Answer:
7793
Step-by-step explanation:
3400 x 1.05^17 = 7792.862
Answer:
The population would be 7792.86 or when rounded would be 7793
Step-by-step explanation:
This question is an example of a repeated percentage change
To work this out you would first have to convert the percentage of 5 into a decimal. You can do this by dividing 5 by 100, this gives you 0.05. This is because percentages are out of 100.
The next step is to add 0.05 to 1, which gives you 1.05. This is because we are increasing the amount by 5% annually.
The final step is to multiply the amount of 3400 by 1.05 to the power of 17, this gives you 7792.86. This is because we are finding 5% and adding it to the amount and finding 5% of that new amount, this will continue 17 times.
1) Divide 5 by 100.
[tex]5/100=0.05[/tex]
2) Add 0.05 to 1.
[tex]0.05+1=1.05[/tex]
3) Multiply 3400 by 1.05 to the power of 17.
[tex]3400*1.05^{17} = 7792.86[/tex]
4) Round to the nearest whole number.
7793
(2u + 7)(3u – 1) = 0 solve buy factoring
Answer:
Factor and set each factor equal to zero.
u = - 7 /2,1/3
Concession Stand Prices. A bag of chips is 50 cents, apple is 20 cents, sandwich is 1 dollar, and juice box is 75 cents.
Erica is working the concession stand. She sold 6 bags of chips, 14 apples, and 3 juice boxes. She has $12.05 in the cash register. How many sandwiches has she sold?
3 sandwiches
4 sandwiches
5 sandwiches
6 sandwiches
Answer:
4
Step-by-step explanation:
bet
Answer:
The Answer is 4 on Edg
Step-by-step explanation:
Mhm
Find the area of a semi-circle with radius, r = 83cm.
Give your answer rounded to 1 DP.
S. Solve the following system of equations algebraically.
3x-y = 0
5x + 2y = 22
Part II: Combine the two equations to eliminate one of the variables. Show the result of this
combination below. (2 points)
Answer:
11x = 22(x, y) = (2, 6)Step-by-step explanation:
Twice the first equation can be added to the second to eliminate the variable y.
2(3x -y) +(5x +2y) = 2(0) +(22)
11x = 22 . . . . . . . the result of the combination
__
Solving this gives ...
x = 2
Substituting into the first equation gives ...
3(2) -y = 0
y = 6
The solution is (x, y) = (2, 6).
Why equals 3/4 X -12 and why equals negative 4X - 31
Answer:
(x, y) = (-4, -15)
Step-by-step explanation:
Perhaps you want the solution to ...
y = 3/4x -12
y = -4x -31
Equating the two expressions for y gives ...
3/4x -12 = -4x -31
3/4x = -4x -19 . . . . . add 12
3x = -16x -76 . . . . . multiply by 4
19x = -76 . . . . . . . . . add 16x
x = -76/19 = -4 . . . . divide by 19
y = (3/4)(-4) -12 = -15 . . . . use the first equation to find y
The solution to this system of equations is ...
(x, y) = (-4, -15)
the length of a rectangle is 4 unit less than the width. which expression represents the perimeter of the rectangle
Answer:
Length: 11
Width: 5
Step-by-step explanation:
Let W = width
Let L = length
Length is 4 less than 3 times the width ==> L = 3*W - 4
Let P = Perimeter = 2*W + 2*L
Perimeter is 22 more than twice the width ==> P = 2*W + 22
Setting the 2 expressions for the perimeter equal to each other gives
2*W + 2*L = 2*W + 22
2*L = 22
L = 11
So 11 = 3*W - 4
3*W = 15
W = 5
The length is 11 and the width is 5
Check: 3*W - 4 = 11 = Length
Perimeter = 32 = 22 more than 2*5 = 10
PLEASE ANSWER I HAVE BEEN ON IT FOr A DARN HOUR
Answer:
-3
Step-by-step explanation:
The equation is y = -3 + .5x
Answer:
g(6) = 0, x = 6
Step-by-step explanation:
Sorry I forgot to look at the graph..
Graph is y = 1/2x - 3
Plug it in.
y = 1/2 (6) - 3
y = 0
For the arithmetic sequence beginning with the terms {9, 14, 19, 24, 29, 34 ...}, what is the sum of the first 23 terms?
Answer:
1472
Step-by-step explanation:
The sum of n terms of an arithmetic sequence is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = 9 and d = 19 - 14 = 5 , thus
[tex]S_{23}[/tex] = [tex]\frac{23}{2}[/tex] [ (2 × 9) + (22 × 5) ]
= 11.5 (18 + 110) = 11.5 × 128 = 1472
Can someone help me with this
Answer:
(y-b) /x = m
Step-by-step explanation:
y = mx+b
Subtract b from each side
y -b = mx+b-b
y-b = mx
Divide each side by x
(y-b) /x = mx/x
(y-b) /x = m
The electric cooperative needs to know the mean household usage of electricity by its non-commercial customers in kWh per day. They would like the estimate to have a maximum error of 0.12 kWh. A previous study found that for an average family the standard deviation is 1.2 kWh and the mean is 17.9 kWh per day. If they are using a 90% level of confidence, how large of a sample is required to estimate the mean usage of electricity? Round your answer up to the next integer.
Answer:
A sample size of at least 271 is required.
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{1-0.9}{2} = 0.05[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.05 = 0.95[/tex], so [tex]z = 1.645[/tex]
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.
Maxium error of 0.12.
How large of a sample is required to estimate the mean usage of electricity?
We need a sample size of at least n.
n is found when [tex]M = 0.12, \sigma = 1.2[/tex]
So
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.12 = 1.645*\frac{1.2}{\sqrt{n}}[/tex]
[tex]0.12\sqrt{n} = 1.645*1.2[/tex]
[tex]\sqrt{n} = \frac{1.645*1.2}{0.12}[/tex]
[tex](\sqrt{n})^{2} = (\frac{1.645*1.2}{0.12})^{2}[/tex]
[tex]n = 270.6[/tex]
Rounding up
A sample size of at least 271 is required.
Which equation represents a line that has a slope of 1/3 and passes through point -2, one
Answer: y= 1/3 x + 5/3
Step-by-step explanation:
1= 1/3(-2) + b where b is the y intercept
1= -2/3 + B
+2/3 +2/3
B = 5/3
so we know the slope and the y- intercept
y= 1/3x + 5/3 check: 1=1/3(-2) +5/3
1 =1
Slope intercept form: y = mx + b
m = slope
b = y-intercept
Since we know the slope and one point, we can solve for the y-intercept.
y = 1/3x + b
1 = 1/3(2) + b
1 = 2/3 + b
1 - 2/3 = 2/3 - 2/3 + b
1/3 = b
Now, put the final equation together.
y = 1/3x + 1/3
Best of Luck!
100 POINTS TO ANSWER THIS PLZ HURRY
Answer:
This is tricky but I think it is A.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The area of a circle is 286 cm2. Use the π button on your calculator for π in your calculations.
8a
If its radius is r cm, find r, correct to 2 decimal places.
Be careful not to round your answer until the very end.
Answer:
9.54 cm
Explanation:
area = πr^2
286 cm^2= πr^2
=>πr^2= 286 cm^2
=>r^2= 286÷π
=>r= √286÷π
: 9.54. m
circumference=2πr
=> circumference=2×π×9.54
=60 cm
What’s the correct answer for this?
Answer:
B
Step-by-step explanation:
In the attached file
Mr. Hernandez combines 1 gallon of orange juice, 3 pints of pineapple juice, and 2 quarts of lemon-lime soda to make punch for a party. He allows 2 cups of punch for each guest. Will there be enough punch to serve all 14 guests? How much, if any, punch will be left
Answer:
1 . There will be enough cup of punch to serve all 14 guest
2. There will be 2 cups of punch left.
Step-by-step explanation:
Mr Hernandez combines 1 gallon of orange juice, 3 pint of pineapple juice and 2 quarts of lemon-lime soda to make punch for a party.
This combination makes up the punch. We have to convert to cups to ascertain if the punch will be enough to serve 14 guest which are entitle to 2 cups of punch. The 14 guest will consume a total of 28 cups of punch .
1 gallon of orange juice = 16 cups of orange juice
1 pint = 2 cups
3 pints of pineapple = 6 cups
1 quarts = 4 cups
2 quarts of lemon-lime soda = 8 cups
When you combine all the cups together, the total punch will be = 16 + 6 + 8 = 30 cups of punch.
The guest will consume a total of 14 × 2 = 28 cups of punch. There will be 30 - 28 = 2 cups of punch left.
In ΔDEF, the measure of ∠F=90°, DE = 9.4 feet, and EF = 8.4 feet. Find the measure of ∠D to the nearest degree.
Answer:
63°
Step-by-step explanation:
The sine of an angle is the ratio of the opposite side to the hypotenuse.
Sin = Opposite/Hypotenuse
sin(D) = EF/DE = 8.4/9.4
Using the inverse sine function, we can find the angle:
D = arcsin(8.4/9.4) ≈ 63.33°
∠D ≈ 63°
Two datasets arranged in descending order are; {8,x , 4,1} and {9,y , 5,2}. If the medians of the two given datasets are equal, what is the value of ( y-x)^2?
Answer:
1Step-by-step explanation:
Median of a dataset is the value at the centre of the dataset after rearrangement.
Given the data {8,x , 4,1}, the median of the set will be two values(x and 4). Since we have two values as the median, we will take their average.
Median of the first data set = x+4/2 ...(1)
For the second dataset {9,y , 5,2}, the median will be y+5/2
Since we are told that the medians of both datasets are equal, we will equate the value of the medians of both datasets as given below;
x+4/2 = y+5/2
cross multiplying;
2(x+4) = 2(y+5)
Dividing both sides by 2 will give;
x+4 = y+5
From the resulting equation;
y-x = 4-5
y-x = -1
(y-x)² = (-1)² = 1
What is the circumference of the following circle?
3 cm
Answer:
the circumference is 9.42 cm
Step-by-step explanation:
3.14 · (3 cm)
c = 9.42 cm
hope this helps :-)
A class of 64 students was given 320 book. How many will each student take home
Answer:
5
Step-by-step explanation:
320 / 64 = 5
A national survey of companies included a question that asked whether the customers like the new flavor of a cola from company A. The sample results of 1000 customers, and 850 of them indicated that they liked the new flavor. The 98% confidence interval on the population proportion of people who like the new flavor is _______________.
Answer:
The 98% confidence interval on the population proportion of people who like the new flavor is (0.8237, 0.8763).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
For this problem, we have that:
[tex]n = 1000, \pi = \frac{850}{1000} = 0.85[/tex]
98% confidence level
So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.85 - 2.327\sqrt{\frac{0.85*0.15}{1000}} = 0.8237[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.85 + 2.327\sqrt{\frac{0.85*0.15}{1000}} = 0.8763[/tex]
The 98% confidence interval on the population proportion of people who like the new flavor is (0.8237, 0.8763).
I need help with this.
Answer:
6
Step-by-step explanation:
1.5*4=6
To solve this problem, we'll set up a ratio between the equivalent values.
We know that 1 1/2 pages and 1/4 of an hour are our two values, and assuming that Azi writes at a constant speed, we're able to write this ratio:
1.5 : .25
(I'm just writing with decimals because I find them easier to work with, but decimals or fractions will give you the correct answer.)
Since .25 is 1/4 of an hour, we can multiply this value by 4 to get 1 hour.
Additionally, since this is a ratio, what you do to one side must be done to the other, so 1.5 will also be multiplied by 4.
(1.5 x 4) = (.25 x 4)
6 = 1
Therefore, Azi can type 6 pages in one hour.
Hope this helped! :)
Mariska was comparing her options for investment. One choice she was looking at showed that her principal of $1,875 over 10 years would
earn $1,125 in interest giving her a total of $3,000 at the end of the investment period. What interest rate is being used to calculate this
Investment?
solve for x. x+y = 14
Answer:
There is not enough information to specifically tell you the amount for x
Answer:x=14-y
Step-by-step explanation:
x+y=14
x=14-y
Mia has a rectangle shape brownie. She cuts the brownie into 3 equal pieces.Which sentence is true ?
Answer:
The whole brownie is 3/3
Step-by-step explanation:
Hello!
This is a classic fractions exercise.
The whole brownie was cut in three equal pieces. Each piece represents 1/3 of the brownie.
If you add the three pieces together 1/3+1/3+1/3 you get the whole brownie again 3/3 = 1
-Options-
The whole brownie is 1/3.
The whole brownie is 3/3.
The whole brownie is 2/3.
The whole brownie is 3/2.
I hope this helps!
the sum of three consecutive numbers is 114 . what is the smallest of these numbers
Answer:
x + (x+1) + (x+2) = 114
3x = 111
x = 37
the numbers are 37, 38 and 39
the smallest number is 37
Step-by-step explanation:
What is the sum in simplest form I ready diagnostic please hurry
example:
The value of x is 22
Step-by-step explanation:
We are given that there are two numbers
First number is x
second number is 35
The sum of x and 35 is 57
so, we get equation as
now, we can solve solve x
So, subtract both sides by 35
if a cube measures 5.3 cm on each side and has a mass of 280 grams how much is its volume
Answer:
8.1 g/cm
Step-by-step explanation:
Pls answer I give brainliest thank you! Number 4
Answer:
6
Step-by-step explanation:
I did the work but like where did that cube go lol
Answer:
1/6 would be the answer because you multiply
1/2 x 1/2 x 1/2 = 1/6
5. 2 by 2 by 1 would work
Step-by-step explanation:
Simplifying products and quotients of powers
7^2•7^8/7^4=7^a/7^4=7^b
A=
b=
Answer:
a=10
b=6
Step-by-step explanation:
add 2 to 8, to get a, then subtract 4 from 10 to get b
Answer:
10 and 6
Step-by-step explanation:
what is the volume of one cube with an edge length of 1/4 inch?
Answer:
(1/64) in^3, or 0.015625 in^3
Step-by-step explanation:
The formula for the volume of a cube of side length s is V = s^3.
Here, with s = 1/4 in,
V = (1/4 in)^3 = (1/64) in^3, or 0.015625 in^3
