What errors are shown here? Check all that apply.
-the arrows should be a length of 2
-the arrows should be a length of 6
-the arrows should be pointing in the positive direction
-the arrows should start at zero
-the arrows should point in the negative direction
Answers
Answer:
-The arrows should be a length of 6
-The arrows should point in the negative direction
-The arrows should start at zero
Step-by-step explanation:
Hope this helps!
Answer:
B
D
E
Step-by-step explanation:
Related Questions
PLZ HURRRY!!!!! What is the circumference of the circle
Answers
Answer:
40.192
Step-by-step explanation:
C=D(pi)
D=6.2*2
C=12.8*3.12
C=40.192
Answer:40.192
Step-by-step explanation:the formula for a circumference if a circle is C=2•3.14•r^2 fill in for r and calculate for your answer
A box of crayons costs $1.75, including tax. Mr. Valentino wants to purchase boxes of crayons for his class and has a $25 budget. Write an inequality to solve for the number of boxes of crayons Mr. Valentino can purchase with his budget
Answers
Answer:
1.75x ≤ 25
Step-by-step explanation:
State whether the data described below are discrete or continuous, and explain why. The exact mass (in grams )of food eaten by a person each day nothing Choose the correct answer below. A. The data are continuous because the data can take on any value in an interval. B. The data are continuous because the data can only take on specific values. C. The data are discrete because the data can take on any value in an interval. D. The data are discrete because the data can only take on specific values
Answers
Answer:
A. The data are continuous because the data can take on any value in an interval.
Step-by-step explanation:
The data surveyed is the exact mass, in grams, of food eaten by each person each day.
This type of data is continous, not discrete. The mass can take any value within the domain of positive real numbers. It represents a physic variable, and they are always continous.
Find the mode of the following data:
18, 17, 12, 14, 8, 21, 10, 11, 19, 20, 10, 5, 17, 12, 10, 20
O A. 13
OB. 10
O c. 16
D. 14
SUBMIT
Answers
To find the mode, you find the highest number in the data set, then you subtract the highest number (21) from the lowest number in the data set (4). So the mode would be 16.
10..................
5)
Calculate the ratio to the nearest hundredth.
-
RATIO
U
DIAMETER (d) CIRCUMFERENCE (C)
20 in.
62.83 in.
är
liliom
DE
10 in.
31.41 in.
6
in.
18.84 in.
2
in.
6.28 in.
1
in.
3.14 in.
0
-
Complete
A
16% Complete
earch
'o
e
Answers
Answer:
Answer for (a) to (e) = 0.32
Calculate the ratio to the nearest hundredth.
Find the Ratio of Diameter (d) and circumference (C)
Step by step explanation:
In order to determine the ratio we must know the formula for the circumference of a circle. Then relate it to the diameter.
But since we have been the value if both circumference and diameter, we would just calculate the ratio.
Circumference of a circle = 2πr
Where d = diameter = 2r
Circumference = πd
a) d = 20 in.
C = 62.83 in.
Ratio of Diameter (d) and circumference (C) = d:C
= 20/(62.83)
d:C = 0.32
b) d=10 in.
C =31.41 in.
d:C = 10/(31.41)
d:C = 0.32
c) d =6 in.
C =18.84 in.
d:C = 6/(18.84)
d:C = 0.32
d) d= 2 in.
C = 6.28 in.
d:C = 2/6.28
d:C = 0.32
e) d = 1 in.
C = 3.14 in.
d:C = 1/3.14
d:C = 0.32
The above answers indicate that the ratio of a circumference of a circle to its diameter = d/C = d/(π×d)
= 1/π = 0.32
A team averaging 110 points is likely to do very well during the regular season. The coach of your team has hypothesized that your team scored at an average of less than 110 points in the years 2013-2015. Test this claim at a 1% level of significance. For this test, assume that the population standard deviation for relative skill level is unknown.
Answers
Answer:
There is not enough evidence to support the claim that your team scored an average significantly less than 110 points.
Step-by-step explanation:
The question is incomplete:
There is no data from the sample.
We will use the sample [105 107 117 106 110 ] as an example to solve the question.
The mean of the sample is:
[tex]M=\dfrac{1}{5}\sum_{i=1}^{5}(105+107+117+106+110)\\\\\\ M=\dfrac{545}{5}=109[/tex]
The standard deviation of the sample is:
[tex]s=\sqrt{\dfrac{1}{(n-1)}\sum_{i=1}^{5}(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{4}\cdot [(105-(109))^2+(107-(109))^2+(117-(109))^2+(106-(109))^2+(110-(109))^2]}\\\\\\ s=\sqrt{\dfrac{1}{4}\cdot [(16)+(4)+(64)+(9)+(1)]}\\\\\\ s=\sqrt{\dfrac{94}{4}}=\sqrt{23.5}\\\\\\s=4.848[/tex]
This is a hypothesis test for the population mean.
The claim is that your team scored an average significantly less than 110 points.
Then, the null and alternative hypothesis are:
[tex]H_0: \mu=110\\\\H_a:\mu< 110[/tex]
The significance level is 0.01.
The sample has a size n=5.
The sample mean is M=109.
As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=4.848.
The estimated standard error of the mean is computed using the formula:
[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{4.848}{\sqrt{5}}=2.17[/tex]
Then, we can calculate the t-statistic as:
[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{109-110}{2.17}=\dfrac{-1}{2.17}=-0.46[/tex]
The degrees of freedom for this sample size are:
[tex]df=n-1=5-1=4[/tex]
This test is a left-tailed test, with 4 degrees of freedom and t=-0.46, so the P-value for this test is calculated as (using a t-table):
[tex]\text{P-value}=P(t<-0.46)=0.334[/tex]
As the P-value (0.334) is bigger than the significance level (0.01), the effect is not significant.
The null hypothesis failed to be rejected.
There is not enough evidence to support the claim that your team scored an average significantly less than 110 points.
Three angles are given; Start with angle measures 80,40, and 60. try other sets of angles such as 20, 120, and 40. try three measures that dont add up to 180
Answers
Answer: 30, 60 and 80
Step-by-step explanation:
measures 80,40, and 60. And sets of angles such as 20, 120, and 40 will make two different triangles.
To try three measures that dont add up to 180 will never make a triangle.
One of them can be 30, 60, 80
A laptop computer consumes about 20 watts of electricity per hour when operating. At 10 cents per kilowatt-hour, how much does a laptop cost to operate for 5 hours?
Answers
Step 1:
Convert the electricity per hour in kilowatts,
Electricity per hour = 20 watts
=20/1000 kilo,watts
Step 2:
The electricity consumes in 5 hour is ,
Electricity in 5 hour = 5x 20/1000 kilo watts.
Obtain the cost as,
=5x20/1000x10
=1 Cent
Answer: =1 Cent
Please mark brainliest
Hope this helps.
The cost of the energy consumed by the laptop for the 5 hours period is 5 cents.
Given:
rate of energy consumption of the laptop, R = 20 Watts per hour
time of operation of the laptop, t = 5 hours
cost of energy consumption, c = 10 cent per kWh
To find:
the cost of the energy consumed by the laptop for the 5 hours periodThe energy consumed by the laptop in kWh is calculated as;
[tex]Energy = Power \times time \\\\Energy = (\frac{20 \ W}{hr} \times 5 \ hr) \times 5\ hr\\\\Energy = (100 \ W) \times ( 5 \ hr)\\\\Energy = (0.1 \ kW) \times (5 \ hr)\\\\Energy = 0.5 \ kWh[/tex]
The cost of consuming 0.5 kWh is calculated as;
[tex]Cost = energy \ rate \ \times \ energy \ consumed \\\\Cost= \frac{10 \ cent}{kWh} \times 0.5 \ kWh\\\\Cost = 5 \ cents[/tex]
Thus, the cost of the energy consumed by the laptop for the 5 hours period is 5 cents.
learn more here: https://brainly.com/question/17924004
The number of customers in a line at a supermarket express checkout counter is a random variable with the following probability distribution. x 0 1 2 3 4 5 P(x) 0.09 0.26 0.29 0.20 0.09 0.07 Find P(2 or fewer).
Answers
Answer:
probability (x ≤2) = 0.64
Step-by-step explanation:
P(2 or fewer) = probability of 2 or fewer
probability of (2 or fewer) = probability (x ≤2)
probability of (2 or fewer) = probability when x is 0 + probability when x is 1 + probability when x is 2
probability of (2 or fewer) = probability (x =0) + probability of (x =1 ) + probability (x= 2)
probability of (x=0) = 0.09
probability of (x=1) = 0.26
probability of (x =2) = 0.29
probability of (2 or fewer) = 0.09 + 0.26 + 0.29 = 0.64
probability (2 or fewer) = probability (x ≤2) = 0.64
Answer:
[tex] P(X \leq 2)= P(X=0) +P(X=1)+P(X=2)[/tex]
And replacing we got:
[tex] P(X \leq 2)= 0.09 +0.26+0.29 = 0.64[/tex]
And the probability that X would be 2 or lower is 0.64
Step-by-step explanation:
For this case we have the following probability distribution:
x 0 1 2 3 4 5
P(x) 0.09 0.26 0.29 0.20 0.09 0.07
And we want to find the following probability:
[tex] P(X \leq 2)[/tex]
And we can find the probability like this:
[tex] P(X \leq 2)= P(X=0) +P(X=1)+P(X=2)[/tex]
And replacing we got:
[tex] P(X \leq 2)= 0.09 +0.26+0.29 = 0.64[/tex]
And the probability that X would be 2 or lower is 0.64
please help me, I'll give brainly
Answers
Answer:
Hai
It should be the fourth option. 44/20<45/20
Because firstly we should bring them same to make calculation.
im bringing them denominator to 20.
for 11/5, i should multiply both with 4.
11×4 = 44/20 = 5 × 4
for 9/4 ill multiply both with 5.
9×5 = 45/20 = 5 × 4
good luck(:
8 x 10^3 is how many times as large as 4 x 10^2?
Answers
8 * 10^3 is larger than 4 * 10^2
10*10*10 = 1000 * 8 = 8000
10*10= 100 * 4 = 400
A 3650-year-old wooden chest is found by archaeologists. What percentage of the original Superscript 14 Baseline Upper C would you expect to find in the wooden chest? (Recall that the decay constant for Superscript 14 Baseline Upper C is 0.00012.)
Answers
Answer:
64.5%
Step-by-step explanation:
Initial amount N° = ?
Remaining amount after decay = N = ?
k = decay constant = 0.00012 [tex]yr^{-1}[/tex]
t = time = 3650 year
fraction remaining will be N/N°
From the decay equation, N = N°[tex]e^{-kt}[/tex]
N/N° = [tex]e^{-kt}[/tex]
N/N° = [tex]e^{-0.00012 x 3650 }[/tex]
N/N° = [tex]e^{-0.438}[/tex]
N/N° = 0.645 = 64.5%
here are 4 fracion labeled a b c d 3/4 5/6 16/25 9/15 order starting from smallest
Answers
Answer:
9/15
16/25
3/4
5/6
Step-by-step explanation:
Convert them to decimals then order them
Answer:
16/25, 9/15, 5/6, 3/4
Step-by-step explanation:
16/25
9/15
5/6
3/4
Matt and Chris leave their uncle's house in Phoenix at the same time. Matt drives west on I-60 at a speed of 76 miles per hour. Chris drives east on I-60 at a speed of 81 miles per hour. How many hours will it take them to be 785 miles apart?
Answers
Answer:
4 hours.
Step-by-step explanation:
A study by Consumer Reports showed that 64% of supermarket shoppers believesupermarket brands to be as good as national brands. A manager of a local storebelieves that the percentage is higher in his store. She asks a random sample of145 shoppers whether they believed that supermarket brand ketchup was as goodas the national brand ketchup. Out of the 145 shoppers asked, 89 believed the supermarket brand was as good as the national brand. Use α= 0.05 significancelevel and conduct a hypothesis test.
Answers
Answer:
[tex]z=\frac{0.614 -0.64}{\sqrt{\frac{0.64(1-0.64)}{145}}}=-0.652[/tex]
The p value would be given by:
[tex]p_v =P(z<-0.654)=0.257[/tex]
Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is significantly less than 0.64 at 5% of significance
Step-by-step explanation:
Information given
n=145 represent the random sample taken
X=89 represent the number of people who believed the supermarket brand was as good as the national brand
[tex]\hat p=\frac{89}{145}=0.614[/tex] estimated proportion of people who believed the supermarket brand was as good as the national brand
[tex]p_o=0.64[/tex] is the value to test
[tex]\alpha=0.05[/tex] represent the significance level
z would represent the statistic
[tex]p_v[/tex] represent the p value
Hypothesis to test
We want to test if the true proportion is less than 0.64, the system of hypothesis are.:
Null hypothesis:[tex]p \geq 0.64[/tex]
Alternative hypothesis:[tex]p < 0.64[/tex]
The statistic is given by:
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
Replacing the info we got:
[tex]z=\frac{0.614 -0.64}{\sqrt{\frac{0.64(1-0.64)}{145}}}=-0.652[/tex]
The p value would be given by:
[tex]p_v =P(z<-0.654)=0.257[/tex]
Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is significantly less than 0.64 at 5% of significance
A builder makes drainpipes that drop 1 cm over a
horizontal distance of 30 cm to prevent clogs. See the
diagram below, which is not drawn to scale:
A certain drainpipe needs to cover a horizontal distance
of 700 cm
What is the length l of this drainpipe?
Round your answer to the nearest tenth of a centimeter
cm
Answers
Answer:
700.4 cm
Step-by-step explanation:
This involves two similar triangles.
Both triangles are right triangles.
One has legs measuring 1 cm and 30 cm. We can find the hypotenuse by using the Pythagorean theorem.
(1 cm)^2 + (30 cm)^2 = c^2
c^2 = 901 cm^2
c = sqrt(901) cm
The second triangle has one leg with length 700 cm. This leg corresponds to the 30-cm leg in the other triangle. Since the triangles are similar, we can use a proportion to find the hypotenuse of the second triangle.
(30 cm)/(700 cm) = [sqrt(901) cm]/x
3/70 = sqrt(901) cm/x
3x = 70 * sqrt(901) cm
x = 70 * sqrt(901) cm/3
x = 700.4 cm
Answer: 700.4 cm
The length of drainpipe is 700.4 cm.
What is Pythagoras theorem?The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagorean theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.
One has legs measuring 1 cm and 30 cm.
Using Pythagorean theorem.
(1 cm)² + (30 cm)² = c²
c² = 901
c =√901 cm
Since the triangles are similar, we can use a proportion to find the hypotenuse of the second triangle.
(30 cm)/(700 cm) = [√(901) cm]/x
3/70 = √(901) cm/x
3x = 70 x √(901) cm
x = 700.4 cm
Learn more about Pythagoras theorem here:
https://brainly.com/question/343682
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How many yards are in 108 inches?
Answers
Answer:
3 yards
Step-by-step explanation:
Divide inches by 36
[tex]108/36\\=3yards[/tex]
Answer:
[tex]3 \: \: yards[/tex]
Step-by-step explanation:
[tex]1 \: \: yard = 36\: \: inches \\ yard \: \: x = 108 \: \: inches[/tex]
So,
[tex] 1 = 36 \\ x = 108 \\ \\ cross \: \: \: multiple \\ \\ 108 = 36x \\ \frac{108}{36} = \frac{36x}{36} \\ x = 3 \: \: yards[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
(1 1 6 − 7 18 )÷2.8 0.5+ 1 18
Answers
Step-by-step explanation:
(116-718) /(2.805+118) [as, there cannot be two decimals in one numbers
=-602/120.805
=0.498
what is the solution of x=2+ sqrt x-2
Answers
Answer:
C
Step-by-step explanation:
[tex]x=2+\sqrt{x-2} \\\\x-2=\sqrt{x-2} \\\\(x-2)^2=\pm(x-2) \\\\x^2-4x+4=\pm(x-2) \\\\[/tex]
[tex]x^2-5x+6=0[/tex] OR [tex]x^2+3x+2=0[/tex]
x=2 and 3
Hope this helps!
Answer:
The answer is option 3.
Step-by-step explanation:
Firstly, we have to move the unrelated term to the other side :
[tex]x = 2 + \sqrt{x - 2} [/tex]
[tex]x - 2 = \sqrt{x - 2} [/tex]
Then, you have to get rid of square root by squaring both sides :
[tex] {(x - 2)}^{2} = {( \sqrt{x - 2} )}^{2} [/tex]
[tex] {x}^{2} - 4x + 2 = x - 2[/tex]
[tex] {x}^{2} - 4x + 4 - x + 2 = 0[/tex]
[tex] {x}^{2} - 5x + 6 = 0[/tex]
Next, you have to solve it :
[tex] {x}^{2} - 5x + 6 = 0[/tex]
[tex] {x}^{2} - 2x - 3x + 6 = 0[/tex]
[tex]x(x - 2) - 3(x - 2) = 0[/tex]
[tex](x - 2)(x - 3) = 0[/tex]
[tex]x - 2 = 0 \\ x = 2[/tex]
[tex]x - 3 = 0 \\ x = 3[/tex]
When 893893 male workers were asked how many hours they worked in the previous week, the mean was 45.645.6 with a standard deviation of 14.614.6. Does this suggest that the population mean work week for men exceeds 4040 hours? Answer by completing parts (a) through (d).
Answers
Answer:
a) A. The relevant variable is the population mean work week (in hours) for workers aged 18-25.
b) Null hypothesis:[tex]\mu \leq 40[/tex]
Alternative hypothesis:[tex]\mu > 40[/tex]
c) [tex]t=\frac{45.6-40}{\frac{14.6}{\sqrt{893}}}=11.46[/tex]
The p value for this case would be:
[tex] p_v = P(t_{110} >11.46) \approx =0[/tex]
d) Since the p value is a very low value we have enough evidence to reject the null hypothesis and we can conclude that the true mean for this case exceeds 40 hours.
Step-by-step explanation:
Information provided
[tex]\bar X=45.6[/tex] represent the sample mean
[tex]s=14.6[/tex] represent the sample standard deviation
[tex]n=893[/tex] sample size
[tex]\mu_o =40[/tex] represent the value to verify
t would represent the statistic
[tex]p_v[/tex] represent the p value
a. Identify the relevant and parameter variable. Choose the correct relevant variable below.
A. The relevant variable is the population mean work week (in hours) for workers aged 18-25.
b. State the null and alternative hypotheses. State the null hypothesis.
We want to verify if the population mean is higher than 40, the system of hypothesis would be:
Null hypothesis:[tex]\mu \leq 40[/tex]
Alternative hypothesis:[tex]\mu > 40[/tex]
c. Calculate the statistic
[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex] (1)
Replacing the info given we got:
[tex]t=\frac{45.6-40}{\frac{14.6}{\sqrt{893}}}=11.46[/tex]
The p value for this case would be:
[tex] p_v = P(t_{110} >11.46) \approx =0[/tex]
d. Conclusion
Since the p value is a very low value we have enough evidence to reject the null hypothesis and we can conclude that the true mean for this case exceeds 40 hours.
A farmer has a total of 21 cows and chickens altogether The animals have 54 legs how many cows and how many chickens does the farmer have?
Answers
Answer:
The farmer has 4 cows and 15 chickens.
Step-by-step explanation:
This question can be solved using a system of equations.
I am going to say that:
x is the number of cows
y is the number of chickens.
A farmer has a total of 21 cows and chickens altogether
This means that x + y = 21.
The animals have 54 legs
A cow has four legs, while a chicken has 2 legs. So
4x + 2y = 54.
From the first equation:
y = 21 - x
Replacing
4x + 2(21 - x) = 54
4x + 42 - 2x = 54
2x = 12
x = 6
y = 21 - x = 21 - 6 = 15
The farmer has 4 cows and 15 chickens.
Circular interpolation involves dividing the arc to be generated into segments, and approximating each segment by a straight line. What is the optimum number of segments would you recommend to be used for each arc
Answers
Answer:
I would recommend optimum number of six segments for each arc.
Step-by-step explanation:
The optimum number of segments I would recommend for each arc is six. This way, the circle interpolation will divide the arc into six segments, and approximating each segment by a straight line.
Which expressions have the same solution as
Check all that apply.
-4(6)?
04(-6)
4(-6)
6(-4)
-8(2)
12(-2)
Answers
Answer: B C E
Step-by-step explanation:
Evaluate this power with a base that is a negative fraction.
(−1
4
)2
Answers
Answer:
(16)^-1 or (4)^-2
Step-by-step explanation:
(-1/4)^2, we can convert this to (1/16), which is (16)^-1 or (4)^-2.
Answer:
[tex]\frac{1}{16}[/tex]
Step-by-step explanation:
[tex]-\frac{1}{4} ^{2}[/tex]
[tex]\frac{-1^{2} }{4^{2} }[/tex]
[tex]=\frac{1}{16}[/tex]
What type of polynomial is P(x) = 7x3 + 2x2 – 3x4?
Answers
Answer:
quartic
Step-by-step explanation:
p(x) = 7 x^3 + 2 x^2 - 3 x^4
The degree of an individual term of a polynomial is the exponent of its variable; the exponents of the terms of this polynomial are, in order, 3, 2, and 4.
The degree of the polynomial is the highest degree of any of the terms; in this case, it is 4.
Which undefined term is used to define an angle?
O line
O plane
opoint
O ray
Answers
Answer:
A point would be used as the undefined term
Compare 7/8 with 14/16 using ( <, >, =).
A. 7/8= 14/16
B.7/8< 14/16
c.7/8>1446
D. none of the above
Answers
Answer:
A
Step-by-step explanation:
multiply 7/8 by 2/2 to get 14/16. they are equal
A
Solving steps:
divide 14/16 by 2 and you’ll get 7/8 hope i helped :)
What’s the correct answer for this?
Answers
Answer:
cats constitute the same fraction of animals adopted as not adopted
(i am actually not that sure)
Answer:
a
Step-by-step explanation:
as mamy cats as dogs are addopted
The distance y (in miles) that a car travels on a highway in x minutes is represented by the equation y=1.1x. The graph shows the distance that a bus travels. Find the speed of each vehicle. Which vehicle is traveling faster?
Answers
Answer:
car = 1.1 mi/min
bus = 1.05 mi/min
car travels faster
Step-by-step explanation:
recall that speed is given by the gradient (i.e slope) of a distance vs time graph or equation.
for the car:
equation is y = 1.1x
recall that for an equation in the form y = mx + b, slope = m
if we compare the given equation to the general equation, it is clear that
speed of car = slope = m = 1.1 miles/min (answer)
for the bus,
we are given 2 points (2,2.1) and (4,4.2)
if we apply the formula for slope (see attached for reference)
slope, m
= (4.2 - 2.1) / (4 - 2)
= 2.1 / 2
= 1.05 mi/min= speed of bus (answer)
comparing the 2 speeds, we can see that the car has the higher speed (travels faster).
Answer:
Car:1.1
Bus:1.05
Car is going faster.
Step-by-step explanation:
This is right. I got it right on Big Ideas Math (Pre-Algebra)
Sung Lee invests $5,000 at age 18. He hopes the investment will be worth $20,000 when he turns 25. If the interest compounds continuously, approximately what rate of growth will he need to achieve his goal? Round to the nearest tenth of a percent.
Answers
Answer:
19.8%
Step-by-step explanation:
We have the following formula for continuous compound interest:
A = P * e ^ (i * t)
Where:
A is the final value
P is the initial investment
i is the interest rate in decimal
t is time.
The time can be calculated as follows:
25 - 18 = 7
That is, the time corresponds to 7 years. In addition, A is 20,000 for A and P would be 5,000, we replace:
20000 = 5000 * e ^ (7 * i)
20000/5000 = e ^ (7 * i)
e ^ (7 * i) = 4
ln e ^ (7 * i) = ln 4
7 * i = ln 4
i = (ln 4) / 7
i = 0.198
Which means that the rounded percentage will be 19.8% per year
The rate of growth needed to achieve this goal is 22%
A compound interest is given by the formula:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
Where A is the final amount, r is the rate, t is the period, P is the principal and n is the number of times compounded in a period.
Given that A = 20000, P = 5000, t = 7 (25 - 18). hence:
[tex]20000=5000(1+\frac{r}{1} )^{7*1}\\\\4=(1+r )^{7}\\\\\\ln(4)=7\ ln(1+r)\\\\r=0.22[/tex]
Therefore the rate of growth needed to achieve this goal is 22%
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