Answer:
The famous point G that everyone enjoys... of course it represents a point of a graph! What else could it be? G stands for graph.
Braden bought a piece of commercial real estate for $101,234. The value of the real estate appreciated at a constant rate per year. The table shows the value of the real estate after the first and second years: Year 1 2 Value (in dollars) $104,271. 02 $107,399. 15 Which function best represents the value of the real estate after t years? f(t) = 101,234(1. 03)t f(t) = 101,234(0. 03)t f(t) = 104,271. 02(1. 03)t f(t) = 104,271. 02(0. 03)t.
The function that best represents the value of the real estate after t years is: [tex]f(t) = 101234(1.03)^t[/tex]
The table is represented as:
Years - Values
1 - $104,271. 02
2 - $107,399. 15
Appreciation and depreciation are often represented using exponential function as follows:
[tex]f(x) = ab^x[/tex]
At year 1, we have:
[tex]104271. 02 = ab^1[/tex]
[tex]104271. 02 = ab[/tex]
At year 2, we have:
[tex]107399. 15 = ab^2[/tex]
Divide both equations
[tex]\frac{107399.15}{104271.02} = \frac{ab^2}{ab}[/tex]
[tex]1.03 = b[/tex]
Rewrite as:
[tex]b = 1.03[/tex]
He bought the real estate for $101,234.
So, we have:
[tex]a = 101234\\[/tex]
Substitute values for (a) and (b) in [tex]f(x) = ab^x[/tex]
[tex]f(x) = 101234(1.03)^x[/tex]
Replace x with t
[tex]f(t) = 101234(1.03)^t[/tex]
Hence. the function that best represents the value of the real estate after t years is: [tex]f(t) = 101234(1.03)^t[/tex]
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Mathew grew a sunflower that was 1 7/8 meters tall. She cut 3/4meters off the height. How much of the steam is left?
28 less than twice a number is equal to 6 . Find the number.
Answer:
x = 17
Hope you could get an idea from here.
Doubt clarification - use comment section.
What is the full length of the segment?
Answer:
2
Step-by-step explanation:
if the angle of the two triangles are the same,
6 is 2/3 of nine
Therefore,
2/3x3=2
How many solutions does this system of equations
have?
Infinite
None
One
Answer:
Step-by-step explanation:
None
The hint is in the slopes which is the number in front of x. Both equations have a slope of 1/2
The y intercepts are different (4 for the top one 2 for the bottom one). That tells you that you have two lines and not one of top of the other. These two lines never meet, because the slopes are the same. Therefore there are no values that both lines have in common.
That makes the answer none.
The least common multiple of two whole numbers is 28 the ratio of the greater number to the lesser number is 7:2 what are the two numbers
Answer:
14, 4
Step-by-step explanation:
First things first, we can name out pairs with the ratio of 7:2.
7, 2
14, 4
21, 6
We can then test these pairs out with the first condition and find the answer.
The least common multiple has to be 28:
LCM(7, 2) = 14
LCM(14, 4) = 28
Ah, ha! We can see that the least common multiple of 14 and 4 is 28.
y=-1,X+2y=9 solve by substitution show all work
Answer:
x = 11
Step-by-step explanation:
Substitute y = -1 into the equation.
x+2y = 9
; x+2(-1) = 9
x+(-2) = 9
x-2 = 9
x = 9+2
x = 11
Find the change in profit in dollars for each owner.
A. –43,200
B. 675
C. –675
D. 5,39
plssssssssssssssssss
Answer:
1. RQP
2. QOP
Step-by-step explanation:
the answer for the first question is RQP and the answer for the second question is QOP
Answer:
i)PQO
ii)QOP
Step-by-step explanation:
Which is the value of x?
10
7
Answer: 12.2
Step-by-step explanation: Pythagorean Theorem
Sophia wants to buy a digital camera for $145.40. She has $ 37.90 and is saving $ 2.50 each week. In how many weeks will she have enough money saved to purchase the camera?
Answer:
43 weeks
Step-by-step explanation:
145.40 - 37.90 = 107.5
107.5/2.50 = 43
Marsha used a graphing calculator to graph an expense and a revenue function for her family’s printing business. The graph looked like the one below. What are the approximate breakeven points? *
The approximate breakeven points of the given functions are 15 and 47.
The breakeven point is the point where the total revenue equals to total expenses.
At this point, there is no profit or loss. That is the net profit is zero and he net loss is zero.
From the given graph, the dashed line represents the expense function while the solid line represents the revenue function.
The breakeven point occurs at the intersection of the expense and revenue line.The first breakeven point occurs at x = 15.The second breakeven point occurs at x = 47.Thus, the approximate breakeven points of the given functions are 15 and 47.
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Answer: 15 and 47
Step-by-step explanation:
Write your own formula. List the first 4 terms and solve for the 10th term using the formula.
Answer:
Below
Step-by-step explanation:
Formula for an arithmetic sequence is an = 4n - 5
First 4 terms are
-1, 3, 7, 11.
10th term = 4(10) - 5
= 35.
How do I factor this problem?
Answer:
[tex]7x(4x-1)[/tex]
Step-by-step explanation:
First, find the largest integer that divides evenly into both numbers. In this case, 28 and 7 are both divisible by 7.
Next, find the highest degree of the variable that divides evenly into both. Here, that's just x. I'll show another example of that below.
Multiply those together, and you get 7x. That is what we need to factor out. Divide by that factor while multiplying by that factor at the same time to keep the value of the expression equal:
[tex]28x^2-7x\\\\7x(\frac{28x^2}{7x}-\frac{7x}{7x})\\\\7x(4x-1)[/tex]
Another example of what I said above would be this:
Take 4x + 2. The largest integer that divides these is 2, and the highest degree of x that divides them is 0. That is an x⁰, and that is equal to 1. Multiply those, and you just get 2.
[tex]4x+2\\\\2(\frac{4x}{2}+\frac{2}{2})\\\\2(2x+1)[/tex]
what is the difference in length between a 1 1/4 and 3/8
Answer:
7/8
Step-by-step explanation:
1 1/4 is the same as 5/4.
5/4 is also the same as 10/8.
The distance from 3/8 to 10/8 is 7/8.
Hope that helps
Answer:
1 1/4 - 3/8
5/4 - 38
10/8 - 3/8
7/8
The teacher collected some snowfall data during one of the snow days last year. Estimate the total snowfall throughout the day.
The total snowfall throughout the day is the expected value of the distribution.
The estimated total snowfall during the day is 30 inches
Start by calculating the average rate of snow collected on that day.
[tex]Rate = \frac{0 + 1.5 + 2.5 + 2.0 +1.0 +0.5}{6}[/tex]
This gives
[tex]Rate = \frac{7.5}{6}[/tex]
Divide 7.5 by 6
[tex]Rate = 1.25[/tex]
There are 24 hours in a day.
So, the total snowfall is:
[tex]Total = Rate \times Hours[/tex]
This gives
[tex]Total = 1.25 \times 24[/tex]
Multiply
[tex]Total = 30[/tex]
Hence, the estimated total snowfall during the day is 30 inches
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What is the length of the mid segment AB??
Answer:
14.5
Step-by-step explanation:
AB is halfway between MN and PO. this means it would be the distance halfway between 9 units (length of MN) and 20 units (length of PO). to find this, find the average of 20 and 9. 20+9= 29. 29/2= 14.5
A camp charges $75 per day to use the camp plus $15 per day for food and supplies for each student. The cost for one day can be modelled using the equation C= 15s + 75.
a) What do the variables C and s represent?
b) A school raised $375 for a one-day trip. How many students can go?
((see pic for textbook question))
b:375:75=5 or 370:100=3.75 but it doesn't make sence B=5
What is the area of the figure?
Answer:
So the answer would be 21 because the side is longer than 12 but not longer than 21
Does anybody know what Savvas is? cause I don't know the answer to 6.4 x 3.7 can anybody help.
Answer: I'm not sure what Savvas is, but the answer to your second question is 23.68.
Step-by-step explanation: This can be solved using the stacking method of multiplication, like so:
6.4
x3.7
You would multiply this equation as if there are no decimals, (first doing 7x4, and then 7x6 + 2, then adding a zero to your ones place at the bottom, and doing 3x4, the 3x6 + 1), to get 2348. You then would add the decimals in by moving over 2 places to the left.
Two what expression must 5a²-4a+3 be added to make the sum zero?
g^2+(-4g^4)+5g+9+(-3g^3)+3g^2+(-6)
Which expression has a sum of 1 2/21
A. 3/7 + 2/3
B. 4/7 + 1/3
C. 5/7 + 2/3
D. 6/7 + 1/3
Answer:
A. is the answer
Step-by-step explanation:
the LCM of 7 and 3 is 21.
When added it would be 9+14 =23
23/21= 1 2/21
Write an equation of a line that is parallel to y = -3x + 5 and passes through (0, 3).
Answer in slope-intercept form
Answer:
A line parallel to this one would have a slope of 3. where m is the slope and b is the y intercept. In this case, the equation y=3x+5 is already in slope intercept form, which means the slope is 3. Parellel lines have the same slope, so any other line with slope 3 is parallel to this line.
I think that's the answer
Answer: y = -3x - 3
Step-by-step explanation:
If you are looking for a line that is parallel, then it must have the same gradient
Therefore;
y= -3x +c
And because it passes through (0,3), substitute in the values to find c
3 = -3 x 0 + c
c = 3
So the equations would be y = -3x -3
If the points (2,7),(-3,3) and (5,1) are the vertices of a triangle ,find the length of the median drawn through the first vertex.
Answer:
√26 ≈ 5.10 units
Step-by-step explanation:
The midpoint to which the median is drawn is ...
M = (B +C)/2
M = ((-3, 3) +(5,1))/2 = (-3+5, 3+1)/2 = (2, 4)/2 = (1, 2)
The distance between the first vertex and this point is given by the distance formula.
d = √((x2 -x1)^2 +(y2 -y1)^2)
d = √((2 -1)^2 +(7 -2)^2) = √(1^2 +5^2) = √26 ≈ 5.0990 ≈ 5.10
The length of the median is √26 units.
Mr. and Mrs. Ozawa are driving their family to a vacation spot 496 miles away. They want to get there in 8 hours. What is the average speed they need to drive?
The average speed Mr and Mrs Ozawa should drive is 62 miles per hour.
What is the difference between average and instantaneous speed?The average speed is calculated for a period of time while instantaneous speed is calculated at certain instant of time.
For instantaneous speed and average speed are equal for an object moving with constant speed.
The total distance travelled is given as 496 miles.
And, the total time taken is 8 hours.
Average speed can be calculated by taking the ratio of total distance and time as follows,
Total distance ÷ Total time
⇒ 496 ÷ 8
⇒ 62
Hence, the average speed is given as 496 miles per hour.
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The statue of liberty casts a 122 foot shadow at the same time ryan casts a 2 foot shadow. If the statue of liberty is 305 feet tall how tall is ryan?
Step-by-step explanation:
2 objects and their shadows create 2 similar right-angled triangles.
that means all angles are the same, and the side lengths of one triangle correlate to the corresponding side lengths of the other triangle via the same factor.
so,
122 × f = 2
f = 2/122 = 1/61
therefore, Ryan is
305 × f = 305 × 1/61 = 5 ft
tall.
If the Statue of Liberty is 305 feet tall, Ryan is 5 feet tall.
What is proportion?A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio.
Given that,
The length of shadow of Statue of Liberty = 122 foot.
The length of shadow of Ryan = 2 foot.
Also, the height of Statue of Liberty = 305 feet.
Let the height of Ryan = x
To find the value of x,
Use ratio and proportion method,
122 / 305 = 2 / x
x = 2 x 305 / 122
x = 305 / 61
x = 5
The height of Ryan is 5 feet.
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Express 30^2/3 in simplest radical form.
Answer:
300
Step-by-step explanation:
PLEASE NO LINKS AND NO NEGATIVITY
Mr Page uses oil to heat his home.
At the beginning of November there were 1000 litres of oil in his oil tank.
Mr Page bought enough oil to fill the tank completely.
He paid 50p per litre for this oil.
He paid a total amount of £750
At the end of February Mr Page had 600 litres of oil in the tank.
He bought enough oil to fill the tank completely.
The cost of oil had increased by 4%.
Work out the total amount Mr Page paid for the oil he bought in February.
The total amount Mr Page paid for the oil he bought in February was $21,580.
Since Mr Page uses oil to heat his home, and at the beginning of November there were 1000 liters of oil in his oil tank, and Mr Page bought enough oil to fill the tank completely, and he has paid $50 per liter for this oil, and he has paid a total amount of $750, while at the end of February Mr Page had 600 liters of oil in the tank, and he has bought enough oil to fill the tank completely, and the cost of oil had increased by 4%, to determine the total amount Mr Page paid for the oil he bought in February, the following calculation must be performed:
1000 + (750 / 50) = X1000 + 15 = X1015 = X1015 - 600 = 415415 x (50 x 1.04) = X415 x 52 = X21,580 = XTherefore, the total amount Mr Page paid for the oil he bought in February was $21,580.
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