Step-by-step explanation:
See the attached for the proof
Please help!!!!!!! I have to submit this soon so plz help
Answer:
She plays 60 minutes of basketblall per week.
Step-by-step explanation:
basketball = 100% - 45% - 15% - 10% - 10% = 20%
20% of 300 minutes = 0.20×300 = 60 minutes
She plays 60 minutes of basketblall per week.
Answer:
time spend in basketball=(100-45-15-10-10)%of 300 min
=20% of 300=60min is your answer
ASAPP PLEAASSEE!!!
Nathan deposits $940 every 2 months into his daughter's RESP. If the account earns 3.99% / annual, compound quarterly, how much will be in the account after 25 years?
There will be approximately $594,311.34 in Nathan's daughter's RESP after 25 years of depositing $940 every 2 months with a 3.99% annual interest rate compounded quarterly.
To calculate the amount in Nathan's daughter's RESP after 25 years, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = Final amount (amount in the account after 25 years)
P = Principal amount (amount deposited every 2 months)
r = Annual interest rate (in decimal form)
n = Number of times the interest is compounded per year
t = Number of years
In this case, Nathan deposits $940 every 2 months, so the principal amount (P) is $940. The annual interest rate (r) is 3.99% or 0.0399 in decimal form. Since the interest is compounded quarterly, the compounding frequency (n) is 4. The number of years (t) is 25.
Since Nathan deposits every 2 months, we need to calculate the total number of deposits made over 25 years. There are 12 months in a year, so in 25 years, there will be 25 * 12 = 300 months. However, since Nathan deposits every 2 months, the number of deposits (m) is 300 / 2 = 150.
Now, we can substitute these values into the formula:
A = 940(1 + 0.0399/4)^(4*25)
Calculating the exponent first:
(1 + 0.0399/4)^(4*25) ≈ 2.703236
Now, substituting the calculated exponent and the number of deposits into the formula:
A = 940 * 2.703236 * 150 ≈ $594,311.34
Therefore, there will be approximately $594,311.34 in Nathan's daughter's RESP after 25 years of depositing $940 every 2 months with a 3.99% annual interest rate compounded quarterly.
It's important to note that this calculation assumes Nathan makes the same $940 deposit every 2 months consistently over the 25-year period and does not make any withdrawals from the account during that time. Additionally, the actual amount may vary slightly due to rounding and any potential changes in interest rates over the years.
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Which comparison statement is true? A. -3\4<-2\3 B. -1\6<-1\5 C. -1\2<-2\3 D. −2\3 >−2\4
The comparison statement which is true among the other given answer choices is; Choice A; -3/4<-2/3.
Which is the comparison statement which is true among the answer choices given?It follows from the task content that the comparison statement which is true among the answer choices given be determined.
On this note, one must recall that the arrangement of numbers on the number line is such that numbers are arranged in increasing order of value from left to right. For instance; -3 < -2 while; 2 < 3.
Hence, the answer choice which is correct is; Choice A; -3/4 < -2/3 as evident from the fact that; -0.75 < -0.667.
The concept above follows from the conversion of the numbers to decimals while using the number line arrangement of numbers.
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Please solve for 25 points...
Answer:
if y intercepts than it should be b
Step-by-step explanation:
Given: m || n
What is the value of x?
x =
the volume of a pyramid is given by the formula V=1/, where B is the area of the base and h is the height?
Answer:
Step-by-step explanation:
The volume of this pyramid in cubic inches is 16.
Given that,
The base and height is 8 and 6.
Based on the above information, the calculation is as follows:
The volume is
= 16
how can you tell if data is continuous or discrete
For me, it helps to ask this question: Does it make sense to apply the midpoint? If it doesn't make sense, then the data is discrete. Otherwise, the data is continuous.
Here's an example:
Let's say we are counting the number of people buying a movie ticket. So the numbers we care about are positive whole numbers 1,2,3,... It doesn't make sense to apply the midpoint to the values 1 and 2 to get 1.5; you can't sell half a ticket. Therefore the variable "number of movie tickets sold" is a discrete variable. There are gaps in the data.
On the other hand, if we were measuring the weight of various coins, then this variable is continuous. It's possible to have any positive number decimal number weight (eg: 2.275 grams perhaps). It makes sense to apply the midpoint to any two weights and get some other weight. We don't have to worry about sticking to whole numbers only. Unlike before, there aren't any gaps and we consider this number set to be dense.
One way you could remember the two is to keep this in mind: If you count it, then it's likely discrete. If you can measure it, then it's continuous.
There are probably exceptions to that rule, but for the most part it holds up I think.
What is the value of x?
O 40
O 70
O 140
O 160
what is the question? if u give the question , I might help and edit this :)
Answer:
i think it's 70
Step-by-step explanation:
sorry if its wrong let me know plz
You brought 1.5 dozen bagels to school. A dozen bagels cost $5.98. You used a coupon that took $1.00 off of the total. How much did you pay for the bagels?
$9.97
$4.98
$7.97
$8.97
Answer: (7.97)
Step-by-step explanation:
1 dozen = 5.98
.5 dozen = 2.99
5.98+2.99=8.79 8.79- the 1.00 is (7.97)
hope this helps!
Find the area
Round to nearest tenth
The area of the triangle is 87.6 cm².
How to find the area of a triangle?The area of the triangle can be found as follows:
Therefore,
area of a triangle = 1 / 2 bh
where
b = base of the triangleh = height of the triangleTherefore,
b = 17 cm
h = 10.3 cm
Hence,
area of a triangle = 1 / 2 × 17 × 10.3
area of a triangle = 1 / 2 × 175.1
area of a triangle = 87.55
area of a triangle = 87.6 cm²
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The Futurists, a rock group, are planning a concert tour with performances to be
given in five cities: San Francisco, Los Angeles, San Diego, Denver, and Las Vegas.
how many ways can they arrange their itinerary if
a.There are no restrictions?
b.The tree performances in California must be given consecutively?
Answer:
a. 24
b. 12
Step-by-step explanation:
a. You can choose from 4 cities for the first performance, then from 3 cities, then from 2 cities, then the last city.
4 * 3 * 2 * 1 = 24
b. Think of the three performances in California as a unit. Within this unit, you can choose from 3 cities for the first one, then 2 cities for the second one, and finally 1 city for the last one.
3 * 2 * 1 = 6
Now you can have the 3 California performances first, followed by Denver, or Denver first followed by California.
6 * 2 = 12
A railroad crew can lay 7 miles of track each day. They need to lay 189 miles of track. The length L (in miles) that is left to lay after d days is given by the following L (d)=189-7d
The number of days it will take the crew to lay all the track is; 27 days
The number of miles of track the crew has left to lay after 18 days is; 65 miles
How to solve Algebraic Equations?
We are given the equation that represents the length L (in miles) that is left to lay after d days as;
L(d) = 189 - 7d
where;
L is length in miles
d is number of days
Thus, the number of days it will take to lay all the tracks is;
Number of days = 189/7
Number of days = 27 days
The length L (in miles) that is left to lay after 18 days is;
L= 189 - 7(18)
L= 189 - 126
L= 65 miles
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Complete question is;
A railroad crew can lay 7 miles of track each day. They need to lay 189 miles of track. The length, L (in miles), that is left to lay after d days is given by the following function. L(d) = 189 - 7d
(How many days will it take the crew to lay all the track?)
(How many miles of track does the crew have left to lay after 18 days?)
Write the following expression in algebraic form.
cos(arcsin 3x)
Answer:
Step-by-step explanation:
If we consider a triangle with the length of the hypotenuse being equal to 1 and the length of the opposite side = 3x.
However, recall that in a right-angle triangle;
SIne = opposite/hypothenuse
Thus; let the angle facing the opposite be y
Then;
SIn y = 3x/1
Sin y = 3x
Thus, y = arcsin (3x)
Now; to find cos(arcsin 3x)
Recall that:
Cosine = adjacent/hypotenuse
Now, using Pythagoras rule;
\(\mathsf{Adjacent \ side = \sqrt{(hypotenuse)^2 -(opposite^2)}}\)
\(\mathsf{Adjacent \ side = \sqrt{(1)^2 -(3x^2)}}\)
\(\mathsf{Adjacent \ side = \sqrt{1 -9x^2}}\)
cos(arcsin 3x) = cos y = adjacent side/hypotenuse = \(\dfrac{\sqrt{1 -9x^2}}{1}\)
cos(arcsin 3x) = \(\dfrac{\sqrt{1 -9x^2}}{1}\)
A marathon runner completes a 42.188-km course in 2 h , 40 min, and 13 s. There is an uncertainty of 29 m in the distance traveled and an uncertainty of 3 s in the elapsed time. (Express your answers to the correct number of significant figures and proper units.)
The missing part of the question is;
(a) Calculate the percent uncertainty in the distance.
(b) Calculate the percent uncertainty in the elapsed time.
(c) What is the average speed in meters per second?
(d) What is the uncertainty in the average speed?
Answer:
A) 0.0687%
B) 0.0312%
C) 4.389 m/s
D) 0.0044 m/s
Step-by-step explanation:
We are given;
Total Marathon distance = 42.188 km
Uncertain distance = 29m = 0.029 km
Time to complete marathon = 2 h , 40 min, and 13 s = 9613 seconds
Uncertain time = 3 seconds
A) % uncertainty in distance = (uncertain distance/total marathon distance) × 100% = (0.029/42.188) × 100% = 0.0687%
B)% uncertainty in the elapsed time = (elapsed time/total time) × 100% = (3/9613) × 100% = 0.0312%
C)average speed = total distance/total time
Total distance when converted to metres is 42188 m
Thus; average speed = 42188/9613 = 4.389 m/s
D) The percent uncertainty in the average speed is the combination of uncertainties of distance and time.
%uncertainty in speed = % uncertainty in distance + % uncertainty in the elapsed time
%uncertainty in speed = 0.0687% + 0.0312% = 0.0999%
Therefore, the uncertainty in the speed is;
δ_speed = 0.0999/100 × 4.389
δ_speed = 0.0044 m/s
The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with grams of a radioactive isotope, how much will be left after 4 half-lives?
After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.
The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:
Amount remaining = Initial amount × (1/2)^(number of half-lives)
In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.
So, the equation becomes:
Amount remaining = Initial amount × (1/2)^4
Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.
Simplifying the equation:
Amount remaining = Initial amount × (1/16)
Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.
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If f(3) = 5 and f(4) = 8, Find f(5) and f(6)
Answer:
(55) (4)
Step-by-step explanation:
your welcome
If the rectangular menu is 3 feet long by 2 feet wide, what is the area of the menu?
Answer:
Step-by-step explanation:
Area of rectangular menu
Length × breadth
3×2=6sq feet
Answer:
6 ft^2
Step-by-step explanation:
area of rectangle = length * width
area = 3 ft * 2 ft
area = 6 ft^2
Find the midpoint of the line segment with the given endpoints.
6) (-7, -10), (-2, -3)
(separate questions)
7) (-4,-3), (8, 2)
Question 6
\(\left(\frac{-7-2}{2}, \frac{-10-3}{2} \right)=(-4.5, -6.5)\)
Question 7
\(\left(\frac{-4+8}{2}, \frac{-3+2}{2} \right)=(2, -0.5)\)
If you are facing South-west, you should turn ______degree anti-clockwise to face North ?
Answer:
You should turn 225 degrees anti-clockwise to face North.
HELP ASAP What is the equation for the line in slope-intercept form?
Enter your answer in the box.
Answer:
y=2x+0 or y=2x
Step-by-step explanation:
The slope intercept formula is: y=mx+b
Fill in the blanks and you'll get:
y=2x+0 or just y=2x
let me know if that's right.
Clarence walks 3.1 miles around Lake Johnson every day for five days.
If it takes him a total of 6 hours to walk the 15.5 miles, what is his
average time per day?
minutes per day.
Answer:
Average time per day = 1.2 hours per day
Average time per day = 72 minutes per day
Step-by-step explanation:
To find Clarence's average time per day, we need to divide the total time he takes to walk the 15.5 miles by the number of days he walks, which is five.
Let's calculate his average time per day:
Average time per day = Total time / Number of days
Since Clarence takes a total of 6 hours to walk the 15.5 miles, we'll divide 6 by 5 to find his average time per day:
Average time per day = 6 hours / 5
Average time per day = 1.2 hours per day
To convert hours to minutes, we'll multiply the average time per day by 60:
Average time per day = 1.2 hours * 60 minutes
Average time per day = 72 minutes per day
Therefore, Clarence's average time per day is 72 minutes.
find an angle between 0 degrees and 360 degrees that is coterminal with -240
The angle between 0 degrees and 360 degrees that is coterminal with -240 is 120 degrees
What are Coterminal angles?Two angles in standard position are called coterminal angles if they have the same terminal side.
When 360 degrees is added to a given angle or when 360 degrees is subtracted from a given angle, we get an angle that is coterminal with the given angle.
Now,
We are to determine an angle between 0 degrees and 360 degrees that is coterminal with -240
To do this, we will add 360 degrees to the given angle
That is,
-240° + 360° = 120°
Hence, the angle is 120 degrees.
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A controversial story comes out in the school newspaper. The number of students who have not heard about the story decreases at a rate that is proportional at any time to the number of students who have not heard the story at that time. There were 900 students who had not heard the story initially, and the number of students is divided by 3 every 4 days. How many students have not heard the story after 7 days? Round to the nearest student. students Stuck?
The bisector goes through photosynthesis causing the qordinates of the triangle to find the spectrum
I NEED HELP PLEASE HELP ME OUT ILL GIVE YOU EXTRA POINTS
Answer: dont know just search it up
The idea that two line segments can be added together to find the length of the entire segment is called the _____.
Answer: congruent segments
Step-by-step explanation:
Cindy tried to find the sum of the exterior angles of the hexagon. What was her error?
will mark brainiliest!
Step-by-step explanation:
Simple, she found the sum of the interior angles not exterior angles.
The exterior angles of any polygon add up to 360 degrees.
What Cindy did was found the total interior angle measure of a hexagon which is 720
a rectangle is four times a long as it is wide. if i has an area of 36 square inches, what are its dimensions?
Answer:
the dimensions are 3 sq in x 12 sq in
Step-by-step explanation:
12 divided by 3 is four (like the question said four times the width)
and then 3 times 12 is 36 sq in
sq in = square inches
Three candidates were competing for a new job. One of them got half the vote. Another got two fifths of the vote. What fraction does the third candidate get?
Answer:
1/10
Step-by-step explanation:
2/5+1/2
=9/10
1/1-9/10
=1/10
multiply (-6.1)(4.1)
I answered -25.01 and was told it was wrong. It asks to answer as an integer or decimal.
Write your answer as an integer or as a decimal rounded to the nearest tenth.
The measure of WY using trigonometric identities is 5.4405.
We have,
Using trigonometric identities,
tan 33 = YW/√70
Now,
√70 = 8.37
tan 33 = 0.65
Substituting,
0.65 = YW/8.37
YW = 0.65 x 8.37
YW = 5.4405
Thus,
The measure of WY is 5.4405.
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