Answer:
[tex]y= 500(1+0.15)^x[/tex]
Step-by-step explanation:
This problem can be solved using concept of compound interest
In compound interest
if p is the principal amount
and r is the interest rate
then value of principal amount(A) after n years time is given by
A = p(1+r)^n
=>[tex]A = p(1+r)^n[/tex]
__________________________________
in the problem
in place of n we have x years
y is the amount which is the total amount after n years
p is the principal money deposited = $500
r = 15%
substituting these value in the formula for amount after n years we have
[tex]y= 500(1+15/100)^x\\y= 500(1+0.15)^x[/tex]
Thus, function modeling the situation is [tex]y= 500(1+0.15)^x[/tex]
Could someone help me please
Answer:
Cannot
Can
Cannot
Cannot
Step-by-step explanation:
10+3 < 18
16+8>23
6.5+3.4 < 10.8
7+7< 23
Answer:
what's the question men let me no
pls answer this qn i need it urgently
Answer:
First rationalize the surd
(√3 +√2)(√3 - √2)/(√3 - √2)(√3 -√2)
The final answer will be 5 + 2√6
So x = 5 + 2√6
I) x + 1/x
5 + 2√6 + 1/5 + 2√6
Find the LCM
The final answer will be 10
ii) x² +1/x²
(5 + 2√6)² + 1/(5 +2√6)²
= 49 + 20√6 + 1/49 + 20√6
Find the LCM
The final answer will be 98
For i) x = 10
ii) x = 98
Hope this helps.
Answer:
i) 10
ii) 98
Step-by-step explanation:
x= (√3+√2)/(√3-√2)
i)
x+1/x= (√3+√2)/(√3-√2) + (√3-√2)/(√3+√2)= ((√3+√2)²+(√3-√2)²)/(√3+√2)(√3-√2)=(3+2+2√6+3+2-2√6)/(3-2)= 10ii)
x²+1/x²= (x+1/x)² - 2x*1/x= 10² - 2= 100 - 2= 98PLZ PLZ HELP QUICK VERY QUICK PLZ PLZ
Find the area of the semicircle.
Either enter an exact answer in terms of
π
πpi or use
3.14
3.143, point, 14 for
π
πpi and enter your answer as a decimal.
Pi*5 squared= 78.5 (rounded to 1 decimal place)
78.5/2=38.25
I divide it by two becAuse it is a semi circle
Answer=38.25
Answer:
It is 39.25
Step-by-step explanation: Khan Academy
Which of the equations below represents a line parallel to the y-axis? A. x = -y B. x = y C. x = 4y D. x = 4
Answer:
D
Step-by-step explanation:
A line parallel to the y- axis is a vertical line with equation
x = c
where c is the value of the x- coordinates the line passes through, thus
x = 4 is the equation of a line parallel to the y- axis → D
how old am I?
16
17
4
Answer:
16
Step-by-step explanation:
(if u are 4, i'm gonna scream)
Answer:
16
Step-by-step explanation:
If you are 4, just no.
a cuboid has length 4.2 m breadth 1.4 m and height 1.2 m . find the number of cubes each of lengh 20cm ,which canbe cut from the cuboid.
l= 4.2 m = 4.2 * 100 = 420 cm
b = 1.4 m = 1.4*100 = 140 cm
h =1.2 m =1.2 *100 =120 cm
Volume of cuboid = l*b*h = 420 * 140 * 120 = 705600 cubic cm
Volume of cube = a*a*a = 20*20*20 = 8000 cubic cm
No.of cubes = Volume of cuboid / volume of cube
= 705600 / 8000 = 882 cubes
or 420*140*120 / 20*20*20 = 42*14*12/2*2*2 = 21*7*6 = 882 cubes
What is the mean of this data set? If necessary, round your answer to the nearest tenth. 11,16,22,28,29,30,31,34,37,38,43,49,56,78,99
Answer:
67 to be at work by the end if your here and we can go to the group and we will be in the office Andy I have to go to work and come back to you and get to you by the end of siliconeyiq and the next day or spiral ham and cheese for the day but will be in a
Factor-8x^3-2x^2-12x-3 by grouping
Answer:
[tex]=-\left(4x+1\right)\left(2x^2+3\right)[/tex]
Step-by-step explanation:
[tex]-8x^3-2x^2-12x-3\\\mathrm{Factor\:out\:common\:term\:}-1\\=-\left(8x^3+2x^2+12x+3\right)\\\mathrm{Factor}\:8x^3+2x^2+12x+3:\quad \left(4x+1\right)\left(2x^2+3\right)\\8x^3+2x^2+12x+3\\=\left(8x^3+2x^2\right)+\left(12x+3\right)\\\mathrm{Factor\:out\:}3\mathrm{\:from\:}12x+3\mathrm{:\quad }3\left(4x+1\right)\\12x+3\\\mathrm{Rewrite\:}12\mathrm{\:as\:}3\cdot \:4\\=3\cdot \:4x+3\\\mathrm{Factor\:out\:common\:term\:}3\\=3\left(4x+1\right)[/tex]
[tex]\mathrm{Factor\:out\:}2x^2\mathrm{\:from\:}8x^3+2x^2\mathrm{:\quad }2x^2\left(4x+1\right)\\8x^3+2x^2\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c\\x^3=xx^2\\=8xx^2+2x^2\\\mathrm{Rewrite\:}8\mathrm{\:as\:}2\cdot \:4\\=2\cdot \:4xx^2+2x^2\\\mathrm{Factor\:out\:common\:term\:}2x^2\\=2x^2\left(4x+1\right)\\=3\left(4x+1\right)+2x^2\left(4x+1\right)\\\mathrm{Factor\:out\:common\:term\:}4x+1\\=\left(4x+1\right)\left(2x^2+3\right)\\=-\left(4x+1\right)\left(2x^2+3\right)[/tex]
What is the slope-intercept form of the equation of the line that passes through the points (−3, 2) and (1, 5)? Help please☹
Answer:
y=3/4x+17/4
Step-by-step explanation:
Answer:
y = (3/4)x + 17/4
Step-by-step explanation:
The slope-intercept form of the equation of the line is y = ax + b
This line passes (-3, 2) and (1, 5)
=> 2 = a(-3) + b
=> 5 = a(1) + b
Subtraction 1st equation from 2nd equation, we have:
3 = 4a
=> a = 3/4
From 2nd equation, we have: 5 = 3/4 + b
=> b = 5 - 3/4 = 17/4
=> y = (3/4)x + 17/4
Hope this helps!
How much money did bianca have?
Answer:
The answer is A. Bianca had $8.
Step-by-step explanation:
I really hope this helps.
Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$ ___
Answer:
Expected Payoff ⇒ $ 1.50 ; Type in 1.50
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]
Thus, Solution ; Expected Payoff ⇒ $ 1.50
(Brainliest will be given) Determine which of the following descriptions is accurate.
Answer:
B the size of the circle is a function of the height of the rectangle
Step-by-step explanation:
Please tell me if it is right and give me thanks and brainleist only if right
YEAR 9 MATHS -SYMMETRY QUESTION
Tick whether the statement below is true or false for this rectangle.
It has rotational symmetry of order 4
(1 mark)
Answer:
32cm
Step-by-step explanation:
i think it is symmetry of order 2 as it's rotational symmetry is 180°
Answer:
It has rotational symmetry of order 2 as it's rotational symmetry is 180°
could someone please help with these three? I got a few minutes left and I'm clueless IM IN NEED OF HELP!!
Answer:
Student 1 has the correct answer
Student 2 started of OK but then divides the number of white marbles by the number of non-white marbles, which is incorrect.
Student 3 reports a probability larger than 1 which is impossible. Also the answer is not in percentages.
a Fair coin is tossed 3 times. What is the probability of getting at least one heads and at least one tails?
Answer:
b. 75%
Step-by-step explanation:
Here are all the outcomes of three coin tosses:
HHH
HHT
HTH
HTT
THH
THT
TTH
TTT
There are a total of 8 possible outcomes.
1 outcome is all heads.
1 outcome is all tails.
6 outcomes have at least one heads and 1 tails
p(at least 1 heads and at least 1 tails) = 6/8 = 3/4 = 75%
A biologist uses a box-shaped fish trap that measures 1/4meter by 2/3meter by 3/5meter. What is the volume of the trap in the cubic meters.
To find the volume of a box-shaped fish trap, we have to multiply the three dimensions of it:
(1/4 m)* (2/3 m)* (3/5 m)
= (1*2*3)/ (4*3*5) m^(3)
= 6/ 60 m^(3)
= 1/10 m^(3)
= 0.1 m^(3)
The volume of the box-shaped fish trap is 0.1 m^(3).
Hope this is helpful~
Which point is in the solution set of the system of inequalities
shown in the accompanying graph?
A. (0,4)
B. (2,4)
C. (-4,1)
D. (4,-1)
Answer: Option c.
Step-by-step explanation:
The dotted line means that the points in the line do not belong to the system, while the other line has all the points on the line.
Now, the point we are looking for must be a solution for both inequalities, so it must be in the region of the graph that is double shaded. (this would be the area at the left)
You now can take each point and see where it is located in the graph, if it is inside the double shaded area, then it is the correct answer.
Now, you will see that the only point that lies inside the double shaded area is the point (-4,1), so the correct option is c.
The point (-4, 1) is in the solution set of the system of inequalities.
An inequality shows the non equal comparison between two numbers or variables.
Given the inequalities as shown in the graph, the solution set of the inequalities is the point that lies on the dark shaded portion.
The dark shaded portion is the solution of the inequality.
From the graph the point (-4, 1) lies on the dark shaded portion.
Therefore the point (-4, 1) is in the solution set of the system of inequalities.
Find out more at: https://brainly.com/question/25285332
A) Complete the table of values for y= x^2 - 4x
Answer:
y = x² - 4x
x = -1 y = 5
x = 0 y = 0
x = 1 y = -3
x = 2 y = - 4
x = 3 y = - 3
x = 4 y = 0
x = 5 y = 5
Hope this helps.
The equivalent values to complete the table are 5, -1, -4 and 0
Given the function according to the table shown:
[tex]y= x^2 - 4x[/tex]
When x = -1
[tex]y= (-1)^2 - 4(-1)\\y=1+4\\y=5[/tex]
When x = 1
[tex]y= (1)^2 - 4(1)\\y=1-4\\y=-3[/tex]
When x = 2
[tex]y= (2)^2 - 4(2)\\y=4-8\\y=-4[/tex]
when x = 4
[tex]y= (4)^2 - 4(4)\\y=16-16\\y=0[/tex]
Hence the equivalent values to complete the table are 5, -1, -4 and 0
Learn more here: https://brainly.com/question/12229583
Simplify this equation. 4m(2mn - 8m) +3n (5n-6mn)Please help me and show working as well
Answer:8m^2n - 32m^2 + 15n^2 - 18mn^2
Step-by-step explanation:
4m x 2mn = 8m^2n
4m x -8m = -32m^2
3n x 5n = 15n^2
3n x -6mn = -18 mn^2
when you add them all together,
8m^2n - 32m^2 + 15n^2 - 18mn^2
A cone has a height of 7ft and a radius of 4ft which equation can find the volume of the cone v=1.3 (7.2)
Answer:
The volume of a cone is:
V=(hπr^2)/3, where h=height and r=radius
V=(7π4^2)/3
V=112π/3 ft^3
V≈117.29 ft^3 (to nearest hundredth of a cubic foot)
Step-by-step explanation:
[tex]R = \sqrt{ \frac{ax - P}{Q + bx} } [/tex]
solve for x. Please can someone help me ASAP. I need to hand it on today.
Step-by-step explanation:
[tex]r = \sqrt{ \frac{ax - p}{q + bx} } \\ {r}^{2} = \frac{ax - p}{q + bx} [/tex]
r² (q + bx) = ax - p
qr² + bxr² = ax - p
qr² + p = ax - bxr²
qr² + p = x (a - br²)
[tex]x = \frac{q {r}^{2} + p}{a - b {r}^{2} } [/tex]
Answer:
[tex]\displaystyle x=\frac{-P-\math{R}^2Q}{\math{R}^2b-a}[/tex]
Step-by-step explanation:
[tex]R=\sqrt{\frac{ax-P}{Q+bx}}[/tex]
[tex]\mathrm{Square\:both\:sides}[/tex]
[tex]R^2=\left(\sqrt{\frac{ax-P}{Q+bx}}\right)^2[/tex]
[tex]R^2=\frac{ax-P}{Q+bx}[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}Q+bx[/tex]
[tex]\math{R}^2\left(Q+bx\right)=\frac{ax-P}{Q+bx}\left(Q+bx\right)[/tex]
[tex]\math{R}^2\left(Q+bx\right)=ax-P[/tex]
[tex]\math{R}^2Q+\math{R}^2bx=ax-P[/tex]
[tex]\mathrm{Subtract\:}\math{R}^2Q\mathrm{\:from\:both\:sides}[/tex]
[tex]\math{R}^2Q+\math{R}^2bx-\math{R}^2Q=ax-P-\math{R}^2Q[/tex]
[tex]\math{R}^2bx=ax-P-\math{R}^2Q[/tex]
[tex]\mathrm{Subtract\:}ax\mathrm{\:from\:both\:sides}[/tex]
[tex]\math{R}^2bx-ax=ax-P-\math{R}^2Q-ax[/tex]
[tex]\math{R}^2bx-ax=-P-\math{R}^2Q[/tex]
[tex]\mathrm{Factor}\:\math{R}^2bx-ax[/tex]
[tex]x\left(\math{R}^2b-a\right)=-P-\math{R}^2Q[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}\math{R}^2b-a[/tex]
[tex]\frac{x\left(\math{R}^2b-a\right)}{\math{R}^2b-a}=-\frac{P}{\math{R}^2b-a}-\frac{\math{R}^2Q}{\math{R}^2b-a}[/tex]
[tex]x=\frac{-P-\math{R}^2Q}{\math{R}^2b-a}[/tex]
Please help !!!!!!!!!!! Will mark brainliest !!!!!!!!!!!
Answer:15
Step-by-step explanation:
its obvious lol simple maths
What is the per capita GDP of the United States?
Answer:
The per capita GDP will be "$62,790".
Step-by-step explanation:
Per capita GDP seems to be a calculation including its overall production of such a nation to take that GDP as well as dividing it by the number of individuals in that region. GDP per capita is particularly evident when analyzing one country or state to the next, as it indicates the remarkable success of that same country.So that the above seems to be the right answer.
What is the name of the line of reflection for the pair of figures? Enter your answer in the box.
Answer:
the line of symmetry. It's like a mirror.
Step-by-step explanation:
I need help im lazy :)
Answer:
[tex]x=-8[/tex]
Step-by-step explanation:
→All you need to do for this equation is, divide both sides by -300. You do this to get "x," by itself:
[tex]2400=-300x[/tex]
[tex]\frac{2400}{-300} =\frac{-300x}{-300}[/tex]
[tex]-8 = x[/tex]
(3×2^2)^9÷(3^3×2)^5
Answer:
exact form
8192/729
decimal
11.237
Step-by-step explanation:
cancel common factors
What does this problem equal?
(h-k)(3) =
Answer:
3h−3k
Step-by-step explanation:
Expand and simplify . 4a(2+3b)-5b(4a-10). PLEASE HELP. BEST ANSWER RECEIVES A BRIANLIEST
Answer:
12a+62b
Step-by-step explanation:
4a(2+3b)-5b(4a-10)
opening brackets
=8a+12b-20a+50b
=8a-20a+12b+50b
=-12a+62b
Brad is practicing the piano. He spends 14 hour practicing scales and 16 hour practicing the song for his recital. Find TWO possible common denominators for 14 and 16.
Answer:
1 and 2
Step-by-step explanation:
A denominator divides a number
to find the two common denominators of 14 and 16,
first we find the factors of 14 and 16.
Factors of 14 are: 1, 2, 7, 14.
Factors of 16 are: 1, 2, 4, 8, 16.
The two common factors between this numbers that will be able to divide these numbers without remainder are 1 and 2, therefore,
the two common denominators of 14 and 16 are 1 and 2
8.
Describe how the graph of y = |x|- 4 is like the graph of y = |x| and how it is different.