Answer:
Option B. 3 years.
Step-by-step explanation:
Sylvio loaned a friend $1,500 at a simple annual interest rate of 5%.
Formula of simple interest = I = P(rt)
I = Interest ($225)
P = Principal amount ( $1,500)
r = 5% = 0.05
t = time ( ? )
Now put the values to find the years.
225 = 1500( 0.05t)
225 = 75t
75t = 225
t =
t = 3
It will take 3 years to repay him if Sylvio earned $225 in interest.
which of the choice below follows exponential pattern
division of skill cells every half hour
small of graph of y=x2
y=4x3x2
Answer:
Step-by-step explanation:
Which of the following fractions is written in its simplest form? 22/33 18/27 13/25 42/81 please answer soon this was due today
Answer:
I think its 13/35 it cant be divided
2. I earned $9. I bought 4 candy bars for $0.85 each. How much money do I
have left? *
A. $5.60
B. $8.15
C. $9.85
D. $12.40
Answer:
A
Step-by-step explanation:
4 x $0.85= $3.40
$9-$3.40= $5.60
Answer:
A. $5.60
Step-by-step explanation:
4x0.85 =3.4 and 9 -3.4 = 5.6
There are 3.9 milligrams of calcium in a ½ ounce of cooked chicken. How many milligrams are in 6 ounces?
Answer:
there are 46.80 milligrams in 6 ounces.
Step-by-step explanation:
If the simple interest on $3000 for 3 years is $720 , then what is the interest rate?
Answer:
8%
Step-by-step explanation:
Starting Principal: $
3,000.00
Years:
3
Annual Interest Rate:
8
%
Results
Future Value, using...
Simple Interest: $
3,720.00
Annually Compounded Interest: $
3,779.14
Can someone help me find the area of the triangle
please!!!
Answer:
18
Step-by-step explanation:
There are 3,785 milliliters in 1 gallon, and there are 4 quarts in 1 gallon.
How many milliliters are in 3 gallons?
Answer:11,356
Step-by-step explanation: that is the answer! I’m sure
Answer:11.355
Step-by-step explanation:
What is the value of Cosine (StartFraction x Over 2 EndFraction) if tangent x = one-half and x is in quadrant III?
[tex] - \sqrt{ \frac{5 - 2 \sqrt{5} }{10} } [/tex]
Answer:
a
Step-by-step explanation:
on edge
help :((
Provide a small explanation if possible!!
Answer:
r = 24
Step-by-step explanation:
Just reverse everything,
3 x 16 = 48,
48 ÷ 2 = 24,
to double-check,
if you plug in 24 for r then you have,
2(24)/3 = 16
48/3 = 16
16 = 16
Suppose that Y has density function
f(y) = ky(1 − y) if 0 ≤ y ≤ 1 0, elsewhere
A) Find the value of k that makes f (y) a probability density function.
B) Find P(Y ≤ .4|Y ≤ .8).
C) Find the .95-quantile, i.e., find a point φ.95 such that P(Y ≤ φ.95) = .95.
I'm assuming
[tex]f(y)=\begin{cases}ky(1-y)&\text{for }0\le y\le1\\0&\text{otherwise}\end{cases}[/tex]
(a) f(x) is a valid probability density function if its integral over the support is 1:
[tex]\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx=k\int_0^1 y(1-y)\,\mathrm dy=k\int_0^1(y-y^2)\,\mathrm dy=1[/tex]
Compute the integral:
[tex]\displaystyle\int_0^1(y-y^2)\,\mathrm dy=\left(\frac{y^2}2-\frac{y^3}3\right)\bigg|_0^1=\frac12-\frac13=\frac16[/tex]
So we have
k / 6 = 1 → k = 6
(b) By definition of conditional probability,
P(Y ≤ 0.4 | Y ≤ 0.8) = P(Y ≤ 0.4 and Y ≤ 0.8) / P(Y ≤ 0.8)
P(Y ≤ 0.4 | Y ≤ 0.8) = P(Y ≤ 0.4) / P(Y ≤ 0.8)
It makes sense to derive the cumulative distribution function (CDF) for the rest of the problem, since F(y) = P(Y ≤ y).
We have
[tex]\displaystyle F(y)=\int_{-\infty}^y f(t)\,\mathrm dt=\int_0^y6t(1-t)\,\mathrm dt=\begin{cases}0&\text{for }y<0\\3y^2-2y^3&\text{for }0\le y<1\\1&\text{for }y\ge1\end{cases}[/tex]
Then
P(Y ≤ 0.4) = F (0.4) = 0.352
P(Y ≤ 0.8) = F (0.8) = 0.896
and so
P(Y ≤ 0.4 | Y ≤ 0.8) = 0.352 / 0.896 ≈ 0.393
(c) The 0.95 quantile is the value φ such that
P(Y ≤ φ) = 0.95
In terms of the integral definition of the CDF, we have solve for φ such that
[tex]\displaystyle\int_{-\infty}^\varphi f(y)\,\mathrm dy=0.95[/tex]
We have
[tex]\displaystyle\int_{-\infty}^\varphi f(y)\,\mathrm dy=\int_0^\varphi 6y(1-y)\,\mathrm dy=(3y^2-2y^3)\bigg|_0^\varphi = 0.95[/tex]
which reduces to the cubic
3φ² - 2φ³ = 0.95
Use a calculator to solve this and find that φ ≈ 0.865.
Using probability concepts, it is found that
a) The value is k = 6.
b) P(Y ≤ .4|Y ≤ .8) = 0.554.
c) The 95th percentile is x = 0.86465.
The density function is:
[tex]f(y) = ky(1 - y)[/tex]
Item a:
The condition that makes it a probability density function is:
[tex]\int_0^1 f(y) dy = 1[/tex]
Thus:
[tex]\int_0^1 f(y) dy = \int_0^1 ky - ky^2 dy[/tex]
[tex]\int_0^1 f(y) dy = k(\frac{y^2}{2} - \frac{y^3}{3})|_{y = 0}^{y = 1}[/tex]
[tex]\int_0^1 f(y) dy = k(\frac{1}{2} - \frac{1}{3})[/tex]
Then
[tex]k(\frac{1}{2} - \frac{1}{3}) = 1[/tex]
[tex]k(\frac{3-2}{6}) = 1[/tex]
[tex]k = 6[/tex]
The value is k = 6.
Item b:
This probability is:
[tex]\int_0.4^0.8 f(y) dy = 6(\frac{y^2}{2} - \frac{y^3}{3})|_{y = 0.4}^{y = 0.8}[/tex]
Then
[tex]p = 6\left(\frac{0.8^2}{2} - \frac{0.8^3}{3} - \frac{0.4^2}{2} + \frac{0.4^3}{3}\right)[/tex]
[tex]p = 0.554[/tex]
Thus, P(Y ≤ .4|Y ≤ .8) = 0.554.
Item c:
This is x for which:
[tex]\int_0^x f(y) dy = 0.95[/tex]
Thus:
[tex]6(\frac{x^2}{2} - \frac{x^3}{3}) = 0.95[/tex]
[tex]-2x^3 + 3x^2 - 0.95 = 0[/tex]
Solving a cubic equation with the help of a calculator, and considering [tex]0 \leq x \leq 1[/tex], this is x = 0.86465.
A similar problem is given at https://brainly.com/question/22223588
Please help will put brainliest
Answer:
(1,-5)
Step-by-step explanation:
Brainliest
120 passengers in 4 buses = passengers per bus
Answer:
30
Step-by-step explanation:
120/4
Answer:
30
Step-by-step explanation:
Just divide 120 with 4
Hope this helps!!!!!!
160% of 19 what number is. if you answer for First you Will have brainliest
Answer:
edit: I read that wrong, sorry.
160% of 19 = 30.4
Today, 6 friends went out for lunch. Their total bill was $28.86, including tax and gratuity. They decided to split the bill equally and each paid with a $10 bill. How much money will each person get back?
Answer:
5.19
Step-by-step explanation:
first do 28.86 / 6 to find out how much each paid. then subtract that number (4.81) from 10
Answer - Every Person should get $5.19
Step-by-step explanation:
what i did is 6 x 10 = 60 then 60 - 28.86 = 31.14 / 6 = 5.19 Your welcome.
9. Solve the equation.
4(6 – x) + 4 = 2 (3x + 1) – 6
Answer:
x=3.2
Step-by-step explanation:
4(6 – x) + 4 = 2 (3x + 1) – 6
24 - 4x + 4 = 6x + 2 - 6
28 - 4x = 6x -4
-4x - 6x = - 4 - 28
-10x = - 32
divide both sides
x = 16/5 or x = 3.2
hope this helps :)
PLEASE IM BEGGING YOU please answer i’ll do anything i need in 10 minutes please
Answer:
1. 2.
-3, 4 -3, 2
-1, 2 0, 1
0, 1 3, 0
4, -3 6, -1
Step-by-step explanation:
50 POINTS PLS HELP!!!!
Quadrilateral EFGH was dilated by a scale factor of 2 from the center (1, 0) to create E'F'G'H'. Which characteristic of dilations compares segment F'H' to segment FH?
A: A segment that passes through the center of dilation in the pre-image continues to pass through the center of dilation in the image.
B: A segment that does not pass through the center of dilation in the pre-image is parallel to its corresponding segment in the image.
C: A segment in the image has the same length as its corresponding segment in the pre-image.
D: A segment that does not pass through the center of dilation in the pre-image is perpendicular to its corresponding segment in the image.
Answer:
Answer choice C.
Step-by-step explanation:
Simplify the following expression (-8)-(-6)
it given that f (x) =xsquared 2+3x+2 find f(0) the value of x for which f (x)=0 help me to solve the question pls
Answer:
f(x) = 0 on x= -1 and x = -2
Step-by-step explanation:
Given function is:
[tex]f(x) = x^2+3x+2[/tex]
In order to find the value of x on which the function will have value zero we have to factorize the function and find zeroes of the function. The method used will be factorization of polynomial as the function is in polynomial form.
So,
[tex]x^2+3x+2\\=x^2+2x+x+2\\=x(x+2)+1(x+2)\\=(x+1)(x+2)[/tex]
To find the zeroes, putting the function = 0
[tex]f(x) = 0\\(x+1)(x+2) = 0\\x+1 = 0\\x = -1\\x+2 = 0\\x= -2[/tex]
Hence,
f(x) = 0 on x= -1 and x = -2
When full, a cinema house has n people. When 280 people have taken seat the remaining seats comes to $384 if each tickets cost $1.20 find the number of seats in the cinema house?
Answer: 600 seats
Step-by-step explanation:
384/$1.20 = 320 seats
N - 280 = 320
+280. +280
N = 600
The total number of seats in the cinema house will be 600 seats.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
When full, a cinema house has n people. When 280 people have taken a seat the remaining seats come to $384 if each ticket cost $1.20.
Then the total number of seats in the cinema house will be given as,
⇒ 280 + $384 / $1.20
⇒ 280 + 320
⇒ 600 seats
The total number of seats in the cinema house will be 600 seats.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5
Frank ordered a set of beads. He received 70 beads in all. 21 of the beads were green. What percentage of the beads were green?
Simplify the expression. Use positive exponents.
a14b−7c0
A. a√4b7
B. a14∙1b7
C. a14b7
D. a14b−7
Answer:
Idrk
Step-by-step explanation:
I WILL GIVE BRIANLEIST PLZ SOLVE I WILL ALSO GIVE 800 robux slove for line ad BC = 6 cm
Answer:
20 to 25 cm. Hope this helps. Tell me if i'm right or wrong. Can I have brainliest if I am right?
Step-by-step explanation:
Answer:
20 to 25 cm give that robux boi
Step-by-step explanation:
The GCF of 15 and 27
You want to find the area of the front of a house, whose shape is a triangle on top of a rectangle with a width of 6. The
triangle's height is 9 and the rectangle's height is 6. What is the total area of the front of the house? Do not include square
units in your answer
Answer:
63
Step-by-step explanation:
A=(h(b)b)/2
A=w x l
What are all of the possible classifications for a 3 × 3 system? Check all of the boxes that apply.
consistent and dependent
consistent and independent
inconsistent and dependent
inconsistent and independent
Answer:
consistent and dependent
consistent and independent
inconsistent and independent
Step-by-step explanation:
Answer:
1
2
4
Step-by-step explanation:
has nice day
Factor the difference of cubes. Select prime if the polynomial cannot be factored
Answer:
(m-(1/3))(m^2+(1/3)m+(1/9)
Step-by-step explanation:
Just use the difference of cubes
if mrs. Rios washed 1/4 f her laundry and her son washed 2/5 so Who washed most of the laundry? How much of the laundry still needs to be washed?
Answer:
7/20 still needs to be washed.
Step-by-step explanation:
You will need to find the lowest common multiple and add the two fractions together and subtract that sum from 1. The 1 represents the total amount of laundry and the sum you will find represents the fraction of laundry that Mrs. Rios and her son have already washed combined.
1/4 + 2/5
= 5/20 + 8/20
= 13/20
1 - 13/20
= 20/20 - 13/20
= 7/20
Mrs. Rios son washed more clothes and her son washed 3/20 fraction of more clothes.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, If Mrs. Rios washed 1/4 f her laundry and her son washed 2/5.
Now, The LCM of 4 and 5 is 20.
So, Mrs. Rios washed (1×5)/20 = 5/20 and her son washed
2×4/20 = 8/20.
So, Her son washed more clothes and her son washed 8/20 - 5/20 = 3/20 fraction of more clothes.
learn more about fractions here :
https://brainly.com/question/10354322
#SPJ2
11. Use matrices to solve the system of equations below. Be sure to show [A] and [B].
(3a + 2b + c = 15
a-b4c = 23
4b – 2c = -16
Answer:
2a=-16
Step-by-step explanation:
all I could think of
V'W'X'Y' has vertices V^' (-3,2),W^' (5,1),X^' (0,4),and Y'(-2,0). If V'W'X'Y' is the image of VWXY rotated 90° around the origin. What are the coordinates of VWXY (the pre-image).
Given:
V'W'X'Y' has vertices V'(-3,2), W'(5,1), X'(0,4) and Y'(-2,0).
V'W'X'Y' is the image of VWXY rotated 90° around the origin.
To find:
The coordinates of VWXY (the pre-image).
Solution:
V'W'X'Y' is the image of VWXY rotated 90° around the origin. It means, the figure VWXY is rotated 90° counterclockwise around the origin.
So, if we rotate V'W'X'Y' 90° clockwise around the origin, then we get the original figure VWXY.
If a figure rotated 90° clockwise around the origin, then
[tex](x,y)\to (y,-x)[/tex]
[tex]V'(-3,2)\to V(2,3)[/tex]
[tex]W'(5,1)\to W(1,-5)[/tex]
[tex]X'(0,4)\to X(4,0)[/tex]
[tex]Y'(-2,0)\to Y(0,2)[/tex]
Therefore, the coordinates of preimage are V(2,3), W(1,-5), X(4,0) and Y(0,2).