Answer:
You drew a square
Answer:
It's a kite, I was on the edpuzzle.
Dan’s aquarium holds 6 quartz of water more than Steven’s aquarium. Dan’s aquarium holds 7 gallons. How much does Steve’s aquarium hold?
A certificate of deposit has $10,000.00 and the bank pays 2.89% interest compounded monthly. After 5 years, what is the account balance?
Final Answer:
After 5 years, the account balance would be approximately $11,541.20.
Explanation:
To calculate the account balance for a certificate of deposit that has an initial amount of $10,000.00, with an annual interest rate of 2.89% compounded monthly over 5 years, we must use the compound interest formula:
[tex]\[ A = P \left(1 + \frac{r}{n}\right)^{nt} \][/tex]
where:
- A is the amount of money accumulated after t years, including interest.
- P is the principal amount, which is the initial amount of money ($10,000.00 in this case).
- r is the annual interest rate in decimal form (2.89% or 0.0289 in this case).
- n is the number of times that interest is compounded per year (12 times per year for monthly compounding).
- t is the time the money is invested for, in years (5 years in this case).
Firstly, we convert the annual interest rate from a percentage to a decimal by dividing by 100:
r = 2.89% = 0.0289
Now we substitute the given values into the formula:
[tex]\[ A = \$10,000.00 \left(1 + \frac{0.0289}{12}\right)^{12 \cdot 5} \][/tex]
We calculate the rate per period by dividing the annual interest rate by the number of compounding periods per year:
[tex]\[ \frac{0.0289}{12} = 0.00240833 \][/tex] (rounded to 8 decimal places for precision)
Now calculate the growth factor:
[tex]\[ \left(1 + \frac{0.0289}{12}\right) = 1 + 0.00240833 = 1.00240833 \][/tex]
This growth factor is raised to the power of 60 (since there are 12 months in a year and we are compounding for 5 years):
[tex]\[ (1.00240833)^{60} \][/tex]
Using a calculator, raise 1.00240833 to the power of 60 to get approximately:
[tex]\[ 1.00240833^{60} \approx 1.15412 \][/tex](rounded to 5 decimal places for simplicity)
Finally, multiply this result by the principal amount to find the accumulated amount:
[tex]\[ A = \$10,000.00 \times 1.15412 \approx \$11,541.20 \][/tex]
Therefore, after 5 years, the account balance would be approximately $11,541.20.
What is the effect on the graph of the function f(x) = 2x when f(x) is replaced with f(x + 5)? A) translate vertically 5 units up B) translate vertically 5 units down C) translate horizontally 5 units left D) translate horizontally 5 units right
Answer:
C) translate horizontally 5 units left
Step-by-step explanation:
f(x + 5)
Is a change in domain
The graph of f(x) is shifted 5 units towards the left to obtain the graph of f(x+5)
Answer:
C
Step-by-step explanation:
When we only change the x part of the function (that is, we add, subtract, multiply, or divide something in relation to the x part of f(x)), that is called a horizontal transformation. When we change the entire function, that's a vertical transformation.
In this case, because we are only changing the x (we turn f(x) into f(x + 5)), this is a horizontal transformation. One thing to note about horizontal transformations is that they are "backwards", which means that if we add to the x, we actually move the graph in the negative direction (which is to the left), whereas if we subtract from x, we move the graph in the positive direction (which is to the right).
Here, we're adding 5 to x, which we know means that we are translating the graph of f(x) horizontally to the left 5 units.
Thus, the answer is C.
Hope this helps!
PLEASE HELP REALLY EASY!!!!!!!!!!!!
The equation, y=−16x^2+32x+64, represents the height, in feet, of a firework x seconds after it is launched.
What is the maximum height of the firework?
Answer:
(1,80)
Step-by-step explanation:
hope i am being a good help
Which of the following points lies on the graph of this equation?
A) (-3,2)
B) (3,5)
C) (3,3)
D) (6,8)
Answer:
C(3,3)
Step-by-step explanation:
If the surgeon and the pharmacist each worked 30 years, how much more money does the surgeon make in lifetime income?
Answer:
3,467,700 excluding years studying
Step-by-step explanation:
Every year the Surgeon makes $115,590 more than the Pharmacist (230,540-114,950)
$115,590 * 30 = $3,467,700
The surgeon makes $9,900,000 more in lifetime income than the pharmacist over a working period of 30 years.
To answer the question about how much more money a surgeon makes in lifetime income compared to a pharmacist, we first need to understand the potential earnings of both professions over a 30-year working period.
Step 1: Define Earnings for Each Profession
Let's assume:
The surgeon earns an average of $450,000 per year.The pharmacist earns an average of $120,000 per year.Step 2: Calculate Lifetime Income
For the Surgeon:
Lifetime income = Annual salary × Number of years workedLifetime income = $450,000 × 30 = $13,500,000For the Pharmacist:
Lifetime income = Annual salary × Number of years workedLifetime income = $120,000 × 30 = $3,600,000Step 3: Calculate the Difference in Lifetime Income
To find out how much more the surgeon makes compared to the pharmacist, we subtract the pharmacist's total income from the surgeon's total income:
Difference = Surgeon’s income - Pharmacist’s incomeDifference = $13,500,000 - $3,600,000 = $9,900,000Conclusion
In conclusion, the surgeon makes $9,900,000 more in lifetime income than the pharmacist over a working period of 30 years.
State the type of trinomial, and factor: y2 + 8y + 16.
A. regular trinomial; (y + 2)(y + 8)
B. regular trinomial; (y – 2)(y – 8)
C. perfect square trinomial; (y + 4)2
D. perfect square trinomial; (y + 8)2
Answer: Option C
We will factor 16 so that the sum of the factors is 8.
Such factors are 4 and 4.
So the factorization of the given expression is:
[tex]y^2+8y+16\\=y^2+4y+4y+16\\=y(y+4)+4(y+4)\\=(y+4)(y+4)\\=(y+4)^2[/tex]
So the given trinomial is a perfect square trinomial.
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Question in Image. Thanks!
Latisha determined the approximate amount of time each student in her homeroom class spent outside on a sunny day and on a rainy day. The dot plots below show her results.
Sunny Day
A dot plot titled Sunny Day. A number line going from 35 to 90 is labeled Minutes Spent Outside. There are 0 dots above 35, 1 above 40, 2 above 45, 2 above 50, 3 above 55, 2 above 60, 2 above 65, 2 above 70, 1 above 75, and 0 above 80 and 90.
Cloudy Day
A dot plot titled Cloudy Day. A number line going from 35 to 90 is labeled Minutes Spent Outside. There is 1 dot above 35, 4 above 40, 5 above 45, 3 above 50, 2 above 55, and 0 above 60, 65, 70, 75, 80, and 90.
Which measures of center and variability can be used to most accurately compare the two data sets?
mean and MAD
mean and IQR
median and MAD
median and IQR
Answer:
THE ANSWER IS A. I HAD THE SAME QUESTION
Step-by-step explanation:
Answer:
I think its A
Step-by-step explanation:
Please help me I’m lost
Answer:
look it up on google if you havent tried already. also it doesn't hurt to ask for help from someone you know.
Step-by-step explanation:
what is the slope of y= -1+3x
Step-by-step explanation:
Slope of this equation is 3
Answer:
Slope = 3
Step-by-step explanation:
[tex]y = - 1 + 3x \\ y = 3x - 1 \\ equating \: it \: with \\ y = mx + b \\ \huge \red{ \boxed{slope \: (m) = 3 }}\\ [/tex]
Raj was asked to fully simplify this polynomial and put it into standard form.
2x+y + 8x? – xy2 - 2x + 3xy2 + 6y?
Raj simplified the polynomial with a final term of 6y. What is the first term of the polynomial Raj ended up with?
6x?
Box
2xy?
Answer: 16y- 2xy
Step-by-step explanation:
11. A box of apples has a mass of 17.5 kg.)
A box of pears has a mass of 15.5 kg.
a) Write an algebraic expression for the
total mass of a boxes of apples and
p boxes of pears.
b) Use your expression to determine the
total mass of a shipment of 32 boxes of
apples and 41 boxes of pears.
a) 17.5a + 15.5p = t
b) Total mass of the shipment is 1195.5kg
Step-by-step explanation:
Mass of 1 box of apple= 17.5kg
Mass of 1 box of pears = 15.5kg
a) expression for getting total mass:
Let the no. of boxes of apple be 'a'
Let the no. of boxes of pears be 'p'
Let the total mass be 't'
17.5a + 15.5p = t
b) a = 32
p = 41
17.5a + 15.5p = t
17.5(32) + 15.5(41) = t
560 + 635.5 =t
1195.5 = t
Total mass of the shipment is 1195.5kg
324.8 rounded to the nearest ten
Answer:
Step-by-step explanation:
so you take the eight and round it so then it makes a zero and the 4 becomes a 5
Answer:
320
Step-by-step explanation:
320
As your rounding to the ten place if your number is above five you round up if its below you round down.
How do you do question 3?
Answer:
Standard Form: 4x-1x^3-5x^2.
Answer:
[tex]4x + {x}^{3} - 5 {x}^{2} [/tex]
Step-by-step explanation:
[tex]4x - 3 {x}^{3} + 2 {x}^{3} - 5 {x}^{2} \\ = 4x + {x}^{3} - 5 {x}^{2} [/tex]
Central angle ACD of circle C has a measure of 50 degrees. What is the measure of arc AD? What is the measure of inscribed angle ABD?
Please help!
Answer:
see explanation
Step-by-step explanation:
The inscribed angle ABD is on half the central angle ACD, that is
∠ ABD = 0. × 50° = 25°
The measure of arc AD is equal to the central angle it subtends, thus
arc AD = 50°
1. The measure of inscribed angle [tex]\( \angle ABD \)[/tex] is 25 degrees. 2. The measure of arc [tex]\( AD \)[/tex] is 50 degrees.
To solve this problem, we need to understand the relationship between central angles, arcs, and inscribed angles in a circle.
1. Measure of Arc AD:
The measure of an arc created by a central angle in a circle is equal to the measure of the central angle itself. Given that the central angle [tex]\( \angle ACD \)[/tex] is 50 degrees, the measure of arc [tex]\( AD \)[/tex] is also 50 degrees.
[tex]\[ \text{Measure of arc } AD = 50^\circ \][/tex]
2. Measure of Inscribed Angle ABD:
An inscribed angle that intercepts the same arc as a central angle will have a measure that is half the measure of the central angle. In this case, the inscribed angle [tex]\( \angle ABD \)[/tex] intercepts arc [tex]\( AD \)[/tex], which has a measure of 50 degrees.
[tex]\[ \text{Measure of } \angle ABD = \frac{1}{2} \times \text{Measure of arc } AD = \frac{1}{2} \times 50^\circ = 25^\circ \][/tex]
The complete question is:
Central angle ACD of circle C has a measure of 50 degrees. What is the measure of arc AD? What is the measure of inscribed angle ABD?
1. [tex]\( \angle ABD \)[/tex] = ______.
2. arc [tex]\( AD \)[/tex] = ______.
Plz hurry
The mean of a data set is 30. What is the deviation from the mean of a data point 27 that was part of the data set?
a) 1.5
b) –3
c) 3
d) –1.5
Answer:
c
Step-by-step explanation:
The deviation from the mean for the data point 27 in a data set with mean 30 is -3.
Explanation:In mathematics, the deviation from the mean of a data set is a measure of the distance between each data point and the mean. It is obtained by subtracting the mean from the data point. In this case, the mean of the data set is given as 30. To find the deviation from the mean for the data point 27, you simply subtract 30 (the mean) from 27 (the data point).
So 27 - 30 = -3
This means the deviation from the mean for the data point 27 is -3 which corresponds to option b.
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A line has a slope of Negative one-half and a y-intercept of –2. A coordinate plane. What is the x-intercept of the line?
In a coordinate plane, the x-intercept of the line x + 2y + 4 = 0 will be (–4, 0).
What is the equation of line?The equation of line is given as
y = mx + c
Where m is the slope and c is the y-intercept.
A line has a slope of Negative one-half and a y-intercept of –2.
m = – 1/2
c = – 2
The equation of line will be
y = –(1/2)x – 2
1/2x + y + 2 = 0
x + 2y + 4 = 0
For the x-intercept, the value of y will be zero.
x + 2y + 4 = 0
Put x = 0, then the value of y will be
x + 2(0) + 4 = 0
x + 4 = 0
x = –4
Then the x-intercept of the line x + 2y + 4 = 0 will be (–4, 0).
The equation of the line is drawn in the graph.
It can be clearly observed the line intersect at (-4, 0) and (0, -2).
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Answer:
-4 is the answer
Step-by-step explanation:
Determine the slope of the line that has the following coordinates: (1.5, 6) (3.75, -12)
A. 18/2.25
B. -18/5.25
C. -6/2.25
D. -18/2.25
Answer:
= -18/2.25
Step-by-step explanation:
We can find the slope by using the following
m = (y2-y1)/(x2-x1)
= (-12-6)/(3.75 - 1.5)
= -18/2.25
Answer:
The answer to your question is the letter D.
Step-by-step explanation:
Data
Point A = (1.5, 6)
Point B = (3.75, -12)
Slope measures the steepnees of a line.
Formula
slope = m = (y2 - y1) / (x2 - x1)
-Asign values to x1, y1, x2 and y2
x1 = 1.5 y1 = 6 x2 = 3.75 y2 = -12
-Substitution
m = (-12 - 6) / (3.75 - 1.5)
-Simplification
m = -18 / 2.25
-Result
m = 8
It is possible to simplify more the result so slope = 8.
Determine the slope of the line below.
A. -3/2
B. 2/3
C. 3/2
D. -2/3
Answer:
B
Step-by-step explanation:
Count from the y-intercept to the next natural point. 2 up and then 3 across
Solve the equation.
5x + 6 = 2(2x – 3)
x =
Given the function g(x) = x^2+ 10x + 23, determine the average rate of change of
the function over the interval -8 < X < -4.
The average rate of change of the function g(x) = x^2 + 10x + 23 over the interval -8 < x < -4 is -0.5.
Explanation:To determine the average rate of change for the function g(x) = x^2 + 10x + 23 over the interval -8 < x < -4, we first plug these x-values into the function to find the corresponding y-values:
G(-8) = (-8)^2+ 10*(-8) + 23 = 9
G(-4) = (-4)^2+ 10*(-4) + 23 = 7.
The average rate of change will then be the change in y-values divided by the change in x-values, so:
Average Rate of Change = [G(-4) - G(-8)]/[-4 - (-8)] = (7 - 9)/(-4 - (-8)) = -2/4 = -0.5.
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If x = 12 cm, what is the volume of the prism?
7 cm³
Answer:
84
Step-by-step explanation:
A circular lawn of radius 10 mhas a circular flower bed of radius 5m dug into it.
What is the area of the remaining lawn? Give your answer in terms of pi (3.14)
Answer:
75π [tex]m^{2}[/tex] ≈ 235.62 [tex]m^{2}[/tex]
Step-by-step explanation:
R represents the radius of the lawn
r represents the area of the circular bed
So,
Area of the remaining lawn, A = area of the lawn - area of the circular flower bed
A = πR^2 - π^2
A = π(R^2 - r^2)
A = π(10^2 - 5^2)
A = π( 100 - 25)
A = 75π [tex]m^{2}[/tex] ≈ 235.62[tex]m^{2}[/tex]
Determine the solution?
Answer:
c) (-∞, -4] or [7,∞)
Step-by-step explanation:
x² - 3x - 28 ≥ 0
x² - 7x + 4x -28 ≥ 0
x (x - 7) + 4(x - 7) ≥ 0
(x-7) (x + 4) ≥ 0
When x value lies in (-∞, -4], (x-7) value will be negative and (x+ 4) will be negative. So, result will be positive
When x value lies in [7,∞), both (x-7) and (x+ 4) will be positive. So, result will be positive
The circumference of a circle is 36x feet. What is the length of the radius of this circle?
O oft
O 18h
O 36 ft
O 72 ft
Answer:
18h
Step-by-step explanation:
A regular hexagon is shown.
A rectangular hexagon has an apothem with length 12 inches and a radius with length c. The apothem cuts the side of the hexagon into 2 equal parts with length b.
What is the measure of the radius, c, rounded to the nearest inch? Use the appropriate trigonometric ratio to solve.
6 in.
10 in.
14 in.
24 in.
Answer:
The answer is C) 14in.
Step-by-step explanation:
this is very easy, you just gotta do this, then that, then this, blablablabla you will get 100%
The radius of the hexagon with an apothem of 12 in is 14 inches.
What is trigonometric ratio?Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
The angles of a hexagon measure 60 degrees each, since it is bisected, the angle becomes 30 degrees.
Let c represent the radius of the hexagon, hence:
cos(30) = 12/c
c = 14 in
The radius of the hexagon with an apothem of 12 in is 14 inches.
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Iris charges $50 for her consulting services plus $60 for each hour she
works. On one job, Iris charged $470. Write and solve an equation to
model this scenario. Use the variable h
O
50 + 60h = 470
0
50h + 60 = 470
0
60h + 470 = 50
50h + 470 = 60
Answer:
50+60h = 470
Step-by-step explanation:
50 is the constant as she charges a base fee.
"For each" => price varies => "varies" => variable => x
50+60h = 470.
Please help me, i've asked before but go no answer. Brainliest to correct answer and thanks to all answers
Answer:
The answer is B.
Step-by-step explanation:
All other answers are irrational
Ok so can someone pls help me on this. It’s math, and pls explain.
Answer:
3)a. (80 km/hour)(6 hours) = 480 km
b. 480 km/5 hours = 96 km/hour