Answer:
Rounded to the nearest dollar, Robert will have $ 505 more than Cooper on his account.
Step-by-step explanation:
Given that Cooper invested $ 3,100 in an account paying an interest rate of 2% compounded quarterly, while Robert invested $ 3,100 in an account paying an interest rate of 3% compounded continuously, to determine, after 12 years, how much more money would Robert have in his account than Cooper to the nearest dollar, the following calculation must be made:
Compound interest formula: Initial x (1 + interest / composition) ^ composition x years
Continuous compound interest formula: Initial x exp ^ (interest x years)
Cooper:
3,100 x (1 + 0.02 / 4) ^ 12x4 = X
3,100 x (1 + 0.005) ^ 48 = X
3,100 x 1,005 ^ 48 = X
3,100 x 1,270 = X
3,938.51 = X
Robert:
3,100 x 2.71828182845904 ^ (3x12) = X
4,443.32 = X
4,443.32 - 3,938.51 = X
504.51 = X
Therefore, rounded to the nearest dollar, Robert will have $ 505 more than Cooper on his account.
Answer:
$139
Step-by-step explanation:
14. A company uses many different delivery
services. The probability that any given parcel
will be sent by the ABC Speedy Delivery Service
is 0.71. The probability that the parcel will arrive
on time given the ABC Speedy Delivery
Company was used is 0.93. If a parcel is
randomly selected, find the probability that it will
be sent with the ABC Speedy Delivery Company
and arrive on time.
Answer:
0.6603 = 66.03% probability that it will be sent with the ABC Speedy Delivery Company and arrive on time.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Sent by ABC Speedy Delivery Service.
Event B: Arrived on time.
The probability that any given parcel will be sent by the ABC Speedy Delivery Service is 0.71.
This means that [tex]P(A) = 0.71[/tex]
The probability that the parcel will arrive on time given the ABC Speedy Delivery Company was used is 0.93.
This means that [tex]P(B|A) = 0.93[/tex]
Find the probability that it will be sent with the ABC Speedy Delivery Company and arrive on time.
This is [tex]P(A \cap B)[/tex]. So
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]P(A \cap B) = P(B|A)*P(A) = 0.93*0.71 = 0.6603[/tex]
0.6603 = 66.03% probability that it will be sent with the ABC Speedy Delivery Company and arrive on time.
Answers are 0-5 5-10 10-15 15-20 20-25
I need help with this pls
Answer: 2.98
Step-by-step explanation:
jose has 3 genres of songs on his Mp3 player. Half of the songs are country songs. A fourth of the songs are rock. The other 10 songs are jazz. If his MP3 player is playing songs at random and on repeat, what is the probability that it will play a rock song followed by a country song
Answer:
because he has the rock next to the country song
2) How many 1/3 liter servings are in 4/5 liter of Gatorade? *
A right triangle has a leg of length 6 and a hypotenuse of length 21 yards. Find the length of the other leg (nearest tenth).
Answer:
20.1
Step-by-step explanation:
a^2+b^2=c^2
6^2+b^2=21^2
36+b^2=441
b^2=441-36
b^2=405
sqrt of b =20.12
1) Jim took out a loan for $500. The rate is 8%. How much does Jim owe in interest if he pays it back in 4 1/2 years?
2) What is the balance that Jim owes for his loan?
Answer:
ito yung link o /fhytuewfxnopjbfw/ yan na po
Can someone please help me with this! This is due today and I'm having a hard time! Please help me!
Answer:
a) Daniel has 55
b) Daniel has 105
c) Daniel has 5z
d) 115 divided by 5, which is 23!!!
HELP HELP HELP HELP
What is the equation of the trend line in the scatter plot ?
Answer:
The equation for the trend line is y=2x-10
PLZ ANSWER NO LINKS or i will Ban u...
Answer:
Grape Juice 250
Apple Juice 2,250
Ginger Ale 2,500
brainliest help fast plz
Answer:
[tex]\frac{5}{16}[/tex]
Step-by-step explanation:
[tex]\frac{1}{2}-\frac{3}{16}=\frac{8}{16}-\frac{3}{16}=\boxed{\frac{5}{16}}[/tex]
Answer:
hope this helps
Step-by-step explanation:
the answer is 5/16
HELP PLZZZZZ
Which of the following are not linear functions? Place a check mark in the box next to each equation that is not a linear function.
A. x = 4
B. y = 5
C. y = 3x + 2
D. y = 2x 2 + 1
E. y = x 2
Answer:
The option E is not linear function
bcz the in option E there is y =x2
Which divisor of x3 + 3x2 - 16x - 48 has a remainder of zero?
A. X + 2
B. X-4
C. x-3
D. x + 8
I need this one ASAP
===========================================================
Explanation:
We'll use the remainder theorem.
This theorem says that if you divide p(x) over (x-k), then the remainder is p(k).
We have p(x) = x^3 + 3x^2 - 16x - 48 and the denominator is one of the four choices A through D.
Let's go through each of them until we find the answer.
-----------------
For choice A, we have x+2 which is the same as x-(-2). It matches with x-k to show that k = -2.
Plug k = -2 into p(x) to get
p(x) = x^3 + 3x^2 - 16x - 48
p(-2) = (-2)^3 + 3(-2)^2 - 16(-2) - 48
p(-2) = -12
The remainder is -12, which is not 0 like we're after. We can cross A off the list.
-----------------
We'll follow the same ideas for choices B through D
For choice B, we plug in k = 4 because x-4 matches with x-k to show that k = 4.
p(x) = x^3 + 3x^2 - 16x - 48
p(4) = (4)^3 + 3(4)^2 - 16(4) - 48
p(4) = 0
We end up with a remainder of 0, so we can stop here. Dividing (x^3+3x^2-16x-48) all over (x-4) leads to some quotient and a remainder of 0.
Put another way: (x-4) is a factor of x^3+3x^2-16x-48
-----------------
Side notes:
x^3+3x^2-16x-48 factors to (x-4)(x+4)(x+3)If you try out choice C, the remainder is -42The remainder for choice D is -240 (you'll use k = -8).red works at the convenience store for $7.00 an hour. If he makes $49.00 over 2 days, how many hours did Fred work?
7 hours is the answer.
7 x 7 = 49, so if he works 7 hours for $7 an hour, he would have $49.
If the area of a square is 9, then the perimeter of the
square is
Answer:
12.
Step-by-step explanation:
The side length = sqrt 9 = 3
so the perimeter = 4*3 = 12.
Hi there!
»»————- ★ ————-««
I believe your answer is:
12 units.
»»————- ★ ————-««
Here’s why:
The formula for area of a square is:
[tex]A=s^2\\\\\boxed{\text{Key:}}\\\\s-\text{Side length given.}[/tex]
⸻⸻⸻⸻
We are given the area of the square, 9. To find the side length of the square, required to get the perimeter, we would have to take the square root of 9.Recall that the area of a square is the square of it's side length. [tex](s^2)[/tex]⸻⸻⸻⸻
[tex]\boxed{\text{Finding the side length of the square:}}\\\\\rightarrow S=9\\\\\sqrt{9}=3\\\\\rightarrow S=\boxed{3}^2[/tex]
⸻⸻⸻⸻
The side length of the square is 3 units.
⸻⸻⸻⸻
The formula for perimeter of a square is:
[tex]P=4(s)\\\\\boxed{\text{Key:}}\\\\s-\text{Side Length}[/tex]
⸻⸻⸻⸻
We have previously calculated the side length of the square, which is 3.We would have to multiply 3 by 4 to get the perimeter.Recall that the perimeter of a square is 4 times the side length. [tex]4(s)[/tex].
⸻⸻⸻⸻
[tex]\boxed{\text{Finding the perimeter of a square:}}\\\\P=4(3)\\\\\boxed{P=12}[/tex]
⸻⸻⸻⸻
The perimeter of the square is 12 units.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
What goes where
+ - x and divide simble
4_(3_2)_6_1=14
Answer:
(left to right) multiply; add; subtract; divide
Step-by-step explanation:
4*(3+2)-6/1
4*(5)-6/1
20-6/1
20-6
14
3. A palm free is 12m in height.
A coconut tree is 16m in height.
What is the combined height of the
trees?
Answer:
12+16= 28m
28m is the combined height of the trees .
Hope this helps !
please answer 1-7 I BEG YOU I WILL MARK BRAINLIEST
Question 4 Are there any outliers in the data sets? If there are outliers, do they lie at the lower end or at the higher end of the data sets?
(data sets are provided below!)
Walden’s data set: 2, 2, 2, 3, 3, 3, 3, 4, 4, 4
Drake’s data set: 3, 3, 4, 4, 4, 4, 5, 6, 7, 9
*PLS HELP, THIS IS PASS DUE*
Answer:
The center of Walden’s data, 3, is less than the center of Drake’s data set, 6.
Step-by-step explanation:
Answer:
Walden’s data set doesn’t have any outliers. Drake’s data has an outlier with the value 9, which is at the higher end of the distribution.
Step-by-step explanation:
Hope this helped!
if a dress costs $27,000 when it is on sale for 10% off, what is its original cost?
Answer:
30,000
Step-by-step explanation:
10% of 30,000 is 3,000
30,000 - 3,000 = 27,000
Lines C and D are
represented by the equations given below:
Line C: y = x + 6
Line D: y = 3x + 2
Which of these shows the solution to the system of equations and explains why?
(2,8), because both lines pass through this point
(2,8), because the point does not lie on any axis
(4, 14), because one of the lines passes through this point
(4, 14), because the point lies between the two axes
Answer: (4, 14), because both lines pass through this point
Step-by-step explanation:
Help immediately due yesterday show how you got the answer and show your work for brainiest must do both
12. Each section of the line on each side is identical (shown by the marks through each line)
This means both those angles are also the same.
6x + 1 = 9x-23
Add 23 to both sides
6x + 24 = 9x
Subtract 6x from both sides
24 = 3x
Divide both sides by 3
X = 8
13. Both angles when added together need to equal 180
5x-24 + 8x +9 = 180
Combine like terms
13x -15 = 180
Add 15 to both sides
13x = 195
Divide both sides by 13
X = 15
#12
6x+1=9x-233x=24x=8#13
8x+9+5x-24=18013x-15=18013x=195x=15
Does anyone mind helping?
Answer:
its a and c
Step-by-step explanation:
bc im smart hah its a and c
Answer:
Lines A and C are parallel
Step-by-step explanation:
Sylvia bought 8 bags of stickers. Each bag costs $2.79 how much did Sylvia spend
Answer:
Sylvia's total cost=$2.79*8
=$22.32
Step-by-step explanation:
What percent of 36 is 20?
Answer:
55.56%
Step-by-step explanation:
Answer:
55.56
Step-by-step explanation:
Fifteen is the quotient of thirty-two and a number
helppppppp meeeeeeeee fastttttttttttt plssssssssss
Hello! The Answer is A and B
Hope this helps, Have a wonderful day!
Tysm for brainly!
I really need help with this.
Answer:
135
Step-by-step explanation:
All the angles that would correspond with the angle measure 8 (135°) would be m<5, m<2, m<1.
hope this helped!
th
Write an
explicit formula for an, the n' term of the sequence 35, 42, 49, ....
TiMED PLEASE HELP
Answer:
The nth term is 35+ 7(n-1) or can be written 28 + 7n
Step-by-step explanation:
This is an arithmetic sequence, where each term equals the previous term, with a constant value added.
T1 = 35
T2 = 42 = T1 + 7 = 35 + 7
T3 = 49 = T2+ 7 = 35 + 7 + 7 = 35 + 2x7
…
The nth term is equal to 35 + 7X(n-1)
At a coffee shop, the first 100 customers'
orders were as follows.
Small
Medium
Large
Hot
5
48
22
Cold
8
12
5
What is the probability that a customer ordered
a medium given that he or she ordered a hot
drink?
Rounded to the nearest percent, [? ]%
Answer:
48%
Step-by-step explanation:
48/100 = 48%
Edit: the awnser is 64% because 48/75 = 64%
The probability that a customer ordered a medium given that he or she ordered a hot drink is,
⇒ 48%
What is mean by Probability?
The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Given that;
At a coffee shop, the first 100 customers orders were as given.
Now,
Total customer = 100
Order hot median coffee = 48
Thus, The probability that a customer ordered a medium given that he or she ordered a hot drink is,
⇒ 48 / 100
⇒ 0.48
⇒ 48%
Thus, The probability that a customer ordered a medium given that he or she ordered a hot drink is,
⇒ 48%
Learn more about the probability visit:
https://brainly.com/question/13604758
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