The amount that would be in the account when Jackson is 40 years old with continuous compounding is $74,044.49.
What is the future value of the account?The formula for calculating future value when there is continuous compounding is : A x e^r x N
Where:
A= amount e = 2.7182818 N = number of years : 40 - 28 = 12r = interest rate$6000 x e^0.028 x 12 = $74,044.49
To learn more about continuous compounding, please check: https://brainly.com/question/26476328
#SPJ1
Determine the domain of the function in the correct set notation. {x|x ∈ R, x ≠ –3} {x|x ∈ R, x ≠ 3} {x|x ∈ R, x ≠ 2} {x|x ∈ R, x ≠ –2}
Answer:
a on edg
Step-by-step explanation:
i just did the question
The correct set notation for the domain of the function is {x | x ∈ R, x ≠ 3}. Option {x | x ∈ R, x ≠ 3} is the correct answer.
The domain of a function is the set of all possible input values (x-values) for which the function is defined.
In this case, the given function is:
F(x) = (x - 4)/(x - 3)
The function is defined for all real numbers (x ∈ R) except when the denominator (x - 3) becomes zero, as division by zero is undefined.
Therefore, we need to find the value of x that makes the denominator zero and exclude that value from the domain.
The denominator becomes zero when:
x - 3 = 0
x = 3
So, the domain of the function is {x | x ∈ R, x ≠ 3}. This set notation means that the function is defined for all real numbers except x = 3. Thus, the correct set notation for the domain of the function is {x | x ∈ R, x ≠ 3}. Option {x | x ∈ R, x ≠ 3} is the correct answer.
To learn more about the domain;
https://brainly.com/question/28135761
#SPJ3
The complete question:
F(x) = (x - 4)/(x - 3)
Determine the domain of the function in the correct set notation. {x|x ∈ R, x ≠ –3} {x|x ∈ R, x ≠ 3} {x|x ∈ R, x ≠ 2} {x|x ∈ R, x ≠ –2}
The triangles below are similar. Find x.
a. 1
b. 2
c. 3
d. 4
Answer:
a. 1
Step-by-step explanation:
[tex]\frac{x+2}{x} =\frac{6}{2} =3[/tex]
The ratio is 1:3
[tex]x+2=3x[/tex]
[tex]2=3x-x\\2=2x\\[/tex]
x = 2/2 = 1
Hope this helps
I need help please. What is the similarity statement for the triangle pair?
A. ΔXYZ~ΔNEW
B.ΔXZY~ΔNWE
C.ΔYZX~ΔNWE
D. ΔZYX~ΔENW
What is the value of x in this equation? 5x= 15
Answer:
x=3
Step-by-step explanation:
15 divided by 5= 3
5(3)=15
so x=3
Wall Drugs offered an incentive stock option plan to its employees. On January 1, 2021, options were granted for 69,000 $1 par common shares. The exercise price equals the $5 market price of the common stock on the grant date. The options cannot be exercised before January 1, 2024, and expire December 31, 2025. Each option has a fair value of $1 based on an option pricing model.
What is the total compensation cost for this plan?
With that in mind, try to answer the question.
If the diameter of the moon is 3476 km, what is the circumference of the moon,
in kilometers? (Round your answer to the nearest thousand kilometers.)
Answer
Answer:
10920.176064km
Step-by-step explanation:
Circumfrence = 2*pi*radius
radius = diameter/2
r = 3476/2
c=2(pi)r
c=2(pi)(3476/2)
c=10920.176064
given sin(theta) = -8/17 and pi (Picture of the problem below) (answers in picture below)
Answer:
(d) 240/289
Step-by-step explanation:
The trig identity for the sine of a double angle can be used to find the desired value.
sin(2θ) = 2sin(θ)cos(θ)
__
The cosine of this 3rd-quadrant angle is negative:
cos(θ) = -√(1 -(-8/17)²) = -(√(289 -64))/17 = -15/17
Then the desired sine value is ...
sin(2θ) = 2(-8/17)(-15/17) = 240/289
_____
Additional comment
The attached calculator result comes from the principal value of the arcsine function resulting in a 4th-quadrant angle for negative sine values. Double that angle will still be a 4th-quadrant angle. When the translation is made to the appropriate quadrant, the desired double angle will be a 1st-quadrant angle with a positive sine.
Find the slope of the line graphed below.
Answer:
—7/3
Step-by-step explanation:
1) Choose two points on it.
like (1,3) and (4,—4)
2) slope is
[tex]slope = \frac{y2 - y1}{x2 - x1} = \frac{3 + 4}{1 - 4} = \frac{7}{ - 3} = - \frac{7}{3} [/tex]
Answer:
-7/3
Step-by-step explanation:
Slope formula:
[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
The two points on the graph are (1,3) and (4,-4).
Substitute into the formula:
[tex]\frac{-4 - 3}{4 - 1}[/tex]
Simplify:
[tex]\frac{-4 - 3}{4 - 1} = \frac{-7}{3}[/tex]
when asked to factor the x^2 - 100, a student gives the answer (x -10) (x-10). what is wrong with this answer?
[tex]x^2-100\\\\=x^2-10^2\\\\=(x+10)(x-10)\\\\\text{The difference of two squares formula is}~ a^2 -b^2 =(a+b)(a-b),\\\\\text{So, the student did not apply it properly}[/tex]
Madison's favorite part of pizza is the crust. Pizza sizes are determined by their
diameter. Which size pizza should Madison order to get 37.68 inches of crust?
Answer:
Step-by-step explanation:
The following statement is a Contingency: (P and (P => Q)) => Q T True F False
The statement (p and (p => q)) => q) is not a contingency because of it evaluating to only true while a contingency statement includes both true values and some false values.
What is a contingency statement?Contingency is a statement in which there are some true and some false values for every value of its propositional variables.
The statement given is (p and (p => q)) => q), or in more symbolic way, it is: ((p ∧ (p → q)) → q)
Now, let we evaluate it for p = False, and q = False.
Then we get:
(p → q) = T (as False implied False)
Now, (p ∧ (p → q)) is F and T which is F
Then, ((p ∧ (p → q)) → q) is F → F which is True, or T.
Thus, p = F,and q = F makes ((p ∧ (p → q)) → q) = T
Similarly, the truth table for the statement (p and (p => q)) => q) or simply ((p ∧ (p → q)) → q) is:
p q ((p ∧ (p → q)) → q)
F F T
F T T
T F T
T T T
Since all the values are true, thus, this isn't a contingency.
Thus, the statement (p and (p => q)) => q) is not a contingency because of it evaluating to only true while a contingency statement includes both true values and some false values.
Learn more about contingency here:
https://brainly.com/question/11656774
#SPJ1
Which decimal is equivalent to 0.75?
Answer:
Fracción
3/4
Fracciones equivalentes
6/8
Decimal
0,75
Answer:
3/4.
Step-by-step explanation:
0.75 = 75/100
= 3/4
The number of ways 4 chairs can be arranged.
Answer:
24 arrangements.
Step-by-step explanation:
ive done this before
Here’s a graph of a linear function. Write the equation that describes that function. Express it in slope-intercept form.
Answer:
y=5x-5
Step-by-step explanation:
The slope of the graph is 5 and the Y intercept is (0,-5). Plug into slope intercept form : y=mx+b to get the equation.
The sum of 15 and twice a number is -31. Find the number
Answer:
-23
Step-by-step explanation:
15 + 2n = -31
15 + 2n - 15 = -31 - 15
2n = -46
n = -23
Help i will give thanks to the first to answer
Answer:
The value of the expression is 21
Step-by-step explanation:
You need to plug 5 into z
Expression:
5z-4
5(5) - 4
Notice that 5 shall be multiplied meaning 5 x 5
25-4
= 21
It's 21 since 5 times 5 is 25 subtracted 4 is 21
thought it was something else
The sale tax rate is 5%. Jadon buys a shirt at $200.What will be the total cost, including tax
solve for x ~
[tex]x {}^{2} - 5x + 6 = 0[/tex]
thankyou ~
Answer:
x²-5x+6 =0
x²-3x-2x+6 =0
x(x-3)-2(x-3)=0
(x-2)(x-3) =0
x-2 =0, x-3 = 0
x=2 , x = 3
x = 2 or 3 answer
What is the value of the expression 20 ÷ 4 + (6 x 2) − 2? (2 points)
15
22
17
28
Answer: 15
Step-by-step explanation:
20 ÷ 4 + (6 x 2) − 2
Start by solving the parenthesis
20 ÷ 4 + (12) − 2
Now using order of operations we know to do division before addition/subtraction
5+12-2
Solve addition/subtraction from left to right
17-2
15
Find the slope of the line passing through the points (-4, 1) and -9,5)
The slope of the line is -0.8.
The formula for distance is...
y2−y1 5−1
______= ________
x2−x1 −9− −4
And so when simplified we get
4
__
-5
Giving us -0.8.
I WILL GIVE YOU 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER. A ramp formed the angles shown to the right. What are the values of A and B?
Answer:
A=167⁰, B=13⁰
Step-by-step explanation:
A=167⁰
B=13⁰
I HOPE IT HELPED YOU
Answer:
a° = 167°, b° = 13°
Step-by-step explanation:
since the angles in a triangle add to 180°, we can work out b°
90° (right angle) - 77° = 167°
180° - 167° = 13°
since the angle of a straight line is also 180°, a° would be 180° - 13° which is 167°.
Match each action with its effect on the set of scores shown. Use each action only once.
90, 85, 35, 70, 67, 76, 90, 79, 94, 100, 87, 61, 56, 80, 67, 65
The change that will occur to the mean, median, mode of the data matched as follows:
1. e
2. b
3. d
4. a
5. c
What is the Mean fo a Data Set?To find the mean, the sum of all the values is divided by the number of values.
Given the data, 90, 85, 35, 70, 67, 76, 90, 79, 94, 100, 87, 61, 56, 80, 67, 65, therefore:
1. 35 is an extreme value, so it is an outlier. If we remove 35, the greatest change will be on the mean. (e)
2. If we remove 90, 67 will have the highest frequency. This means the mode of the data will change to 67. (b)
3. If 76 is removed from the data, the median of the data would be 79. (d)
4. If we remove 100, the range of the data would be, 94 - 35 = 59. (a)
5. If we remove 94, the mean of the data = 1108/15 = 73.87
This means the mean of the data will change to 73.87 if we remove 94. (c)
Learn more about the mean of a data on:
https://brainly.com/question/11015069
There are two taxi cab companies in Redwood. Their charges are listed below.
Redwood Taxi
$2.00 for the first mile
plus
$1.00 for each additional mile
Max's Taxi Service
$5.00 for the first mile
plus
$0.50 for each additional mile
According to the graph below, for how many miles will the charges from both taxi cab companies be equal?
1. 8
2. 1
3. 7
4. 4
Answer:
The answer is number 3 or 7 miles is when the charges in both the taxi cab companies will be equal.
Step-by-step explanation:
Redwood Taxi:
$2.00 + $1.00(6)
$2.00 + $6.00 = $8.00
Max's Taxi Service:
$5.00 + $0.50(6)
$5.00 + $3.00 = $8.00
Easier Solution:
Look at the image and see what coordinate both lines cross at. The X coordinate or 7 would be the answer.
Answer:The answer is number 3 or 7 miles is when the charges in both the taxi cab companies will be equal.
Step-by-step explanation:
Redwood Taxi:
$2.00 + $1.00(6)
$2.00 + $6.00 = $8.00
Max's Taxi Service:
$5.00 + $0.50(6)
$5.00 + $3.00 = $8.00
Easier Solution:
Look at the image and see what coordinate both lines cross at. The X coordinate or 7 would be the answer.
what is fhe solution of the system of these equations? (i’m giving brainliest)
Answer:
Top-left system: (3,5)
Bottom-right
system: (-1,0)
Step-by-step explanation:
One way to solve a system of equations is to graph them. The solution is the point of intersection (where the lines cross). If you need to give the x-value and y-values separately, the first number in the pair is the x and the second number is the y.
PLEASE HELP BEST ANSWER GETS BRAINLY
Answer:
it is the third one 1,133.54 in²
Step-by-step explanation:
38÷2=19 = R
19²×3.14 = 1,133.54 in²
let a=x2+4. use a to find the solutions for the following equation:(x2+4)2+32x2=48
Find all relative maximum and minimums of f(x) =2x^3-3x^2-12x+5 Explain your steps in detail.
Answer:
The relative minimum is (3,-4) and the relative maximum is (-2,1)
Step-by-step explanation:
The first step is to take the derivative of f(x)
By using the power rule which is d/dx x^n=nx^n-1 you will find that the derivative is 6x^2-6x-12
The next step is to set the derivative = to 0 and by doing that you will obtain x being equaled to -2 and 3
Put -2 and 3 on a sign chart and determine the behavior for both of those functions
The outcome of your sign chart should be + - + because of the odd multimplicity of (x-3) and (x+2).
The next step is to find the f(x) values or y values of your two points
By plugging in 3 into f(x), you get -4 and by plugging in -2 into f(x) you get 1
Since there was interval given, I cannot find the absolute extremas of this function.
Use the information shown in the line plot. What is the total weight of the 4 heaviest melons?
Answer:
22.5 lbs
Step-by-step explanation:
the four heaviest melons are 5 1/2, 5 1/2, 5 1/2, and 6 pounds
when you add those together
5.5 + 5.5 + 5.5 + 6
you get
22.5 lbs
Pls help me worth 50 points + brainliest
(i only can give brainliest if 2 PEOPLE answer)
Answer:
$19.90
Step-by-step explanation:
Cost at Best Computers
$299 x (100 - 40)%$299 x 60%$299 x 0.6$179.40Cost at Val-U-Mart
$299 x (100 - 30)% - $10$299 x 70% - $10$299 x 0.7 - $10$209.30 - $10$199.30Money saved
199.30 - 179.40$19.90What is the area of this figure?
Enter your answer in the box.
in2
8 in.
116 in.
20 in.
Answer:
8Step-by-step explanation:
I think we should add all the numbers when you multiply them by 5 then you will get 8.8