Answer:
The amount of money, to the nearest cent, in the account after 3 years will be $ 7028.56
Step-by-step explanation:
The amount is given by
[tex]V = Pe^{rt}[/tex]
Given P = $6520
r = 2.5%
t = 3 years
Substituting the given values, we get -
[tex]V = 6520 * e^{2.5*3/100 }\\V = 6520 * 1.078\\V = 7028.56[/tex]
The amount of money, to the nearest cent, in the account after 3 years will be $ 7028.56
Omar the tent maker wishes to support a 13.4-ft tent wall by attaching 25-ft cable to the top of it, and then anchoring the cable to the ground. If the cable is pulled tight, how far from the base of the tent will it be anchored?
Answer:
21.11 ft
Step-by-step explanation:
This question would be solved using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
13.4² + b² = 25²
179.56 + b² = 625
b² = 625 - 179.56
b = 445.44
find the square root of 445.44
b = 21.11 ft
The heights, in inches, of several seventh-grade students at Evan Mills Middle School are
listed below.
56, 50, 47, 55, 50, 51, 55, 45, 55, 49, 45, 44
Which box plot best displays these data?
AHHH
40 42 44 46 48 50 52 54 56 58 60
T
B
A+++
40 42 44 46 48 50 52 54 56 58 60
40 42 44 46 48 50 52 54 56 58 60
40 42 44 46 48 50 52 54 56 58 60
1. Determine the area under the standard normal curve to the left of z=2.10.
Verify the following identity and show steps
(Cos2 θ)/(1+sin2 θ)= (cot θ-1)/(cot θ+1)
Answer:
Verified below
Step-by-step explanation:
We want to show that (Cos2θ)/(1 + sin2θ) = (cot θ - 1)/(cot θ + 1)
In trigonometric identities;
Cot θ = cos θ/sin θ
Thus;
(cot θ - 1)/(cot θ + 1) gives;
((cos θ/sin θ) - 1)/((cos θ/sin θ) + 1)
Simplifying numerator and denominator gives;
((cos θ - sin θ)/sin θ)/((cos θ + sin θ)/sin θ)
This reduces to;
>> (cos θ - sin θ)/(cos θ + sin θ)
Multiply top and bottom by ((cos θ + sin θ) to get;
>> (cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ)
In trigonometric identities, we know that;
cos 2θ = (cos² θ - sin²θ)
cos²θ + sin²θ = 1
sin 2θ = 2sinθcosθ
Thus;
(cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ) gives us:
>> cos 2θ/(1 + sin 2θ)
This is equal to the left hand side.
Thus, it is verified.
Kim is evaluating the expression 20 - 3p + 1 when p=4. Which expression can Kim use to evaluate the expression correctly?
Answer:
20-3(4)+1
Step-by-step explanation:
please can someone help me quickly? i will give brainliest (please no links)
sketch the graphs using 3 points that belong to it y = -3x +2
Answer:
Step-by-step explanation:
Answer:
0,2
1,-1
2,-4
Step-by-step explanation:
after a car traveled 70 miles from its starting point the was still at least 500 miles from the end of the trip which inequality represents the total distance t of the trip from the starting point to the end
Answer:
The answer to this inequality is 70<x<500
Answer:
t ≥ 570
Step-by-step explanation:
Country A has an exponential growth rate of 4.6% per year. The population is currently 5,849,000, and the land area of Country A is 38,000,000,000 square yards. Assuming this growth rate continues and is exponential, after how long will there be one person for every square yard of land?
Answer:
195.205998 years
Step-by-step explanation:
P=P0(1.046)^t P=future population P0=initial population t=years passed
38,000,000,000 = 5,849,000(1.046)^t
1.046^t = 38,000,000,000/5,849,000
1.046^t = 38,000,000/5,849
plug in log on both sides
log 1.046^t = log (38,000,000/5,849)
t[log 1.046] = log (38,000,000/5,849)
t = In (38,000,000/5,849)/ In 1.046
t ≈ 195.205998 (hope this helps)
Would it be possible to draw a triangle with the following side lengths?
7 feet, 9 feet, 13 feet
Answer:
it is not possible
Step-by-step explanation:
What is the approximate value of 12−−√ ?
3.5
2
6
4.5
Given the following information: P(A) = 0.62 P(B) = 0.25 P(A and B) = 0.12 P(B given A) = 0.19 What is the probability of A or B? Round your answer to the nearest hundredth as needed. P(A or B) =|
Answer:
P(A or B) = 0.75
Step-by-step explanation:
Venn probabilities:
Supposing that we have two events A and B, the probability P(A or B) is given by:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
In this question, we have that:
[tex]P(A) = 0.62, P(B) = 0.25, P(A \cap B) = 0.12[/tex]
So
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.62 + 0.25 - 0.12 = 0.62 + 0.13 = 0.75[/tex]
Then
P(A or B) = 0.75
ANSWER AS FAST AS YOU CAN
Answer:
D
Step-by-step explanation:
3 1/2 ---> 7/2
1 3/4 ---> 7/4
2 1/2 ---> 5/2
(7/2)(7/4)(5/2) = 245/16 = 15 5/16 ft³
In circle Q with the measure of minor arc PR = 48 , find m∠PSR.
The minor arc PR is 42 degrees
Answer: 24
Step-by-step explanation:
A bag contains one red pen, four black pens, and three blue pens. Two pens are randomly chosen from the bag and are not replaced.
What is the probability that a blue pen is chosen first and then a red pen is chosen?
A. 1/7
B. 3/8
C. 3/56
D. 3/14
Will give brainly if answer is right
Answer:
28 degrees
Step-by-step explanation:
The given figure is an octagon. The sum of interior angles in an octagon is 1080. Thus, one can form an equation, add up all of the angle measures, and set the equation equal to 1080. Then simplify and use inverse operations to find the value of the parameter (t).
(150) + (3t + 34) + (5t) + (5t) + (3t + 37) + (7t - 49) + (5t - 16) + (5t) = 1080
Simplify,
33t + 156 = 1080
Inverse operations,
33t + 156 = 1080
-156 -156
33t = 924
/33 /33
t = 28
What is the measure of angle XYZ?
Answer:
63degrees
Step-by-step explanation:
Using the theorem which states that the measure of angle at the vertex is half the angle of its intercepted arc.
Given
angle of its intercepted arc = 126 degree
Required
angle at the vertex = x =<XYZ
According to the theorem;
x = 1/2(126)
x = 126/2
x = 63
Hence the measure of <XYZ is 63degrees
question in screenshot
why wont u let me see the awner when it says "u have 12 awsners left"
Answer:
do you have an android if you do download the app its free no monthly payments like the web browser im using the app
Name 4 points that would form a square with the origin at is center.
9514 1404 393
Answer:
(2, 3), (-3, 2), (-2, -3), (3, -2)
Step-by-step explanation:
You can pick any point you like, then rotate it around the origin to the four quadrants (or axes) by the transformation ...
(x, y) ⇒ (-y, x) . . . . . . . . . 90° rotation CCW
That is a rotation 90° CCW. Of course a rotation CW can do the same thing for you.
__
One possible square is ...
(2, 3), (-3, 2), (-2, -3), (3, -2)
A dog ran along a fence 10 times. The fence is 5 feet 3 inches long. How far did the dog travel? (12 inches = 1 foot
5 feet and 3 inches, 1 foot=12 inches, 12×5=60+3=63×5=315. so your answer is 315
Myrna is buying a new rug for her living room. What is the area of the rug, in square feet?
8 ft
12 ft
Ο Α. 40 ft2
O
B. 48 ft?
o
C. 80 ft2
D 96 ft2
Answer:
The answer is 96 square feet because if you look at the first rectangle (the one on the top left), you should multiply 5 times 6 which equals 30.
Answer:
(D), 96 square feet
Step-by-step explanation:
The formula for area is:
Length * Width = Area
Let's plug in the values:
8 * 12 = 96 square feet
Therefore, the answer is (D), 96 square feet. Hope this helps!
HELP ME PLEASE......
Answer:
reflective.
Step-by-step explanation:
this has a somewhat meaningful undertone, meaning it is not sarcastic or scholarly. It also is not arguementative because it is not agrueing anything.
During week 3, Frank rode his bike about the same amount of time as week 1 and 2 combined. About how many hours did he ride his bike during week 3?
A 4 hours
B 4 hours
C 6 hours
D 7 hours
Answer:
6 hours
Step-by-step explanation:
3 1/4
+ 2 5/6 =
72/12 = 6
Smooth transitions in an informative essay_____
two paragraphs seamlessly.
A.connect
B.Separate
C.Divide
D.Classify
A television newscaster from a 24-hour news station wants to estimate the number of hours per day its
viewers watch programming on this channel. The newscaster randomly selects 100 viewers and asks them
how many hours per day they watch this station. The newscaster constructs an 85% confidence interval for
the true mean number of hours viewers watch this station. Which of the following would decrease the margin
of error?
using a sample of size 50
using a sample of size 200
constructing a 90% confidence interval
constructing a 95% confidence interval
Answer:
B, using a sample of size 200
Step-by-step explanation:
just got it right
Answer:
B.
Step-by-step explanation:
EDGE2022
Anyone know how to do the chart
Answer:
Step-by-step explanation:
divide 12 or 15
Which of the following is not a term in the expression
answer and show work and ill give brainliest
9514 1404 393
Answer:
(d)
Step-by-step explanation:
The area of the semicircle is ...
A = (1/2)πr²
A = (1/2)(3.14)(4 m)² = 25.12 m²
The area of the triangle is ...
A = 1/2bh
A = 1/2(12 m)(8 m) = 48 m²
Then the total area of the composite figure is ...
total area = semicircle area + triangle area
= 25.12 m² + 48 m² = 73.12 m²
_____
Additional comment
The areas of choices A-C are too small. Choice A represents the area of the full circle. Choice B represents the area of the triangle only. Choice C is completely irrelevant. Choice D is the sum of the first two choices, inappropriately using the full circle area.
You should talk to your teacher about this question. None of the offered choices is correct.
In August 2003, 56% of employed adults in the United States reported that basic mathematical skills were critical or very important to their job. The supervisor of the job placement office at a 4-year college thinks this percentage has increased due to increased use of technology in the workplace. He takes a random sample of 30 employed adults and finds that 21 of them feel that basic mathematical skills are critical or very important to their job.
Required:
Is there sufficient evidence to conclude that the percentage of employed adults who feel basic mathematical skills are critical or very important to their job has increased at the a = 0.05 level of significance?
Answer:
Yes
Step-by-step explanation:
First, suppose that nothing has changed, and possibility p is still 0.56. It's our null hypothesis. Now, we've got Bernoulli distribution, but 30 is big enough to consider Gaussian distribution instead.
It has mean μ= np = 30×0.56=16.8
standard deviation s = √npq
sqrt(30×0.56×(1-0.56)) = 2.71
So 21 is (21-16.8)/2.71 = 1.5494 standard deviations above the mean. So the level increased with a ˜ 0.005 level of significance, and there is sufficient evidence.