Answer:
Step-by-step explanation:
Needs $500 Makes 7.50 and works 10 hours week.
7.50*10= $75.00 a week
500/75= 6.6 weeks or 6 weeks and 2/3 of a week. I'd round to 7 weeks.
75(x)=500 X= weeks needed.
75x=500 if you divide 500 by 75
x=20/3 or 6.6
Madison was driving at 60 mph and traveled a distance of 242 miles to get to Grandfather Mountain. About how long did it take her to get there?
Answer:
About 4 Hours
Step-by-step explanation:
60 X 4 = 240
You have 2 extra miles so it would be a little extra time.
You deposit $5000 in an account earning 8% interest compounded monthly. How much will you have in the account in 5 years?
Answer:
A = $ 7,449.23
A = P + I where
P (principal) = $ 5,000.00
I (interest) = $ 2,449.23
Step-by-step explanation:
Compound Interest Equation
A = P(1 + r/n)^nt
Where:
A = Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
R = Annual Nominal Interest Rate in percent
r = Annual Nominal Interest Rate as a decimal
r = R/100
t = Time Involved in years, 0.5 years is calculated as 6 months, etc.
n = number of compounding periods per unit t; at the END of each period
Compound Interest Formulas and Calculations:
Calculate Accrued Amount (Principal + Interest)
A = P(1 + r/n)^nt
Calculate Principal Amount, solve for P
P = A / (1 + r/n)^nt
Calculate rate of interest in decimal, solve for r
r = n[(A/P)(^1/nt) - 1]
Calculate rate of interest in percent
R = r * 100
Calculate time, solve for t
t = ln(A/P) / n[ln(1 + r/n)] = [ ln(A) - ln(P) ] / n[ln(1 + r/n)]
Formulas where n = 1 (compounded once per period or unit t)
Calculate Accrued Amount (Principal + Interest)
A = P(1 + r)^t
Calculate Principal Amount, solve for P
P = A / (1 + r)^t
Calculate rate of interest in decimal, solve for r
r = (A/P)1/t - 1
Calculate rate of interest in percent
R = r * 100
Calculate time, solve for t
t = t = ln(A/P) / ln(1 + r) = [ ln(A) - ln(P) ] / ln(1 + r)
Continuous Compounding Formulas (n → ∞)
Calculate Accrued Amount (Principal + Interest)
A = Pe^rt
Calculate Principal Amount, solve for P
P = A / ert
Calculate rate of interest in decimal, solve for r
r = ln(A/P) / t
Calculate rate of interest in percent
R = r * 100
Calculate time, solve for t
t = ln(A/P) / r
You spend $23 to spend on 4 avocados. After buying them you had $11. How much did each avocado cost? Write an equation about this.
Answer: Each avocado cost $3
Equation: 23 - 4x = 11
Answer:
$3 per avocados
Step-by-step explanation:
23-11= 12. 12 divided by 4 = 3
Which set of transformations is needed to graph f(x) = -0.1cos(x) - 4 from the parent cosine function?
reflection across the y-axis, vertical compression by a factor of 0.1, vertical translation 4 units up
reflection across the x-axis, vertical compression by a factor of 0.1, vertical translation 4 units down
vertical stretching by a factor of 0.1, vertical translation 4 units down, reflection across the y-axis
vertical stretching by a factor of 0.1, vertical translation 4 units up, reflection across the x-axis
Answer:
The correct option is;
Reflection across the x-axis, vertical compression by a factor of 0.1, vertical translation 4 units down
Step-by-step explanation:
The given function is f(x) = -0.1·cos(x) - 4
The parent cosine function is cos(x)
Therefore, f(x) = -0.1·cos(x) - 4 can be obtained from the parent cosine function as follows;
The negative sign in the function gives a reflection across the x-axis
The 0.1 factor of the cosine function gives a compression of 0.1
The constant -4, gives a vertical translation 4 units down
Therefore, the correct option is a reflection across the x-axis, vertical compression by a factor of 0.1, vertical translation 4 units down.
Answer:
✔ vertical compression by a factor of 0.5
reflection across the y-axis
✔ vertical translation 3 units down
vertical stretch by a factor of 0.5
✔ reflection across the x-axis
vertical translation 3 units up
vertical translation 0.5 units down
or A.), B.), and D.)
The function rule y = –0.5cos(x) – 3 describes graph
✔ c shown.
What’s the answer for 5x + 12
6x
Answer:
8
Step-by-step explanation:
21x+12=180
21x= 168
x=8
Step-by-step explanation:
Both the angles added together create 180 degrees so,
15x+12+6x = 180
21x+12=180
21x=168
x=8
A select soccer team had tryouts for the upcoming season. The team typically has 25% of the players in the tryouts process come back for a second evaluation. If the team asked 17 players back for a second evaluation, how many players showed up for the first tryout
Given:
The team typically has 25% of the players in the tryouts process come back for a second evaluation.
The team asked 17 players back for a second evaluation.
To find:
The players showed up for the first tryout.
Solution:
Let x be the number of players showed up for the first tryout.
According to the question,
[tex]25\%\text{ of } x=17[/tex]
[tex]\dfrac{25}{100}x=17[/tex]
[tex]\dfrac{1}{4}x=17[/tex]
Multiply both sides by 4.
[tex]x=17\times 4[/tex]
[tex]x=68[/tex]
Therefore, 68 layers showed up for the first tryout.
Answer:
68
Step-by-step explanation:
Ms. Baker makes 9 out of 10 free throws. Mrs. S. Brown makes 10 out out of every 12 free
throws. Who is better at making free throws?
Answer:
ms baker
Step-by-step explanation:
9/10 = 90%
10/12= 83
Answer:
Ms.Baker
Step-by-step explanation:
9/10 > 10/12 or 0.9 > 0.833333. Next time try to make equivalent fractions with the same denominator or convert to decimal then compare.
Can Somebody Help With Geometry?
Answer:
SAS
Step-by-step explanation:
II side (given)
Angles between the congruent sides (vertically opposite angle)
III side (given)
Hence by, SAS the Triangles are congruent.
Describe sets of two or more matching integer cards that satisfy the criteria in each part below:
Removing cards that increase the score by 10 points
What is the equation of the line that has a slope of 0 and passes through the point (4, −3)?
Answer:
7
Step-by-step explanation:
Answer:
y=-3
y=3/4x +0
Step-by-step explanation:
I NEED THIS FAST!
You have two fractions with denominators of 3 and 10. What number should you use as the least common denominator if you want to add them?
9514 1404 393
Answer:
30
Step-by-step explanation:
The least common denominator is the least common multiple of the denominators.
Here, the given denominators, 3 and 10, have no common factors, so their least common multiple is simply their product:
LCD = 3×10 = 30
The least common denominator is 30.
__
If the denominator numbers have a common factor, then their least common multiple is their product divided by their greatest common factor.
Help me PLEASE ixlllll
Answer to this please?
Answer:
D) 117
Step-by-step explanation:
All angles of a triangle will always add up to 180 degrees. Thus, 22 + 41 = 63, 180 - 63 = 117.
Complete the steps to identify all potential rational roots of f(x) = 3x2 – x – 4.
Values of p are factors of
.
Values of q are factors of
.
Answer:
-4, 3
The answer to the next question is: A (+4/3), B (+2/3), D (+2), E (+4), G (+1/3), H (+1)
Step-by-step explanation:
For edge:)
Rational root theorem is used to determine the potential roots of a function
The potential roots are: [tex]\mathbf{ \pm 1, \pm 2, \pm 4, \pm \frac{1}{3} ,\pm \frac{2}{3}, \frac{4}{3}}[/tex]
The function is given as:
[tex]\mathbf{f(x) = 3x^2 - x - 4}[/tex]
p represents the leading coefficient, while q represents the constant term.
So, we have:
[tex]\mathbf{p = 3}[/tex]
[tex]\mathbf{q = 4}[/tex]
The factors of p and q, are:
[tex]\mathbf{p =\pm 1, \pm 3}[/tex]
[tex]\mathbf{q =\pm 1, \pm 2, \pm 4}[/tex]
So, the potential roots are:
[tex]\mathbf{Roots = \pm\frac{q}{p}}[/tex]
[tex]\mathbf{Roots = \pm\frac{\pm 1, \pm 2, \pm 4}{\pm 1, \pm 3}}[/tex]
So, we have:
[tex]\mathbf{Roots = \pm 1, \pm 2, \pm 4, \pm \frac{1}{3} ,\pm \frac{2}{3}, \frac{4}{3}}[/tex]
Hence, the potential roots are: [tex]\mathbf{ \pm 1, \pm 2, \pm 4, \pm \frac{1}{3} ,\pm \frac{2}{3}, \frac{4}{3}}[/tex]
Read more about rational root theorems at:
https://brainly.com/question/9353378
Find the slope of a line perpendicular to each given line.
y = 1/4x - 4
please help asap it’s timed
Write the slope intercept form of a line that passes through the given two points (-5,-11) (-2,1)
Answer: y=4x+9
Step-by-step explanation:
M= 1+11/-2+5= 12/3= 4
y=mx+b
1=4(-2)+b
1=-8+b
b=9
y=4x+9
What is the slope of a line parallel to the line whose equation is 9x + 3y = -27.
Fully reduce your answer.
Answer:
The slope is -3
Step-by-step explanation:
y=-3x-9
Marcus buys a pair that cost $35.99 plus 5.5% tax. Tai buys a pair of shoes that cost $ 39.99 plus 9% tax. Tai uses a coupon off her purchase. What is the difference in the total cost to the nearest cent that Marcus and Tai pay for their shoes?
Answer:
The difference is $5.62
Step-by-step explanation:
The total cost Marcus will pay is
35.99 + 5.5% of 35.99
= 35.99 + 0.055(35.99) = 35.99 + 1.97945 = 37.96945
The total cost Tai will pay is;
39.99 + 9% of 39.99
= 39.99 + 0.09(39.99) = 43.5891
The difference between the total costs will be;
43.5891 - 37.96945 = 5.61965
To the nearest cent, this is 5.62
Multiply the polynomial x (3x-1)(2x+5) also what is the degree of the polynomial
Answer:
Result after multiplication of polynomial is: [tex]6x^3+13x^2-5x[/tex]
Degree of polynomial = 3
Step-by-step explanation:
The given polynomials are:
[tex]x(3x-1)(2x+5)[/tex]
In order to multiply the given polynomials we have to work step by step. First of all the polynomials in the bracket will be multiplied and then their result will be multiplied with x.
So, multiplying the polynomials in round brackets first
[tex]=x(3x-1)(2x+5)\\= x\{3x(2x+5)-1(2x+5)\}\\=x\{6x^2+15x-2x-5\}\\=x(6x^2+13x-5)[/tex]
Now multiplying with x
[tex]= 6x^3+13x^2-5x[/tex]
Degree of a polynomial is the highest exponent of variable in the polynomial.
In the acquired result, the highest exponent of x is 3 so the degree is 3.
Hence,
Result after multiplication of polynomial is: [tex]6x^3+13x^2-5x[/tex]
Degree of polynomial = 3
PLEASE HELPPPPP MEEE♥️♥️♥️♥️
Answer:
[tex](.2246 \\ 5513[/tex]
What is the first step in solving this equation?
3(2x+6) -4 = 2(5x-2) +6
Answer:
Distrubutative property
Step-by-step explanation:
A 30-m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 32 m. Find the length of the shadow. If necessary, round your answer to the nearest tenth.
Answer: 11.1 m
Step-by-step explanation:
This can be solved by the Pythagorean theorem where;
c² = a² + b²
c is the hypotenuse which is the distance from the top of the building to the tip of the shadow.
a is the height
c is the length
32² = 30² + b²
b² = 32² - 30²
b² = 1,024 - 900
b² = 124
b = √124
b = 11.1 m
solve: [S=$75+$150m]
Answer:
Step-by-step explanation:
$ = $75 + $150m
$ = $75 = $150,000,000 ($150m is equal to $150 million)
$ = $150,000,075 (adding $150,000,000 and $75)
Please solve for y P=2x+2y+4
Answer:
Step-by-step explanation:
P=2x+2y+4
y=p/2-x-2
The equation can represent as y = P/2 - x - 2 after solving for y if the equation is P = 2x + 2y + 4.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Solve for y P=2x+2y+4
From the data given in the question:
The linear equation is:
P=2x+2y+4
To solve for make the subject as y:
2y = P - 2x - 4
y = (1/2)[P - 2x - 4]
Or
y = P/2 - x - 2
Thus, the equation can represent as y = P/2 - x - 2 after solving for y if the equation is P = 2x + 2y + 4.
Learn more about the linear equation here:
brainly.com/question/11897796
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wich linear function has the same slope as tge one thatis reperswnted by the table?
Answer:
Answer: B
Step-by-step explanation: y=-1/5x+1/10
A point is rotated 270° about the origin. The image of the point is (-11,7). What are the coordinates of the preimage?
Choose the correct answer below.
O A. (11)
B. (7. - 11)
O C. (11,7)
OD. (-7, -11)
PLEASE HURRY
Answer:
The correct answer is C(11,7)
Step-by-step explanation:
I had this question and got it right lol
The required coordinates of the preimage are (-7, 11) when the point is rotated 270° about the origin.
What is a transformation?A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.
We have been given that a point is rotated 270° about the origin. The image of the point is (-11,7).
The coordinates of the preimage would be :
x = x cos θ + y sin θ
y = x sin θ + y cos θ
Here x = -11 ,y = 7 and θ = 270°
Substitute the values in the above equations,
x = (-11) cos 270° + 7 sin 270° = -7
y = (-11) sin 270° + 7 cos 270° = 11
Therefore, the required coordinates of the preimage are (-7, 11).
To learn more about the transformations click here :
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Tom's recipe requires 8 cups of sugar to make 40 sugar cookies. How many
sugar cookies will 120 cups of sugar make? *
(please i need help)
Tiya flipped a coin 40 times. The coin landed heads up 16 times and tails up 24 times.
Part A: Based on the results, what is the experimental probability of the coin landing heads up? Show your work. (5 points)
Part B: What is the theoretical probability of the coin landing heads up? Show your work
Answer:
A) 16/40
B) P(H)= 0.4
Step-by-step explanation:
A) 16+24=40 is your denominator.
16 times it landed heads up, so 16/40
B) 16/40 as decimal (16 divided by 40) = 0.4
P= probability
(h)= (Heads up)
Arrange each set of real numbers in increasing order.
please help me
In 1927, Charles Lindburgh had his first solo flight across the Antlantic Ocean. He flew 3,610 miles in 33.5 hours. If he flew about the same number of miles each hour, how many miles did he fly each hour?
Answer:
107.76
Step-by-step explanation:
We are told in the above question that:
He flew 3,610 miles in 33.5 hours. If he flew about the same number of miles each hour, how many miles did he fly each hour?
We solve the above question by:
33.5 hours = 3610 miles
1 hour = x miles
Cross Multiply
33.5 hours × x miles = 3610 miles × 1 hour
x miles = 3610 miles × 1 hour/33.5 hours
x miles = 107.76119403 miles
Approximately = 107.76 miles per hour
Therefore, he flew 107.76 miles each hour