Colin invests £1200 into his bank account. He receives 3% per year simple interest. How much will Colin have after 4 years? Give your answer to the nearest penny where appropriate.
Answer:
1440
Step-by-step explanation:
Write an equation in slope-intercept form for the line with slope 4/3 and y-intercept -3. Then graph the line.
Answer:
y = 4/3x -3
Step-by-step explanation:
p is a degree 3 polynomial with p ( 0 ) = 22.08 and zeros 2 and 4 i . Find an equation for p with only real coefficients (i.e. no i in your equation).
Use x as your input, and round all answers to 2 decimal places as needed.
Answer:
P(x) = -0.69x³ + 2.76x² - 11.04x + 44.16Step-by-step explanation:
Let P(x) is the function with zero's 2 and 4i.
It has to have one more zero since it is of degree 3. This is a conjugate of 4i and is -4i.
The function has the shape of:
P(x) = a(x - 2)(x - 4i)(x + 4i)And we have P(0) = 22.08
Let's substitute and find the value of a:
22.08 = a(0 - 2)(0 - 4i)(0 + 4i)22.08 = a(-2)(-4i)(4i)22.08 = a(-2)(-16i²)22.08 = a(-32)a = - 22.08/32a = - 0.69The function is now:
P(x) = -0.69(x - 2)(x - 4i)(x + 4i)
= -0.69(x - 4)(x² + 16)
= -0.69(x³ - 4x² + 16x - 64)
= -0.69x³ + 2.76x² - 11.04x + 44.16
Hiroto spends \$68 on e-books and paperback books combined. Each e-book he buys costs $5 and each paperback book he buys costs $12. If Hiroto buys e-books and y paperback books which of the following equations best models the situation?
The equation that can be used to model the situation regarding the e-books and paperback is 5x + 12y = 68
The following information can be gotten from the question:
Total amount spent on e-books and paperback = $68
Cost of e-book = $5 each.
Cost of paperback = $12 each
Number of e-books = x
Number of paperbacks = y
Therefore, the equation that can be used to model the situation regarding the e-books and paperback will be:
= 5(x) + 12(y) = 68
5x + 12y = 68
The equation will be 5x + 12y = 68
Read related link on:
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PLease answer ASAP BRAINLEST!!1
Answer:
-7(2x-3y+.7)
Step-by-step explanation:
-14x+21y-4.9
Rewrite in terms of -7
-7 * 2x -7*-3y-7 *.7
Factor out -7
-7(2x-3y+.7)
{x: x belongs to N and (x-1)(x-2) = 0}, finite set or infinite set?
Explanation:
We have a set of x values such that (x-1)(x-2) = 0. Breaking that down leads to either x-1 = 0 or x-2 = 0 through the zero product property. Solving each of those equations gets us x = 1 and x = 2 as the two items in this set.
So the original set your teacher gave you turns into the roster form {1,2}. There are two items in this set and we can see it's a finite set since it does not go on forever. Note that everything in this set is a natural number.
Answer these questions pls
1. The constant in the equation is always zero.
Proportional or Non-proportional
2. Y=2x - 4
Proportional or Non-proportional
3.jimmy plans to save $20 every week
Proportional or Non-proportional
Answer:
1. Non-proportional
2. Proportional
3. Proportional
Find range of the real function
[tex]f = \left \{ \bigg(x, \: \dfrac{ {x}^{2} }{ {x}^{2} + 1} \bigg) : x \: \in \: R \right \}[/tex]
from R into R.
Step-by-step explanation:
[tex] \large\underline{\sf{Solution-}}[/tex]
Given function is
[tex]\rm \longmapsto\:f = \bigg(x, \: \dfrac{ {x}^{2} }{ {x}^{2} + 1} \bigg) : x \: \in \: R[/tex]
To find the range of the function f, Let assume that
[tex]\rm \longmapsto\:y = \dfrac{ {x}^{2} }{ {x}^{2} + 1} [/tex]
[tex]\rm \longmapsto\: {yx}^{2} + y = {x}^{2} [/tex]
[tex]\rm \longmapsto\: {yx}^{2} - {x}^{2} = - y[/tex]
[tex]\rm \longmapsto\: - {x}^{2} (1 - y) = - y[/tex]
[tex]\rm \longmapsto\: {x}^{2} (1 - y) = y[/tex]
[tex]\rm \longmapsto\: {x}^{2} = \dfrac{y}{1 - y} [/tex]
[tex]\rm\implies \:x = \sqrt{\dfrac{y}{1 - y} } [/tex]
For x to be defined,
[tex]\rm \longmapsto\:y \geqslant 0 \: \: and \: \: 1 - y > 0[/tex]
[tex]\rm \longmapsto\:y \geqslant 0 \: \: and \: \: - y > - 1[/tex]
[tex]\rm \longmapsto\:y \geqslant 0 \: \: and \: \: y < 1[/tex]
[tex]\bf\implies \:y \: \in \: [0, \: 1)[/tex]
Hence,
[tex]\bf\implies \:Range \: of \: f \: \in \: [0, \: 1)[/tex]
if M is a multiple of 3 and 7 then it is a multiple of 21
Answer:
It will be true , it is a multiple of 21
The diagram shows a plan for a wheelchair ramp in a shopping Mall. The distance AC is 4 m. calculate the distance AB when BC= 300cm
Answer:500 cm.
Step-by-step explanation:in the picture.
Please give me a brainliest
There are 28 students in a class. 13 of the students are boys. Two students from the class are chosen at random. a) If the first person chosen is a boy, what is the probability that the second chosen is also a boy? Answer in fraction
Using the probability concept, it is found that there is a [tex]\frac{4}{9}[/tex] probability that the second chosen is also a boy.
A probability is the number of desired outcomes divided by the number of total outcomes.In this problem, supposing that the first person chosen is a boy:
There will be 27 students.Of those, 12 are going to be boys.Hence:
[tex]p = \frac{12}{27} = \frac{4}{9}[/tex]
There is a [tex]\frac{4}{9}[/tex] probability that the second chosen is also a boy.
To learn more about the probability concept, you can take a look at https://brainly.com/question/25967684
I hope you can see my question, if you have a phone look at the top for my question. Thank you.
Answer: 10 7/8
Step-by-step explanation: 11 2/8 - 3/8 = 10 7/8
pls help. i will give brainliest!!!!!!
Answer:
the strong correlation
Mya says the value of 6 in 0.006 is 1-10 of the value of 6 in 0.6. Is the correct?
Answer:
no, it is incorrect it is 1-100 the value
Step-by-step explanation:
0.006×10= 0.06
0.006×100=0.6
Please solve with explanation
Answer:
The x coordinate of S is b.
Step-by-step explanation:
a)
The coordinates of Point Q are:
(2a+2b)/2, 2c/2
= [(a + b), c].
The slope of the line AB
= (0-2c)/(2b-2a)
= -c/(b-a)
So The slope of the line QS = (b - a) / c = (b - a)/c.
Its equation is
y - c = (b - a)/c ( x - (a+b))
y = (b - a)/c ( x - (a+b)) + c.
The coordinates of Point P are:
(2a+0)/2, 2(c+ 0)/2
= (a, c)
The slope of the line AO
= (2c)/2a
= c/a
So The slope of the line PS = -a/c
Its equation is
y - c = -a/c(x - a)
y = -a/c(x - a) + c
b)
So:
(b - a)/c ( x - (a+b)) + c
= -a/c(x - a) + c
(b - a)(x - a - b) + c^2 = -a(x - a) + c^2
(b - a)(x - a - b) = -a(x - a)
bx - ab - b^2 - ax + a^2 + ab = -ax + a^2
bx - ax + ax + a^2 - a^2 - ab + ab = b^2
bx = b^2
x = b = the x coordinate of S.
c). The point R has the same x coordinate as S So RS is perpendicular to OB.
x^3+10x^2+19x-30/x+6
Answer:
make it an equation
Step-by-step explanation:
It's not an equation.
what is the equivalent value 3/2×(−2)
Answer:
= -3
multiplying and dividing fractions
Answer:
-3
Step-by-step explanation:
3/2^(-2)=-3
Can someone please help me with this problem
Answer:
Both of them are correct.
Step-by-step explanation:
Both of them are correct.
EQ. 1) y = -2x + 3
EQ. 2) 6x + 3y = 9
Transform EQ. 2 into its slope-intercept form, y = mx + b:
6x + 3y = 9
6x - 6x + 3y = -6x + 9
3y = -6x + 9
3y/3 = (-6x + 9)/3
y = -2x + 3 (As you can see, Equation 2 is equivalent to Equation 1's).
Given that Equations 1 and 2 are equivalent, their lines will coincide on top of each other (as if they're the same line) once graphed.
Therefore, the systems of linear equations will have infinitely many solutions.
Let's see why Charles and Destiny are both correct with their claims.
If you plug in Charles' coordinates (3, -3) in both equations,
EQ. 1) y = -2x + 3
-3 = -2(3) + 3
-3 = -6 + 3
-3 = -3 (True statement)
EQ. 2) 6x + 3y = 9
6(3) + 3(-3) = 9
18 - 9 = 9
9 = 9 (True statement)
Do the same thing for Destiny's coordinates: (-1, 5)
EQ. 1) y = -2x + 3
5 = -2(-1) + 3
5 = 2 + 3
5 = 5 (True statement)
EQ. 2) 6x + 3y = 9
6(-1) + 3(5) = 9
-6 + 15 = 9
9 = 9 (True statement)
With these calculations, it shows that both of their coordinates are solutions to the given systems of linear equations.
you run 15 miles in 150 minutes your brother runs 30 miles in 300 minutes are the rates proportional?
Answer:
im not sure on how to answer that
Step-by-step explanation:
trying to figure it out
PLS HELP I GOTTA TURN THIS INNN
Answer:
Lauren
Step-by-step explanation:
1/2 is Erin
3/4 is Lauren
Answer:
1/2 for Eric and 6/8 for lauren
Eric: 1/2 = 4/8
Lauren: 6/8
Lauren was more succesful
Step-by-step explanation:
Write the missing exponent that makes the equation true: 4^t times 2^t = 2^what
4^t × 2^t = 2^what [convert all terms to the same base (2)]
∴ 2^t × 2^t × 2^t = 2^what [use the multiplicat law of exponents]
2^(t+t+t) = 2^what [simplify]
2^3t = 2^what
what = 3t
which of the binomials below is a factor of this trinomial?
x² + 2x - 35
Answer:
(x-5)(x+7)
Step-by-step explanation:
They're the factors of the trinomial x^2+2x-35
Please help I would be very grateful
please help asap!!
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Answer:
a. y = 2x + 1
b. 20
Step-by-step explanation:
a. With each increasing figure, two more blocks are added on. Through this, we can determine the rule:
y = 2x + 1
y being the total number of blocks in a figure
x being the number of the figure.
_________
b. To figure out which figure number has 41 squares, we can set the equation we found equal to 41.
41 = 2x + 1
40 = 2x
20 = x
So figure 20 will have 41 squares.
bob has some 10 lb weights and 3 lb weights. together, all his weights add up to 50 lb. if x represents the number of 10 lb weights, which equation can be used to find the number of each type of weight bob has ?
please someone explain to me how did we multiply the denominator in this
ok so what you wanna do is use multiplication
A car is traveling at a rate of 99 kilometers per hour. What is the car's rate in kilometers per minute? How many kilometers will the car travel in 15 minutes? Do not round your answers.
Answer:
it is going 1.65 kilometers per minute and it will travel 24.75 kilometers in 15 minutes
Step-by-step explanation:
A quality manager for a publishing company checks 3 of every 250 books printed for typos. At that rate, how many of every 15,000 books will be checked for typos?
Answer:
Print between 25 - 2,000 books. Your price per book will go down as your quantity increases.
Step-by-step explanation:
Find the slope of the y intercept of the graph linear equation 2x+y=7
2x+y=7
-2x -2x
y=-2x+7
slope of -2
Hope this is right, feel free to correct me in the comments
Answer:
-2
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