Answer:(c)
Step-by-step explanation:
Given
The initial value of Adam's model is [tex]A_o=\$550[/tex]
the value increases exponentially with the rate of [tex]r\%[/tex]
Time period [tex]t=5\ years[/tex]
Final amount [tex]A=\$736[/tex]
Exponential growth is given by
[tex]\Rightarrow A=A_o(1+r)^t[/tex]
Putting values
[tex]\Rightarrow 736=550(1+r)^5\\\\\Rightarrow (1+r)^5=1.338[/tex]
[tex]\Rightarrow 1+r=1.05999\\\Rightarrow r=0.05999\ or\ 5.99\%\approx 6\%[/tex]
Option (c) is correct
1.1.2
Calculate the amount of VAT payable on a coffee mug that costs R75.90
(VAT exclusive)
6999999 huhuijuu harder daddy
plz help right now plz
builder is buying property where she can build new houses. The line plot shows the sizes of the lots for each house. What is the average size of the lots?
Answer:
I think she put it in the 2nd place because it has the smallest amount of x's , and 1 and 3 has more
all points of the step function f (x) are graphed
x -8 = -11 what is X?
Answer:
x=-3
Step-by-step explanation:
How?
so the easiest and quickest way to answer these type of questions are to do the opposite.
so -11+8=-3
if you get a question like
3x+2=17
17-2=15
15 divided by 3=5
so x=5
hope that helps
thank you
GRAPH f(x)=-|x-5|
i need the endpoint and then any other point
Answer:
The highest point is at (5, 0)
Another point on this graph is (6, -1)
The graph and explanation are below.
PLEASE HELP what is the solution to |2x-8|<2
Answer:
A
Step-by-step explanation:
You have two inequalities:
2x-8<2 = 2x<10 = x<5
-2x+8<2= -2x<-6 = x>3
Combine the two to get 3<x<5
Hope this helps!
Answer and Step-by-step explanation:
The answer would be A, in which x can be any value between 3 and 5, exclusive, or not including.
This is because in this situation, if you put any number greater than or equal to 5, or any number less than or equal to 3 it would be greater than 2 due to the absolute thing (noted as | | )
So, any number thats between 3 and 5 will work, as it will be less than 2.
#teamtrees #POG (Plant Our Garden)
Find the unknown number 10% of what number is 300
Answer:3,000
Step-by-step explanation:
Answer:
3000
Step-by-step explanation:
300 x
10 100
300x100
30,000
30,000/10
3000
help please!
will give brainliest
Answer:
The answers will placed according to the order that they were given
6.93
15.75
17.64
6.93
Step-by-step explanation:
The length of a shadow of a building is 29 m. The distance from the top of the building to the tip of the shadow is 36 m. Find the height of the building. If
necessary, round your answer to the nearest tenth.
Answer:
21.3 m
Step-by-step explanation:
Does this graph represent a function? Why or why not?
-10 -884
O A. Yes, because it passes the vertical line test.
O B. Yes, because it passes the horizontal line test.
C. No, because it is not a straight line.
D. No, because it fails the vertical line test.
13 in
10 in.
7 in
3. What is the perimeter of the
(19)
trapezoid?
can somebody help me?
Answer:
D
Step-by-step explanation:
15 points really need the right answer :(
Answer:
-4x^9
Step-by-step explanation:
What does it mean to be “in the red?”
a.
You have more credits than debits.
b.
You have more debits than credits.
c.
You cannot find your financial records.
d.
Your financial records are inaccurate.
Answer:
b.
You have more debits than credits.
Step-by-step explanation
Being in the red means that you are in debt so im 90% sure its B
If you get this wrong then i am very sorry.This is my input :)
Answer:
B
Step-by-step explanation:
In accounting, if the debit balance is more than the credit balance on income statement, there is a loss.
If the credit balance is more than the debit balance on income statement, there is a profit.
Option C and D are both not correct because this does not relate to whether a Financial record is accurate or not.
Skyler goes to a school which has 1000 students in it.
She asks 40 random students whether they like the new 8.30 am start to the day.
30 of them say 'no' they do not like it.
Use this information to estimate how many students in the whole school
dislike the 8.30 am start.
Answer:
750?
Step-by-step explanation:
there is groups of 40 so we take 1000/40 now we have 25 take 25x10 and we will and up with 250 minus 1000 - 250 and we have 750
A rectangular garden has dimensions of 100 feet by 10 feet. Next season, the garden is decreased to 25 of its size. What is the scale of the new drawing?
Answer:
40 feet by 4 feet
Step-by-step explanation:
Given length (l) = 100 feet
width (w) = 10 feet
As mentioned in the question the size of garden is decreased to 2/5 of its size. It will effect the length and width with the same proportion.
So,
New length = 100 * 2/5 = 40 feet
New width = 10 * 2/5 = 4 feet
Therefore, the scale of new drawing would be 40 feet by 4 feet.
I really need help pls ty
Answer:
m<3 = 58
Step-by-step explanation:
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What the value of x? Round to the nearest tenths place
Answer:
2.7084
Step-by-step expla
find the distance between (3,7) and (-1,4)
Answer:
5
Step-by-step explanation:
To find the distance between two points, use the distance formula, [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\[/tex]. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, while the [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point. Thus, substitute the x and y values of the given points into the appropriate places of the formula and solve:
[tex]d = \sqrt{((-1)-(3))^2+((4)-(7))^2} \\d = \sqrt{(-1-3)^2+(4-7)^2} \\d = \sqrt{(-4)^2+(-3)^2} \\d = \sqrt{16 + 9 } \\d = \sqrt{25} \\d = 5[/tex]
Thus, the distance is 5 units.
PLS HELPP What is the volume of the larger rectangular prism in the figure?
A)
26 cm3
B)
28 cm3
C)
80 cm3
D)
108 cm3
Answer:
80.
Step-by-step explanation:
I've seen this question before and got it right. It's really simple. One of the other questions is what is the total volume and its 108. The smaller one is 28. You just add them up and get 108.
Write down the value of the 5 in each of these
numbers.
8.154
751 602
1 567 324 896
Answer:
8.154 - 0.05
751 602 - 50 000
1 567 324 896 - 500 000 000
Fewer young people are driving. In 1995, 63.9% of people under years old who were eligible had a driver's license. Bloomberg reported that percentage had dropped to in . Suppose these results are based on a random sample of people under years old who were eligible to have a driver's license in and again in . a. At confidence, what is the margin of error and the interval estimate of the number of eligible people under years old who had a driver's license in
Answer:
A. 0.0272
B. 0.0278
C. No
Step-by-step explanation:
a. Calculation for the margin of error and the interval estimate of the number of eligible people who had a driver’s license in 1995u
First step is to calculate the Standard error using this formula
Standard error(SE)= √(pcap * (1 - pcap)/n)
Where,
pcap represent sample proportion = 0.639
n represent sample size = 1200
Let plug in the formula
Standard error (SE)= √(0.639 * (1 - 0.639)/1200)
Standard error(SE)= 0.0139
Second step is to find Zc using this formula
Zc = Z(α/2)
Where,
α = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
Zc = Z(α/2) = 1.96
Now let calculate the Margin of Error using this formula
Margin of Error= zc * SE
Let plug in the formula
Margin of Error = 1.96 * 0.0139
Margin of Error = 0.0272
Therefore the Margin of Error is 0.0272
b. Calculation for the margin of error and the interval estimate of the number of eligible people who had a driver’s license in 2016
First step is to calculate the Standard error using this formula
Standard error(SE)= √(pcap * (1 - pcap)/n)
Where,
pcap represent sample proportion = 0.417
n represent sample size = 1200
Let plug in the formula
Standard error (SE)= √(0.417 * (1 - 0.417)/1200)
Standard error(SE)= 0.0142
Second step is to find Zc using this formula
Zc = Z(α/2)
Where,
α = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
Zc = Z(α/2) = 1.96
Now let calculate the Margin of Error using this formula
Margin of Error= zc * SE
Let plug in the formula
Margin of Error = 1.96 * 0.0142
Margin of Error = 0.0278
Therefore the Margin of Error is 0.0278
c. Based on the above calculation for both (a) and (b) the MARGIN OF ERROR are NOT the same reason been that (a) Margin of Error is 0.0272 while (b) Margin of Error is 0.0278 which simply shows that the proportion in parts (a) and are different.
ou are interested in estimating the the mean age of the citizens living in your community. In order to do this, you plan on constructing a confidence interval; however, you are not sure how many citizens should be included in the sample. If you want your sample estimate to be within 4 years of the actual mean with a confidence level of 96%, how many citizens should be included in your sample
Answer:
[tex](\frac{4\sigma}{2.056})^2[/tex], rounded up, if needed, citizens should be included in the sample, in which [tex]\sigma[/tex] is the standard deviation of the population.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.96}{2} = 0.02[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.02 = 0.98[/tex], so Z = 2.056.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Within 4 years of the actual mean
We have to find n for which M = 4. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]4 = 2.056\frac{\sigma}{\sqrt{n}}[/tex]
[tex]2.056\sqrt{n} = 4\sigma[/tex]
[tex]\sqrt{n} = \frac{4\sigma}{2.056}[/tex]
[tex](\sqrt{n})^2 = (\frac{4\sigma}{2.056})^2[/tex]
[tex]n = (\frac{4\sigma}{2.056})^2[/tex]
[tex](\frac{4\sigma}{2.056})^2[/tex], rounded up, if needed, citizens should be included in the sample, in which [tex]\sigma[/tex] is the standard deviation of the population.
Graph the linear equation. Find three
points that solve the equation, then
plot on the graph.
3x - 4y = -18
What is the volume of an aquarium if 50cm long 10 cm broad 15 cm high
Answer:
Im pretty sure its 7.5 litres i might be wrong still.
Answer:
7,500 cm
Step-by-step explanation:
It would be 7,500 cm because if you do 50 X 10 you get 500 because the volume formula is L X W X H then you would multiply 500 times 15 and you get 7,500 cm.
find the value of x if log3 625=x
Given:
The equation is
[tex]\log_3625=x[/tex]
To find:
The value of x.
Solution:
We have,
[tex]\log_3625=x[/tex]
It can be written as
[tex]\log_3(5)^4=x[/tex]
[tex]4\log_3(5)=x[/tex] [tex][\because \log x^n=n\log x][/tex]
[tex]4\dfrac{\log (5)}{\log (3)}=x[/tex] [tex][\because \log_ab=\dfrac{\log_xb}{\log_xa}][/tex]
[tex]4\times \dfrac{0.69897}{0.47712}=x[/tex]
[tex]x\approx 5.8599[/tex]
Therefore, the value of x is about 5.8599.
Which of the following expressions could NOT be used to find the volume of the sheet cake? Select all that apply.
Incorrect
60 × 3
Correct
12 + 5 + 3
Incorrect
3 × 5 × 12
Correct
12 × 5
Correct
(12 × 5) + 3
What is the formula for area of Parallelogram
Answer:
See below
Step-by-step explanation:
Area of parallelogram = base * height
Answer:
A= b×h
Step-by-step explanation:
b= base
h= height
hope it helped
Liam is going to invest in an account paying an interest rate of 5.7% compounded daily. How much would Liam need to invest, to the nearest ten dollars, for the value of the account to reach $23,000 in 5 years?
Answer:
The answer is 17300./ Hope this helps