Answer:
$31,384.28
Step-by-step explanation:
If you're familiar with Pascal's triangle, you probably recognize the digits of the given values match successive lines of that triangle. This immediately suggests that the base of the exponential function is exactly 1.1, and the model can be written immediately as ...
y = 10000(1.1^x)
For x=12, the value of the investment is predicted to be ...
y = 10,000(1.1^12) ≈ 31,384.28
The value of the investment 12 years after purchase is predicted to be $31,384.28.
__
In any event, a graphing calculator or spreadsheet can deduce the model for you. The attached calculator output shows it to be as described above.
What is the Ratio of 129 215
Answer:
none
Step-by-step explanation:
The ratio of the totals of the numbers in box A and box B is 2:3.
Swap two numbers, one from each box, so that the ratio of the totals of the numbers is now 9:11. Show your working.
Please answer asap!! :)
Answer:
Swap 10 from box A and 15 from box B
Step-by-step explanation:
For calculate the ratio between the boxes we find the mean of the box A and the mean of the box B and divide this two results.
For find the mean of a set you use the next formula [tex]\bar{x} = \frac{\text{sum numbers}}{\text{total numbers}}[/tex]
[tex]\bar{A} = \frac{4+5+9+10+12}{5} = \frac{40}{5}= 8\\\bar{B} = \frac{6+7+13+15+19}{5} = \frac{60}{5}= 12[/tex]
Then the ratio is equal to [tex]\frac{\bar{A}}{\bar{B}} = \frac{8}{12} = \frac{2}{3}[/tex]
Know the ask us for a ratio of 9:11 then we know two things about the boxes.
If you swap the numbers between them the total of numbers in the mean not change is always 5 and the sum of all the elements in both boxes is always 100. With this we can state the next equation:
The new mean of [tex]\bar{A}[/tex] is 9 then:
[tex]\frac{\text{sum of elements in box A}}{5} = 9[/tex]
[tex]\text{sum of elements in box A} = 45[/tex]
The new mean of [tex]\bar{B}[/tex] is 11 then:
[tex]\frac{\text{sum of elements in box B}}{5} = 11[/tex]
[tex]\text{sum of elements in box B} = 55[/tex]
Now we know what is the sum of the elements in both boxes, but how we find the elements for swap? Well with the next relation.
When you take out a element from the box A this elements is substracted to the total sum of the elements in the box A and get a new sum of total of elements named [tex]c[/tex] (where [tex]a[/tex] is the element taken):
[tex]40 - a = c[/tex]
And when you sum an element to the box A the current sum of total elements in the box change to (where [tex]b[/tex] is the added element):
[tex]b + c = 45[/tex]
So replace [tex]c[/tex] for the first relation and get:
[tex]b + 40 - a = 45\\b - a = 5[/tex]
From the last equation you can deduct that [tex]b[/tex] is greater than [tex]a[/tex] and the different between both values is 5. So the last step is find a number in the box B that substracted to a number from the box A give us 5. These both numbers are 15 and 10 because 15 - 10 = 5.
how many different 12 member teams can be chosen from a pool of 32 people
Answer:
Step-by-step explanation:
32 choose 12
[tex]\frac{32!}{(32-12)!*12!}[/tex]=225792840
Answer:
P(12,32) = 32!/20!12!
= 2257928402
Hope it helps you
Jorge wants to find the height of the house, help him find it.
Is (2, 1) a solution to the equation y = 2x - 1?
Answer:
No
Step-by-step explanation:
Substitute the values for their respective variable and evaluate.
[tex]1=2(2)-1\\1=4-1\\1\neq 3[/tex]
Therefore, (2, 1) is not a solution to the equation y = 2x - 1.
(2, 1) is in the form of (x, y).
Then,
☆ x = 2
☆ y = 1
Equation =》y = 2x - 1
Now, substitute the values.....
=》y = 2x - 1
=》(1) = 2(2) - 1
=》1 = 4 - 1
=》 1 ≠ 3
So, (2, 1) is NOT a solution to the equation y = 2x - 1.
______
Hope it helps ⚜
find the sum of all the odd numbers between 51 and 99 inclusive
Answer:
1875
Step-by-step explanation:
plz help!!!!!!!!!!!!!!
Step-by-step explanation:
Use the exterior angle theorem
The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle
82+ x = 2x + 18
64 = x
PQS angle = 2x + 18 = (2×64) + 18
= 146
How many ? yards = 6 miles
Answer:
6 miles = 10560 yards
Step-by-step explanation:
To calculate a mile value to the corresponding value in yard, just multiply the quantity in mile by 1760 (the conversion factor). Here is the formula:
Value in yards = value in mile × 1760
Suppose you want to convert 6 mile into yards. Using the conversion formula above, you will get:
Value in yard = 6 × 1760 = 10560 yards
can somebody help me with my language arts please???
Answer:
yes!
Step-by-step explanation:
Mr. Darson bought 6 boxes of nails from a shop. Each box had an equal number of nails. He gave 8 nails to each of his 38 students. He then had 26 nails left. Find the number of nails in each box.
Answer:55 nail boxes
Step-by-step explanation: first we have to find out the total amount of nails in all the boxes so for this we do 38*8=304
when he gave all the nails to all his students he has 26 extra nails left. so we add this amount to the original which gives us 330 total nails.
to find out the number of nails in eadh box we divide 330/6=55
What is the answer I’m so stuck on this one
Answer:
The answer is A
Step-by-step explanation:
Construct a linear equation for the linear data presented in the table.
A) y = x + 3
B) y = 2x + 3
C) y=x-3
D) y = 2x - 3
Answer: A) y = x + 3
Step-by-step explanation:
Use two points given in the table and plug them into slope-intercept form y = mx + b.
In order to solve for m, the slope, by plugging them into [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex].
(0, 3) (2, 5)
[tex]\frac{5-3}{2-0}[/tex] = [tex]\frac{2}{2}[/tex] = 1
Use one of the points and plug it into the slope-intercept form y = mx + b.
3 = 1(0) + b
3 = 0 + b
3 = b
The linear equation to the table would be y = x + 3.
Find the value of x.
parallel lines rules says that adjesent angles are equal. which will give me 69
Please help me out with thisbeen stuck on this for like a day
Check the picture below, that'd be more or less the pattern of the sprinklinkg, so when we find it's vertex, we'd find how far along the ground at the maximum and its maximum height.
[tex]h(x)=160x-16x^2\implies h(x)=-16x^2+160x+0 \\\\\\ \textit{vertex of a vertical parabola, using coefficients} \\\\ h(x)=\stackrel{\stackrel{a}{\downarrow }}{-16}x^2\stackrel{\stackrel{b}{\downarrow }}{+160}x\stackrel{\stackrel{c}{\downarrow }}{+0} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)[/tex]
[tex]\left( -\cfrac{160}{2(-16)}~~,~~0-\cfrac{160^2}{4(-16)} \right)\implies \left( \cfrac{160}{32}~~,~~\cfrac{25600}{64} \right) \\\\\\ (\stackrel{\stackrel{\textit{along the ground}}{\downarrow }}{5}~~,~~\underset{\stackrel{\uparrow }{\textit{maximum height}}}{400})[/tex]
well, as you may notice from the picture, the water will hit the ground again when h(x) = 0 or namely y = 0, so let's do that to find out
[tex]h(x)= 160x-16x^2\implies \stackrel{h(x)}{0}= 160x-16x^2 \\\\\\ \stackrel{\textit{common factoring}}{0=16x(10-x)} \implies x = \begin{cases} 0&\leftarrow \textit{hits the ground first}\\ 10&\leftarrow \textit{hits \underline{the ground again}} \end{cases}[/tex]
1. 2y +8x =70
2. 2y = 8x- 70
3. y= 8x- 70
What’s the slope and y intercept for these equations?
Can you give me some hint please
Amanda has $5200 in a savings account that earns 4% simple interest annually. What is the value of her account in 5 years?
Answer:
6,240
Step-by-step explanation:
You start off with 5200, if she earns 4% each year for the next 5 years, she would earn a total of 20% more than what she had now.
You would multiply 5,200 by 1.20 Which equals the answer (above)
help me with number 9 please!!
Answer:
10
Step-by-step explanation:
just guessed
Find the measure of
Answer:
64
Step-by-step explanation:
360-115-129=116 (the sum of exterior angles of triangle is 360)
180-116=64
5 divided by 325 what is the strategy to this question and answer
Answer: 65
Step-by-step explanation: divided the 2
4) Find the sum of 6\12 and 1\2 .A) 3\12 B) 9\12 C) 12\12 D) 13\12
Answer:
12/12
Step-by-step explanation:
6/12= 1/2
so 1/2+1/2 = One Whole and that the same thing as 12/12
Answer:
Answer is option C
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Need asapppppppp!!!!!
Answer:
122 degrees-
Step-by-step explanation:
[tex]m\angle {GOC}=m\angle{GOA}+m\angle{AOC}\\=32^\circ + 90^\circ\\=122^\circ[/tex]
Angle GOA is a vertical angle with angle DOE, so it has the same measure (vertical angles are congruent).
Angle AOC is a right angle because angle COE is a right angle.
2y = 8x- 70
What’s the slope and y intercept?
Answer:
slope = 4, y- intercept = - 35
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
2y = 8x - 70 ( divide through by 2 )
y = 4x - 35 ← in slope- intercept form
with slope m = 4 and y- intercept c = - 35
General Instructions: Solve the following problems. Write your answers on the space provided.
Find the area under the standard normal curve that lies between the following: (3 pts each)
z=0 and z=2 __________________________
z=0 and z=3 __________________________
z=-3 and z=3 __________________________
z=0 and z=1.70 __________________________
Find the AREA under the standard normal curve: (4 pts each)
to the left of z=-0.40 __________________________
for z<0.40 __________________________
to the right of z=1.65 __________________________
Given the graph below, find the following:
the degree of each vertex (11 points)
Is there an Euler Trail? If there is, give 1 example. (1 point)
Is there a Hamiltonian Path? If there is, give an example. (3 points)
Answer:
Step-by-step explanation:
Q6) U= {1,2,3,4,5,6,7,8,9,10}
A={1,3,5,7,9)
B= {2,4,5,8)
C={1,10}
D={1,3,6,7,8}
Mention
. AUB
. An B
. (AnB) n (BU A)
. AU (BnC)
. CUD
Answer:
AUB={1,2,3,4,5,7,8,9}
ALL THE NUMBERS WITHOUT REPEATING
AnB={5}
THE NUMBER THE HAVE IN COMMON
(AnB)n(BnC)={5}not too sure
CUD={1,3,6,7,8,10}
What is the value of ?
T
80°
25°
R
?
P
PLEASE
9514 1404 393
Answer:
105°
Step-by-step explanation:
The exterior angle marked "?" is equal to the sum of the remote interior angles:
? = 25° +80°
? = 105°
A rectangular plot of land is 100 feet long and 50 feet wide. How long is the walkway along the diagonal? Round to the nearest foot.
A.
75 feet
B.
87 feet
C.
112 feet
D.
150 feet
Answer:
C
Step-by-step explanation:
Pythagorean theorem
A^2 + B^2 = C^2
IN THE MIDDKE IF EXAM PLS HELPQuestion 3(Multiple Choice Worth 4 points)
Find the length of the unknown side. Round your answer to the nearest whole number.
5 in
5 in
7 inches
10 inches
25 inches
50 inches
Answer:
7 inches
Step-by-step explanation:
5 square + 5 square=50
the square root of 50 is 7.07
7.07 to the nearest whole number is 7
Answer:
7 Inches
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
5² + 5² = c²
50 = c²
[tex]\sqrt{50}[/tex] = c
c = 7.07
ROUND
c = 7 inches
The following data set has a mode of 2, a mean of 10, and a median of 7. Which of these three measures gives the best idea of the typical size of the numbers in the list?
2, 2, 2, 4, 6, 8, 10, 12, 14, 60
A. Median
B. Mode
C. Mean
Answer:
I should think the median
Find the measure of angle
9514 1404 393
Answer:
(b) 62°
Step-by-step explanation:
Let x represent the measure of the angle.
The complement is (90 -x).
The supplement is (180 -x).
The relationship between the supplement and the complement is ...
(180 -x) = 6 +4(90 -x)
180 -x = 6 +360 -4x
3x = 186
x = 62
The measure of the angle is 62°.
PLEASE HELP
Create a cubic function that is not the parent function.
Explain how to graph your cubic function using transformations from the parent function. Be specific in your response and use correct mathematical language.
A cubic function is a function that has a power of 3, and three real roots.
The cubic function is [tex]\mathbf{g(x) = -x^3}[/tex], and the transformation is a reflection across the y-axis
The parent cubic function
[tex]\mathbf{f(x) = x^3}[/tex]
A transformed function of the cubic function may be
[tex]\mathbf{g(x) = -x^3}[/tex]
g(x) means that function f(x) is reflected across the y-axis.
The rule of this transformation is:
[tex]\mathbf{(x,y) \to (x,-y)}[/tex]
So, we have:
[tex]\mathbf{g(x) = -f(x)}[/tex]
Substitute x^3 for f(x)
[tex]\mathbf{g(x) = -x^3}[/tex]
Hence, the cubic function is [tex]\mathbf{g(x) = -x^3}[/tex], and the transformation is a reflection across the y-axis
Read more about cubic functions at:
https://brainly.com/question/20896994