Answer:
For 5 years $87
For 6 months $8.7
Step-by-step explanation:
To calculate the interests, we use the simple interest formula
Mathematically;
I = PRT/100
where P is the amount invested called the principal = $580
R is the rate = 3%
Time differs which may be 5 years or 6 months according to the question.
kindly note that 6 months is 0.5 year
For 5 years, we have
I = (580 * 3 * 5)/100 = $87
For 6 months, we have;
I = (580 * 3 * 0.5)/100 = $8.7
The cost of renting a community center is $100, with an additional cost of $10 per guest.
Which graph has the most appropriate scales and units for this situation?
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The number of guests is the independent variable and should be between 1 and 50. We can use a scale of 10's
The cost is the dependent variable and the minimum cost is 100 and should rise from there
The scale would be from 100 's
A sphere has a surface area equal to 125 square feet. Find the length of the diameter of the sphere. Round your answer to the nearest hundredth. Use 3.14 to approximate pi.
Answer:
Step-by-step explanation:
Surface area of sphere = 125 sq.ft
4πr² = 125
4*3.14*r² = 125
[tex]\sqrt{x} r^{2}=\frac{125}{4*3.14}\\\\r^{2}=9.95\\\\r=\sqrt{9.95}\\\\[/tex]
r = 3.15 ft
Answer:
631 feet
Step-by-step explanation:
125 square feet = 4 • pi • radius sqaured. Dividing the surface area by 4 and pi, and then taking the square root of that result, gives the correct radius of 3.155 feet. Doubling the radius gives the correct diameter of 6.31 feet.
Find the measure of arc FGH.
[tex]arc \: fgh = \: 238° \\ please \: see \: the \: attached \: picture \: for \\ full \: solution \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
Five state officials are listed to the right. a. List the 10 possible samples (without replacement) of size 3 that can be obtained from the population of five officials. Governor (Upper G) Lieutenant Governor (Upper L) Secretary of State (Upper S) Representative (Upper R) Press Secretary (Upper P) b. If a simple random sampling procedure is used to obtain a sample of three officials, what are the chances that it is the first sample on your list in part (a)? the second sample? the tenth sample? a. List all 10 possible samples (without replacement) of size 3. Use the letter abbreviation for each official.
Answer:
All possible are:
(G,L,S)
(G,L,R)
(G,L,P)
(G,S,R)
(G,S,P)
(G,R,P)
(L,S,R)
(L,S,P)
(S,R,P)
{L,R,P)
Probability of 1st/2nd/10th sample = 1/10
Step-by-step explanation:
All the possible combinations of the 3 size samples from a 5 size population have been listed without repetition.
Total Numbers of Samples = 10
To find the probability of finding the first sample from random sampling procedure,
Probability = Number of desired outcomes/ Total number of outcomes
Where Number of desired outcome is 1 and total number of outcomes is 10.
Probability = 1/10
Similarly, to find 2nd sample or 10th sample, the number of desired outcomes is same i.e 1, hecne the probability remains the same i.e 1/10
Possible samples:
(G,L), (G,S), (G,A), (G,P), (L,S), (S,A), (A,P), (L,P), (S,P), (A,L).
a) Given:
Population size [tex]N=5[/tex].
Sample size [tex]n=2[/tex]
Possible sample (without replacement)
[tex]\Rightarrow 5C_{2}=\frac{5!}{2!\times 3!}[/tex]
[tex]=\frac{5\times 4}{2}[/tex]
[tex]=10[/tex]
[tex]10 samples:-[/tex]
Governor, Lieutenant Governor, secretary of state, Attorney General, Press (P)
Possible samples:
(G,L), (G,S), (G,A), (G,P), (L,S), (S,A), (A,P), (L,P), (S,P), (A,L).
b) Event: [tex]E\to[/tex]choosing sample second and tenth.
[tex]E=\left\{\left ( G,S \right ),\left ( A,L \right ) \right\}\\n\left ( E \right )=2\\n(S) =10[/tex]
The Probability of that it is the first sample.
Second and tenth sample[tex]=\frac{n\left ( E \right )}{n(S)}[/tex]
[tex]=\frac{2}{10}[/tex]
[tex]=\frac{1}{5}[/tex]
Learn More: https://brainly.com/question/5123318
Which statement correctly describes the slope of the linear function that is represented by the data in the table?
Х
8
8
8
8
8
у
-8
4
0
4
8
O The slope is positive.
O The slope is negative.
O The slope is zero.
O There is no slope.
Answer:
there is no slope :)
Step-by-step explanation:
give the other person brainliest bc theyre swag
Calculate the length of a cuboid whose volume= 342 cubic cm , b= cm and h=9 cm
Answer.if breadth is 1 then length is 38 cm
v= l×b×h
342=l×1×9
342=9l
l=342/9
l=38
____________________________
Breadth=1 cm
Height=9cm
Volume=342cm^3
Length=?
Now,
Volume=l*b*h
or,342=l*1*9
or,342=9l
or,l=342/9
length=38 cm
So the length is 38 cm
Hope it helps
Good luck on your assignment.
_______________________________
3x2 + 5x - 7 = 0 is a quadratic equation.
True
False
Answer:
True
Step-by-step explanation:
Quadratic equations have the highest degree on x as 2. The given equation has 3x^2, meaning that it is quadratic.
what is the length of BC?please help!!!
Answer:
2.1
Step-by-step explanation:
using cosine theorem or substraction of two vector
b = AC = 5
c = AB = 6
a² = b² + c² - 2bc cos A
a² = 5² + 6² - 2*5*6 cos 20°
a² = 4.62
a = √4.62
a = 2.149
a ≈ 2.1
Which ordered pair makes both inequalities true? y x On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 1) and (1, 0). Everything below and to the left of the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 1) and (1, 1). Everything above and to the left of the line is shaded. (–3, 5) (–2, 2) (–1, –3) (0, –1)
Answer:
(-2, 2)
Step-by-step explanation:
Plotting the points on the graph can show you which is in the shaded area. That point is (-2, 2).
Answer:
(-2,2)
Step-by-step explanation:
if f(x)=x+7and g(x)=1/x-13, what is the domain of (f•g)(x)
Answer: 7x-90/x-13
Step-by-step explanation:
f(x)= x+7
g(x)=1/x-13
(f•g)(x)=1/x+13+7
1+7(x-13)/x-13
1+7x-91/x-13
7x-90/x-13
Answer:
(-∞, 0)∪(0, ∞)
Step-by-step explanation:
You are given the functions f(x) and g(x). Now, you have to find (f*g)(x). To do this, you have to multiply the two functions.
f(x) = x + 7
g(x) = 1/x - 13
(f*g)(x) = (x + 7)(1/x - 13)
(f*g)(x) = -13x + 7/x + 1 - 91
(f*g)(x) = -13x + 7/x - 90
The domain has to include all of the x-values that will produce a rational number. So, look at where the x's are locate
-13x: You could put any rational number into this value and still have a rational number.
7/x: For this value, you cannot have 0 as an x-value. Every other number is fine.
This means that the domain will be (-∞, 0)∪(0, ∞).
You use parentheses and not brackets for the zero side because you don't want to include zero in the domain, but you do want to include all of the other numbers around zero. There are no brackets on the infinity side because infinity isn't a number. The ∪ symbol is used to combine domains.
What is the value of x?
Answer:
x =40
Step-by-step explanation:
x and 4x-20 form a straight line which means they add to 180
x+4x-20 = 180
Combine like terms
5x -20 =180
Add 20 to each side
5x = 200
Divide by 5
5x/5 = 200/5
x =40
Answer:
it just looks confusing sry
Step-by-step explanation:
but im usually good at these but it just looks confusing on this one, but maybe it is A. idk sry good luck
factorise m²-14m+49
Answer:
(m-7[tex])^{2}[/tex]
Step-by-step explanation:
. (10 points) Based on pre-trial speculation, the probability that a jury returns a guilty verdict in a certain high-profile murder case is thought to be 15% if the defense can discredit the police department, and 80% if they cannot. Veteran court observers believe that the skilled defense attorneys have a 70% chance of convincing the jury that the police either contaminated or planted some evidence. What is the probabiliy that the jury returns a guilty verdict?
Answer:
34.5% probability that the jury returns a guilty verdict
Step-by-step explanation:
We have these following probabilities:
If the police can discredit the police department, 15% probability of a guilty verdict.
70% probability of the police department being discredited by the defense.
If the police can discredit the police department, 80% probability of a guilty verdict.
100 - 70 = 30% probability of the defense not discrediting the police.
What is the probability that the jury returns a guilty verdict?
15% of 70% and 80% of 30%. So
p = 0.15*0.7 + 0.8*0.3 = 0.345
34.5% probability that the jury returns a guilty verdict
£620 is divided between Malachy, Paul & Brian so that Malachy gets twice as much as Paul, and Paul gets three times as much as Brian. How much does Paul get?
Answer: Paul gets £186
Step-by-step explanation:
Paul has 1/2 as much as Malachy, and Brian has 1/3 as much Paul, therefore Brian has 1/6 as much as Malachy.
1/2 * 1/3 = 1/6
So Malachy’s amount equals 1 in this equation, Paul’s amount equals 1/2 in this equation, and Brian’s amount equals 1/6 in this equation.
1 + 1/2 + 1/6 = 1 + 3/6 + 1/6 = 1 4/6
Now, divide 620 by 1 4/6 to find Malachy’s amount.
620/1 4/6 = 372
Now, divde 372 by 2 to get Paul’s amount.
372/2 = 186
Share £90 in the ratio 1:5
Answer:
the answer is
Step-by-step explanation:
if we take a and b as two pupil to share the money,then a gets
$15 and b gets $75
sum of the ratio is=6
a =1/6×$90
=$15
b=5/6×$90
=$75
what is the volume of the cone using pi/3.14 using the numbers 2and 3
Answer:
V=π*r^(2)*h/3
Step-by-step explanation:
y=-3x + 6
y = 9
What is the solution to the systems of equations
Answer:
-1,9
Step-by-step explanation:
You use the equal values method to combine the two equations
-3x+6=9
then subtract 6 on both sides of the equal sign
nine minus six is 3
-3x=3
divide negative three on both sides to isolate the x value
to get....
x=-1
then plug the x value back in to find the y value
(you can plug in to one of them but I would plug into both of them just for double checking) ALWAYS CHECK YOUR WORK
3+6 is 9
9=9 check!
Answer:C -(-1,9)
Step-by-step explanation:
On a coordinate plane, a v-shaped line crosses the x-axis at (negative 2, 0), the y-axis at (0, negative 2), and the x-axis at (2, 0). What is the domain of the function on the graph? all real numbers all real numbers greater than or equal to –2 all real numbers greater than or equal to –5 all real numbers greater than or equal to 0
Answer:
Domain of the given function is all real numbers i.e. R.
Step-by-step explanation:
It is given that the given graph is a V shaped graph.
It is crossing x - axis at [tex](-2,0)[/tex]
then y-axis at [tex](0,-2)[/tex] and
then again x - axis at [tex](2,0)[/tex].
If we try to plot the graph, the graph will be like it comes down from the negative x axis side and then intersect x axis at [tex](-2,0)[/tex], then intersects y axis at [tex](0,-2)[/tex] and then rises towards the right side (i.e. positive x axis) intersecting the positive x axis at [tex](2,0)[/tex].
Please find attached graph for the same.
This graph denotes the following function:
[tex]y=f(x)=|x|-2[/tex]
Domain of a function [tex]y =f(x)[/tex] is the values of [tex]x[/tex] that can be provided to the function.
Here function is a modulus function and from graph we can easily infer that it can have any Real Number, R as its input.
Modulus function has R as its domain.
So, the answer is:
Domain of given function is all Real Numbers, R
Answer:
A on edg. all real numbers
Step-by-step explanation:
hanako goes to the movies with 2 friends.
They each buy a movie ticket. They will share
a large popcorn for $8. They spend a total of
$38. What is the price of 1 movie ticket?
tom paid $16 for 6 audio cassettes. Which proportion can be used to find the amount of money (m) he would pay for 9 audio cassettes
Answer:
Step-by-step explanation:
From the question, Tom paid $16 for 6 audio cassettes and we are told to find the proportion to get the amount of money (m) he would pay for 9 audio cassettes. To get this, we have to know the amount of the cost of 1 audio cassette. Since Tom paid $16 for 6 audio cassettes, 1 audio cassette will cost:
= $16/6
= $2.67
1 audio cassette will cost $2.67
The amount of money spent will depend on the number of audio cassettes. Therefore,
m = $2.67 × n
m = $2.67n
where n = number of audio cassette
The amount of money he'll pay for 9 cassette will be:
m = $2.67n
m = $2.67 × 9
m = $24.03
Traci is collecting donations for a dance marathon. One group of sponsors will donate $36 for each hour she dances. Another group of sponsors plans to donate $75 no matter how long she dances. Traci plans to dance until she has raised at least $1,200. Let h represent the number of hours that Traci dances. Write and solve an inequality to determine the minimum number of hours that Traci needs to dance in order to raise $1,200.
Answer:
36h + 75 < 1200
solve:
36h + 75 = 1200
36h = 1125
h = 1125 divided by 36 = 31.25.
Therefore, Traci has to dance a minimum of 31.25 hours to raise $1200
ANSWER THIS AND I WILL FRIEND YOU!!! What is x? 2x(3+4x) *2 -5
Answer:
Step-by-step explanation:
[tex]2*(3+4x) *2 -5\\6+8x*2-5\\16x =-6-5\\16x = -11\\x = 11/16[/tex]
Answer fast pleaseee, Solve the following system of equations: y= -5x +1 and y= -x-3
Answer:
x=1 y=-4
Step-by-step explanation:
Answer:
(1, - 4 )
Step-by-step explanation:
Given the 2 equations
y = - 5x + 1 → (1)
y = - x - 3 → (2)
Since both are expressed in terms of y, equate the right sides, that is
- x - 3 = - 5x + 1 ( add 5x to both sides )
4x - 3 = 1 ( add 3 to both sides )
4x = 4 ( divide both sides by 4 )
x = 1
Substitute x = 1 into either of the 2 equations and evaluate for y
Substituting into (2)
y = - 1 - 3 = - 4
Solution is (1, - 4 )
When Anna bought 10 cream puffs and ice creams, at $1.50 per
cream puff and $1.20 per ice cream, the total price was $13.80.
How many cream puffs and ice creams did she buy, respectively?
Answer:
6 cream puff and 4 ice creams
Step-by-step explanation:
i = ice cream
p = cream puff
p+i= 10
1.50p + 1.20 i = 13.80
Multiply the first equation by -1.2
-1.20p -1.20 i = -12.00
Add this to the second equation
1.50p + 1.20 i = 13.80
-1.20p -1.20 i = -12.00
----------------------------------
.3p = 1.80
Divide each side by .3
p =6
Now find i
p+i = 10
6+i= 10
i= 10-6 =4
Anyone know this ? Need help :(
Answer:
19
Step-by-step explanation:
We can multiply the exponents, giving us 19 ^ (1/9 * 9) = 19 ^ 1 = 19.
Answer:
19
Step-by-step explanation:
(19^1/9)^9
19^(1/9*9)
19^1
19
Help PLZZZ
Describe the change in the graph of the parabola f(x) when it transforms into g(x) = two thirdsf(x).
A The parabola g(x) will open in the opposite direction of f(x), and the parabola will be narrower than f(x).
BThe parabola g(x) will open in the same direction of f(x), and the parabola will be narrower than f(x).
CThe parabola g(x) will open in the opposite direction of f(x), and the parabola will be wider than f(x).
D The parabola g(x) will open in the same direction of f(x), and the parabola will be wider than f(x).
Answer:
The parabola g(x) will open in the same direction of f(x), and the parabola will be wider than f(x).
Step-by-step explanation:
Answer:
It's B.
Step-by-step explanation:
I took the test.
Yuri is thinking of a 4-digit whole number. He rounds his number to the nearest thousand. His answer is 4000, what is the smallest number yuri could be thinking of?
Answer:
Smallest number = 3500
Step-by-step explanation:
Rounding of numbers involve replacing numbers with simpler numbers. In order to round a number to the nearest thousand, the last 3 digits of the number should be considered. If the last 3 digits are less than 500, the number is rounded down(the thousand figure is unaffected), but if the last 3 digits are greater or equal to 500, the number is rounded up.
In this case, Yuri is thinking of a 4-digit whole number and he rounds his number to the nearest thousand. Since his answer is 4000, the smallest number yuri could be thinking of would be 3500 and the highest number he could be thinking of is 4499.
Thus, the smallest number Yuri could be thinking of is 3500
Carter has 143 songs pn a playlist. He's categorized them in the following manner: 7 classical, 19 rock, 29 hip hop, 16 gospel, 13 pop, 24
country, and 35 jazz. If Carter begins listening to his playlist on shuffle, what is the probability that the first song played is a rock song?
Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Plssss help
Answer:
19/ 143
Step-by-step explanation:
There are 19 rock songs out of 143 total
P(rock) = number of rock songs/ total
= 19/ 143
pls help me with my work
Answer:
I think it is c because the nth term is mostly 2n and 2n - 9 would use one if the terms.
Step-by-step explanation:
PLEASE HELP ME IM BAD AT GEO! URGENT
Answer:
SSS
Step-by-step explanation:
Given that the sides are equal and no angles are given
Answer:
A: SSS
Step-by-step explanation:
We already know 2 of the S's since it's given that AB is congruent to CD and BC is congruent to AD. To get the last "S" of "SSS," we know that BD and DB are congruent by the reflexive property. Knowing that these triangles are congruent using SSS, you can go on to prove what it's asking you to prove, but for this question, I'm pretty sure you just need to know to use SSS.