Answer:
(x^2 + 4)(x - 3).
Step-by-step explanation:
I'm guessing you want to factor this.
You can do it by grouping:
x^3 - 3x^2 + 4x - 12
= x^2(x - 3) + 4(x - 3)
= (x^2 + 4)(x - 3).
Chase has a $42,500 line of credit which charges an annual percentage rate of prime rate plus 5%. His starting balance on June 1 was $2,550. On June 4, he borrowed $5,300. On June 9, Chris made a payment of $800, and on June 17, he borrowed $5,600. If the current prime rate is 10%, what is his new balance?
The best interest rate which banks can charge a customer is the prime rate.
His new balance is $12,735.291[tex]\overline 6[/tex]Reasons:
The Annual Percentage Rate, APR = Prime + 5%
∴ APR = 10% + 5% = 15%
[tex]\displaystyle The \ periodic \ rate = \frac{15}{12} = 1.25 \%[/tex]
The balance on June 1 = $2,550
Daily balance, June 1 — 3 = $2,550 × 3 = $7,650
June 4 borrowed $5,300
The new unpaid balance = $2,550 + $5,300 = $7,850
Daily balance from June 5 — 8 = $7,850 × 3 = $23,550
Chris made payment on June 9
Unpaid balance = $7,850 - $800 = $7,050
Daily balance from June 9 — 16= $7,050 × 8 = $56,400
June 17 borrowed $5,600
Unpaid balance = $7,050 + $5,600 = $12,650
Daily balance June 17 — 30 = $12,650 × 14 = $177,100
Sum of daily balance = 7,650 + 23,550 + 56,400 + 117,100 = 204,700
[tex]\displaystyle Average \ daily \ balance = \frac{204,700}{30} = 6,823.\overline 3[/tex]
Finance charge = Average daily balance × Periodic rate
∴ Finance charge = $6,823.[tex]\overline 3[/tex] × 0.0125 = $85.291[tex]\overline 6[/tex]
New balance = Cash advance + Credits and payment + Previous balance + Finance charge
New balance = $2,550 + $5,300 - $800 + $5,600 + $85.291[tex]\overline 6[/tex]
= $12,735.291[tex]\overline 6[/tex]
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Which inequality is represented by the graph?
Answer:
y < -3/2x + 1
Step-by-step explanation:
Points (-2,4) and (2, -2) are on the graph.
The graph crosses the y-axis at 1 so the y-intercept is 1
Slope = (change in the y-value)/(change in the x-value.
Slope = (-2 - 4)/ [2 - (- 2)]
Slope = -6/4
Slope = -3/2
The equation of the line : y = -3/2x + 1
Now the graph is dotted and it is shaded down.
Therefore the inequality is y < -3/2x + 1
Anyone for a brainly help me out
Answer:
y<x+1
Step-by-step explanation:
Plug your slope and a point into the formula y = mx + B, in which "m" is the slope, (x, y) is a point on the line and "b" is the y-intercept, to find the equation governing the inequality line. Plugging in (0, 0), you obtain 0 = 0 + b, so b = 0. Rewriting the equation, you obtain y<x+1
What is the slope of the line?
Step-by-step explanation:
the slope of the line is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
the trick in such a situation is to find good points on the chart that are crossed by the line. and by "good" I mean points with round integer coordinates.
I see 2 such points :
(-3, 4) and (1, -3)
x changes by +4 (from -3 to 1)
y changes by -7 (from 4 to -3)
the slope is therefore -7/+4 = -7/4
I’ll mark brainliest!! Please help:)
Answer:
E
Step-by-step explanation:
28 points I really need helppppppp
Find the equation of the line that passes through (1,2) and is perpendicular to y = 2 x + 3
Answer:
See belowStep-by-step explanation:
The slope of the perpendicular line with y = 2x + 3 is m = - 1/2.
Use point-slope form to find its equation:
y - y₁ = m(x - x₁)y - 2 = - 1/2(x - 1)or
y = -1/2x + 2 1/2or
y = -0.5x + 2.5Answer:
See below
Step-by-step explanation:
The slope of the perpendicular line with y = 2x + 3 is m = - 1/2.
Use point-slope form to find its equation:
y - y₁ = m(x - x₁)
y - 2 = - 1/2(x - 1)
or
y = -1/2x + 2 1/2
or
y = -0.5x + 2.5
give brainliest to me or to the person below or up bc I ctrl+c and ctrl+v
bc is soooo coool the other one lol
Hi I really need help with this please 25POINTS!!!
What is the Point of Maximum Growth of this function?
f(x)=(7)/(1+5e^(-0.9x)
Select the correct answer:
(0,7/6)
(0.39,3.5)
(-1.79,3.5)
(1.79,3.5)
Answer:
(0,7/6)
Step-by-step explanation:
no need to explain just tell the answer
Answer: z = 18
Step-by-step explanation:
180 = 90 + (3z+4) + (2z-4)
z = 18
IS CELL REPLICATION THE SAME THING AS DNA REPLICATION OR ARE THEY TWO SEPERATE THINGS
Answer:
See below:
Step-by-step explanation:
So, first of all, we know that Cell and DNA Replication are different just by looking at their names.
Cell Replication is to replicate cells and not DNA whereas DNA replication replicates DNA but not cells.
We do know that DNA resides inside Cells what we call eukaryotes.
So, in short, no, they are different things.
Cheers!
Marion and Stefan played a game called "Go." Marion won five times the difference between the number of games Stefan won and the number four. If Marion won fifteen games, then how many games did Stefan win?
Answer:
7
Step-by-step explanation:
Assume Stefan won x games,
Marion would win: 5(x-4) games,
5(x-4)= 15
5x-20= 15
5x= 15+20
5x= 35
x= 7.
Find the number that makes the ratio equivalent to 2:4
16:
The cost of a blue balloon is 4 times the cost of a yellow balloon. Rashmi spent₹ 910 in buying both blue and yellow balloons, find the cost of a blue balloon?
The cost of the blue balloon is ₹728.
let
the price of the yellow balloon = x
cost of the blue balloon = 4x
Total amount spent = ₹ 910
Therefore,
4x + x = 910
5x = 910
divide both sides by 5
5x / 5 = 910 / 5
x = 182
cost of the blue balloon = 4x = 4(182) = ₹728
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In ∆GHI and ∆JKL, GH = JK, HI = KL, GI = 9’, m∠H = 45°, and m∠K = 65°. Which of the following is not possible for JL: 5’, 9’ or 11’?
Answer:
11'
Step-by-step explanation:
A train travels with a constant speed
of 32 km/h. How long will it take to
travel a distance of 80 kilometers?
Answer:
2.5 hours
Step-by-step explanation:
time = distance / speed
t = 80 / 32
t = 2.5 hours
Y intercept
X intercept
Answer:
The Y intercept is -10
The X intercept is 3
Mei is making fruit punch.
She makes the fruit punch by mixing fruit juice and lemonade in the ratio 1 : 3.
The fruit juice costs £1.80 per litre.
The lemonade costs 75p per litre.
Work out the total cost of making 16 litres of fruit punch.
Answer:
16.2p (If lemonade is .75p, if not substitute in the equation below)
Step-by-step explanation:
In 4 liters, there would be 3 liters of lemonade and 1 liter in juice.
I am assuming 75p is meant to be .75p
So 4 liters costs: (1 x 1.8) + (3 x .75) = 4.05
We need 16 so: 4.05 x 4 = 16.2
Please help and no links!!!!
Answer: 18
Step-by-step explanation:
Please help me anyone i will give you brain points
Answer:
M = 11
Step-by-step explanation:
Find the slope of the line that passes through (10, 6) and (1,2)
Answer:
[tex]\frac{4}{9}[/tex]
Step-by-step explanation:
[tex]\frac{(2-6)}{(1-10)}[/tex]=[tex]\frac{-4}{-9}[/tex]=[tex]\frac{4}{9}[/tex]
angles of triangle sand explain how u got each question and answer pls ! ((:
Answer:
m∠1 = 41°
m∠2 = 85°
m∠3 = 95°
m∠4 = 85°
m∠5 = 36°
m∠6 = 49°
m∠7 = 96°
Step-by-step explanation:
Alright, so to start we have 2 quadrilaterals intersecting to form a triangle, which means that in the shapes with 4 angles, all angles will add up to 360°, while the triangle's angles will add up to 180°
Right off the bat, we can tell that ∠3 and ∠95° are going to be the same, because they're at a perpendicular intersection, which also means that ∠2 and ∠4 will be the same as well
Knowing the ∠3 = 95° means that ∠5 and ∠6 must add up to equal 85°, so that the whole of the triangle equals 180°
Considering that in the first quadrilateral we already have ∠90° and ∠144°, this means that ∠1 and ∠2 have to add up to 126°, to make an even 360° total
If ∠95° is supplementary to ∠2, this means ∠2 = 85°, and since ∠4 and ∠2 are the same, ∠4 also equals 85° - This leaves 41° left for ∠1, and now we can move on to the other quadrilateral
So since we know ∠4 = 85°, and we already have ∠38°, this means that ∠7 and the unmarked angle will add up to equal 237°, so that the entire shape has 360°
Since we know that ∠5 and ∠144° are supplementary, this means ∠5 is equal to 36°, which would make ∠6 = 39°
And lastly we have ∠7, which since ∠6 = 39° this means our unmarked supplementary angle must equal 141° - Now that means that ∠4 + ∠38° + ∠141° = 264° out of 360°, which leaves ∠7 to equal 96°
Of the 40 pencils in the box 30 of them don’t have an eraser what percent of the pencils do not have a eraser
Answer:
75%
Step-by-step explanation:
What is linear algebra.
Answer:
Linear algebra is flat differential geometry and serves in tangent spaces to manifolds.
Step-by-step explanation:
Linear algebra is the study of lines and planes, vector spaces and mappings that are required for linear transforms. It is a relatively young field of study, having initially been formalized in the 1800s in order to find unknowns in systems of linear equations.
Combined with calculus, linear algebra facilitates the solution of linear systems of differential equations. Techniques from linear algebra are also used in analytic geometry, engineering, physics, natural sciences, computer science, computer animation, and the social sciences (particularly in economics).
Shannon ran the race slower than Patti but faster than Phan. What might her time be?
Phan: 7.7
Daniel: 7.44
Patti: 7.1
Ida: 7.501
Maisha: 7.01
Ali: 7.941
Manuel: 7.332
Since she was slower than Patti but faster than Phan, the compound inequality that models her time t is:
[tex]7.1 < t < 7.7[/tex]
An inequality is said to be compounded if it includes two terms, for example:[tex]a < x < b[/tex]
Which has the following interpretation: x is more than a and x is less than b.In this problem:
Shannon is slower than Patti, hence her time is greater than 7.1.She is also faster than Phan, hence her time is less than 7.7.Then, the inequality is:
[tex]7.1 < t < 7.7[/tex]
A similar problem is given at https://brainly.com/question/24528399
A garden is in the shape of a square of length 353
m. Find it's (i)perimeter
and (ii) area.
Answer:
Step-by-step explanation:
Perimeter = P = 4a where a is each side of square
P = 4(353) = 1412
Area = a^2 where a is each side
A = (353)^2 = 124,609
can someone help me?!!! I need help!! ASAP
Answer:
x=4.6
Step-by-step explanation:
step 1 : calculate angle P since you know 2 angles
Step 2 : 57° - 90° = 180° [interior angles of a triangle ]
Step 3 : x/sin(33°) =7.1/sin(57°)
: x= 7.1Sin(33°)/sin(57°)
: x=4.6
Last year, prices increased due to inflation. This year inflation caused prices to go up again. After the second increase, the price for a certain item became 6 times the original. What was the percent increase of the second increase if the first increase was 50%?
The second percentage increase in price is 300%.
Inflation is when there is a persistent rise in the general price levels in an economy. Inflation leads to an increase in the prices of goods and services.
Let's assume that the price of an item is $100.
This year prices are 6 times the original price. This means that prices are $600 ($100 x6).
Increase in prices after the 50% increase = (1.5 x 100) = $150.
Percentage increase in price so that price is now $600 = $600 / $150 - 1 = 3 = 300%
A similar question was answered here: https://brainly.com/question/11839495
Answer:
300%
Step-by-step explanation:
what is the square root of 0.09 as a fraction
[tex]\\ \rm\bull\rightarrowtail 0.09[/tex]
[tex]\\ \rm\bull\rightarrowtail \dfrac{9}{100}[/tex]
Find square root
[tex]\\ \rm\bull\rightarrowtail \sqrt{\dfrac{9}{100}}[/tex]
[tex]\\ \rm\bull\rightarrowtail \dfrac{3}{10}[/tex]
[tex]\\ \rm\bull\rightarrowtail 0.3[/tex]
The solution of the square root of 0.09 as a fraction is,
⇒ 3 / 10
We have to given that,
To find value of the square root of 0.09 as a fraction.
Now, We can write it as,
⇒ √0.09
⇒ √9 / 100
⇒ √(3/10)²
⇒ 3/10
⇒ 0.3
Therefore, The solution of the square root of 0.09 as a fraction is,
⇒ 3 / 10
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How many grams are contained in 0.54 moles of calcium?
The number of grams present in 0.54 moles of calcium is; 22 g
We are given;
Number of moles; n = 0.54 moles
Now, Molar mass of calcium is;
M = 40.1 g
Formula for number of moles is;
n = m/M
Where;
n is number of moles
m is mass in grams
M is molar mass
Thus;
0.54 = m/40.1
m = 40.1 × 0.54
m = 21.654 g
Approximately m = 22 g
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Translate the sentence into an equation.
Twice the difference of a number and 8 equals 5.
Use the variable b for the unknown number.
Answer:
it's simple it means
2×b-8=5
Answer:
b = 10.5
Step-by-step explanation:
The difference of b and 8 is b - 8 and twice this difference is
2(b - 8) = 5 ← distribute parenthesis on left side
2b - 16 = 5 ( add 16 to both sides )
2b = 21 ( divide both sides by 2 )
b = 10.5
The unknown number b is 10.5