Answer:
r ≈ 7.18%
Step-by-step explanation:
a = p(1 + r)^n
-----------------------
a = 10000 * 2 = 20000
p = 10000
n = 2035 - 2025 = 10
Plug in the knowns
20000 = 10000(1 + r)^(10)
Divide both sides by 10000
2 = (1 + r)^(10)
Take the log of both sides
log2 = 10 * log(1 + r)
Divide bot sides by 10
(log2)/10 = log(1 + r)
use calculator
0.030102999566398 = log(1 + r)
antilog both sides
10^0.030102999566398 = 1 + r
1.0717734625 = 1 + r
Subtract 1 from both sides
0.0717734625 = r
r ≈ 7.18%
----------------------------------
Alternate method
2 = (1 + r)^(10)
Take 10th root of both sides
1.0717734625 = 1 + r
Subtract 1 from both sides
0.0717734625 = r
r = 7.18%
What segment has a length of 10 units?
(3,4) to (30,40)
(0,0) to (10,10)
(-1,-2) to (9,-2)
(-2,8) to (-3,7)
In the LifeSmarts event, students compete
Answer:
in pairs
Step-by-step explanation:
i just took the quiz
Overnight, a pipe cracked and started to leak into a basementThe graph shows the depth of the water in relation to time
A.) How many inches does the water rise each hour?
B.) How deep is the water after four hours?
C.) How long will take for the water to reach a depth of 80 inches?
Answer:
Each hour the water will rise 10 in. After 4 hours the water will be 40 in deep. It will take 8 hours for the water to reach a depth of 80 in.
a triangle having no side congruent is called
Answer:
A triangle without any congruent sides or angles is called a scalene triangle. When two triangles are congruent it means that they have the same size and shape.
Step-by-step explanation:
A triangle having no side congruent is called is called Scalene triangle.
We have a triangle having no side congruent.
We have to identify the name of this triangle.
What is a Triangle ?A triangle is a plane figure with three straight sides and three angles.
According to question, we have -
A triangle with no side congruent. If all the three sides of a triangle are of same length then it is called congruent triangle. It is also called Equilateral triangle. Similarly, a triangle with none of its sides equal or congruent is called a Scalene triangle.
Hence, a triangle having no side congruent is called is called Scalene triangle.
To solve more questions on Scalene triangle , visit the link below -
https://brainly.com/question/10651823
#SPJ6
49 T
th
47 Pansy opens a savings account. She uses the
equation: y = $25x + $500 to help her keep track
of her savings, where y is the amount of money
in her account and x is the number of weeks.
Which statement is TRUE?
A. Pansy invests $500 per week.
B. Pansy started her savings account with $25.
C. Pansy plans on investing $100 every 4 weeks.
D. Pansy will take $25 per week from her account
ОО
48 The table below shows the results of a survey on
music listening preferences.
Wh
A.
Answer: D. Pansy will take $25 per week from her account
Step-by-step explanation:
Based on the information given in the question, the true statement is that Pansy will take $25 per week from her account. This is represented by $25x.
For example, if the number of weeks that he used is 8 weeks. The amount in the savings account will be:
y = $25x + $500
y = $25(8) + $500
y = $200 + $500
y = $700
Ill put in 15 for this one. Easy.
Answer: D.
Step-by-step explanation: You can't have 2 y of the same y axis numbers in a function and A isn't correct because it doesn't go in order.
A spinner has two colored regions — purple and orange — and is divided in such a way so that the probability that the spinner lands on purple is 0.9. Suppose we spin the spinner 12 times and let X = the number of times it lands in the purple region.
Calculate the mean and standard deviation of X. Round to 4 decimal places, when necessary.
μx =
σx =
Answer:
The answer is "32 and 4.6648".
Step-by-step explanation:
binomial distribution of x
probability of sucess[tex](P)=32\%=0.32[/tex]
randomly selected number by giraffes [tex]n=100[/tex]
now
[tex]\mu_x=np\\\\[/tex]
[tex]=(100)(0.32)\\\\=32\\\\[/tex]
[tex]\Sigma_x=\sqrt{np(1-p)}[/tex]
[tex]=\sqrt{100(0.32)(1-0.32)}\\\\=\sqrt{21.76}\\\\= 4.664761\\\\=4.6648[/tex]
Answer:
10.8
1.0392
Step-by-step explanation:
for the shape of the probability histogran it is D) Skewed left
Pick all the names for this shape. Sides that appear to be parallel are parallel
A. Parallelogram
B. Rectangle
C. Trapezoid
D. Quadrilateral
Answer:
I would say a parrallelogram
Step-by-step explanation:
solve this: -4x-2<=10
Answer:
x ≥ -3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
-4x - 2 ≤ 10
Step 2: Solve for x
[Addition Property of Equality] Add 2 on both sides: -4x ≤ 12[Division Property of Equality] Divide -4 on both sides: x ≥ -3Here we see that any number x greater than or equal to -3 would work as a solution to the inequality.
Which statements are true about the following regular polygon? Check all that apply.
A polygon with 6 sides.
All of the interior angles are acute.
All of the interior angles are obtuse.
The sum of the interior angles is 720°.
The polygon can be divided into three triangles.
Each interior angle measures 120°.
The sum of two interior angles have the same measure as a straight angle.
Answer: B,C, and E 100% on edge 2021
Step-by-step explanation:
sorry for the delayed response xx. Goodluck everyone on your finals.
HElp Me please i will give brainlist due in 30 MINUTES
I NEED HELP! I HAVE A TEST TOMORROW AND I NEVER PAYED ATTENTION!!! Whats the variable next to the number?? Like 2c or 6y
Answer:
It means you multiply the number by that variable.
Step-by-step explanation:
This is used to shorten the equation with a variable. For example, 2c means 2 times c. 6y means 6 times y.
Determine the volume of the rectangular prism.
Answer:
30/7 x 1/3 = 1 3/7 cm^3
4.Maria tossed a coin three times. She wrote
a list of her possible outcomes. How many
outcomes on her list had at least one Tail?
A. 1
B. 3
C. 7
D. 8
Answer:
(a) 1
Step-by-step explanation:
In each outcome triplet, each flip has a chance to be H or T. Thus, the following describes all the possible outcomes:
HHHHHTHTHHTTTHHTHTTTHTTTWe see that the only option without one tail is the first one, HHH, so the answer is (a) 1.
Select the correct answer.
Which equation represents a function?
Answer:
D
Step-by-step explanation:
What is the intermediate step in the form (x + a)2 = b as a result of completing the
square for the following equation?
x2 – 14 = 2x – 14
Answer:
y=(x-1)^2 -1
Step-by-step explanation:
If you put it in the form (x-a)^2=b
The answer will be (x-1)^2=1
Find the vertices of the hyperbola. Enter the smallest coordinate first.
Answer:
([-3], [0]), ([3], [0])
Step-by-step explanation:
The given equation of the hyperbola is presented as follows;
[tex]\dfrac{x^2}{9} - \dfrac{y^2}{49} = 1[/tex]
The vertices of an hyperbola (of the form) [tex]\dfrac{x^2}{a^2} - \dfrac{y^2}{b^2} = 1[/tex] are (± a, 0)
The given hyperbola can we presented in a similar form as follows;
[tex]\dfrac{x^2}{9} - \dfrac{y^2}{49} = \dfrac{x^2}{3^2} - \dfrac{y^2}{7^2} = 1[/tex]
Therefore, by comparison, the vertices of the parabola are (± 3, 0), which gives;
The vertices of the parabola are ([-3], [0]), ([3], [0]).
Chuck has 20 pieces of candy in a bag: 8 mint sticks, 2 jelly treats, and 10 fruit tart chews. If he eats one piece every 10 minutes, what is the probability his first two pieces will both be mint sticks?
Which is greater |-2| or-2
To Find :
Which is the greater |-2| or -2 .
Solution :
Value of |x| for any value of x ( real number ) is always positive .
[tex]|x| = \left \{ {x , \ for \ x >= 0 \atop { -x, \ for \ x < 0 }} \right.[/tex]
So, |-2| = 2 > -2
Therefore, the value of |-2| is greater than -2 .
Hence, this is the required solution.
plz plz answer this 11 points :)
Answer:
A: 2.9 x $4.25 = 12.325 or 12.33
B: 1.6 x $5.15 = $8.24
$12.33 + $8.24 = $20.57
Step-by-step explanation:
3x+3(x+y)3, x, plus, 3, left parenthesis, x, plus, y, right parenthesis
Answer: =12x+9y
Step-by-step explanation: Hope this help :D
Which of these tables represents a linear function?
A tailor needs to make uniforms for 32 students from a piece of cloth. If the length of that piece 45 3/4m and each student requires 1 1/8m, calculate the length of cloth that would be left
Answer:
uniform for 1 student = 1 1/8 = 9/8
uniform 32 students = 32 x 9/8 = 36m
Total cloth = 45 3/4 = 183/4 = 45.75m
Cloth left = 45.75 - 36 = 9.75m i hope that helps
6. What would be the new coordinates
of point B if it was reflected across the
y-axis?
с
Answer:
(2, -4)Step-by-step explanation:
The rule for the reflection across the y-axis:
(x, y) → (-x, y)Coordinates of B is (-2, -4)
New coordinates of B:
(-2, -4) → (2, -4)Rule
(x,y)=(-x,y)
So
Old coordinate is (-2,-4)
New one
(-(-2),-4)(2,-4)At a high school, 9 students volunteer for a committee. How many different 4 -person committees can be chosen?
Answer:
126 ways
Step-by-step explanation:
Total number of persons = 9
Number of commitees to be chosen = 4
Since, there is no order in the selection process, we use combination.
Choosing a committee of 4 from 9 will be :
9C4.
Recall :
nCr = n! / (n-r)!r!
9C4 = 9! / 5!4!
9C4 = (9*8*7*6) / (4*3*2*1) = 3024 / 24 = 126 ways
Please help me I will give branliest! Find the two missing sides and write your answer as in simplified radical form. image attached
Answer:
x = y = 15[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Using the sine ratio and the exact value
sin45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{30}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )
2x = 30[tex]\sqrt{2}[/tex] ( divide both sides by 2 )
x = 15[tex]\sqrt{2}[/tex]
The triangle is isosceles (45- 45- 90) , then 2 legs are congruent, so
y = x = 15[tex]\sqrt{2}[/tex]
Length = 9 in ; width = 7 in ; height 5 in
What’s the volume?
NEED NOW!
G(x)=3/x find g'(x) a) by using the quotient rule: b) by first rewriting the expression using exponents and then differentiating.
Answer:
a) The quotient rule is:
if: f(x) = 1/g(x)
Then:
[tex]f'(x) = -\frac{1}{(g(x))^2}*g'(x)[/tex]
In this case, we have:
G(x) = 1/x
Then we can write this as:
G(x) = 1/h(x) with h(x) = x, and h'(x) = 1
Using the above rule we get:
G'(x) = -(1/h(x)^2)*h'(x) = -1/x^2
b) For a function like:
f(x) = x^n
we have that:
[tex]f'(x) = n*x^{n - 1}[/tex]
Here we can write G(x) = x^-1
Then we have n = -1
If we use the above rule, we get:
[tex]G'(x) = (-1)*x^{-1-1} = -1*x^{-2} = \frac{-1}{x^2}[/tex]
So we got the same result using both methods.
Re-write the quadratic function below in Standard Form
y = -4(x – 7)(x - 1)
Step-by-step explanation:
y = -4(x – 7)(x - 1)
= -4(x²-8x+7)
= -4x²+32x-28
Vikram has a bucket of three different racquetballs, one blue, one black, and one red. He wants to test each ball to see how well they bounce. He reaches into the bucket and removes one ball without looking. He hits the ball against the wall, catches it, and then drops it back into the bucket. He repeats this process twice more, each time choosing a ball without looking.
Part A:
What is the probability that Vikram hits the blue ball, then the black ball, and then the red ball?
Answer:
Part B:
If Vikram does not drop the balls back into the bucket after he hits them, what is the probability that Vikram hits the blue ball, then the black ball, and then the red ball?
Answer:
Answer:
A) 33.3%
B) 50 %
Step-by-step explanation:
A) if there are 3 balls always in the bucket you need to see what one balk represent one ball is 1÷3 which is 0.33 so by knowing that if Vikram drops the ball back into the bucket after the hit there would be a 33 % chance he will chose the same or a different ball in order.
B)if he won't put the ball back in the bucket there will be only 2 balls felt so 1÷2 = 0.5 so there is a 50 % chance of Victor getting the balls in the correct order