Answer:
The 23rd term is -187
Step-by-step explanation:
U₂₃=??, a=77, d=-12, n=23
U₂₃=a+(n-1)d
U₂₃=77+(23-1)(-12)
U₂₃=77+22(-12)
U₂₃=-187
U₂₃=-187
∴U₂₃=-187
You bought $2000 worth of stocks in 2012. The value of the stocks has been decreasing by 10% each year
Part A
Write an exponential function to represent this scenario...
Format for answer...
A(T) = a (1 + r)
Part B
What will your stock be worth in 2017? Round your answer to the nearest cent.
Answer:
a(t)= 2000(1+r)^T
*make sure to add the power to t
a(t)=2000(1+.10)^5
= 3221.02
Hope this helps!
The exponential decay function is given by y=2000×0.9ˣ and the stock will be worth $1180.98 after a period of 5 years.
What is exponential decay function?In mathematics, exponential decay describes the process of reducing an amount by a consistent percentage rate over a period of time. It can be expressed by the formula y=a(1-b)ˣ wherein y is the final amount, a is the original amount, b is the decay factor, and x is the amount of time that has passed.
Given here: The value of the stock in 2012 was $2000 and the value decreases each year by 10%
We know the exponential decay is given by y=a(1-b)ˣ
where x is the number of years and 1-b is the decreasing factor
Thus based on the given information we can construct the exponential decay function as y=2000(1-10%)ˣ
or y=2000×0.9ˣ
Therefor in 5 years i.e in 2017 the stock will be worth
y=2000×0.9⁵
=$1180.98
Hence, The exponential decay function is given by y=2000×0.9ˣ and the stock will be worth $1180.98 after a period of 5 years.
Learn more about functions here:
https://brainly.com/question/28303908
#SPJ2
1 Sole for x. Round your answer to the nearest tenth.*
17
6
Answer:
15.9
Step-by-step explanation:
Formula:
a² + b² = c²
6² + x² = 17²
36 + x² = 289
x² = 253
[tex]\sqrt{x^2} =\sqrt{253}[/tex]
x = 15.91
The value of x will be equal to x = 15.9.
The Pythagorean theorem says that the sum of the square of the perpendicular and the base will be equal to the square of the hypotenuse of the right-angle triangle.
Given that the sides of the triangle are,
a = 6,
b = x
c = 17
The value of x will be calculated as,
a² + b² = c²
6² + x² = 17²
36 + x² = 289
x² = 253
x = 15.91
Therefore, the value of x will be equal to 15.91.
To know more about the Pythagorean theorem follow
brainly.com/question/343682
#SPJ5
Mr. Fishman used to work in a warehouse in New York. He would fill up pallets of product to be shipped to retail stores around the country. He would then drive the forklift to place the heavy pallets on the industrial scale to determine the weight for the bill of lading and then he would load the pallets onto the shipping trucks. One shipment had a full pallet (10 cartons per level and 8 levels high) mixed with two different products that had the exact same size shipping carton. The different packages were clearly marked, but once they were loaded on the pallet it was almost impossible to distinguish between them. While the cartons were the same size, each carton of Product X weighed 3 pounds while each carton of Product Y weighed 5 pounds.
Required:
How many cartons of each product were on the pallet?
Complete question:
When the pallet was placed on the scale, the reading came back as 325 total pounds. Note that this was including the pallet itself, which weighed 35 pounds.
How many cartons of each product were on the pallet? Create two equations to represent the situation and then solve the system. Show all work. Express your final answer using a complete sentence and appropriate units
Answer:
we have 25 and 55 cartons of each product
Step-by-step explanation:
we have number of carton = 10 x 8 = 80
each level has 10, and leves are 8 high
two types of product packages,
we call them w and x
w + x = 80 ------ equation 1
w has 3 pounds weight
x has 5 pounds weight
3*w +5*x
3w + 5x
total weight = 325
we subtract weight of pallet 35
= 325 - 35 = 290
3w + 5x = 290-------- equation 2
we have two equations
w + x = 80------(1)
3w + 5x = 290-------(2)
from equation 1,
w = 80 - x
put this value above in equation 2
3(80-x) + 5x = 290
240-3x+5x = 290
240+2x = 290
2x = 290-240
2x = 50
divide through by 2
x = 25
put value of x in equation 1
w + 25 = 80
w = 80-25
w = 55
so we have 55 cartons of w and 25 cartons of product x
Columbia County needs 757 pieces of pipe to repair some water lines. If each box contains 3 pieces of pipe, how many boxes should the county buy?
Answer:
253 boxes
Step-by-step explanation:
757/3 = 252.33
If c varies directly as the square root of d, and c=14, when d = 64, find c when d= 324
Answer:
c = 31.5
Step-by-step explanation:
Given c varies directly as [tex]\sqrt{d}[/tex] then the equation relating them is
c = k[tex]\sqrt{d}[/tex] ← k is the constant of variation
To find k use the condition c = 14 when d = 64, then
14 = k ×[tex]\sqrt{64}[/tex] = 8k ( divide both sides by 8 )
1.75 = k
c = 1.75[tex]\sqrt{d}[/tex] ← equation of variation
When d = 324 , then
c = 1.75 × [tex]\sqrt{324}[/tex] = 1.75 × 18 = 31.5
A cone has a radius of 1.2 inches and a height pf 2.9 inches. What is the volume, to the nearest tenth of a cubic inch,of a cone?
9514 1404 393
Answer:
4.4 in³
Step-by-step explanation:
The formula for the volume of a cone is ...
V = 1/3πr²h
For the given dimensions, the volume is ...
V = 1/3π(1.2 in)²(2.9 in) = 1.392π in³ ≈ 4.4 in³
A composite figure has three congruent triangles removed from it.
What is the area of the shaded region?
O 98ft
O 128ft
O 160ft
O 192ft
Answer:
[tex] 128 \: {ft}^{2} [/tex]
Step-by-step explanation:
Area of the shaded region = 3 times the area of one square with side length 8 ft - 3 time the area of one triangle with base 8 ft and height 8 ft
[tex] = 3 {(8)}^{2} - \cancel 3 \times \frac{1}{\cancel 3} \times 8 \times 8 \\ \\ = 3 \times 64 - 64 \\ \\ = (3 - 1)64 \\ \\ = 2 \times 64 \\ \\ = 128 \: {ft}^{2} [/tex]
Urgent help please !!!
Answer:
The answer is A. 3x + 3
Step-by-step explanation:
Umm yea its that
Executives for a grocery store chain want to survey their employees about a new policy regarding break times. To
get a representative sample of 40 employees, they randomly select 10 people from each of the different job titles at
the store (cashier, bagger, stocker, and manager). Which sampling method was used?
O cluster sampling
O simple random sampling
O stratified random sampling
O systematic random sampling
Answer:
Stratified random
Step-by-step explanation:
got it right
Answer:
C
Step-by-step explanation:
CALCULUS: Which of the following functions grows the fastest as x goes to infinity?
A. 2^x
B. ln(x)
C. sin(x)
D. x^20 (I put this my first try & got it wrong)
I believe D is the right answer, but I got it wrong. Can someone please tell me why?
Answer:
It is A. 2^x
Step-by-step explanation:
For relative rates of growth, we know: Log < Poly < Exponential.
This rules out B, C, and D quickly. Although, if you do L'Hôpital's rule, it might seem like A & D are very comparable. However, if you continually took the derivative of 2^x and x^20, eventually x^20 would equal zero, while 2^x would still be a variable. So, you would have:
[tex]\lim_{x \to \infty} \frac{2^{x}}{0} =[/tex] ∞
When the limit of x as it approaches infinity is infinity, then f(x) grows at a faster rate than g(x).
Also, by looking at the graph (which is attached), you can see that 2^x grows faster than x^20.
how to write two pounds and four pence
one, no, or infinitely many solutions
Answer:
Only one solution
Step-by-step explanation:
Given:
2c + 4 - 3c = -9 + c + 5
Find:
Number of solution
Computation:
2c + 4 - 3c = -9 + c + 5
-c + 4 = -4 + c
-2c = -8
c = 4
Only one solution
Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x + 16/x , [0.2, 16]
Answer:
Absolute Maximum: (0.2 , 80.2)
Absolute Minimum: (4 , 8 )
Step-by-step explanation:
Please help fast! Will give brainliest to first correct answer!
Answer:
1. D
2.C
3.B
4. A
Step-by-step explanation:
:D
Answer:
1. the top one is connected to the bottom
2. is connected to the third one
3. is connected to the second one
4. is connected to the first
Step-by-step explanation:
look below
Calculator
13 in
94
7.5 in.
What is the area of this triangle?
Enter your answer as a decimal in the box. Round only your final
answer to the nearest tenth.
Answer:
9165.0
Step-by-step explanation:
13*94*7.5 = 9165.0
HURRYYYYY I NEED HELP!!
Answer:
1. adjacent
2. vertical
3. adjacent
4. vertical
Step-by-step explanation:
1. adjacent - 2 angles are next to each other
2. vertical - 2 angles are opposite each other
3. adjacent - 2 angles are next to each other
4. vertical - 2 angles are opposite each other
The concentration of hexane (a common solvent) was measured in units of micrograms per liter for a simple random sample of sixteen specimens of untreated ground water taken near a municipal landfill. The sample mean was 228.0 with a sample standard deviation of 4.3. Twenty specimens of treated ground water had an average hexane concentration of 224.6 with a standard deviation of 5.0. It is reasonable to assume that both samples come from populations that are approximately normal.
Can you conclude that the mean hexane concentration is less in treated water than in untreated water? Use the ? = 0.10 level of significance.
No
Yes
Answer:
Yes, it can be concluded that the mean hexane concentration is less in treated water than in unsaturated water
Step-by-step explanation:
The number of of specimen in the samples of untreated water, n₁ = 16
The sample mean, [tex]\overline x_1[/tex] = 228.0
The sample standard deviation, s₁ = 4.3
The number of of specimen in the samples of treated water, n₂ = 20
The sample mean, [tex]\overline x_2[/tex] = 224.6
The sample standard deviation, s₂ = 5.0
The level of significance = 0.10
The null hypothesis, H₀; [tex]\overline x_1[/tex] ≥ [tex]\overline x_2[/tex]
The alternative hypothesis, Hₐ; [tex]\overline x_1[/tex] < [tex]\overline x_2[/tex]
The degrees of freedom = 16 - 1 = 15
The test statistic, [tex]t_{\alpha}[/tex] = 1.341
[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]
Plugging in the values, we get;
[tex]t=\dfrac{(224.6- 228.0)}{\sqrt{\dfrac{5.0^{2}}{20} -\dfrac{4.3^{2} }{16}}} \approx -11.0675[/tex]
Given that the t-value is large, the corresponding p-value is low, therefore, we fail to reject the null hypothesis and there is considerable statistical evidence to suggest that the mean hexane concentration is less in treated than in untreated water, therefore, we have; [tex]\overline x_1[/tex] ≥ [tex]\overline x_2[/tex]
In a class of 100 students 45 students read physics, 52 students read Chemistry and 15 students read both the subject. Find the number of people who student who study neither physics nor chemistry
Answer:
12
Step-by-step explanation:
First,
Add 45+52+15
Then the answer will be 112
Then -(minus) from 100
Answer:
18 students
Step-by-step explanation:
45 - 15 = 30 students only read physics
52 - 15 = 37 students only read chemistry
15 students read both
add all of them:
30 + 37 + 15 = 82
subtract the sum from 100
100 - 82 = 18
18 students doesn't study neither
Given the word ACCOMPLISHMENT, what is the ratio of consonants to vowels? Give your answer in simplest form.
Answer:
4:7
Step-by-step explanation:
The word ACCOMPLISHMENT has 4 vowels (A, O, I, and E), which is where I got the four. It also has 7 consonants (C, C, M, P, L, S, H, M, N, T). Hence where the 7 was found.
how do you write 76% as a fraction
Answer:
76/100 or simplified into 19/25
Answer:
Step-by-step explanation:
76/100
pls help immediately!!!!
A television station shows 3 commercials every 12 minutes. At this rate, how many commercials will the station show in 84 minutes?
Answer:
21
Step-by-step explanation:
84/12=7x3=21
Derek and his friend share two small pizzas Derek ate 7/6 of the pizzas which mixed number shows how much pizza Derek ate
what is the best way to describe | -2| ?
Answer:
2
Step-by-step explanation:
Buffer stock is the level of stock
Answer:
akuy3uwujwu
Step-by-step explanation:
uwoedihwo
Answer:
Safety stock inventory, sometimes called buffer stock, is the level of extra stock that is maintained to mitigate risk of run-out for raw materials or finished goods due to uncertainties in supply or demand.
HOPE IT HELPS...
HAVE A GREAT DAY : P
30. President Ronald Reagan earned a yearly salary of 2 x 10^5 dollars as
president. He served 8 years as president. What was the total amount of
money Ronald Reagan earned as president?
A 1.6 x 106 dollars
B. 2.0 x 106 dollars
c. 1.6 x 107 dollars
D. 2.0 x 107 dollars
Answer:
a) 1.6 x 10 ^6 dollars.
Step-by-step explanation:
since President Ronald Reagan served for 8 years. So the total amount of money that he earned is 2 x 10^5 x 8 = 16 x 10 ^ 5 = 1.6 x 10^6 dollars.
Need help on this please
Answer:
dff
Step-by-step explanation:
saf
In what direction is the line containing the points (-4, 3) and (-4, 14) going?
A. horizontal
B. vertical
C. up and to the left
D. down and to the right
Answer:
A. horizontal because -4 and -4 are on the same line... it's coordinate planes it's always over then up so your line will be horizontal going from 3 to 14
someone do this pls help?
ans.................
Explicit formula for
1,5,3,6,12