Answer:
$3109.97.
Step-by-step explanation:
Number of hours in a year = 365*24 = 8760 hours
Balance = 3000(1 + 0.018/8760)^(2*8760)
= 3109.967.
8 11/15= 7 ?/15 help me
Answer:
[tex]7 \frac{26}{15}[/tex]
Step-by-step explanation:
[tex]8 \frac{11}{15} = 7 \frac{?}{15}[/tex]
Remember the multiply and add rule or improper fractions. To convert from a mixed number to an improper fraction, one must multiply the number part of the mixed number by the bottom (denominator) on the fraction. Then one must add that to the numerator (top) of the fraction. Since 7 is 1 less than 8, then one would have to multiply 15 by 1, and add it to 11, to get the value on top of [tex]7 \frac{?}{15}[/tex] The value would be;
[tex]7 \frac{26}{15}[/tex]
Answer:
7 26/18
Step-by-step explanation:
Together, teammates Pedro and Ricky got 2686 base hits last season. Pedro had 276 more hits than Ricky. How many hits did each player have?
Answer:
Ricky had 1205 hits. Pedro had 1481 hits.
Step-by-step explanation:
Set variables.
Pedro = pRicky = rSet up an equation.
Pedro and Ricky got 2686 base hits total.
p + r = 2686Pedro had 276 more hits than Ricky.
p = r + 276Plug p into your first equation.
(r + 276) + r = 2686Combine like terms.
2r + 276 = 26862r = 2410Divide both sides by 2 to isolate r.
r = 1205You now know that Ricky had 1205 hits. Pedro had 276 more hits than Ricky. Therefore,
p = r + 276p = 1205 + 276p = 1481Pedro had 1481 hits.
Check your work.
total hits = Pedro's + Ricky's
2686 = 1481 + 1205
2686 = 2686
Pedro's hits = Ricky's hits + 276
1481 = 1205 + 276
1481 = 1481
Your answers are correct.
Simplify n^4 divided by n1/2
Given:
Consider the expression is
[tex]\dfrac{n^4}{n^{\frac{1}{2}}}[/tex]
To find:
The simplified form of the given expression.
Solution:
We have,
[tex]\dfrac{n^4}{n^{\frac{1}{2}}}[/tex]
Using the properties of exponents, we get
[tex]=n^{4-\frac{1}{2}}[/tex] [tex]\left[\because \dfrac{a^m}{a^n}=a^{m-n}\right][/tex]
[tex]=n^{\frac{8-1}{2}}[/tex]
[tex]=n^{\frac{7}{2}}[/tex]
Therefore, the simplified form of the given expression is [tex]n^{\frac{7}{2}}[/tex].
What is the parallel slope of m= -2
PLEASE HELP ILL GIVE BRAINLIEST AND FOLLOW
Answer:
Hope this helps xD
Step-by-step explanation:
Which word describes the slope of the line?
O positive
O negative
O zero
O undefined
Answer:
O negative
Step-by-step explanation:
Answer:
Negative
Step-by-step explanation:
The slope is going diagonally to the bottom right which makes it negative.
A slope would be undefined if it went straight up.
A slope would be zero if it went horizontally.
A slope would be positive if it were going up (opposite of negative!)
Hope this helps!
The function f(t) = 180(1.01) 6 represents the change in a quantity over i years.
What does the constant 1.01 reveal about the rate of change of the quantity?
Step-by-step explanation:
3 divide 180 230 7 c=mc square that eaquls 2
Triangle PQR is similar to triangle XYZ
Select all angles that have a cosine of 9/15
Answer:
Step-by-step explanation:
All the angles that have a cosine of 9/15 are,
⇒ ∠P and ∠X
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
Triangle PQR is similar to triangle XYZ.
Hence, We get;
In triangle PQR,
cos P = 9/15
And, In triangle XYZ,
cos X = XZ / ZY
cos X = 9 / 15
Thus, All the angles that have a cosine of 9/15 are,
⇒ ∠P and ∠X
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I will give brainiest to whoever answers correctly !!
Please do not steal my points I'm tired of it put a legit answer or leave!! I will give brainiest to whoever answers correctly!!
Answer:
1,897.19
Step-by-step explanation:
Answer: $ 1959.66
A = Accumulated Amount
P = Principle / first contribution ($10)
PMT = Regular contributions / additional money added to investment) ($10)
r = Interest rate (9% / 0.09)
n = compounding frequency per year (12 = monthly, 4 = quarterly, 2 = semi-annually, 1 = annually ) (12)
t = number of years (10)
Plug the numbers into this formula and your calculator should get 1959.66
Formula: A = P (1 + r/n) + PMT (1+r/n) to the power of nt -1
(r/n)
i giveee brainlilstttt
Answer:
(5,-3)
Step-by-step explanation:
On the x-axis, go 5 points to the right and on the y-axis go 3 points down the the negative 3 and the point N crosses at (5,-3)
Answer:
vxdfvdvdxv
Step-by-step explanation:
svvddddddddddddddddddd
Sin x = cos 15 and 0 < x < 90, what is x
Answer:
i am not pretty sure what is X but the answer is 1/2 i think!
Step-by-step explanation:
What are the domain and range of the function ?
The number of visits to public libraries increased from 1.3 billion in 1998 to 1.5 billion in 2002. Find the average rate of change in the number of public library visits from 1998 to 2002.
Answer: The average rate of change in the number of public library visits from 1998 to 2002 = 0.05 billion per year.
Step-by-step explanation:
Given: Number of visits in 1998 = 1.3 billion
Number of visits in 2002 = 1.5 billion
The average rate of change in the number of public library visits from 1998 to 2002 = [tex]\dfrac{\text{Number of visits in 2002 - Number of visits in 1998}}{2002-1998}[/tex]
[tex]=\dfrac{1.5-1.3}{4}\\\\=\dfrac{0.2}{4}\\\\= 0.05 \text{ billion per year.}[/tex]
Hence, the average rate of change in the number of public library visits from 1998 to 2002 = 0.05 billion per year.
Calculate a rough estimate of the total lineal footage of lumber needed for a rectangular house 35’ x 40’?
A. 375’
B. 1,500’
C. 3,000’
D. 750’
Answer:
B. 1,500’
Step-by-step explanation:
Given;
dimension of the rectangular house, = 35’ x 40’
The actual total linear footage of lumber needed = 35’ x 40’ = 1,400'
The rough estimate should be greater than the actual estimate in 100s;
rough estimate = 1,400' + 100' = 1,500'
Therefore, the rough estimate of the total linear footage of lumber needed is 1,500'.
A bicycle tire is slowly losing air. the table shows the air pressure left in the tire after each hour. Which statement about the data in the table is true?
Answer:
the data shows a linear relationship because the rate of change in decreasing
Step-by-step explanation:
hope it helps
If a figure is dilated by a factor of 1.5, the perimeter of the figure will change by a factor
of
Please help dude I don’t understand and I’m trying to get my grade up
Answer: 1.5x
Step-by-step explanation:
If the figure dilates by 1.5 times it will increasingly do the same with the perimeter. It keeps the same ratio of 1.5x.
Ex: If a side of the figure was originally 10 and the dilation factor is 1.5 the side now with be 15. This goes for all sides.
Hope this helps!
how to graph f(x)=7|x -4|-1
Answer:
here I drew it digitally Hope it helps
Step-by-step explanation:
The graph of the function is a V-shaped curve.
Given that we need to determine the graph of the function f(x) = 7|x - 4| - 1.
To graph the function f(x) = 7|x - 4| - 1, you can follow these steps:
Start by identifying the key points of the function. In this case, the function involves an absolute value, which means it may change direction at the point inside the absolute value.
Set the expression inside the absolute value equal to zero and solve for x to find this critical point:
|x - 4| = 0
x - 4 = 0
x = 4
So, the critical point is x = 4.
Next, consider the behavior of the function on each side of the critical point.
Choose some values of x less than and greater than 4 and substitute them into the function to determine the corresponding y-values.
Let's choose x = 2:
f(2) = 7|2 - 4| - 1
f(2) = 7|-2| - 1
f(2) = 7(2) - 1
f(2) = 14 - 1
f(2) = 13
Let's choose x = 6:
f(6) = 7|6 - 4| - 1
f(6) = 7|2| - 1
f(6) = 7(2) - 1
f(6) = 14 - 1
f(6) = 13
Therefore, we have the points (2, 13) and (6, 13) on the graph.
Plot the critical point and the points you found on the coordinate plane. Mark them on the x-axis and y-axis.
To graph the absolute value part of the function, draw a V-shaped curve with the vertex at the critical point (4, 0).
The arms of the V-shaped curve will pass through the plotted points (2, 13) and (6, 13).
Extend the arms of the V-shaped curve indefinitely in both directions.
Finally, add the constant term (-1) by shifting the entire graph down by 1 unit. This means that every y-value on the graph should be reduced by 1 unit.
Your completed graph of the function f(x) = 7|x - 4| - 1 should resemble a V-shaped curve with its vertex at (4, -1), passing through the points (2, 12) and (6, 12), and extending infinitely in both directions.
The graph of the function is attached.
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Three classmates want to know when a tennis ball and a balloon will reach the same vertical height above the ground. David hits a tennis ball with his racquet and Tyler releases a balloon at the same time that Samantha starts a timer. Let x represent the time, in seconds, since the timer starts. The following graph shows the vertical height of the tennis ball and balloon, in feet. Which of the statements best describes the solutions to the system of equations?
There is one possible solution, but it is not viable.
There are two possible solutions, and both solutions are viable.
There are two possible solutions, but only one of the solutions is viable.
There is one possible solution, and it is viable.
The statement that best describes the solutions to the given system of equations - There are two possible solutions, but only one of the solutions is viable.
What is a solution?"It is a point or set of points (x, y) that satisfies all the constraints of the given problem."
What is is viable solution?"It is a solution that makes sense in context as well as mathematically. "
What is system of equations?"It is a set of equations for which we find a common solution."
For given question,
Three classmates want to know when a tennis ball and a balloon will reach the same vertical height above the ground.
Given that, x represents the time, in seconds, since the timer starts.
The graph shows the vertical height of the tennis ball and balloon, in feet.
The solution to the system of equations are the points at which the graphs to the system of equations intersect each other.
From the given graph we can observe that,
the graphs intersect at points having the x values near x = 1.2 and x = -3.2 This means, there are two possible solutions.
But we know that the negative value of x (time) is not viable.
Therefore, the statement that best describes the solutions to the given system of equations - There are two possible solutions, but only one of the solutions is viable.
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Which function has an inverse that is also a function?
Can someone please help me with this problem?
Answer:
The function that has an inverse that is also a function is [tex]x = 3\cdot y + \frac{9}{4 }[/tex].
Step-by-step explanation:
The only function whose inverse is also a function is the linear function, also named first-order polynomial. The inverse of a linear function is also a linear function. That is:
[tex]y = \frac{1}{3}\cdot x -\frac{3}{4}[/tex]
[tex]\frac{1}{3}\cdot x = y + \frac{3}{4}[/tex]
[tex]x = 3\cdot y + \frac{9}{4 }[/tex]
The function that has an inverse that is also a function is [tex]x = 3\cdot y + \frac{9}{4 }[/tex].
On what scale would you measure the number of degrees Fahrenheit to bake
a cake?
A. Thousands
B. Millions
C. Tens
D. Hundreds
a farmers vegetable plot is 27m long and 16m wide how much would her pay to plough it at $50.75 metres quare
Answer:
The cost of 432 meters square = $21924
Step-by-step explanation:
The length of the plot = l = 27m
The width of the plot = w = 16m
We know that the area of a rectangular object can be determined by multiplying the length and width.
Thus, the area of the rectangular vegetable plot will be:
[tex]A = wl[/tex]
substituting w = 16 and l = 27
A = 16 × 27
A = 432 m²
Therefore, the vegetable plot will be:
A = 432 meter square
Given
The cost of ploughing field of 1 meter square = $50.75
so
The cost of ploughing field 432 meters square = 50.75 × 432
= $21924
Therefore, the cost of 432 meters square = $21924
The graph below shows the height through which an elevator travels, y, in x seconds:
A graph is shown with x-axis title as Time in seconds. The title on the y-axis is Height of Elevator Above Ground in feet. The values on the x-axis are from 0 to 5 in increments of 1 for each grid line. The values on the y-axis are from 0 to 75 in increments of 15 for each grid line. A line is shown passing through the ordered pairs 1, 15 and 2, 30 and 3, 45 and 4, 60. The title of the graph is Rate of Ascent.
What is the rate of change for the relationship represented in the graph?
fraction 1 over 15
fraction 1 over 14
14
15
Answer:
D. 15Step-by-step explanation:
Rate of change is:
The change in the height over change in timem = (y2 - y1) / (x2 - x1)Substitute values with ordered pairs:
m = (60 - 15)/(4 - 1)m = 45/3m = 15Correct option is D. 15
Answer:
A line is shown passing through the ordered pairs (1, 15) and (2, 30) and (3, 45) and (4, 60).
The rate of change of height :---
[tex]slope( = m) = \frac{(60 - 15)}{(4 - 1)} = \frac{45}{3} = 15\\[/tex]
D. 15 is the right answer.please help me again i need help i thought i was done :( begging once again.
Answer: y=0.5x-6. She forgot the y-intercept
Step-by-step explanation: use the slope formula to get the slope of 0.5 and just add in the y-intercept of -6 since:
y=mx+b
m=slope
b=y-intercept
Answer:
y = 0.5x - 6
Step-by-step explanation:
[tex]since \: there \: are \: two \: points \: \\ m = \frac{y2 - y1}{x2 - x1} [/tex]
[tex]m = \frac{ - 5 - ( - 7.5)}{2 - ( - 3)} = \frac{2.5}{5} = \frac{1}{2} \: or \: 0.5[/tex]
Standard form of slope-intercept:
y = mx + b
wherein m is the slope and b is the y-intercept.
Let's substitute all values into the equation
[tex]y = 0.5x - 6[/tex]
Anita, Byron, Carlos, and Dominique buy a gift for their grandmother. They split the cost equally and each pay $14.62. Which equation represents d, the cost of the gift in dollars? 14.62 = d minus 4 14.62 = d divided by 4 14.62 minus 4 = d 14.62 divided by 4 = d
Answer:
14.62=d divided by 4
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
What is 22.5 split into 9 equal groups?
Answer:
2.5
Step-by-step explanation:
22.5/9=2.5
The middle school ski club plans ski trips and participants in ski competitions. If 25% of the students participate in ski competition, what fraction of the students participate in the competition.
Answer:
7/9
Step-by-step explanation:
Which of the following is equal to 2 3/7?
5/7
6/7
13/7
17/7
Larissa practices for a swimming tournament
She completes her first lap in 31.135 seconds. She completes her second lap 3.129seconds faster than the complete ter
first lap
How many seconds does it take Larissa to complete both laps?
seconds
Answer:
Larissa takes 59.141 seconds to complete both laps.
Step-by-step explanation:
The complete time is the sum of time taken on each lap. We translate the two statements into mathematical expressions to determine the required output:
(i) She completes her first lap in 31.135 seconds:
[tex]x_{1} = 31.135\,s[/tex]
(ii) She completes her second lap 3.129 seconds faster than the first lap:
[tex]x_{2} = x_{1}-3.129\,s[/tex]
[tex]x_{2} = 31.135\,s - 3.129\,s[/tex]
[tex]x_{2} = 28.006\,s[/tex]
Then, the time taken by Larissa to complete both laps is:
[tex]\Delta x = x_{1} + x_{2}[/tex]
[tex]\Delta x = 31.135\,s+28.006\,s[/tex]
[tex]\Delta x = 59.141\,s[/tex]
Larissa takes 59.141 seconds to complete both laps.
Graph the inequality on the axes below.
x – 2y > 16
Step-by-step explanation:
The given inequality is :
x – 2y > 16
We need to draw the graph of this inequality.
If x = 0,
-2y>16
y>-8
If y = 0,
x>16
So, we can draw the graph as follows :
ok if you can figure this out right your legend
-20 + -3
-10 + -13
-15 + -8
-5 + -18
I hope this helps!
