Answer:
$637.50
Step-by-step explanation:
P = $3000
t= 5years
r = 4.25% per annum
Interest = (p×r×t)/100
= (3000×4.25×5)/100
= $637.50
PLEASE ANSWER ASAP !!!!!
Answer:
y=6
x=-54
Step-by-step explanation:
count by 3
the count by 9
Answer:
y = 5x - 6
Step-by-step explanation:
The equation is in the form
y = mx + c ( m is the rate of change and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 6) and (x₂, y₂ ) = (3, 9) ← ordered pairs from the table
m = [tex]\frac{9+6}{3-0}[/tex] = [tex]\frac{15}{3}[/tex] = 5
The line crosses the y- axis at (0, - 6) ⇒ c = - 6
y = 5x - 6 ← linear equation
6m+72=144
Pleas hurry
Answer:
m=12
Step-by-step explanation:
6m+72=144
Subtract 72
6m=72
Divide 6
m=12
Micah, Grayson, Lane, Owen, and Blake decided to see which of their model race cars could be launched the farthest. Micah's car went 4.36 feet. Grayson's car went 4 5/10 feet. Lane's car went 4% feet. Owen's car went 4.3 feet. Blake's car went 4 21/100 feet Whose model car went the farthest?
Answer:
Grayson
Step-by-step explanation:
M-4.36
G-4.5
L-0.04
O-4.3
B-4.21
Pls give me the right answer
**Answer When You Can**
-Evaluate Function Expressions-
3.f(-4)-3.g(-2)=
Answer:
3•f(-4) - 3•g(-2) = -27Step-by-step explanation:
3•f(-4) - 3•g(-2) = (3 × -3) - (3 × 6) = -9 - 18 = -27
Help needed! Trying to get answer
Which statement explains why the polynomial cannot be factored using the binomial theorem?
125x3 + 900x2 – 2,160x + 1,728
The signs do not follow the right pattern.
The first and last terms are not perfect cubes.
The exponents on each term do not follow the pattern for a binomial expansion.
The middle terms do not take into account the coefficients from Pascal’s triangle.
Answer:
A
Step-by-step explanation:
The signs do not follow the right pattern.
The first and last terms are not perfect cubes explains why the polynomial cannot be factored using the binomial theorem
What is Polynomial?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables
The given polynomial is:
125x³ + 900x² – 2,160x + 1,728
To factor this polynomial using the binomial theorem, we would need to write it in the form (a + b)³
where a and b are expressions in x.
However, the given polynomial does not seem to fit this form, since the coefficients and exponents of the terms do not follow the pattern of the binomial expansion.
The first and last terms, 125x^3 and 1,728, are perfect cubes, but they do not have a common factor that can be factored out.
Therefore, we cannot write them in the form (a + b)³.
So, the correct answer is the first and last terms are not perfect cubes.
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Which ordered pair is a solution to the equation y= 6x - 2?
(1,0)
(5, 28)
(6, 20)
(3, 19)
Answer:
(5, 28)Step-by-step explanation:
y= 6x - 2Verifying pairs:
(1,0)
0 = 6*1 - 20 = 4 - incorrect(5, 28)
28 = 6*5 - 228 = 30 -228 = 28 - correct(6, 20)
20 = 6*6 - 220 = 36 - 220 = 34 - incorrect(3, 19)
19 = 6*3 - 219 = 18 - 219 = 16 - incorrectWhat direction and what type of dot would you graph the inequality x > -9?
A. Open to the left
B. Open to the right
C. Closed to the left
D. Closer to the right
Thank you!!!!
Answer:
B. Open to the right
Step-by-step explanation:
X cannot be -9 so the dot has to be open
X is greater than -9 so x can be anywhere from -8 to 1,999,999,999 or even greater
What is the value of x in the proportion
-3y-3x=-3
plz help me
Answer:
y = -x + 1
Step-by-step explanation:
-3y - 3x = -3
Add 3x
-3y = 3x - 3
Divide by -3
y = -x + 1
WILL GIVE BRAINLEST FOR THE FIRST AND CORRECT ANSWER!!!!!!!!!! PLEASE ANSWER ASAP!!!!!
The equation y = 1.5x represents the number of cups of dried fruit, y, needed to make x pounds of granola. Determine whether (1.5, 1) is a point on the graph of this proportional relationship.
A. yes
B.no
Answer:
yes... PERIODT
Step-by-step explanation: i promise you its yes
Answer:
Yes
Step-by-step explanation:
What is the distance between Point K and Point L?
Answer:
( 7, 2 )
Step-by-step explanation:
I hope this helps you!
Factor:
125x^3-27
A) (5x + 3) (25x^2 - 15x + 9)
B) (5x + 3) (5x^2 - 15x + 9)
C) (5x - 3) (5x^2 - 15x + 9)
D) (5x - 3) (25x^2+ 15x + 9)
Answer:
D) (5x - 3) (25x^2+ 15x + 9)
Step-by-step explanation:
[tex]125 {x}^{3} - 27 \\ \\ = ( {5x)}^{3} - {(3)}^{3} \\ \\ = (5x - 3) \{(5x) ^{2} + 5x \times 3 + ( {3})^{2} \}\\ \\ = (5x - 3) \{25 {x}^{2} + 15x + 9\}[/tex]
The table below shows the cost of downloading songs from a website. Number of Songs Total Cost 8 $2.08 10 $2.60 14 $3.64 What is the constant of proportionality between the total cost and the number of songs? Answer: $ per song
Answer:
.26 per song
Step-by-step explanation:
Juan starts a new coffee shop. The table shows the coffee sales at his shop for the first 5 days. What is the average rate of change per day between the 2nd and 5th day?
Answer:
Average rate of change from day 2 to day 5 is $43.33/day.
Step-by-step explanation:
Sales on day 2 = 200
Sales on day 5 = 330
Rate of change = [tex]\frac{330-200}{5-2} =\frac{130}{3}=43.33[/tex]
What is the slope of a line that connects points (5,8) and (10,12)
Answer:
4/5
Step-by-step explanation:
8-12 = -4
5-10 = -5
4/5
halp again sorry:<<<<<<
Answer:
The one in the middle goes first the one first goes to the middle the last one stays there
TRIANGLE CONGRUENCE, HONORS GEOMETRY
Divide. Write your answer as a fraction or mixed number in simplest form.
9 1/6 divided by 5
Answer:
Answer = 3 1/30
Step-by-step explanation:
91/6 x 1/5 = 91/30
divide = 3 1/30
In the form of mixed number we can write the statement as - [tex]$1\frac{5}{6}[/tex].
We have [tex]9\frac{1}{6}[/tex] divided by 5.
We have to write the answer as fraction in mixed form.
What is a Mixed Number?A number consisting of an integer and a proper fraction is called a Mixed Number.
According to the question, we have - [tex]9\frac{1}{6}[/tex] divided by 5
Let A = [tex]9\frac{1}{6}[/tex] divided by 5.
Now -
A = [tex]9\frac{1}{6}[/tex] divided by 5
A = [tex]\frac{55}{6}[/tex] ÷ 5
A = [tex]$\frac{\frac{55}{6} }{5}[/tex]= [tex]\frac{11}{6}[/tex] = [tex]$1\frac{5}{6}[/tex]
Hence, in the form of mixed number we can write the statement as - [tex]$1\frac{5}{6}[/tex].
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What’s the missing number in the table?
Answer:
3
Step-by-step explanation:
slope = increase in y divided by increase in x
increase in y = +10
increase in x = +2
slope = 5 (y increases by 5 every time x increases by 1)
x: 1 -> 2
y: -2 -> 3
A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below: Based on these results, express the probability that the next spin will land on blue as a decimal to the nearest hundredth.
Answer:
The probability that the next spin will land on blue is 0.12.
Step-by-step explanation:
The result of the several spins are as follows:
Color Frequency
Red 18
Blue 9
Green 18
Yellow 19
Purple 12
TOTAL 76
Compute the probability that the next spin will land on blue as follows:
[tex]P(Blue)=\frac{n(Blue)}{N}\\\\=\frac{9}{76}\\\\=0.1184211\\\\\approx 0.12[/tex]
Thus, the probability that the next spin will land on blue is 0.12.
The probability that the next spin will land on blue as a decimal to the nearest hundredth is 0.12 and this can be determined by using the given data.
Given :
A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple.
The spinner is spun several times, and the results are recorded below:
Colour Frequency
Red 18
Blue 9
Green 18
Yellow 19
Purple 12
So, the total frequency is = 18 + 9 + 18 + 19 + 12
= 76
Based on the above given results, the probability that the next spin will land on blue is given by:
[tex]\rm P = \dfrac{n}{N}[/tex]
[tex]\rm P = \dfrac{9}{76}[/tex]
P = 0.1184
P [tex]\approx[/tex] 0.12
So, the probability that the next spin will land on blue as a decimal to the nearest hundredth is 0.12.
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The store at which Andy usually shops is having a sale. Roast beef costs $4 per pound and shrimp costs $10 per pound.
Let x = pounds of roast beef and y = pounds of shrimp
Write an inequality to represent the different possible combinations that Andy can buy if he has $96.
What is one possible combination of roast beef and shrimp that Andy can buy?
Answer:
Part 1;
10y + 4x ≤ 96
Part 2;
y = 8
x = 4
Step-by-step explanation:
1 - Write an equation
Let z equal the total price
10y + 4x = z
2 - Use that to answer the questions
"Write an inequality to represent the different possible combinations that Andy can buy if he has $96."
If Andy has $96 that means the amount the two add up two can equal 96 or be less than 96 however not any more. That means 10y + 4x must be less than or equal to 96. This is written as follows
10y + 4x ≤ 96
With this in mind we can answer the following question of what is one possible combination. To do this, lets assume
10y + 4x must equal 96
Lets make 96 divisible by 10 using our pounds of roast beef.
To do this we need to get rid of the 6; which we can do so by turning 4x into 16. 4 goes into 16 4 times.
Therefore;
10y + 4x = 96
10y + 4(4) = 96
10y + 16 = 96
- 16 - 16
10y= 80
Divide both sides by 10
y = 8
And our x when y = 8 was 4
so
x = 4
Ivy is trying to manage the money she spends on lunch. Between eating out and buying groceries for bagged lunches, she wants to keep her weekly budget to less than $50. She decides that she wants to spend at least twice as much on bagged lunches as at restaurants. What are the monetary choices for Ivy’s lunches?
Answer:
The monetary choices for Ivy’s lunches is to spend less than $16.67 at restaurants and to spend less than $33.33 on groceries in order to to keep her weekly budget to less than $50.
Step-by-step explanation:
This can be determined as follows
x = the amount of dollars spent at restaurants
y = the amount of dollars spent on groceries
Since Ivy decides that she wants to spend at least twice as much on bagged lunches as at restaurants, we have
y = 2x .................. (1)
Since Ivy wants to keep her weekly budget to less than $50, using the x and y, we have:
x + 2x < 50 ............................ (2)
We can now solve for x as follows:
3x + < 50
x < 50 / 3
x < 16.67
Substituting the x < 17 into equation (1) noting that Ivy wants to keep her weekly budget to less than $50, we have:
y < 2 * 16.67
y < 33.33
Therefore, the monetary choices for Ivy’s lunches is to spend less than $16.67 at restaurants and to spend less than $33.33 on groceries in order to to keep her weekly budget to less than $50.
2)
Which TWO define the same sequence?
A)
f(x) = 7x – 15 for x = {1, 2, 3, ...}
B)
f(x) = 7x – 22 for x = {1, 2, 3, ...}
f(x) = 7x - 29 for x = {1, 2, 3, ...}
D)
a1 = -22 and an + 1 = a + 7 for n = {1, 2, 3, ...}
E)
a1 = -29 and an + 1 = a + 7 for n = {1, 2, 3, ...}
9514 1404 393
Answer:
C, D
Step-by-step explanation:
It can work to see what sequence each defines:
A) -8, -1, 6, ...
B) -15, -8, -1, ...
C) -22, -15, -8, ...
D) -22, -15, -8, ... . . . . matches C
E) -29, -22, -15, ...
The two that define the same sequence are ...
C) f(x) = 7x -29
D) a1 = -22, a(n+1) = an +7
path is made of white tiles and grey tiles.
1/4 of the tiles are white.
(a) Write down the ratio of white
Answer: 1 : 3
Step-by-step explanation:
¹/₄ of the tiles are white. To find the ratio, assume the tiles are 4 in number.
If there are 4 tiles;
White = ¹/₄ * 4 = 1 white tile
Grey tiles = 4 - 1 = 3 grey tiles
The ratio is therefore;
1 white tile : 3 grey tiles
1 : 3
just to say thanks that was the correct answer and i got all correct so thank you so much you are the best
Find the slope of the line graphed below.
Type your answer as a fraction using the / if necessary.
Answer:
-3/22
Step-by-step explanation:
At a summer camp, 6-year-olds are in Group A, 7-year-olds are in Group B, and 8-year-olds are in Group C. Is the group assignment a function of age? If so, is the function one-to-one or many-to-one?
Answer:
yes!!!
Step-by-step explanation:
Answer:
A.Yes;many-to-one
Step-by-step explanation:
when (x+2)^6 is written as a polynomial, what is the coefficient of the term containing x^4
a-15
b-60
c-120
d-6
Answer:
c-120
Step-by-step explanation:
When (x+2)⁶ is written as a polynomial, the coefficient of the term x⁴ is 60.
How to expand an expression to form a polynomial?We have to expand (x+2)⁶ to form a polynomial.
A polynomial can have constants, variables and exponents, but never division by a variable.
Therefore, using pascal triangle, the appropriate row is 1 6 15 20 15 6 1.
Hence,
Substituting the appropriate powers of x and 2 gives 1x⁶2⁰ + 6x⁵2¹ + 15x⁴2² + 20x³2³ + 15x²2⁴ + 6x¹2⁵ + 1x⁰2⁶.
Finally,
x⁶ + 12x⁵ + 60x⁴ + 160x³ + 240x² + 192x + 64
Therefore, the coefficient of x⁴ is 60.
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help find the degree
Answer:
The given question requirement is to find the the measure of the minor arc [tex]m\widehat{AB}[/tex]
An arc is said to be minor when represented as [tex]m\widehat{AB}[/tex] and an arc is termed a major arc, when it presented as [tex]m\widehat{ACB}[/tex]
From the given diagram, the measure of the minor arc [tex]m\widehat{AB}[/tex] is given as the measure of the angle, m∠CAB which is equal to 38°
Therefore, the measure of the minor arc [tex]m\widehat{AB}[/tex] = m∠CAB = 38°
The measure of the minor arc [tex]m\widehat{AB}[/tex] is 38°
Step-by-step explanation: