Answer:
3,870
Step-by-step explanation:
i hope this helps u (‾◡‾)
Suppose that P dollars in principal is invested in an account earning 2.1% interest compounded continuously. At the end of 2 yr, the amount in the account has earned $193.03 in interest.
A) Find the original principal.
B) Using the the original principal from part (a) and the model A = Pe", determine the time required for the investment to reach $6000.
Answer:
See explanation
Step-by-step explanation:
Recall that
Amount = Principal + Interest
The formula is;
A = P(1 + r)^n
Where;
P= principal, n = time and r = rate
Hence;
P + I = P(1 + r)^n
P + 193.03 = P(1.021)^2
P + 193.03 = 1.04P
P - 1.04P = - 193.03
-0.04 P = - 193.03
P = 193.03/0.04
P = $ 4825.75
B) When A = $6000, n=?
From;
A= P(1 + r)^n
6000 = 4825.75 (1.021)^n
6000/4825.75 = (1.021)^n
1.24 = (1.021)^n
Taking logarithm of both sides;
log 1.24 = n log 1.021
n = log 1.24/log 1.021
n = 0.0934/0.009
n = 10 years
PLZ HELP
Write a real-world situation that can be represented by a linear relationship.
Answer:
A real world situation could be: Holden is walking to school for his basketball game.
He lives 10 blocks from school. Holden walks 6 blocks in 4 minutes, but then realizes that he forgot his jersey. He runs back home in 2 minutes and spends 2 minutes finding his jersey at home. Finally, he runs 5 blocks every 2 minutes until he reaches school. And a good example/photo would be: (down below)
Step-by-step explanation:
I hope this helps! brainliest?
Helllpppp i’ll give brainliest
Answer:
The two triangles are related by A - S - A test of similarity , so the triangles are congruent.
If the volume of a sphere is 660 mm, what is the radius of the sphere, to the nearest tenth of a millimeter?
Answer:
Radius= 5.4
Step-by-step explanation:
Formula for Sphere- V= 4/3(pi)• r^3
r=(3 V/4 pi) = (3•660/4•pi)= 5.40114 (5.4)
How are translations and reflections represented as a function?
will give brainly and everything
Answer:
Step-by-step explanation:
A vertical reflection is given by the equation y=−f(x) and results in the curve being "reflected" across the x-axis. A horizontal reflection is given by the equation y=f (−x) and results in the curve being "reflected" across the y-axis. You can see that the reflections are presented in the terms of a function.
As for translations, the function would just increase or decrease based on the translations.
In translation the graph of function moves certain distance and in reflection the graph of function reflected along the axis of reflection.
What is translation?"It is a transformation in which the graph of function is moved from one location to another location without changing its size, shape or orientation."
What is reflection?"It is a transformation in which the graph of function is reflected along the line of reflection."
What is function?"It defines a relation between input and output values"
Consider a function f(x).
Translations in function f(x):
1) When function f(x) is transformed to f(x) + k, it means function f(x) is translated vertically up by 'k' units.
2) When function f(x) is transformed to f(x) - k, it means function f(x) is translated vertically down by 'k' units.
3) When function f(x) is transformed to f(x + k), it means function f(x) is translated horizontally left by 'k' units.
4) When function f(x) is transformed to f(x - k), it means function f(x) is translated horizontally right by 'k' units.
Now consider reflections in function f(x):
1) When function f(x) is transformed to -f(x) , it means function f(x) is reflected over X-axis.
2) When function f(x) is transformed to f(-x) , it means function f(x) is reflected over Y-axis.
Therefore, in translation the graph of function moves certain distance and in reflection the graph of function reflected along the axis of reflection.
Learn more about the function transformation here:
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(1 point)
10. A piece of art is in the shape of an equilateral triangle with sides of 21 in. What is the area of
the piece of art to the nearest tenth?
311.8 in.2
381.9 in?
155.9 in.2
191.0 in.2
Answer:
191.0
Step-by-step explanation:
a rectangle has a height of 5 inches and a area of 35 squared inches what is the length of the base of the rectangle?
Please explain, I dont understand
Answer:
7 inches
Step-by-step explanation:
Now the area of a rectangle equals to length by width or in this scenario, height by base.
Therefore, we take a look at what we already have.
We got 5 inches for height and 35 squared inches as the area.
h= 5 inches a=35squared inches b=?
*Therefore, 5 x b =35
Through substitution this becomes:
*35/5= b
*Therefore b=7 inches
Use the points shown on the graph to find the slope of the line.
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: -4/7 count 4 down and 7 across
Explanation:
I hope this helped!
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The median of these numbers is
how much less than the mean?
1.5, 0.6, 0.7, 0.85, 5.3
Answer:
The median of the numbers is 3.66 less than the mean
Step-by-step explanation:
To find the median, find the middle of the numbers
0.6, 0.7, 0.85, 1.5, 5.4
To find the mean, add all the numbers and divide by the number of numbers
0.6 + 0.7 + 0.85 + 15 + 5.4 = 22.55
22.55/5 = 4.51
To find how less, subtract the median from the mean
4.51 - 0.85 = 3.66
In the 2009 NFL regular season, quarterback Philip Rivers of the San Diego Chargers had an average of 266 passing yards per game with a standard deviation of 79 yards. Between which two values do you expect the middle 68% of his performance to be?
Your answer
A. 108 and 424
B. 29 and 503
C. 187 and 345
D. 0 and 582
Answer:
C. 187 and 345
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 266 yards per game, standard deviation of 79 yards.
Between which two values do you expect the middle 68% of his performance to be?
By the Empirical Rule, within 1 standard deviation of the mean. So between 266 - 79 = 187 yards and 266 + 79 = 345 yards. The correct answer is given by option C.
(5, -1) and (0,5). Find the slope
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 6/-5
Explanation:
I hope this helped!
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Pls answer its khan academy
Answer:
[tex]f(x)=9*\frac{5}{3}^x[/tex]
Step-by-step explanation:
When x equals 0, that means a is going to be multiplied by 1 since any number to the power of 0 is 1, so [tex]f(0)=a=9[/tex]. When x equals 1, that means that [tex]f(1) = 9b=15[/tex], so [tex]b=\frac{15}{9} =\frac{5}{3}[/tex]. This means that the equation should be [tex]f(x)=9*\frac{5}{3}^x[/tex].
How much energy points you have on KA? I have 3, 736,486 points.
24. Which description describes the solutions to this inequality?
9> 52
A. all the possible numbers that are smaller than twenty-five
B. all the positive numbers that are greater than ten
C. all the positive numbers that are larger than twenty-five
D. all the possible numbers that are smaller than ten
7. Find the measure of x.
Answer:
37
Step-by-step explanation:
Here the 2 angles are the same. So
74 = 2x
74/2 = x
x = 37
Answer ;
2x + 74 = 180 2x = 180 - 74 = 106 x = 160/2( refer the attachment for the division )
hence , x = 53
hope my answer helps you !!
Write an equation of the line with a slope of i and a y-intercept of -2.
4
An equation is y =
STEP BY STEP EXPLANATION PLEASE
Step-by-step explanation:
y = mx + b. where m is the slope and b is the y intercept
y = 3/4x - 2
This Is A Grade! Please Help Answer Any Of These. (PLEASE)
Answer:
1. 85 in squared
Work: b=17 h=10
17*1/2=8.5
8.5*10=85
2. 142.5 mm squared
Work:b=15 h=19
15*1/2=7.5
7.5*19=142.5
3. 110.5 mm squared
Work:b=17 h=13
17*1/2=8.5
8.5*13=110.5
4. 9km squared
Work:b=2 h=9
2*1/2=1
1*9=9
5. 924 mm squared
Work:b=77 h=24
77*1/2=33.5
33.5*24=924
6. 104.5 m squared
Work: b=19 h=11
19*1/2=9.5
9.5*11=104.5
Step-by-step explanation:
Answer:
1. 10x17=170
170/2=85in
2. 19x15=285
285/2=142.5mm
3. 13x17=221
221/2=110.5mm
4. 9x2=18
18/2= 9km
5. 24x77=1,848
1,848/2=924mm
6. 11x19=209
209/2=104.5m
What is the first step in solving this problem:
-12 ÷ 6 (-3) + 8
WILL GIVE BRANLIEST
Answer:
first step is to divide -12 by 6
Step-by-step explanation:
The first step would be to divide -12 by 6
-12/6 = -2
-2(-3) = 6
6 + 8 = 14
Divide 0.0844 /(-0.72) and round to the nearest hundreths
Answer:
-0.12
Step-by-step explanation:
0.0844/(-0.72)=-0.11722222222
-0.11722222222 rounded to the nearest hundredths in -0.12
Answer:
- 0.11722222222
Step-by-step explanation:
- 0.0844 ÷ - 0.72 = - 0.11722222222
The table shows the probabilities of winning or losing when the team is playing away or is playing at home.
home. away. total
Win: 056. 0.24. 0.8
Loss: 0.14. 0.06. 0.2
Total: 0.7. 0.3. 1.00
a) are the events 'winning' and 'playing at home' independent? show your calculations to justify why or why not.
b) Are the events "losing" and "playing away" independent? show your calculations to justify why or why not.
Answer:
Use numbers from respective cells of the table for calculationsa) Are the events 'winning' and 'playing at home' independent?
p(winning and playing at home) = 0.56 p(winning)*p(playing at home) = 0.8*0.7 = 0.56Since the probabilities are same, the events are independent
b) Are the events "losing" and "playing away" independent?
p(losing and playing away) = 0.06p(losing)*p(playing away) = 0.2*0.3 = 0.06Since the probabilities are same, the events are independent
I need help understanding this and how to do it :)
Answer:
[tex]the \: shaded \: area = \frac{28}{2} = 14 \: {in}^{2} [/tex]
Step-by-step explanation
so the total are is 28in². it tells you to find the shaded area of the triangle, which is half of the triangle
Find the measurement of angle x ?
(NO LINK) Elizabeth has a piece of ribbon that is 6.3 meters long. She wants to cut it into pieces that are 0.3 meters long. How many pieces of ribbon did she have?
please explain
21 pieces of ribbon
Step-by-step explanation:
6.3/0.3= 21
please help me , i’m so stuck on this problem
Answer:
x = 1
y = 9
Step-by-step explanation:
The diagonals of the parallelogram bisect each other. Therefore:
✔️2x + 13 = 15
2x + 13 - 13 = 15 - 13
2x = 2
2x/2 = 2/2
x = 1
✔️5y - 36 = y
5y - 36 - 5y = y - 5y
-36 = -4y
-36/-4 = -4y/-4
9 = y
y = 9
Aaron is designing a party game in which he needs exactly 24 possible outcomes. Which sets of actions can he use to have a statistically fair
game?
Answer:
Counting from the top:
fist option
fourth option
fifth option.
Step-by-step explanation:
Any set that has a multiplicative outcome, such that the total number of outcomes is 24.
Remember that if we have a combination of two events, one with N outcomes and the other with M outcomes, the total number of outcomes is:
M*N
This is the main thing we need to see.
Let's analyze each option:
1) flip a coin (2 outcomes)
flip a coin again (2 outcomes)
roll a 6 sided dice ( 6 outcomes)
total number of outcomes:
2*2*6 = 24
2) Selecting a number from 1 to 16 (16 outcomes) and rolling a dice of 8 sides (8 outcomes).
The total number of outcomes is:
8*16 = 128
We wanted only 24.
3) Selecting a number from the set {1, 3, 5, 7, 9} (5 outcomes)
flip a coin (2 outcomes)
flip the coin again (2 outcomes)
total number of outcomes:
2*2*5 = 20
We wanted 24, we can discard this.
4) Spin the thing (3 outcomes)
roll an 8-sided dice (8 outcomes)
Total number of outcomes:
8*3 = 24
This is a correct option.
5) Select a card from A to D (4 outcomes)
Roll the thing (6 outcomes)
total number of outcomes:
6*4 = 24
This is a correct option.
6) Select a card from A to N {14 options}
Roll the thing once (10 outcomes)
Total number of outcomes:
14*10 = 140
We wanted 24, so we can discard this option.
Then the correct options are:
first one, fourth one, and fifth one.
Please help thanks! I'll make brainliest
Answer:
48m²
Explanation:
since 3cm represents 4m, the width of the dining hall would be 4m. its length on the drawing is 9cm, which is 3 times of 3cm, so we can also multiply 4m by 3 to find the real length of the dining hall. this would give us 12m.
3cm : 4m
(multiply both by 3)
9cm : 12m
now, we can calculate the area of the dining hall using the equation 12m × 4m = 48m².
i hope this helps! :D
A hotel restaurant has a 75% customer approval rating for its service. The restaurant has a 60% customer approval rating for its service and its food. What is the probability that a restaurant customer approves of the food if he or she approves of the service?
The probability that a restaurant customer approves of the food given that they already approved of the service is 0.8, or 80%.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
Let's use Bayes' theorem to solve this problem.
= P(approves of food | approves of service)
By Bayes' theorem, we can express this probability in terms of the probabilities of approving of the service and the food separately:
P(approves of food | approves of service) = P(approves of service and food) / P(approves of service)
We know that the overall customer approval rating for the service is 75%, so:
P(approves of service) = 0.75
We also know that the customer approval rating for both the service and the food is 60%, so:
P(approves of service and food) = 0.60
Substituting these values into the formula, we get:
P(approves of food | approves of service) = 0.60 / 0.75
P(approves of food | approves of service) = 0.8
Therefore, the probability that a restaurant customer approves of the food given that they already approved of the service is 0.8, or 80%.
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The U Gym provides weight resistance through adjustments of incline. The minimum weight resistance is 8% of the weight of the person using the U Gym. Find the minimum weight resistance possible for a 240-pound man.
The minimum weight resistance possible for a 240-pound man is
pounds.
(Type a whole number or a decimal.)
Answer:
The minimum weight resistance possible for a 240-pound man is 19.2 pounds.
Step-by-step explanation:
Since the U Gym provides weight resistance through adjustments of incline, and the minimum weight resistance is 8% of the weight of the person using the U Gym, to find the minimum weight resistance possible for a 240-pound man the following calculation:
240 x 8/100 = X
1,920 / 100 = X
19.2 = X
Thus, the minimum weight resistance possible for a 240-pound man is 19.2 pounds.
Which sentence represents the perimeter
of a square?
A. length x width =P
B. (length x width) x 2 =P
C. length + length + width + width =P
D. (length + length) x (width + width) = P
Answer:
c
Step-by-step explanation:
Two methods are proposed to measure the effectiveness of a brand of sunscreen.
Method A: Survey adults visiting a beach on a busy weekend. Ask each adult which brand of sunscreen they are using, and assess their arms for sun exposure.
Method B: Volunteers are randomly assigned to one of two brands of sunscreen. Each volunteer is asked to report back at the end of the day, and their arms are assessed for sun exposure.
Which statement is a correct interpretation of these methods?
Both methods are experiments because sun exposure is assessed in both methods.
Both methods are observational studies because neither method attempts to influence responses.
Method A is an experiment because it compares many brands of sunscreen, while method B is an observational study.
Method B is an experiment because it randomly assigns volunteers a sunscreen, while method A is an observational study.
Answer: Method B is an experiment because it randomly assigns volunteers a sunscreen, while method A is an observational study.
Step-by-step explanation:
Based on the information given, we can infer that method A is an observational study. An observational study simply refers to the study whereby the researchers just observe the impact of a rise factor without them trying to change the people or things exposed to it. This can be seen as the survey adults visited the beach on the busy weekend asking each adult the brand of sunscreen that they use and then assess their arms for sun exposure.
Method B is an experiment. An experiment refers to a test that's carried out in order to evaluate a particular hypothesis or theory. Method B is an experiment because it randomly assigns volunteers a sunscreen.
Therefore, the correct option is D.
Emily surveyed 364 people with 3 out of 7 answered yes