would be 33.
So, the answer is 33.
A 5-k race is 5 kilometers long. How long is it in millimeters?
Answer: 1 kilometer = 1,000,000 millimeters so multiply that times 5 and you have your answer 5,000,000 millimeters.
A line passes through (-2,4), (-4, 8), and (n, -4). Find the value of n.
Answer: n = 2 ....... (2, -4)
Step-by-step explanation:
To find n, one must write the equation for the points given, which are (-2, 4) and (-4, 8). Remember, the standard linear equation is y = mx + b, where m is the slope of the line.
To find the slope, refer back to (y2-y1)/(x2-x1), or in this case, (8-4)/(-4+2), which gives us -2
With our slope of -2, we can write the equation as y = -2x+b. Now, we need to find b (the y-intercept) by plugging in a point as (x,y)
Let's use (-4,8) point and plug it into our linear equation: y = -2x+b
to get 8=(-2)(-4) +b
8=8+b
0=b (which means our y-intercept is 0)
Now, our official linear equation is y=-2x
The problem gives us (n, -4) where -4 y, so we plug in -4 as y in the equation to get:
-4=-2x
-4/-2=x
2 = x
And there we go :) I hope this helps!
Answer:
The value of n = 2.
Step-by-step explanation:
Given the following points passing through a line, (-2, 4), (-4, 8), and (n , -4) wherein we must find the value of n:
It helps to determine the equation of the line, using the slope-intercept form: y = mx + b, where:
m = slope (rate of change), which measures the steepness of the line.b = y-coordinate of the y-intercept; it is the point on the graph where it crosses the y-axis. Slope:In order to solve for the slope of the line, use the following slope formula:
[tex]\displaystyle\mathsf{m =\:\frac{y_2 - y_1}{x_2 - x_1}}[/tex]
Let (x₁, y₁) = (-2, 4)
(x₂, y₂) = (-4, 8)
Substitute these values into the slope formula.
[tex]\displaystyle\mathsf{m =\:\frac{y_2 - y_1}{x_2 - x_1}}[/tex]
[tex]\displaystyle\mathsf{m =\:\frac{8 - 4}{-4 -(-2)}\:=\:\frac{4}{-4+2}\:=\Frac{4}{-2}\:=\:-2}[/tex]
Hence, the slope of the line is: m = -2.
Y-intercept:Next, we must solve for the y-intercept. Since it is the point where the graph crosses the y-axis, set x = 0 and solve for the value of y.
Use the slope, m = -2, and one of the given points, (-2, 4), and substitute these values into the slope-intercept form to solve for the value of the y-intercept, b:
y = mx + b
4 = -2(-2) + b
4 = 4 + b
Subtract 4 from both sides:
4 - 4 = 4 - 4 + b
0 = b
The y-intercept is: b = 0.
Linear Equation in Slope-intercept Form:Therefore, the equation of the line in slope-intercept form is:
y = -2x + 0 or y = -2x.
Find the value of n in (n, -4)In order to determine the value of n, substitute its corresponding y-coordinate, -4, and substitute into the equation in the previous step:
Set y = -4:
y = -2x
-4 = -2x
Divide both sides by -2 to solve for x:
[tex]\displaystyle\mathsf{\frac{-4}{-2}\:=\:\frac{-2x}{-2}}[/tex]
x = 2
Therefore, the value of n = 2.
A bakery must pay the state 8% sales tax on this week's total sales of $2,050. How much sales tax will the bakery pay to the state for this week?
A. $164.00
B. $164.00
C. $256.25
D. $256.25
Find the solutions to the following equation.
0 =(x-6)(x+4)
Answer:
x=6,−4
Step-by-step explanation:
1 Switch sides.
(x-6)(x+4)=0
2 Solve for xx.
x=6,-4
Answer:
2−2−24
Step-by-step explanation:
List all the positive even numbers less than 10:
Answer is
2, 4, 6, 8
slope of the line (1,2)(4,1)
Answer:
-1/3
Step-by-step explanation:
y2 - y1 / x2 - x1
(1,2)(4,1)
1-2 / 4-1
-1/3
