Answer:
[tex]A= P(1+\frac{r}{n})^{nt}[/tex]
P = 3750
r = 6.35% = 0.0635
n = 365
t = 9
[tex]A= 3750(1+\frac{0.0635}{365} )^{365*9}\\\\[/tex]
[tex]= 3750(1+\frac{0.0635}{365})^{3285} = 6640.63[/tex]
Answer = $6641
The probability that Gerald makes a three-point shot in basketball is 20\%20%20, percent. For practice, Gerald will regularly shoot a series of these shots until he succeeds at one. He's curious how many shots it will typically take him to get his first successful shot.
He simulated 404040 trials of three-point shots where each shot had a 0.20.20, point, 2 probability of being successful, and in each trial, he counted how many shots it took to get the first successful shot. Here are his results:
Use his results to estimate the probability that it takes 101010 or fewer shots to get his first successful shot.
Give your answer as either a fraction or a decimal.
Answer:
[tex]P(x \le 10) = 0.85[/tex]
Step-by-step explanation:
Given
See attachment for properly presented question
Required
[tex]P(x \le 10)[/tex]
From the question, we understand that he takes 40 shots (trials)
So:
[tex]n = 40[/tex]
From the attached plot, the number of attempts up to the 10th is:
[tex]x \le 10 = 9+6+5+4+4+2+2+0+1+1[/tex]
[tex]x \le 10 = 34[/tex]
So, we have:
[tex]P(x \le 10) = \frac{n(x \le 10)}{n}[/tex]
[tex]P(x \le 10) = \frac{34}{40}[/tex]
[tex]P(x \le 10) = 0.85[/tex]
Choose a number sentence is that illustrates distribute property of multiplication over addition 2×7+8 = 2+7×2+8
Answer:
[tex](b)\ 2 * (7 + 8) = (2 * 7) + (2 * 8)[/tex]
Step-by-step explanation:
Given
[tex](a)\ 2 * (7 + 8) = (2 + 7) * (2 + 8)[/tex]
[tex](b)\ 2 * (7 + 8) = (2 * 7) + (2 * 8)[/tex]
[tex](c)\ 2 * (7 + 8) = (2 * 7) + 8[/tex]
Required
Which illustrates distributive property of multiplication over addition
The property states that:
[tex]a(b + c) = a * b + a * c[/tex]
By comparison
[tex]a = 2\ b = 7\ c = 8[/tex]
So, we have"
[tex]2(7 + 8) = 2 * 7 + 2 * 8[/tex]
[tex]2(7 + 8) = (2 * 7) + (2 * 8)[/tex]
A marble started with 0.0018 J of Potential Energy and at some point later it has only 0.0011 J of Potential Energy. How much Kinetic Energy does the marble have?
Answer:
the Kinetic Energy of the marble at the later point is 0.0007 J
Step-by-step explanation:
Given;
initial potential energy of the marble, P.E₁ = 0.0018 J
final potential energy of the marble, P.E₂ = 0.0011 J
At the initial starting point, the total mechanical energy is;
M.E = K.E + P.E
at the initial starting point, velocity = 0
M.E = 0 + P.E
M.E = P.E = 0.0018 J
At some point later, the total mechanical energy is;
M.E = P.E + K.E
0.0018 J = 0.0011 J + K.E
0.0018 J - 0.0011 J = K.E
0.0007 J = K.E
Therefore, the Kinetic Energy of the marble at the later point is 0.0007 J
Solve the system of equations by graphing
Answer:
After 2 months, they will both have 14 video games
Step-by-step explanation:
1st month)
Christopher: 10 + 2 = 12
Peter: 20 - 3 = 17
2nd month)
Christopher: 12 + 2 = 14
Peter: 17 - 3 = 14
3.2x4.9-1.5 simplify
Answer:
14.18
Step-by-step explanation:
3.2*4.9= 15.68
15.68 -1.5 = 14.18
the table describes some of the solutions of the inequality 3m>21. Which graph best describes the solutions of 3m>21?
Answer:
Option 3
Step-by-step explanation:
Given inequality is,
[tex]3m\geq 21[/tex]
To find the solutions of the given inequality solve this inequality first.
[tex]\frac{3m}{3}\geq \frac{21}{3}[/tex]
[tex]m\geq 7[/tex]
This inequality will be represented by an arrow starting from 7 and directing towards infinity.
Since, inequality is having a sign notation of greater than equal to, arrow will start with a dark circle located at 7.
Therefore, Option 3 (from the top) will be the answer.
h(x) = 18.75 - 4.53x What is the value of h(−11)?
Answer:
h(-11) = 68.57
Step-by-step explanation:
h(x) = 18.75 - 4.53x
h(-11) = 18.75 - 4.53(-11)
h(-11) = 18.74 + 49.83
h(-11) =:68.57
its math algebra 1 i need help
Answer:
The 3rd one which is C
Step-by-step explanation:
It's the 3rd one because if you look at the orange like where the 2 and the 4 is you will see the orange line is between them two which that's where the 3 will go and the others don't have that, so it C hope this helps you!
NEED HELP ASAP ON TIMED TEST!
Henry is painting a house. He placed a 24 foot ladder 15 feet away from the base of the house so that it leaned up against the house.
Enter the measure of the angle that is formed between the ladder and the ground, rounded to the nearest tenth.
Answer:
51.3 degrees
Step-by-step explanation:
Use Trig Ratio to solve for theta aka the angle formed between the ;adder and the ground.
So we have the hypotenuse = 24ft and the adjacent = 15ft so I am going to use the cos ratio.
cos ∅ = a/h
rearrange for theta
∅ = cos -1 ( a/h)
now sub in the information
∅ = 51.3178
now round to the nearest tenth
∅ = 51.3 degrees
write your therefore statement
therefore, the angle between the ladder and the ground is 51.3 degrees.
What is the volume of hemisphere with a radius of 8 ft rounded to the nearest tenth of cubic foot
Answer:
1072.3[tex]ft^{3}[/tex]
Step-by-step explanation:
A hemisphere is half of a sphere, so the volume V of the hemisphere is the volume of the sphere divided by 2.
V = (2/3)*[tex]\pi[/tex][tex]r^{3}[/tex]
= (2/3)*[tex]\pi[/tex][tex](8ft)^{3}[/tex]
= (2/3)*[tex]\pi[/tex]*512[tex]ft^{3}[/tex]
= 1072.3[tex]ft^{3}[/tex]
Find the distance between the points given.
(-1, -1) and (1, 3)
√5
√(17)
2√5
Answer:
2√5
Step-by-step explanation:
d = √(x2 - x1)² + (y2 - y1)²
= √[1 - (-1)]² + [3 - (-1)]
= √(2)² + (4)²
= √(4) + (16)
= √20
= 2√5
A cylinder has radius 3 meters. Its volume is 141.3 cubic meters. Find its height to the nearest tenth
of a meter.
Answer:
Height = 5meters
Step-by-step explanation:
Using the formula h= v over 3.14r^2 = 141.3 over 3.14 times 3^2 gives us 4.99747 meters.
Help plzzzz I need the correct answers ASAP and that's my last marking period 4 and I'm in grade 12th
It's homework: Comprehension Questions - 3.1 Credit Basics:
Question 10: it's part 1 multiple choice questions and Part II: Analyze: Understanding Amortization
Janet just graduated from college, has a job she’s scheduled to begin in 3 months, and has decided to treat herself to 6 weeks of travel across South America before she buckles down and starts working full-time. To do the trip, she’s thinking of applying for a personal loan of $3500, and the bank she uses for her checking and savings account has offered her an interest rate of 24%. She has a goal of paying off the trip within two years, so she uses a Bankrate.com loan calculator and gets the following amortization schedule:
4) How many months does it take Janet to pay off her loan?
5) What is the total amount of interest Janet will pay at the end of the loan?
Answer:
try c
Step-by-step explanation:
What is the value of x in the equation 2x + 3y = 36, when y = 6? A. 8 B. 9 C. 27 D. 36
Answer:
x = 9
Step-by-step explanation:
When y = 6 :
2x + 3y = 36
2x + 3(6) = 36
2x + 18 = 36
2x = 36 - 18
2x = 18
x = 9
PLZ i need a lot of help with this question giving brainliest
Answer:
it is x3-5
Step-by-step explanation:
start by multiplying linth times with times hight
If /\PQR~/\SQT, find the value of x.
Answer:
[tex] \frac{x + 13}{8} = \frac{21}{x - 9} \\ {x}^{2} + 4x - 117 = 168 \\ {x}^{2} + 4x - 285 = 0 \\ (x - 15)(x + 19) = 0 \\ x = 15 \\ x = - 19[/tex]
I"m actually begging you to help
Answer:
(Square, Right Triangle)
18 meters²
Step-by-step explanation:
You can divide the shape into a square and right triangle, see the attachment :)
The area of the square is the length times the width. So,
3 · 3 = 9
The area of the square is 9 m².
The triangle's area is the base times the height divided by 2. So,
6 · 3 = 18
18 / 2 = 9
The triangle has an area of 9 m².
Add these together.
9 + 9 = 18
The area is 18 meters².
5y + 8 = -18
5y + 2x = 58
Answer:
y=-26/5
x=29−5y/2
Step-by-step explanation:
can someone teach me how to solve for surface area of a rectangular prism or something that looks like this i have a huge test tmr and i have so much anxiety….
Answer:
52 meters squared
Step-by-step explanation:
Hey, don't worry you'll do great on the test. Just relax before it and you'll be fine.
Basically, you need to find the area of each rectangle which isn't too hard. AS you can see, the first one 4 m x 5m = 12 m which is your first number. Then you can see another red rectangle. Since it's a net, the 4m side length would be the same and the other one is labeled 3 m. So, 4x3 = 12m. That's your second one. Then you see a yellow rectangle on the far left. Since we know the red rectangle has one side length of 3m, we can apply that to the yellow ones as well since it's a net. So 2x3=6 and same for the other yellow rectangle. Then, we see the purple rectangle on the top which has one length of 2m. But, the red rectangle below it had a length of 4m so we can bring that to this as well. so 2x4 = 8m (another number). Then, finally, the last rectangle below has one side of 4m and the yellow rectangle (remember) above has one side length of 2m (which we would bring down). So, 4x2=8m. So, we add them all together. 12+12+8+8+6+6 = 52 meters squared (dont forget units!)
Sorry if this was too long, but an edit: if you notice all the same colored rectangles have the same area, since it's a rectangular prism. so if you find one of the same color, you basically have the other one as well.
Good luck on your test, hope you do well!!
a centre seat costs 25£ less than an aisle or window seat. A window or aisle seat costs a and a centre seat costs £271.complete the equation that describes this. how much does an aisle or window costs?
Answer:
246
Step-by-step explanation:
271-25=246
Mrs. McClure's famous peanut butter cookies call for 1 cup of peanut butter for every 1 2 of a cup of oil. Today, she wants to make a huge batch with 1 cup of oil. How much peanut butter should she use?
Answer:
Amount of butter need for 1 cup of oil = 2 cup of butter
Step-by-step explanation:
Given:
Amount of butter need for 1/2 cup of oil = 1 cup
Find:
Amount of butter need for 1 cup of oil
Computation:
Amount of butter need for 1/2 cup of oil = 1 cup
1 cup butter = 1/2 cup oil
So,
Amount of butter need for 1 cup of oil = 1 / [1/2]
Amount of butter need for 1 cup of oil = 1 / [0.5]
Amount of butter need for 1 cup of oil = 2 cup of butter
I need to turn this in ASAP please help!-
In the last three years, Frederico's basketball team won 50 more games than they lost. If they won 130 games, what was the ratio of wins to losses? Write the ratio in all three forms. 13/8, 13 to 8, 13:8 13/18. 13 to 18. 13:18 5/13, 5 to 13, 5:13 13/5. 13 to 5, 13:5
Answer:
13/8, 13 to 8, 13:8
Step-by-step explanation:
if they won 50 more than they lost and won a total of 130 games, this means they lost 80 games (130-50=80). we can then write this as 130:80, which simplifies to 13:8
Answer:
The answers are 13/8, 13 to 8, 13:8.
Step-by-step explanation:
Since Frederico's team won 50 more games than they lost, and the won 130 games, then you would subtract the two numbers to find their losses:
130 - 50 = 80
The ratio of there wins to losses is 130 to 80.
Then you need to simplify this answer, which would make the ratio 13 to 8.
Three ways to write this are 13/8, 13 to 8, 13:8.
It would be ABSOLUTLEY FANTABULOUS if I could get brainliest!!!!
PLEASE HELP ASAP I have no idea how to solve this pls pls pls
Answer:
Step-by-step explanation:
you have to use trigonometric functions
cos 30 = adj. /hyp.
cos 30 = 12 / y
y = 12/cos 30 ≅13.86
tan 30 = opp./adj
tan30 = x / 12
x = 12 tan30 ≅6.93
Hello! Would appreciate help!!
Find the value of x. Round to the
nearest tenth.
Answer:
17.14
Step-by-step explanation:
tan 35 = 12/x
x = 12/ tan 35
= 17.14
I need help!!!!!!!!!?
= 1 cubic ft
What is the volume of the solid figure? Enter the answer in the box.
Answer:
800
hope this helps
Find the area of the figure.
Answer:
132
Explanation:
All you need to do is separately find the area of the shapes that are part of the figure (in this case the trapezoid and rectangle), and then add them all up.
1.(7x4) + (1/2x8[7+19])
2. 28 + 104
3. 132
~Hope this helps you~
The diameter of a circle measures 20 yd. What is the circumference of the circle?
Use 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.
20 yd
yd
Answer: 62.8 yd
Step-by-step explanation:
Circumference= diameter*pi
20*3.14= 62.8
Convert 100° to radians. Will mark brainlist if correct
A company logo is shaped like an equilateral triangle with 6-inch long sides. What is the height of the logo? Round to the nearest tenth.
Answer:
5.2 in
Step-by-step explanation:
An equilateral triangle is a triangle with 3 equal sides
Divide the equilateral triangle into two congruent triangles and use Pythagoras theorem to find the height
The Pythagoras theorem : a² + b² = c²
where a = height
b = base = 6 in / 2 = 3 in
c = hypotenuse = 6 in
6² = 3² + h²
h = 36 - 9 = 27
√27 = 5.196 inch
to the nearest tenth = 5.2 in
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero