Answer:
total of 482
Step-by-step explanation:
He sold 1940
20% on first 500
500 *.20 = 100 commission
Then 25% on the next 1000
1940 -500 = 1440 left
He has 1000
1000 * 25%
1000*.25 = 250 commission
1440-1000 = 440 left
440 at 30%
440*.30 =132 commission
Add together
100+250+132 = 482
Given the geometric sequence an with the following information, find a7.
To find the value of Az in the geometric sequence, we can use the given information. The geometric sequence is represented as follows: A3, 60, 160, 06 = 9.
From this, we can see that the third term (A3) is 60 and the common ratio (r) is 160/60.
To find Az, we need to determine the value of the nth term in the sequence. In this case, we are looking for the term with the value 9.
We can use the formula for the nth term of a geometric sequence:
An = A1 * r^(n-1)
In this formula, An represents the nth term, A1 is the first term, r is the common ratio, and n is the position of the term we are trying to find.
Since we know A3 and the common ratio, we can substitute these values into the formula:
60 =\(A1 * (160/60)^(3-1)\)
Simplifying this equation, we have:
\(60 = A1 * (8/3)^260 = A1 * (64/9)\)
To isolate A1, we divide both sides of the equation by (64/9):
A1 = 60 / (64/9)
Simplifying further, we have:
A1 = 540/64 = 67.5/8.
Therefore, the first term of the sequence (A1) is 67.5/8.
Now that we know A1 and the common ratio, we can find Az using the formula:
Az = A1 * r^(z-1)
Substituting the values, we have:
Az =\((67.5/8) * (160/60)^(z-1)\)
However, we now have the formula to calculate it once we know the position z in the sequence.
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Find the area of the figure
Answer:
132cm^2
Step-by-step explanation:
to solve for the area of this we can split it into smaller shapes and sum the areas afterward-
the top rectangle has an area equal to Length x Width
4x7 = 28cm^2
the centre rectangle is done similarly-
7x8 = 56cm^2
lastly the two triangles which are solved with base x height divided by two
now since we know that the centre piece is 7cm across, and that the two side triangles are equal in size, that means that we know the base to be 19-7 divided by 2 which gives 6 each-
\(\frac{(6)(8)}{2}\) (2) = (6)(8) = 48cm
now summing them we have 28 + 56 + 48 = 132cm^2
Identify the steps involved in proving p if and only if and (p and q) or (not p and not q) are logically equivalent
Answer:
hello hello hello hello hello hello hello
. In 1940 the average size of a U.S. farm was 174 acres. The standard deviation was 45 acres. Define the random variable x in words. X = _________.
Answer:
232343
Step-by-step explanation:
4343
Answer:
its 102002i45-08-5983-958y7 jnskp;xjgbna;xjgna['hg[ohj who cares about you
Step-by-step explanation:
solve the inequality 3>5-b
Answer:
I'm pretty sure its b>2
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
3>−b+5
Step 2: Flip the equation.
−b+5<3
Step 3: Subtract 5 from both sides.
−b+5−5<3−5
−b<−2
Step 4: Divide both sides by -1.
-b/-1 < -2/-1
Answer:
b>2
In the addition problems below A, B, and C are digits. If C is placed in the tens
column instead of the ones column as shown at the right, the sum is 97. What are
the values of A, B, and C?
AB + C = 52
AB+ (C x 10) = 97
The values of A, B, and C are mathematically given as
A=48/BB=48/AC=5This is further explained below.
What are the values of A, B, and C?Generally, the equation for the statement is mathematically given as
AB + C = 52
AB+ (C x 10) = 97....1
Using the substitution technique we have
AB = 52- C ....2
Subbing 2 in 1
AB+ (C x 10) = 97
Therefore
52- C + 10C = 97
9C=97-52
9C=45
C=5
In conclusion,
AB = 52- C
AB = 52- 5
AB=48
A=48/B
Hence
B=48/A
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Please help me solve this cryptarithm. I will be grateful and you will earn 10 points.
Step-by-step explanation:
First, S must be 4, as if S was 5 the sum would be a 4 digit number.
T+N should be greater than 10 as we want to find the maximum.
Similarly, A+U must be greater than 10, making O equal to 9
We know that A+U-10 = T+N if T+N is less than 10 -- if T+N is greater than 10, A+U-10 = T+N - 10
Writing a quick python script that's not the cleanest nor most concise, I have
import pandas as pd
sols = []
sols_combos = []
num_sols = 0
for a in range(0, 10):
for u in range (0,10):
for t in range(0,10):
for n in range(0,10):
if (len({a,u,t,n}) == 4) & (4 not in {a,u,t,n}) & (9 not in {a,u,t,n}):
if (a+u >= 10):
if (t+n >= 10):
if ((a+u-10) == (t+n-10)):
sols.append(a+u-10)
sols_combos.append([a,u,t,n])
num_sols += 1
else:
if ((a+u-10) == (t+n)):
sols.append(a+u-10)
sols_combos.append([a,u,t,n])
num_sols += 1
list_max = [i for i, x in enumerate(sols) if x == max(sols)]
pd.Series(sols_combos).loc[list_max]
as my script.
the maximum I get for F is 5, and the solutions, in terms of A, U, T, and N are as follows:
[7, 8, 0, 5]
[7, 8, 2, 3]
[7, 8, 3, 2]
[7, 8, 5, 0]
[8, 7, 0, 5]
[8, 7, 2, 3]
[8, 7, 3, 2]
[8, 7, 5, 0]
This means that F is 5
EASY
A broken thermometer reads 33° F, but Kira knows that the temperature is at least 33° F, if not even colder. Which of the following inequalities, shows the possible temperatures?
t ≤ 33° F
t ≥ 33° F
t > 33° F
t < 33° F
Answer: t ≥ 33
Step-by-step explanation:
So the temperature has to equal to 33 or less than 33.It can't be greater than 33.
joy has 7 gallons of bird seed if she fills her bird feeder with 2 cups of bird seed each day how many days will the bird seed last
Answer:
Well, 7 gallons is equivalent to 112 cups, and 112 divided by 2 is 61. SO 61 days
Step-by-step explanation:
Cierto turista contrata un paquete de viaje internacional a un costo
de 720 dólares, pero también recibe la información, que si desea
tours extras a los que contiene su paquete de viaje le costará 35
dólares por cada tour adicional. Determinar ¿Cuál es la función de
inversión del turista?
The tourist's investment function can be expressed as follows:
f(x) = 720 + 35x
According the question,
The tourist's investment function can be expressed as follows:
f(x) = 720 + 35x
Where x represents the quantity of additional tours that the tourist wants to add to their travel package.
The function f(x) represents the total cost of the travel package plus the additional cost of the extra tours.
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The Power of a Product rule says that when we multiply expressions with
variables we...
Answer:
simplify a power of a power by multiplying the exponents and keeping the same base.
Step-by-step explanation:
Determine the value of h in the equation 1/5+h=7/5. 6/5 8/25 6/25 8/5
The value of {h} is equivalent to 6/5.
What is a function?A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that function takes.
Given is the function as follows -
(1/5) + h = (7/5)
We can write the function as -
(1/5) + h = (7/5)
h = 7/5 - 1/5
h = (7 - 1)/5
h = 6/5
Therefore, the value of {h} is equivalent to 6/5.
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Sophie pays m dollars to rent a car for the weekend. On the drive home, she buys $25 worth of gasoline. Her friend melody pay for one-half the cost of the car rental only.Choose an expression you could use to determine how much Sophie spent.
Answer:
25-1/2=
Step-by-step explanation:
Steven paid $60 for 3 cardio dance workout classes. He’s trying to set up an equation to help him find the cost of each class. What should Steven put in the blank of the following equation? c=$___÷3?
Answer:
c=$60/3. $20 dollars per class.
Step-by-step explanation:
Solve 3-x/2<18.
A. X>-42
B. x > -30
C. X< -30
D. X<42
The solution of the given equation will be C -x< 30
What does it mean to solve an equation?An equation represents the equality of two or more mathematical expressions.
A Solutions to an equation are those values of the variables, involved in that equation for which the equation is true.
We have been given the equation as 3-x/2<18.
Now solving for x
3-x/2<18.
Eliminate 3
-x/2 < 18 - 3
-x/2 < 15
Multiply by 2 on both sides;
-x/2 < 15 (2)
-x< 30
Therefore, the solution of the given equation will be C -x< 30
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which must be true in order for the relationship zyx~wvu to be correct
In order for the relationship zyx ~ wvu to be correct, the following conditions must be true:
Corresponding angles are congruent: The angles formed by matching vertices should have the same measures in both triangles. This ensures that the corresponding angles are equivalent.
Corresponding sides are proportional: The lengths of the sides that connect the corresponding vertices of the triangles should have a consistent ratio. This implies that the corresponding sides are proportional to each other.
These conditions are based on the definition of similarity between two triangles. If both the corresponding angles are congruent and the corresponding sides are proportional, then the triangles zyx and wvu are considered similar (denoted by ~).
Therefore, in order for zyx ~ wvu to be correct, the congruence of corresponding angles and the proportionality of corresponding sides must hold true.
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I need Help please!!!
Step-by-step explanation:
it seems you solved the tricky part yourself already.
just to be sure, let's do the first derivative here again.
the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...
f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =
= 3t⁴ + 18t³ + 24t² + 18t + 21
f'(t) = 12t³ + 54t² + 48t + 18
and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).
we simply put the input number (2) at every place of the input variable (t).
so,
f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =
= 426
find the height of the building when x = 3m, y = 6m, and d = 6m
Answer:
To find the height of the building, we can use the following formula:
height = y(d-x)/x
Substituting the given values, we get:
height = 6(6-3)/3
height = 6(3)/3
height = 6 meters
Therefore, the height of the building is 6 meters.
What is the slope of the line segment that passes through
points (1,3) and (5, 13)?
Answer: 5/2
Step-by-step explanation:
slope equation: (y2-y1)/(x2-x1)
13-3/5-1 = 10/4 or 5/2
Answer:
2.5
Step-by-step explanation:
Gradient (slope) =
\(m = \frac{y2 - y1}{x2 - x1} = \frac{13 - 3}{5 - 1} = \frac{10}{4} = 2 \frac{1}{2} \)
Find the value of x.
R
(2x + 3)^
25°
Q
S
(3x – 17) 10
(
O
Answer:
10
Step-by-step explantion
Simplifying
2x + 3 + 25 = 3x + -17
Reorder the terms:
3 + 25 + 2x = 3x + -17
Combine like terms: 3 + 25 = 28
28 + 2x = 3x + -17
Reorder the terms:
28 + 2x = -17 + 3x
Solving
28 + 2x = -17 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
28 + 2x + -3x = -17 + 3x + -3x
Combine like terms: 2x + -3x = -1x
28 + -1x = -17 + 3x + -3x
Combine like terms: 3x + -3x = 0
28 + -1x = -17 + 0
28 + -1x = -17
Add '-28' to each side of the equation.
28 + -28 + -1x = -17 + -28
Combine like terms: 28 + -28 = 0
0 + -1x = -17 + -28
-1x = -17 + -28
Combine like terms: -17 + -28 = -45
-1x = -45
Divide each side by '-1'.
x = 45
Simplifying
x = 45
Answer:
x = 45Step-by-step explanation:
Exterior angle is same as sum of two remote interior angles:
2x + 3 + 25 = 3x - 172x + 28 = 3x - 173x - 2x = 28 + 17x = 45Brooklyn is going to invest in an account paying an interest rate of 3.5% compounded continuously. How much would Brooklyn need to invest, to the nearest ten dollars, for the value of the account to reach $64o in 9 years?
Brooklyn needs to invest $432.43, rounded to the nearest ten dollars.
To determine how much Brooklyn needs to invest in an account that pays a continuously compounded interest rate, we can use the formula:
A = \(Pe^(^r^t^)\)
where A is the future value of the account, P is the principal investment, e is the mathematical constant approximately equal to 2.71828, r is the interest rate, and t is the time in years.
In this case, we want the future value of the account to be $640, the interest rate is 3.5% (or 0.035 as a decimal), and the time is 9 years. We can substitute these values into the formula and solve for P:
640 = \(Pe^(^0^.^0^3^5^*^9^)\)
640 = Pe^0.315
P =\(640/e^0^.^3^1^5\)
P = 432.43
Therefore, to have a future value of $640 in 9 years with a continuously compounded interest rate of 3.5%.
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A new car is purchased for $47, 000 and over time its value depreciates by one half
every 4.5 years. What is the value of the car 23 years after it was purchased, to the
nearest hundred dollars?
Answer:
$1500
Step-by-step explanation:
you can figure it out by going in increments of 4.5 years because that is the info you have from the problem so
47000 4.5 years later is 23500
9 years = 11750
13.5y = 5875
18y = 2937.5
22.5 years later is 1468.75
22.5 years is about 23 years and to the nearest hundred dollars that is $1500 so that is the answer
Hope this helps! :)
we know the car depreciates every 4.5 years, and we also know its by one half or namely the depreciation rate is 50% of its value.
\(\textit{Periodic/Cyclical Exponential Decay} \\\\ A=P(1 - r)^{\frac{t}{c}}\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &47000\\ r=rate\to 50\%\to \frac{50}{100}\dotfill &0.5\\ t=years\dotfill &23\\ c=period\dotfill &4.5 \end{cases} \\\\\\ A=47000(1 - 0.5)^{\frac{23}{4.5}}\implies A=47000(0.5)^{\frac{46}{9}}\implies A\approx 1400\)
Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.
Answer to this problem
Answer:
The answer would be E, the tire makes 700 revolutions in 2 minutes.
Step-by-step explanation:
One revolution is equal to the circumference of the tire :
\(C = 2\pi r = 2(1)(\frac{22}{7} ) = \frac{44}{7}\)
The car travels at 2,200 feet per minute. To calculate the number of revolutions, divide the speed by the circumference.
\(2,200\) ÷ \(\frac{44}{7}\) = 350
This means that in 1 minute the tire makes 350 revolutions. To find out how many revolutions the tire would make for 2 minutes you simply multiply by 2.
350*2 = 700
So the answer would be E, the tire makes 700 revolutions in 2 minutes. Hope this helps, please mark brainliest!
What is the equation of the line that passes through (2,-6) and has a slope of -1
Please help me answer the question in the file link
Answer:
x=65
Step-by-step explanation:
So how I would think the equation would be would be 108 + x = 173. So how I would solve this is subtracting 108 from both sides to get x = 65. There is most likely a different way to set this up but thats what comes to mind with me.
Write a multiplication expression without exponents that is equivalent to 3^4
How many factors of 3 did you write?
Answer:
Answer: 3⁴ = 3×3×3×3
3⁴ means multiply four threes together.
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
You just needed to Multiply maning the three, 4 times
Question 5 of 13, Step 1 of 1
3/15
Correct
2
The Chandlers are moving across the country. Mr. Chandler leaves 2.5 hours before Mrs. Chandler. If he averages 75 mph and she averages 85 mph, how many hours
will it take Mrs. Chandler to catch up to Mr. Chandler?
Answer:
It will take Mrs Chandler 18 hours 45 minutes or 18.75 hours to catch up Mr Chandler
Step-by-step explanation:
What we want to know here is that at how many hours will they have traveled same distance.
Let the total time taken by Mrs Chandler to catch up be x hours
Since Mr Chandler left 2.5 hours earlier , then the total time taken by him would be x + 2.5 hours
Now, we know that distance = speed * time
Since it’s same distance covered;
For Mr Chandler, his distance is calculated as 75(x + 2.5)
For Mrs Chandler, her distance is calculated as 85x
We equate both since they are equal;
75(x + 2.5) = 85x
75x + 187.5 = 85x
85x -75x = 187.5
10x = 187.5
x = 18.75 hours or 18 hours 45 minutes
A health club charges a one-time sign-up fee and a monthly membership fee. The
equation y = 28x + 50 represents what the health club charges. Find the rate of
change.
Answer:
The rate of change is 28.
Step-by-step explanation:
The equation is in slope-intercept form, y = mx + b, where m is the slope, and b is the y-intercept.
The vertices of a figure are A(2,-2), B(4,-1),C(4,-3),and D(2,-4).
Rotate the figure 90° counterclockwise about the origin. Find the coordinates of the image.
Check the picture below.