Answer:
if you have any questions or concerns you may have added the new year is not available for remote playback is unavailable right now the only thing I want to exchange the product
$13,633.26 will be in the account after 6 years.
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This question is solved using the compound interest formula.
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
--------------
In this question:
Deposit of $8500 means that [tex]P = 8500[/tex].Interest rate of 7.9% means that [rex]r = 0.079[/tex].Compounded monthly, that is, 12 times an year, so [tex]n = 12[/tex].6 years, thus, [tex]t = 6[/tex].--------------
How much money will be in the account after 6 years?
This is A(6), so:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(6) = 8500(1 + \frac{0.079}{12})^{12\times6}[/tex]
[tex]A(6) = 13,633.26[/tex]
$13,633.26 will be in the account after 6 years.
A similar question is given at https://brainly.com/question/23781391
A bookshelf holds 5 sports magazines and 5 architecture magazines.
When 3 magazines are taken from the shelf at random, without replacement, what is the probability that all 3 are architecture magazines?
3/25
1/125
1/12
1/8
Answer:
1/12
Step-by-step explanation:
The first time the person picks a magazine, they have a 5/10 chance of drawing an architecture magazine.
The second time, they have a 4/9 chance because they have already removed one magazine from the bookshelf
The third time, they have a 3/8 chance because they have already removed 2 magazines.
Multiply all of the probabilities together
5/10 * 4/9 * 3/8 = 60/720
Simplify:
60/60 / 720/60 = 1 / 12
Hope this helps!
What is an equivalent expression to 4( x + 2) + 6x
Work Shown:
4(x+2) + 6x
4x+8 + 6x
(4x+6x) + 8
10x+8
Which one hurry
A.2 unit sides
B.3 unit sides
C.4 unit sides
D.5 unit sides
Answer:
4 units
Step-by-step explanation:
P of a square is P =4s
A of a square is A = s^2
4s = s^2
Divide each side by s
4s/s = s^2/s
4 =s
Which value is in the domain of f(x)? PLS help :)
Answer:
(c) 4
Step-by-step explanation:
Given
The piecewise function
Required
The value in f(x) domain
The domain of f(x) is:
[tex]-6 < x \le 0[/tex] and [tex]0 < x \le 4[/tex]
Combine both inequalities:
[tex]-6 < x \le 4[/tex]
List the values of the inequality
[tex]-6 < x \le 4 = \{-5,-4,-3,-2,-1,0,1,2,3,4\}[/tex]
From the list of given options
Only 4 is among the domain
Others are not
helppp please i need this answered fast please :⊂
Answer:
dang good luck
Step-by-step explanation:
I needddd helpppp
Which point is a representation of -(-3)???
Answer:
Point a
negative means on a number line to the left side
Step-by-step explanation:
A medical researcher is studying the spread of a virus in a population of 1000 laboratory mice. During any week, there is a 70% probability that an infected mouse will overcome the virus, and during the same week there is a 40% probability that a noninfected mouse will become infected. Four hundred mice are currently infected with the virus. How many will be infected next week and in 3 weeks?
(a) next week mice rilex
(b) in 3 weeks mice
Answer:
a) 360 mice
b) 364 mice
Step-by-step explanation:
Assume :
A = number of infected mice , B = number of non-infected mice
P( infected mice overcoming infection ) = 70% = 0.7
P ( Infected mice not overcoming infection ) = 1 - 0.7 = 0.3
P( mice becoming infected ) = 40% = 0.4
P ( mice not becoming infected ) = 1 - 0.4 = 0.6
Number of infected mice = 400
Number of non-infected mice = 1000 - 400 = 600
step 1 ; express the probabilities in matrix form
[tex]P = \left[\begin{array}{ccc}0.3&0.4&\\0.7&0.6&\\\end{array}\right][/tex]
[tex]X = \left[\begin{array}{ccc}400\\600\\\end{array}\right][/tex]
step 2 : multiply the matrix above to determine the number of mice that will be infected
a) For next week
PX = [tex]\left[\begin{array}{ccc}360\\640\\\end{array}\right][/tex]
i.e. 360 mice will get infected next week
next 2 week = P ( PX )
= [tex]\left[\begin{array}{ccc}0.3&0.4&\\0.7&0.6&\\\end{array}\right][/tex] * [tex]\left[\begin{array}{ccc}360\\640\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}364\\636\\\end{array}\right][/tex]
b) In 3 weeks time
P ( P(PX) = [tex]\left[\begin{array}{ccc}0.3&0.4&\\0.7&0.6&\\\end{array}\right][/tex] * [tex]\left[\begin{array}{ccc}364\\636\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}363.6\\636.4\\\end{array}\right][/tex]
i.e. 364 mice will get infected in 3 weeks time
50 POINTS!!!!!!!!!!!!!!!
28,45,12,34,36,45,19,20
Find the mean absolute deviation of this set of data. PLEASE PUT STEPS
Answer:
10.125
Step-by-step explanation:
Given the data :
28,45,12,34,36,45,19,20
The mean absolute deviation of the data is :
Σ|x - mean| / n
n = number of values = 8
Mean = Σx / n = 239 / 8
Mean = 29.875
Take the sum of the absolute value if the difference between each data value and the mean, then divide by the data size
Using a mean absolute deviation calculator ;
Mean absolute deviation = Σ|x - mean| / n = 10.125
Please help due today
Answer:
55
Step-by-step explanation:
all of the angles in a triangle ALWAYS add up to 180 degrees.
do the math.
What is the common ratio for the geometric sequence below, written as a fraction?
768, 480, 300, 187.5, …
/
Answer:
5/8
Step-by-step explanation:
Find the common ratio by dividing one of the numbers in the sequence by the previous one:
480/768
= 0.625
Convert this to a fraction:
0.625
= 5/8
So, the common ratio is 5/8
Solve. Four times the sum of 2 and some number is - 8. What is the number?
Answer:
-4
Step-by-step explanation:
Let say other number is 'x'
Equation:-
4(2 + x) = -8
8 + 4x = -8
4x = - 16
x = - 16/4
x = - 4
Select the statement that represents all the solutions of the inequality. d < 7 all rational numbers equal to 7 all integers less than 7 all rational numbers greater than 7 all rational numbers less than 7
the answer is :
all rational numbers less than 7
have a good day <3
Aspongebob at the bottom of the sea
Step-by-step explanation:
In a plain, robust, conversational style, the author known as “Elena Ferrante” has captivated readers worldwide with her chronicle of a complicated friendship between two women.
Answer:
Step-by-step explanation:
anything 1-6
Pls helpi neeed the answer
Answer:
I believe that the answer is 80X (or C)
Step-by-step explanation:
it looks like it is just under a right angle so i believe that it would be 80X
Answer:
y=6x
Step-by-step explanation:
can someone help asap
Answer:
C
Step-by-step explanation:
8×26×6=1200 cubic centimeters
hence, C is the closest
If the function f(2x + 3) = 3x- 8, find f -¹(x)
Answer:
(2x + 35)/3
Step-by-step explanation:
f(2x + 3) = 3x - 8
= 3(2x)/2 - 8
= 3(2x + 3 - 3)/2 - 8
= 3(2x + 3)/2 - 3(3)/2 - 8
= ( 3(2x + 3) - 25)/2
Therefore, f(x) = (3x - 25)/2
Let f(x) = (3x - 25)/2 = y
Therefore,
x = (2y + 35)/3 = f(y)
Hence,
f-¹(x) = f(y) = (2y + 35)/3
Just by merely replacing y,
f-¹(x) = (2x + 35)/3
Answer:
Step-by-step explanation:
[tex]let~g(x)=2x+3,~ then~f\circ g(x)=f(g(x)=3x-8\\\\[/tex]
lets assume that f(x) is a line, so f(x)=mx+b
[tex]f(g(x))=m(2x+3)+b=2mx+3m+b=3x-8[/tex]
the follow equation system results:
[tex]2m=3 \\ 3m+b=-8[/tex]
[tex]m=\frac{3}{2}\\\\b=-\frac{25}{2}[/tex]
finally:
[tex]y=f(x)=\frac{3}{2}x-\frac{25}{2}[/tex]
now is time to calculate the inverse function:
[tex]y=\frac{3}{2}x-\frac{25}{2}=>2y+25=3x=>x=\frac{2}{3}y+\frac{25}{3}[/tex]
so
[tex]f^{-1}(x)=\frac{2}{3}x+\frac{25}{3}[/tex]
Can someone please help me? thank you
Answer:
c = (ef-ab)/d
Step-by-step explanation:
ab+cd = ef
Subtract ab from each side
ab+cd -ab = ef-ab
cd = ef-ab
Divide by d
cd /d =(ef-ab)/d
c = (ef-ab)/d
A dancing competition has 13 competitors, of whom four are American, two are Mexicans, four are Russians and three are Italians. If the contest result lists only the nationality of the competitors, how many outcomes are possible?
Answer:
900,900 outcomes are possible.
Step-by-step explanation:
Arrangements with repetition:
The number of possible arrangements of n elements, considered that they are divided in classes of [tex]n_1,n_2,...,n_n[/tex] elements, is given by:
[tex]A = \frac{n!}{n_1!n_2!...n_n!}[/tex]
A dancing competition has 13 competitors
This means that [tex]n = 13[/tex]
Four are American, two are Mexicans, four are Russians and three are Italians.
This means that [tex]n_1 = 4, n_2 = 2, n_3 = 4, n_4 = 3[/tex]
How many outcomes are possible?
[tex]A = \frac{13!}{4!2!4!3!} = 900900[/tex]
900,900 outcomes are possible.
4x+9=41 x is equal to
Answer and Step-by-step explanation:
Simply solve for x (very easy to do).
4x + 9 = 41
Subtract 9 from both sides of the equation.
4x = 32
Divide both sides of the equation by 4.
x = 8
x is equal to 8.
#teamtrees #PAW (Plant And Water)
A line through the point (2,5) forms a right triangle with the x-axis
and y-axis in the 1st quadrant. Determine the equation of the line that
will minimize the area of this triangle.
9514 1404 393
Answer:
5x +2y = 20
Step-by-step explanation:
Suppose 'a' is the x-intercept of the line.
Then the slope is given by the slope formula ...
m = (y2 -y1)/(x2 -x1)
m = (0 -5)/(a -2)
And the y-intercept is ...
b = y -mx = 5 -(-5/(a-2))(2) = 5 +10/(a -2)
The area of the triangle is half the product of 'a' and 'b', so is ...
A = 1/2ab
A = 1/2(a)(5 +10/(a -2)) = 2.5a +5a/(a-2)
The area is minimized when the derivative of this is zero.
A' = 2.5 -10/(a -2)^2 = 0
Solving for 'a' gives ...
(a -2)^2 = 10/2.5 = 4
a = 2 + 2 = 4 . . . . . . . . . . . x-intercept
b = 5 +10/(4 -2) = 10 . . . . . y-intercept
m = -5/(4 -2) = -5/2 . . . . . . slope
An equation of the line is ...
y = -5/2x +10 . . . . . slope-intercept form
5x +2y = 20 . . . . . standard form
__
You may have noticed that the x-and y-intercepts are double the x- and y-values of the given point. That is, the given point is the midpoint of the hypotenuse of the triangle with minimum area. That is the general solution of this sort of problem.
let f(x)=x-1 and g(x)=x^2+1
f(g)=___
Answer:f(g)=2
Step-by-step explanation:
Translate and solve: twenty-three greater than b is at least −276.
Answer:
b+23≥-276
b≥-276-23
b≥-299
Step-by-step explanation:
hope this is helpful
how do i solve this problem
Answer:
[tex]A\approx 159.6[/tex]
Step-by-step explanation:
1. Approach
To solve this problem, divide the given figure up into two smaller figures, a rectangle and a semi-circle. Find the area of each figure and add up the values to find the total area. Remember the formula to find the area of a rectangle is as follows ([tex]A=(length)(width)[/tex]). The formula to find the area of a circle is the following, ([tex]A=(\pi)(r^2)[/tex]).
2. Find the area of the rectangle
The radius is the measurement in a circle from the center of a circle to any point on the circle's circumference (outer edge). The diameter is a line going through a circle connecting two opposite edges on a circle and passing through the center of a circle. By its definition, the diameter is always twice the radius of a circle.
As one can see in the rectangle, the side of the rectangle is made of the diameter of the circle. Since the diameter of a circle is twice the radius, one must multiply the radius by (2), then multiply that value by the length of the rectangle to find the area of the rectangle,
[tex]A=(length)(width)\\[/tex]
Substitute,
[tex]A_r=(length)(2(radius))\\A_r=(14)(2(5))[/tex]
Simplify,
[tex]A_r=(14)(2(5))\\A_r=(14)(10)\\A_r=140[/tex]
3. Find the area of the semi-cricle
Now one has to find the area of the semi-circle. Since a semi-circle is half of a circle, one must divide the formula to find the area of a circle by (2) in order to find the area of a semi-circle. Remember parameter (r) represents the radius, and ([tex]\pi[/tex]) represents the numerical value (3.1415...)
[tex]A=\frac{(\pi)(r^2)}{2}[/tex]
Substitute,
[tex]A_s=\frac{(\pi)(5^2)}{2}[/tex]
Simplify,
[tex]A_s=\frac{(\pi)(5^2)}{2}\\A_s=\frac{(\pi)(25)}{2}\\A_s=12.5\frac{(\pi)}{2}\\A_s\approx19.635[/tex]
4. Find the total area
To find the total area of the figure, one must add up the two components, add the area of the rectangle to the area of the semi-circle,
[tex]A=A_r+A_s\\[/tex]
Substitute,
[tex]A=140+19.635[/tex]
Simplify,
[tex]A=159.635[/tex]
[tex]A\approx 159.6[/tex]
Find the value of x for which WXYZ must be a parallelogram.
Answer:
[tex](5x - 4) \degree = (2x + 14)\degree \\ 3x = 18\\ x = 6[/tex]
Cho tam giác ABC vuông cân tại A
Cạnh đáy BC 5cm, AB 7cm. Tính diện tích
Answer:
7 × 5 :2 it is the answer ,i love you
A quick quiz consists of a multiple-choice question with 5 possible answers followed by a multiple-choice question with 5 possible answers. If both questions are answered with random guesses, find the probability that both responses are correct.
Answer:
1/25
Step-by-step explanation:
P of both answers are correct =
P first question is answered correct and P second question is answered correct
in probability, and = multiplication
P first question is answered correct =1 correct answer/5 possible answers =1/5
P second question is answered correct = 1/5
P of both answers are correct = (1/5) · (1/5) = 1/25
PLEASE HELP FOR 10 POINTS what is the length of PM
A.) 3 units
B.) 4 units
C.) 5 units
D.) 6 units
Answer:
D
Step-by-step explanation:
The figures are the same just flipped. We can tell AD=NM ON=AB, BC=OP. Thus DC =MP
DC has the length of 6 and because MP is congruent to DC it also has 6.
Express the given set in roster form.
Answer:
E= { 13 , 14 , 15 , .........94 }Step-by-step explanation:
hope it may help u
please mark as brainlist
(๑˙❥˙๑)
choose the appropriate postulate of the following pair lf triangles are congruent.
Answer:
ASA
Step-by-step explanation:
they share the side in the middle (reflexive property) and have two congruent angles
Please help me with this I need it bad
Answer:
1
Step-by-step explanation:
The average rate of change is the gradient _
Gradient = Rise / Run = (y2 - y1) / (x2 - x1)
From the table ;
x2 = 4 ; x1 = - 1 ; y2 = 5 ; y1 = 0
Gradient = (y2 - y1) / (x2 - x1) = (5-0) / (4 - - 1) = 5/5 = 1
Write the equation of the line parallel to y=1/2x−6 that passes through (−10,4).
Answer:
y = 1/2 x + 9
Step-by-step explanation:
y = 1/2 x + b
4 = (1/2)(-10) + b
4 = -5 + b
b = 9
