The correct answer is
\( = \frac{130}{3} \)
Austin opened a savings account and deposited $600.00 as principal. The account earns 5% interest, compounded annually. What is the balance after 8 years?
Answer:
$886.47
Step-by-step explanation:
The demand for a given product demand is formulated by the linear trend equation: y= 50 – 6t.
Based on this information, when would be the first period that there is NO demand at all for this product?
Answer:
t >= \(\frac{25}{3}\) or 8.33333333333
Step-by-step explanation:
We need to set up an inequality where demand is less than or equal to 0. The inequality looks like this:
50 - 6t <= 0
50 <= 6t
t >= \(\frac{25}{3}\) or 8.33333333333
struggling pls show how you work out
Answer:
\(sin^{-1}\) (0.5) = 30°
Step-by-step explanation:
taking the sine if an angle gives a value
doing the reverse ( the inverse ), that is the inverse sine \(sin^{-1}\) of the value obtained by sine gives the angle, that is
sin30° = 0.5 , then
\(sin^{-1}\) (0.5) = 30°
In the diagram below, FC = 10.9,
DE = 17.5, and DF = 13.1. Find the
length of EB. Round your answer to the
nearest tenth if necessary.
D
F
E
C
B
The length of EB is approximately 14.6 units when rounded to the nearest tenth.
To find the length of EB, we can use the property of similar triangles in this diagram. By looking at triangle DFE and triangle CFB, we can see that they are similar triangles.
Using the similarity ratio, we can set up the proportion:
DF / CF = DE / EB
Plugging in the given values, we have:
13.1 / 10.9 = 17.5 / EB
To find EB, we can cross-multiply and solve for EB:
13.1 * EB = 10.9 * 17.5
EB = (10.9 * 17.5) / 13.1
EB ≈ 14.6
Therefore, the length of EB is approximately 14.6 units when rounded to the nearest tenth.
for such more question on length
https://brainly.com/question/20339811
#SPJ8
The mean June midday temperature in Desertville is 36°C and the standard deviation is 3°C.Assuming this data is normally distributed, how many days in June would you expect the midday temperature to be between 39°C and 42°C?
Answer:
The value is \(E(X) = 4 \ days\)
Step-by-step explanation:
From the question we are told that
The mean is \(\mu = 36^oC\)
The standard deviation \(\sigma = 3^oC\)
Generally the probability that in June , the midday temperature is between
39°C and 42°C is mathematically represented as
\(P(39 < X < 42) = P(\frac{39 - 36}{3} < \frac{X - \mu }{\sigma} < (\frac{42 - 36}{3} )\)
\(\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )\)
\(P(39 < X < 42) = P(1 < Z <2 )\)
=> \(P(39 < X < 42) = P(Z < 2) - P( Z <1 )\)
From the z table the area under the normal curve to the left corresponding to 1 and 2 is
P(Z < 2) = 0.97725
and
P(Z < 1) = 0.84134
\(P(39 < X < 42) = 0.97725 - 0.84134\)
=> \(P(39 < X < 42) = 0.13591\)
Generally number of days in June would you expect the midday temperature to be between 39°C and 42°C
\(E(X) = n * P(39 < X 42 )\)
Here n is the number of days in June which is n = 30
\(E(X) = 30 * 0.13591\)
=> \(E(X) = 4 \ days\)
Sarah uses a recipe to make 4 gallons of her favorite mixed-berry juice. The containers she plans to use to store the juice have a capacity of 1 pint.
How many containers will Sarah need?
Sarah will need
containers.
Answer:
16 containers.
Step-by-step explanation:
1 gallon = 8 pints, so 2 gallons = 16 pints.
If each container can hold one pint, then she will need 16 containers.
Solve the equation . Check your solution
Answer:
x=48/8=6
Step-by-step explanation:
simple form
8x-48=0
fractionized
8(x-6)=0
Three students that share a townhouse find that their electric bill for October is $2.23 less than the September bill. The
total of both bills is $292.43, and each bill is split evenly among the roommates. How much did each owe in September?
Answer:
$47.48
Step-by-step explanation:
Let x = the amount owed Sept.
x + x - 2.23 = 292.43 Combine like terms
2x -2.23 = 292.43 Add 2.23 to both sides
2x - 2.23 + 2.23 = 292.43 + 2.23
2x = 294.66 Divide both sides by 2
\(\frac{2x}{2}\) = \(\frac{294.66}{2}\)
x = 147.33 this is the bill for September
Oct. 147.33 -2.23 = 145.10 This is the Bill for Oct.
Total:
147.33 + 145.10 = 292.43
292.43 ÷ 3 = 97.48 This is what each will owe rounded to the nearest penny.
Given that XH bisects
Answer choices
A.) 50
B.) 48
C.) 62
D.) none of the above
please help asap !!!
Abby will receive a cash prize when she earns 300 bonus points at the videoshop. Abby receives 5 bonus points every time she rents a recent release videoat the video store, plus a 60-point bonus for becoming a member. The totalnumber of bonus points, B is given by B = 5n + 60, where n is the number ofvideos being rented. How many videos must Abby rent to receive her cashprize
PLEASE HELP!!! DUE IN 10 MIN!!!
Answer:
\(64\)cm³
Step-by-step explanation:
\(8 \times 2 \times 4 \\ = 64\)
Answer:
64
Step-by-step explanation:
Hello There!
The formula for volume of a rectangular prism is
\(V=lwh\)
where w = width
l = length
h = height
They give us the following dimensions
height = 4
width = 2
length = 8
all we have to do is plug in the values
\(V=2(4)8\\2*4=8\\8*8=64\\V=64\)
Thus the answer is 64
At the opening of a new movie 45% of the people in the theater were children.There were 187 adults were in the theater.What was the total number of people at the movie?
The number of people at the movie is 340
How to determine the number of people at the movieLet's represent the total number people at the movie as "x".
We know that the number of adults in the movie is 187 and the percentage of children is 45%
So we can write:
187 = (1 - 45%) * x
This gives
187 = 0.55x
To solve for x, we can divide both sides by 0.55:
x = 187/0,55
Evaluate
x = 340
Hence, the number of people is 340
Read more about percentage at
https://brainly.com/question/24877689
#SPJ1
a waitress wondered if there was an association between the type of food and the type of drink customers ordered. the results are displayed below. based on the graph, is there an association between food ordered and drink ordered? there is an association because the distribution of drinks ordered differs among the food groups. there is an association because the distribution of drinks ordered is the same among the food groups. there is no association because the distribution of drinks ordered differs among the food groups. there is no association because the distribution of drinks ordered is the same among the food groups.
Yes, there is an association between food ordered and drink ordered because the distributive property of drinks ordered differs among the food groups.
Yes, there is an association between food ordered and drink ordered, as evidenced by the graph. The graph shows the distribution of drinks ordered among the various food groups, and it can be seen that the distribution differs among the food groups. For example, beer is the most popular drink ordered when burgers are the food ordered, while soda is the most popular drink when salads are the food ordered. This indicates that customers are more likely to order certain drinks depending on the type of food they are ordering, showing an association between food ordered and drink ordered.
Learn more about distributive property here
https://brainly.com/question/5637942
#SPJ4
In the diagram below of triangle BCD, E is the midpoint of BD and F is the midpoint of CD. If EF = 43-4x, and BC = 32-2x, what is the measure of EF?
The measure of the length EF of the triangle is; 21
How to solve similar triangles?We are given the the triangle BCD and we are told that;
E is the midpoint of BD.
F is the midpoint of CD
Now, since we have those midpoints, it means that by the concept of similar triangles, that;
DF/DC = EF/BC
Since F is the midpoint of DC, then it means that;
2DF = DC
We are given;
EF = 43 - 4x, and BC = 32 - 2x
Thus, we now have;
DF/(2DF) = (43 - 4x)/(32 - 2x)
1/2 = (43 - 4x)/(32 - 2x)
Cross multiply to get;
32 - 2x = 43 - 4x
4x - 2x = 43 - 32
2x = 11
x = 11/2
x = 5.5
Thus;
EF = 43 - 4(5.5)
EF = 43 - 22
EF = 21
Thus, we conclude that the side length EF is 21.
Read more about similar triangles at; https://brainly.com/question/14285697
#SPJ1
if x=5 and y=2 workout the value of
Answer:
17
50
9
Step-by-step explanation:
write an explicit formula for an the nth term of the sequence 40, 33, 26
Answer:
\(a_{n}\) = - 7n + 47
Step-by-step explanation:
there is a common difference between consecutive terms , that is
33 - 40 = 26 - 33 = - 7
this indicates the sequence is arithmetic with nth term
\(a_{n}\) = a₁ + d(n - 1)
where a₁ is the first term and d the common difference
here a₁ = 40 and d = - 7 , then
\(a_{n}\) = 40 - 7(n - 1) = 40 - 7n + 7 = - 7n + 47
A box has a width of 10 cm and a length of 17 cm. The volume of the box is decreasing at a rate of 527 cubic cm per minute, with the width and length being held constant. What is the rate of change, in cm per minute, of the height when the height is 6 cm?
Round your answer to the nearest hundredth. (Do not include any units in your answer.)
Therefore, the rate of change, in cm per minute, of the height when the height is 6 cm is approximately -6 cm/min.
Given,The width of the box = 10 cm Length of the box = 17 cmThe volume of the box = 527 cubic cm/minWe need to find the rate of change, in cm per minute, of the height when the height is 6 cm.We know that the volume of the box is given as:V = l × w × h where, l, w and h are length, width, and height of the box respectively.It is given that the width and length are being held constant.
Therefore, we can write the volume of the box as
:V = constant × h Differentiating both sides with respect to time t, we get:dV/dt = constant × dh/dtNow, it is given that the volume of the box is decreasing at a rate of 527 cubic cm per minute.
Therefore, dV/dt = -527.Substituting the given values in the above equation, we get:
527 = constant × dh/dt
We need to find dh/dt when h = 6 cm.To find constant, we can use the given values of length, width and height.Substituting these values in the formula for the volume of the box, we get:
V = l × w × hV = 17 × 10 × hV = 170h
We know that the volume of the box is given as:V = constant × hSubstituting the value of V and h, we get:
527 = constant × 6 cm
constant = 87.83 cm/minSubstituting the values of constant and h in the equation, we get
-527 = 87.83 × dh/dtdh/dt = -6.0029 ≈ -6 cm/min
For such more question on Length
https://brainly.com/question/28108430
#SPJ8
Please helpppp guyssssss
Answer:
the answer is B because the 30x how much they charge each hiur and the other one has a trend of 25 each hour so P charges 5 more .
using the line of best fit
The monthly cell phone bill when shared data equals zero is given as follows:
$26.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.The intercept of the line in this problem is given as follows:
b = 26.
Hence $26 is the monthly cell phone bill when shared data equals zero.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
There are 25 employees at a resaraunt. Yesterday 6 called in sickbut tje rest came to worrk. What percentage of employees came to work?
Answer: You divide 6 by 25. The answer is .24 or 24%
Step-by-step explanation:
plz mark me brainliest
Which graph is defined by f(x) = x²-x-2|?
O A.
О в.
OC.
O D.
graph A
graph B
graph C
graph D
a line y=mx+5 passes through the point 1,6 and is parallel to y=4x+6 what is the value of b
A y= -1/4x+2
B y=1/4x+5
C y=4x+2
D y=4x+5
The equation of the straight line would be -
y = 4x + 5.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that a line y = mx + 5 that passes through the point (1, 6) and is parallel to y = 4x + 6.
The general equation of a straight line is given by -y = mx + c
Here - {m} is slope and {c} is y - intercept.Equation of the line is -
y = mx + 5
It is parallel to -
y = 4x + 6
Then -
m = 4 {slopes of || lines are equal)
So, we get the equation as -
y = 4x + 5
Therefore, the equation of the straight line would be -
y = 4x + 5.
To solve more questions on algebraic expressions, visit the link below -
brainly.com/question/1041084
#SPJ1
look at image please
The normal distribution is X ~ N(17, 0.8), the median is equal to mean which is 17 feet, the z-score is 2.5, the probability that a randomly selected giraffe will be shorter than 18 feet tall is 0.8944.
What is the distribution of Xa. The distribution of X is normal, which we can write as X ~ N(17, 0.8).
b. Since the normal distribution is symmetric, the median is equal to the mean, which is 17 feet.
c. To find the z-score for a giraffe that is 19 feet tall, we use the formula:
z = (x - μ) / δ
where x is the height of the giraffe, mu is the mean height of the population (17 feet), and sigma is the standard deviation (0.8 feet). Plugging in the values, we get:
z = (19 - 17) / 0.8 = 2.5
So the z-score for a giraffe that is 19 feet tall is 2.5.
d. To find the probability that a randomly selected giraffe will be shorter than 18 feet tall, we need to find the area under the normal distribution curve to the left of x = 18. We can use a standard normal distribution table or a calculator to find this area, or we can standardize the value of x and use the standard normal distribution table or calculator. Using the latter method, we have:
z = (x - μ) / δ = (18 - 17) / 0.8 = 1.25
Looking up the area to the left of z = 1.25 in a standard normal distribution table or using a calculator, we find that the probability is approximately 0.8944. So the probability that a randomly selected giraffe will be shorter than 18 feet tall is 0.8944.
e. To find the probability that a randomly selected giraffe will be between 16.7 feet and 17.5 feet tall, we need to find the area under the normal distribution curve between x = 16.7 and x = 17.5. Again, we can standardize the values of x and use a standard normal distribution table or calculator. We have:
z1 = (16.7 - 17) / 0.8 = -0.38
z2 = (17.5 - 17) / 0.8 = 0.63
Looking up the area between z1 = -0.38 and z2 = 0.63 in a standard normal distribution table or using a calculator, we find that the probability is approximately 0.2981. So the probability that a randomly selected giraffe will be between 16.7 feet and 17.5 feet tall is 0.2981.
f. The 90th percentile for the height of the giraffe is the height x such that 90% of the giraffes have a height below x. In other words, we need to find the value of x such that the area under the normal distribution curve to the left of x is 0.9. Using a standard normal distribution table or calculator, we can find the z-score corresponding to the 90th percentile, which is approximately 1.28. We can then use the formula for z-score to find the corresponding height x:
z = (x - μ) / δ
1.28 = (x - 17) / 0.8
Solving for x, we get:
x = 17 + 1.28 * 0.8 = 18.024
So the 90th percentile for the height of the giraffe is 18.024 feet.
Learn more on normal distribution here;
https://brainly.com/question/4079902
#SPJ1
45 points!!!!
solve questions 1-3
1. PV (option A)
A radius is a line segment that extends from the center of the circle to the exterior.
2. RT (option C)
A tangent is a line that touches the circle at only one point and exists on the outside of the circle.
3. PVU (option A)
A central angle has its vertex at the center of the circle. The two lines which make up the sides of the angle are going to be radii.
Hope this helps!
The woods behind Wendy’s house were 8 miles wide and have an area of 24 mi.² what is the length of the woods 
Answer:
48 miles
Step-by-step explanation:
i think thats it.
Answer: 4.
Step-by-step explanation: 8+8=16. count how many more until you get to 24, that is 8. Split 8 in half. We get 4.
Hope this helps!
A small order of fries at Wendy’s has 90 more calories than the small order of fries at McDonald’s. If together they have 550 calories, how many calories are in the Wendy’s small order of fries?
Answer:
i think the wendy's small fries are 460 calories
Step-by-step explanation:
The tape diagram represents an equation.
Answer:
20
Step-by-step explanation:
6p = 120
p = 120/6
p = 20
what is the equation that best models the data from the table after the data has been linearized? a. log y = 0.116315x+0.249114
b. log y = 0.249114x+0.116315
c. log y = 0.0288761x+0.435269
d. log y = 0.435269x+0.0288761
Okay, let's analyze the linearized data options to determine which equation best models it:
a. log y = 0.116315x+0.249114
This has a positive slope coefficient of 0.116315, so it will model increasing data. But the y-intercept term 0.249114 is negative, so the model line would start below the origin. This does not seem to match the typical linear relationship we would expect.
b. log y = 0.249114x+0.116315
This also has a positive slope coefficient, but now the y-intercept term 0.116315 is positive. This could potentially model increasing data that starts above the origin. However, without seeing the data it's hard to definitively say if this is the best fit.
c. log y = 0.0288761x+0.435269
This has a positive but much smaller slope coefficient of 0.0288761. This would model increasing data at a much shallower rate. Again, without seeing the data we can't rule this out, but it seems less likely.
d. log y = 0.435269x+0.0288761
This has a larger positive slope coefficient of 0.435269, so it would model increasing data at a steeper rate. And the positive y-intercept term of 0.0288761 ensures the model line starts above the origin.
Of these 4 options, choice d (log y = 0.435269x+0.0288761) seems the most likely to best model increasing linear data that starts above the origin. However, without seeing the actual data points, we can't say that with certainty. The slope and intercept values would need to give the closest fit to the data for that to be the definitive choice.
Let me know if this helps explain the options, or if you have any other questions!
g(t)=−(t−1)
2
+5g, left parenthesis, t, right parenthesis, equals, minus, left parenthesis, t, minus, 1, right parenthesis, squared, plus, 5
What is the average rate of change of
�
gg over the interval
−
4
≤
�
≤
5
−4≤t≤5minus, 4, is less than or equal to, t, is less than or equal to, 5?
The average rate of change over is 1.
Given that;
the function is,
⇒ g (t) = - (t - 1)² + 5
Hence, We need to determine the average rate of change over the interval - 4 ≤ t ≤ 5.
The value of G(-4):
The value of G(-4) can be determined by substituting t = -4 in the function
⇒ g (t) = - (t - 1)² + 5
Thus, we have,
⇒ g (t) = - (-4 - 1)² + 5
⇒ g (t) = - 20
Thus, the value of G(-4) = -20
The value of G(5):
The value of G(5) can be determined by substituting t = 5 in the function , we get,
⇒ g (t) = - (t - 1)² + 5
⇒ g (t) = - (5 - 1)² + 5
⇒ g (t) = - 11
Thus, the value of G(5) is, -11
Now, Average rate of change:
The average rate of change can be determined using the formula,
⇒ G(b) - G (a) / (b - a)
where, a = - 4 and b = 5
Substituting the values, we get,
⇒ G(5) - G (-4) / (5 - (-4))
⇒ ( - 11 - (- 20)) / 9
⇒ 9/9
⇒ 1
Thus, the average rate of change over the interval is. 1.
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ1
What is 8 5/9 + 3 5/6 + 6 4/9
Answer:
improper fraction form 113/6
mixed number 18 5/6