The stocks are worth $ 1396.29 nine months later.
Using the continuous compounding formula,
[tex]A = Pe^{rt}[/tex] where
A = final amount of stocks P = initial amount of stocks = $1200, r = compounding rate = 20.2 % = 0.202 t = 9 months = 0.75 yearsSubstituting the values of the variables into the equation, we have
[tex]A = Pe^{rt}[/tex]
[tex]A = 1200e^{0.202 X 0.75}\\A = 1200e^{0.1515}\\A = 1200(1.1636)\\A = 1396.29[/tex]
So, the stocks are worth $ 1396.29 nine months later.
Learn more about continuous compounding here:
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sin(83)cos(7) + cos(83)sin(7)
Answer:
1
Step-by-step explanation:
correct on edge
sin(83 radians) * cos(7 radians)) + (cos(83 radians) * sin(7 radians)) =
0.893996664
Answer:
hope it helps
7. A game is played with 2 fair number cubes. One cube has faces numbered 1 through 6. The second number cube is numbered 4 through 6, and each number is marked on two faces. If both cubes are tossed, what is the probability of rolling a 2 on the first cube and a 3 on the second cube?
Answer:
Less than two would be one. Since there is only one of that, it would be 1/6th or 0.6666
Step-by-step explanation:
A café has 60 tables. 35% of the tables have 2 chairs at each table. The remaining 65% of the tables have 4 chairs at each table. How many tables have 4 chairs?
The number of tables with 4 chairs are 39.
We have a café which has 60 tables. 35% of the tables have 2 chairs at each table. The remaining 65% of the tables have 4 chairs at each table.
We have to determine the number of tables having 4 chairs.
What is 10% of 250 ?The 10% of 250 will be -
[tex]\frac{10}{100} \times 250[/tex] = 25
According to question, we have -
Percentage of tables with 2 chairs = 35%
Percentage of tables with 4 chairs = 65%
Total number of tables = 60
Therefore -
Number of tables with 2 chairs = [tex]\frac{35}{100} \times 60[/tex] = 21
Therefore, number of tables with 4 chairs will be = 60 - 21 = 39
Hence, the number of tables with 4 chairs are 39.
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There are 39 tables that have 4 chairs.
i.e. the number of tables with 4 chairs is: 39.
Here, we have to find the number of tables that have 4 chairs, we first need to calculate how many tables have 2 chairs, and then subtract that number from the total number of tables.
Given that 35% of the tables have 2 chairs, we can calculate the number of tables with 2 chairs as follows:
Number of tables with 2 chairs = 35% of 60 tables
Number of tables with 2 chairs = 0.35 * 60
Number of tables with 2 chairs = 21 tables
Now, to find the number of tables with 4 chairs:
Number of tables with 4 chairs = Total number of tables - Number of tables with 2 chairs
Number of tables with 4 chairs = 60 tables - 21 tables
Number of tables with 4 chairs = 39 tables
So, there are 39 tables that have 4 chairs.
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(3x(3)+9X(2)+27X)/3X
3x | 3x^3+9x^2+27x |x^2+3x+9x
- 3x^3
-------
9x^2
- 9x^2
---------
27x
- 27x
--------
0
Answer:
x^2 + 3x + 9x
Hope you could get an idea from here.
Doubt clarification - use comment section.
Lamar is solving the equation x2−12x=−6 by completing the square. Which shows Lamar's next step and the solution to the equation?
Step 1: x^2 - 12x = -6
Step 2: x^2 - 12x + 36= -6 + 36
An agent was able to sell a house and loth worth P2,300,000,00 if he was given a 5% commission.How much did he receive.
pls have solution :D
Answer:
I am not sure what the P is.
2,300,000,00. X 5% = $115,000,000. Commission
Step-by-step explanation:
Find the height of the trapezoid.
7 m
Area = 51 m2
10 m
vnicn letter on the map indicates the location of the North China Plain?
AAA
o
О В
О С
OD
F
Answer:
The letter C
Step-by-step explanation:
North china plain runs along near the northern east border. It's territory has a noticeable river going through it, and is close to the Gulf of Jilin. A is most likely not correct, since North china plane doesn't go up that high the Yellow river. So it is safe to assume the answer is most likely C
Potatoes are sold at $3.30 per 55 kg bag.
(a) Calculate the cost per kilogram.
(b) How much will 12 kg cost?
HELPPPPPPPPLSSSSS FASTTTUTS A TEST
Hope you could get an idea from here.
Doubt clarification - use comment section.
the lcm of 5 and 8 is??
Travis has hired Charlie and Dora to plant flowers. Dora can plant 150 flowers in the same time it takes Charlie to plant 120 flowers, which can be shown using the following relationship where d and c are the respective rates at which Dora and Charlie can plant flowers:
150 over d equals 120 over c
Also, Dora can plant 18 flowers more per day than Charlie.
How many flowers can Charlie plant per day?
Answer:
72
Step-by-step explanation:
If the rates d and c are flowers per day, we have ...
150/d = 120/c
d -c = 18
__
Multiplying the first equation by cd/30, we have ...
5c = 4d
Multiplying the second equation by 4 gives ...
4d -4c = 72
Adding these equations together, we get ...
5c +4d -4c = 4d +72
Simplifying and subtracting 4d leaves ...
c = 72
Charlie can plant 72 flowers per day.
The factor that most heavily influences your credit score is
A. length of credit history
B. types of credit
C. amount owed
D. payment history
Answer:
D.payment history
Step-by-step explanation:
The midpoint M of ST has coordinates (5, 5). Point T has coordinates (9,5). Find the
coordinates of point S.
Answer:
5,5
Step-by-step explanation:
prove the identity.
(1-sin^2x)tanx=cosxsinx
Note that each Statement must be based on a Rule
[tex](1-\sin^2 x) \tan x \\\\=\cos^2 x \cdot \dfrac{\sin x}{\cos x}\\\\=\cos x \sin x[/tex]
Prove the identity.
sin(x+y) / cosxcosy = tanx+tany
[tex]\dfrac{\sin(x+y)}{\cos x \cos y}\\\\\\=\dfrac{\sin x \cos y + \sin y \cos x}{\cos x \cos y}\\\\\\=\dfrac{\tfrac{\sin x \cos y}{\cos x \cos y} + \tfrac{\sin y \cos x}{\cos x \cos y}}{\tfrac{\cos x \cos y}{\cos x \cos y}}\\\\\\=\dfrac{\tan x + \tan y}1\\\\\\= \tan x + \tan y[/tex]
It costs $6.50 per fidget popper. How much would it cost to get 8 fidget poppers.
Answer:
$52
Step-by-step explanation:
8*6.50
Help help math math math
Answer:
10000
Step-by-step explanation:
you have four digits and each one of them can be 0-9, so 10 possibilities for each digit
10×10×10×10= 10,000
Answer:
160
Step-by-step explanation:
I believe the answer is 160 because it is a four-digit passcode, and 10 different numbers can be used ( 10 * 4 = 40, and 40 * 4 = 160).
List the pairs of congruent angles and the extended proportion that relates the corresponding sides for the similar polygons.
Answer:
<N=<T
<P=<Q
<O=<R
<M=<S
Step-by-step explanation:
they are in order since (N) is the first letter in one triangle then (T) has to be the corresponding angle.
help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast
Answer:
4
Step-by-step explanation:
The number in from of sin is the frequency
Answer:
4
Step-by-step explanation:
Third-degree, with zeros of -4, -2, and 1, and a y-intercept of -11.
[tex]\begin{cases} x = -4\implies &x+4=0\\ x=-2\implies &x+2=0\\ x=1\implies &x-1=0 \end{cases}\qquad \implies (x+4)(x+2)(x-1)=\stackrel{y}{0}[/tex]
now, that's the equation or polynomial in factored form, hmmm we also know that it has a y-intercept of -11, namely, when x = 0 y = -11, well let's plug in a factor to it, that will reflect those values, namely say hmmm factor "a", so
[tex](x+4)(x+2)(x-1)=y\qquad \stackrel{\textit{adding "a" factor for vertical shift}}{a(x+4)(x+2)(x-1)}=y \\\\\\ \stackrel{\textit{we know that when x = 0, y = -11}}{a(0+4)(0+2)(0-1)=-11}\implies -8a=-11\implies a=\cfrac{-11}{-8}\implies a = \cfrac{11}{8} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\mathbb{FOIL}}{\cfrac{11}{8}(x^2+6x+8)}(x-1)=y\implies \cfrac{11}{8}(x^3+6x^2+8x-x^2-6x-8)=y \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \cfrac{11}{8}(x^3+5x^2+2x-8)=y~\hfill[/tex]
(y-5)+0=(y-5)
Identify the property
Answer:
Identity property of addition
Step-by-step explanation:
Help help help math math math
Answer:
1/4
Step-by-step explanation:
the x decreases by 1 the y decreases by 4
Answer:
-4
Step-by-step explanation:
suppose Amaya wants to bake cookies that require 4.5 cups of flour for a recipe that makes 4 dozen cookies. how much flour would Amaya need to make 126 cookies?
Answer:
11.8125 cups of flour
Step-by-step explanation:
4 dozen = 48 cookies
126/48=2.625 batches of 48 cookies
2.625 x 4.5 = 11.8125 cups of flour
The perimeter of a rectangle is 39.2 km, and its diagonal length is 14 km.
Find its length and width
Using the formulas to find its length =
P= 2 ( l + w )
d= w² + l²
There are 2 solutions for,
l = P / 4 + 1 / 4 √8d² - p²
= 39.2 / 4 + 1 / 4 × √8 × 14² - 39²
= 11. 2 km answer.
Using the formula to find its width =
w = p / 2 - l
= 39.2 / 2 - 11.2
= 8.4 km answer.
≈ the length of a rectangle is 11.2 km and the width is 8.4 km
3. Twenty-five percent of Santa's elves
decorated the North Pole. If 150 elves
decorated, how many total elves live in
the North Pole?
Q.
5! = ?
________________
Example :
4! = 4 × 3 × 2 × 1 = 24
Answer:
5!=5*4*3*2*1=120
Step-by-step explanation:
n!=(n)(n-1)(n-2)...(3)(2)(1)
5!=5×4×3×2×1
=20×3×2×1
=60×2×1
=120×1
=120
Please look for the question in the picture.
Answer:
x = 8
Step-by-step explanation:
[tex]\frac{1}{4} x-\frac{3}{5} =1\frac{2}{5}[/tex]
[tex]\frac{1x}{4} -\frac{3}{5} =\frac{7}{5}[/tex]
[tex]\frac{1x}{4} =\frac{7}{5} +\frac{3}{5} \\[/tex]
[tex]\frac{1x}{4} =\frac{10}{5}[/tex]
Use cross multiplication.
[tex]5x=4*10[/tex]
[tex]5x=40[/tex]
[tex]\frac{5x}{5}=\frac{40}{5}[/tex]
[tex]x=8[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
Hello There!
Question:-
[tex]\sf \longmapsto1/4x-3/5=1\dfrac{2}{5}[/tex]
We need to find the value of x.
Solution:-
Convert[tex] \dfrac{2}{5}[/tex] to improper fraction:-
[tex] \sf \longmapsto\dfrac{1}{4} x + \dfrac{ - 3}{5} = \dfrac{7}{5} [/tex]
Add 3/5 to both sides:-
[tex]\sf \longmapsto \: \dfrac{1}{4} x + \dfrac{ - 3}{5} + \red {\dfrac{3}{5}} = \dfrac{7}{5} + \red{\dfrac{3}{5}} [/tex]
On Simplification:-
[tex]\sf \longmapsto \: \dfrac{1}{4} x + \dfrac{ 3}{5} - \dfrac{3}{5} = \dfrac{7 + 3}{5} [/tex]
[tex]\sf \longmapsto \: \dfrac{1}{4} x - 0 = \cancel \dfrac{10}{5} [/tex]
[tex]\sf \longmapsto \dfrac{1}{4} x = 2[/tex]
Multiply both sides by 4 :-
[tex]\sf \longmapsto \: \red4 \times \bigg( \dfrac{1}{4} x \bigg) = \red 4 \times 2[/tex]
On Simplification:-
[tex]\sf \longmapsto \: \cancel 4 \times \dfrac{1}{ \cancel4}x = 4 \times 2[/tex]
[tex]\sf \longmapsto \: x = 8[/tex]
______________________________________
Henceforth,The value of x is :-
[tex] \boxed{ \huge\bf \: x = 8}[/tex]
________________________________
Please let me know if you have any questions.
~MisterBrian
The manager of a store increases the price of a popular product by 9%. Let t be the original price of the product. The new price is t+0.09t. Write an equivalent expression by combining like terms. If the original price was $15.99, estimate the new price by first rounding the original price to the nearest dollar.
Answer:
new equation : 1.09t = new price
Step-by-step explanation:
1.09(15.99) = 17.4291
it's about $17
I NEED MORE HELP PLZZ
Answer:
1A: all real numbers
1B: x = {-3, 0, +18}
1C: (-3, 0) U [3, 18)
2A: h(x) = -1/160x^2 +1/2x
2B: focus: (40, -30); directrix: y = 50; axis of symmetry: x = 40
Step-by-step explanation:
1A:The graph is attached. The domain is all real numbers.
__
1B:The x-intercepts for x < 3 are the zeros of the quadratic:
x^3 -9x = 0
x(x^2 -9) = 0
x(x +3)(x -3) = 0 ⇒ x = 0, -3, +3 . . . . x=3 is not in the domain of this piece
The x-intercepts for x ≥ 3 are the zeros of the log function:
-log4(x -2) +2 = 0
log4(x -2) = 2 . . . . . . add log4(x -2)
x -2 = 4^2 . . . . . . . . . take the anti-log
x = 2 +16 = 18 . . . . . . add 2
The x-intercepts of g(x) are x = {-3, 0, +18}.
__
1C:The graph shows the function is positive on the intervals ...
(-3, 0) U [3, 18)
__
2A:The vertex of the curve is given as (40, 10). The vertical scale factor will make the function 0 at x=0.
h(x) = a(x -40)^2 +10
h(0) = 0 = a(-40)^2 +10 = 1600a +10
a = -10/1600 = -1/160 = -1/(4·40)
The equation of the parabola is ...
y = -1/(160)(x -40)^2 +10
In standard form, this is ...
y = -1/160x^2 +1/2x
__
2B:When we computed the leading coefficient (a) in Part A, we found it to be -1/(4·40). This corresponds to 1/(4p) where p=-40 is the focus to vertex distance. The negative sign means the focus is 40 units below the vertex, at (40, -30). The corresponding location of the directrix is 40 units above the vertex, at y=50.
Of course the axis of symmetry is the vertical line through the vertex: x = 40. These are shown in the second attachment.