Answer:
the answer is 91,5007.50 dollars
Step-by-step explanation:
find the first year you would do 83,000 times 105% and that would equal 87,150 next you would do 87,150 times 105% and I would equal to 91,507.50
Answer:
83830
Step-by-step explanation:
because 5percent of 83000 is 412 and 412 plus 412 is 830 and plus 83830
Select the correct answer.
Which equation written in two variables is equivalent to this function?
f(x) = -2(x – 4)
A.y = -2(f(x) – 4)
B.y = -2x + 4
C.y = -2(f(x) + 4)
D.y = -2(x – 4)
Answer:
D
Step-by-step explanation:
In a function with x as the independent variable and y as the dependent variable, the f(x) notation replaces y in the equation.
find the equation of the line that is parallel to y= -7x+2 and contains the point (-5,32)
Answer:
y=-7x-3
Step-by-step explanation:
y=-7x+b
32=-7(-5)+b
32=35+b
-3=b
y=-7x-3
Given two terms in a geometric sequence, find the 8th term and the recursive formula.
a5 = 3888 and a3 = 108
Answer:
Step-by-step explanation:
Finding the 8th term of this sequence will be much easier with an explicit formula, so we will find that, find the 8th term, then write the equation for the recursive. The recursive formula is only good if you know all the terms before the one you're looking for. That means if we want the 8th term, we first have to find the 7th term, but before that we have to find the 6th term, etc...
We can find the explicit formula for this using the info we have about the 5th term and the 3rd term. The explicit formula looks like this, in general terms:
[tex]a_n=a_1*r^{n-1[/tex] where a1 is the first term and r is the common ratio. We can solve for both, one at a time. First, using the fact that the 5th term is 3888:
[tex]a_5=a_1*r^{5-1[/tex] and subbing in and simplifying:
[tex]3888=a_1*r^4[/tex] and we will solve that for a1:
[tex]a_1=\frac{3888}{r^4}[/tex]
Now the other equation we need for this system, using the fact that the third term is 108:
[tex]108=a_1*r^2[/tex] and we sub in our expression for a1:
[tex]108=(\frac{3888}{r^4})*r^2[/tex] which simplifies to
[tex]108=\frac{3888}{r^2}[/tex] and
[tex]r^2=\frac{3888}{108}[/tex] so
r = 6. Now we'll plug 6 in for r to find a1:
[tex]a_1=\frac{3888}{6^4}[/tex] so
a1 = 3. Now we have the a and r for the explicit formula:
[tex]a_n=3*6^{n-1[/tex] and we simply put in an for n:
[tex]a_8=3*6^{8-1[/tex] and
[tex]a_8=3*6^7[/tex] which gives us the 8th term as
a8 = 839808
The recursive formula is
[tex]a_n=a_{n-1}*r[/tex] and it works, also, but again, you have to have all the terms that come before the one you want or this formula is useless. Explicit is always better, in my opinion.
What is the following product?
StartRoot 12 EndRoot times StartRoot 18 EndRoot
StartRoot 30 EndRoot
5 StartRoot 6 EndRoot
6 StartRoot 5 EndRoot
6 StartRoot 6 EndRoot
The solution to the multiplication of surds (2√3) × (3√2) is; 6√6
We want to find; √12 × √18Let us break each of them into the factors to get;
√12 × √18 = √(4 × 3) × √(9 × 2)
Now,this can be expressed as;(√4 × √3) × (√9 × √2)
Simplifying this further gives;
(2√3) × (3√2)
Now, in surds, we know that;a√b × p√q = ap√bq
Applying the surd rule above to our question gives;(2√3) × (3√2) = 6√6
Read more about multiplication of surds at; https://brainly.com/question/24700530
15 cm equals_____ mm
Answer:
I the answer would be 150 millimeters.
=================================================
Work Shown:
1 cm = 10 mm
15*(1 cm) = 15*(10 mm) ...... multiplying both sides by 15
15 cm = 150 mm
HURRY PLEASE 100 POINTS WILL GIVE BRAINLIEST
Describe how the rules of adding and subtracting fraction are similar and different from the rules of adding and subtracting rational expressions. When are excluded values applied and why are they needed? Give an example. This needs to be an in depth answer.
Answer:
To add or subtract two rational expressions with the same denominator, we simply add or subtract the numerators and write the result over the common denominator.
When the denominators are not the same, we must manipulate them so that they become the same. In other words, you must find a common denominator.
Step-by-step explanation:
Point F is reflected over the yaxis to create F. Use an ordered pair to name the location of F, and determine the
distance between Fand F.
Answer:
Reflection about the y-axis is according to the rule
(x,y)->(-x,y)
Therefore F(x,y) -> F'(-x,y)
The distance between F' and F is (-x,y)-(x,y)=-2x, or the positive distance is 2x.
also consider marking as Brainliest if this helped :)!!
Which proportion could be used to find the missing side length x
Answer:
C
Step-by-step explanation:
Corresponding parts of similar triangles are proportionate
Please answer these 2 questions for me!!
Answers:
C) 5/14A) 2/16===========================================
Explanations:
We have 5+9 = 14 people who don't have a dog. Of this total, 5 have a cat. So that's where 5/14 comes from. We ignore the top row because we know 100% that this person doesn't have a dog (based on what the "given" says).Focus on the top row. This is because we're given or told that the person completed the hw. We have 2 people who failed the test out of 14+2 = 16 people who did the hw. The fraction 2/16 reduces to 1/8, but it appears your teacher doesn't want you to reduce.Find the circumference of the following circle. Round your answer to the nearest hundredth.
Answer:
75.41 cm
Step-by-step explanation:
To find the circumference:
[tex]C = 2r\pi[/tex]
C= 24π = 75.398223686
= 75.41 cm
The First Super Bowl was in what Year-
A. 1957
B. 1967
C. 1969
D. 2000
Answer:
B, 1967.
Step-by-step explanation:
Hope this helps.
If the sum of the squares of the two legs of a triangle does not equal the square of the third side, what can you conclude?
Answer:
The triangle is not right angled.
Step-by-step explanation:
According to the Pythagoras theorem, the sum of the squares of the two legs of a triangle is equal the square of the third side.
For example, in triangle ABC,
[tex]AB^{2} = BC^{2}+CA^{2}[/tex]
It shows, that the triangle ANBC is right angled and right angle is at C.
So if the sum of the squares of the two legs of a triangle does not equal the square of the third side, it shows that the triangle is not right angled.
What is the value of x?
1000
+
300
1000
O A 160°
o
B 100°
Ос
800
10
OD
50°
Answer:
x = 50
Step-by-step explanation:
The unknown arc is
360 -30-100-100 =
130
We can find the value of x
Angle Formed by Two Secants= 1/2(difference of Intercepted Arcs)
x = 1/2 ( 130 -30)
x = 1/2 (100)
x = 50
in 824,795 what digit is in the ten thousand place
Answer:
2 is in the ten thousanths place
Step-by-step explanation:
This is because 2 in 824,795 has the value of 20,000.
What is a advantage to using equations
Answer:
it helps to find unknown variables
Answer:
it helps to discover unknown operations and variables
In a certain Algebra 2 class of 29 students, 17 of them play basketball and 6 of them play baseball. There are 8 who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
explanation
above shows total explanation by set theory,
answer
2
, t
Simplify. x 0 yz -3
Simplify. x 0 yz -3
Answer:
y / z^3
Step-by-step explanation:
x^0 is 1 because anything to the zero power is 1
1 *y z^-3
We know a^-b = 1/a^b
y / z^3
Answer:
[tex] \small \sf \frac{y}{z {}^{ 3}} [/tex]
Step-by-step explanation:
x⁰yz-³
Any non expression raised to power of 0 equals 1.[tex] \small \sf \: 1yz {}^{ - 3} [/tex]
Express with positive exponents using [tex] \small \sf \: a {}^{ - n} = \frac{1}{a^n}[/tex]1y +[tex] \small \sf \frac{1}{ z {}^{ 3}} [/tex]
[tex] \small \sf \frac{y}{z {}^{ 3} }[/tex]
Solve: y = 2x. y = -x+3. Write the coordinates (__, __)
Answer:
(1,2)
Step-by-step explanation:
y = 2x. y = -x+3
Set the two equations equal
2x = -x+3
Add x to each side
2x+x = -x+x+3
3x = 3
Divide by 3
3x/3 = 3/3
x = 1
Now find y
y =2x = 2(1) = 2
(1,2)
Solve like how you solve the system of equations. System of Equations are to find the intercept of both graphs or to find which coordinate points are solution to both equations.
We are given the equations below:
[tex] \large{ \begin{cases} y = 2x \\ y = - x + 3 \end{cases}}[/tex]
Since both equations are y-isolated and we want to find the coordinate point that both equations have or the coordinate point that is a part of two equations.
[tex] \large{2 x = - x + 3}[/tex]
Isolate the x-term by adding both sides by x.
[tex] \large{2x + x = - x + 3 + x} \\ \large{3x = 3}[/tex]
Divide both sides by 3 so we can finally get the x-isolated equation.
[tex] \large{ \frac{3x}{3} = \frac{3}{3} \longrightarrow x = 1 }[/tex]
Next step is to find the value of y. x-term and y-term both have relations. That means when substituting x-term, we get y-term. Therefore, substitute x = 1 in any given equations. It is not necessary to substitute both, only one is fine. I will choose the first equation to solve for y-value.
[tex] \large{y = 2x}[/tex]
Substitute x = 1:
[tex] \large{y = 2(1) \longrightarrow y = 2}[/tex]
The value of y is 2 when x is 1. Since we want the answer to be in coordinate form or ordered pair. From (x,y) - we get (1,2).
Answer
(1,2) is the solution.I hope this helps! Let me know if you have any questions or doubts. Do not hestitate to ask if you've got a question. Good luck on your assignment and have a great day!
In a class there are 11 boys and 19 girls.
The mean weight of all 30 children is 32.85 kg.
The mean weight of the 11 boys is 31.9 kg.
Work out the mean weight of the 19 girls.
Answer:
explain two ways in which the preservation of natural environments adds quality of life in a country : ,
A side of the triangle below has been extended to form an exterior angle of 154º. Find
the value of x.
Answer:
x = 64
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
154 = x+90
Subtract 90 from each side
154-90 = x
64 =x
Answer:
x = 64
Step-by-step explanation:
First, we need to find the unknown interior angle next to the exterior angle.
? + 154 = 180
? = 26
Lastly, we need to find x.
x + 26 + 90 = 180
x + 116 = 180
x = 64
pls help me solve thisss
Answer:
D. 8
Step-by-step explanation:
[tex]3\frac{3}{5} x2\frac{2}{9}[/tex] Convert the fractions into a improper fractions
[tex]\frac{18}{5} x\frac{20}{9}[/tex] Multiply 18 x 20 / 5 x 9
[tex]\frac{360}{45}[/tex] Simplify
8
Find the product of (4a-5b) and (3a+4b-2c).
AISO, Find the value of the product when A=2 b-3 and C= -2
Answer:
solution given:
product of (4a-5b) and (3a+4b-2c) is:
(4a-5b)*(3a+4b-2c)4a(3a+4b-2c)-5b(3a+4b-2c)12a²+16ab-8ac -(15ab+20b²-10bc)12a²+16ab-8ac-15ab-20b²+10bc12a²+16ab-15ab+10bc-8ac-20b²12a²+ab+10bc-8ac-20b²the value of the product when A=2 b-3 and C= -2 :
(4a-5b)*(3a+4b-2c)
(4*2-5*(-3))*(3*2+4*(-3)-2*(-2))(8+15)(6-12+4)23*(-2)-46Nandan bought some pencils at the rate of Rs 20 per pencil . He also bought an equal number of erasers at the rate of Rs 4 per eraser . He made 40 % profit on pencils and 50 % profit on erasers . At the end of the day, all the pencils and erasers were sold out and he made a profit of Rs 470 . Find the number of pencils he purchased.
Answer:
47 pencil
Step-by-step explanation:
Let x represent the number of pencils that were bought. Since equal number of erasers where also purchased, hence x erasers were purchased.
Cost of pencils = Rs 20 per pencil * x pencils = 20x
Cost of erasers = Rs 4 per eraser * x eraser = 4x
40% profit was made on pencils, hence:
Profit on pencils = 40% of cost price = 0.4 * 20x = 8x
50% profit was made on erasers, hence:
Profit on eraser = 50% of cost price = 0.5 * 4x = 2x
Since the total profit from pencil and eraser was Rs 470, hence:
8x + 2x = 470
10x = 470
x = 47
Therefore he purchased 47 pencil
Find the value of x. Round your answer to the nearest tenth of a unit.
Answer:
Sin31°= 11/x
x = 11/Sin31
x= 21.4. ( Nearest tenth).
Answer:
x ≈ 21.4
Step-by-step explanation:
Using the sine ratio in the right triangle
sin31° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{11}{x}[/tex] ( multiply both sides by x )
x × sin31° = 11 ( divide both sides by sin31° )
x = [tex]\frac{11}{sin31}[/tex] ≈ 21.4 ( to the nearest tenth )
which ordered pair is a solution of the equation 5x-3y=-12
A) (-3,-1)
B) (-1,-2)
C) (-1,-3)
D) (-2,-1)
PLEASE EXPLAIN ANSWER
Find the value of x.
Show work. please help
Answer:
x=7
Step-by-step explanation:
Since this is an isosceles triangle the two angles are equal.
3x+6 = 5x-8
Subtract 3x from each side
3x+6-3x = 5x-8-3x
6 = 2x-8
Add 8 to each side
6+8 = 2x-8+8
14 = 2x
Divide each side by 2
14/2 = 2x/2
7 = x
Answer:
x = 7
Step-by-step explanation:
Its two angle is equal so, it is isosceles triangle.
3 x + 6 = 5 x - 8 .. ( in isosceles triangle two side are equal).
3 x + 6 = 5 x - 8
Subtract 3 x from both side
3 x - 3 x + 6 = 5 x - 3 x - 8
6 = 2 x - 8
add 8 to each side
6 + 8 = 2 x - 8 + 8
14 = 2 x
Divide each side by 2
14 / 2 = 2 x / 2
7 = x
Which of the following sequences is not geometric
Find the midpoint of the segment with endpoints:
(9,8) and (3,5).
pls pls pls pls help!!!! for geometry final
Answer:
Step-by-step explanation:
here x1=9 y1=8 x2=3 y2=5
midpoint=(x2+x1/2 , y2+y1/2)
=(3+9/2 , 5+8/2)
=(12/2 , 13/2)
=(6 , 13/2)
Two numbers are in the ratio 3:5. If one of them is greater than the other by 10,Find the smaller number.
Answer:
smaller number = 15
Step-by-step explanation:
Let the two numbers be 5x and 3x respectively.
According to the question —
5x — 3x = 10
2x = 10
x = 5
Thus the smaller number is 3 × 5 = 15
Answer:
15?
Step-by-step explanation:
Sorry I'm not entirely sure that is correct but I hope it helped!
The path of a breaching ocra whale can be modeled by the function k(x) = x^2 - 2x - 8, where x is the time elapsed in seconds under water, and k(x) is the height in ft below the water.
Determine HOW LONG is the ocra (killer) whale underwater to the nearest second. MUST BE SOLVED ALGEBRAICALLY!
Answer:
The time duration of the ocra whale spends under water is 4 seconds
Step-by-step explanation:
The equation that model the path of the ocra whale is presented as follows;
k(x) = x² - 2·x - 8
Where;
x = The time elapsed in seconds under water
k(x) = The height in feet below water
Therefore, the point where the ocra whale enters the water, k(x) = 0
At the point of submerging below the water surface, we have;
k(x) = 0 = x² - 2·x - 8
Factorizing the quadratic equation gives;
0 = x² - 2·x - 8 = (x - 4)·(x + 2)
Therefore, when k(x) = 0, either;
(x - 4) = 0, which gives, x = 4
(x + 2) = 0, which gives, x = -2
Given that 'x' represent the time, the time elapsed while the whale is under water, x = 4 seconds
