Answers:
(a) $1092.03
(b) $1093.08
===========================================
Work shown for part (a)
A = P*(1+r/n)^(n*t)
A = 1000*(1+0.09/2)^(2*1)
A = 1000*(1+0.045)^(2)
A = 1000*(1.045)^(2)
A = 1000*1.092025
A = 1092.025
A = 1092.03
Don't forget to round to the nearest penny, aka nearest hundredth.
-----------------------------------
Work shown for part (b)
A = P*(1+r/n)^(n*t)
A = 1000*(1+0.09/4)^(4*1)
A = 1000*(1+0.0225)^(4)
A = 1000*(1.0225)^(4)
A = 1000*1.09308331878906
A = 1093.08331878906
A = 1093.08
Please help me with this question.
Answer:
Step-by-step explan
THATS A U PROBLEM!
2/7 divided by 5/6 in simplest form
Answer:
12/35
Step-by-step explanation:
2/7 / 5/6
= 2/7 x 6/5
= 12/35
K
Fill in the blank.
The process of arriving at an approximate answer to a computation such as 0.79×403 is called
TEI
The process of arriving at an approximate answer to a computation such as 0.79 × 403 is called
A
The process of arriving at an approximate answer to a computation such as 0.79 × 403 is called estimation.
What is estimation in mathematics?Having an approximate estimate of something's worth, number, size, or extent is referred to as estimation in mathematics. When we are willing to accept a response that is extremely near to the true result, we utilize estimates of numbers to make mental computations simpler and faster.
The computation is approximate, or the number is rounded to the nearest place value.
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true or false: a vertical shift is an example of a non-rigid transformation.
A vertical shift is an example of a non-rigid transformation this statement is False.
What is vertical shift?Vertical shift is the transformation of a graph in which all of its points are shifted up or down by a fixed amount. This transformation does not change the shape of the graph but only moves the graph up or down along the vertical axis. It is often used to analyze the effects of changes in parameters on the graph. For example, a vertical shift may be used to show the effect of a change in the slope of a line.
A vertical shift is an example of a rigid transformation because it preserves the angles and distances between the points of the original figure. A rigid transformation is one that preserves the shape and size of the original figure.
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A company estimates that the demand for its product fluctuates with the price it charges. The demand function is q = 450,000 – 400p where q equals the number of units demanded and p equals the price in naira. The total cost of producing q units of the product is estimated by the function C = 400,000 + 200p + 0.0005q²? (a) Determine how many units q should be produçed in order to maximize annual profit. (b) What price should be charged? (c) What is the annual profit expected to equal?
The company should create 1 unit of production in Plant 1 in order to optimize its earnings.
Identify the optimal number of units to produce in order to maximize annual profit ?The company should create 1 unit of production in Plant 1 in order to optimize its earnings.
Any extra unit above one in Plant 1 would reduce the demand for the firm's goods, which is determined by
P = 78 – 15 Q, where Q = Q1 + Q2.
For instance, the company will generate four units in Q2 if it produced two units in Q1.
The negative demand for the firm's goods will range from 33 units
(78 - 15 x 3, where Q = 3) to -12 units (78 - 15 x 6, where Q = 6),
depending on the production output.
The output of the company at Plant 1 (Q1) that maximizes its earnings is therefore 1.
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HELP PLS URGENTLYY
Image attached
The correct option regarding the quotient of the two fractions is given as follows:
B. [tex]\frac{(4x^2 + 6)(x + 2)}{10x^2 + 15}[/tex], no values must be excluded.
How to divide two fractions?The division of two fractions is given by the multiplication of the first fraction by the inverse of the second fraction.
The first fraction for this problem is given as follows:
(4x² + 6)/(x - 2).
The second fraction for this problem is given as follows:
(10x² + 15)/(x² - 4).
Applying the subtraction of perfect squares, we have that:
x² - 4 = (x + 2)(x - 2).
Then the division of the two fractions is given as follows:
(4x² + 6)/(x - 2) x [(x + 2)(x - 2)/(10x² + 15)]
Simplifying the x - 2 terms, we have that:
[tex]\frac{(4x^2 + 6)(x + 2)}{10x^2 + 15}[/tex]
No values must be excluded, as the denominator would be never zero, as:
10x² + 15 = 0
10x² = -15.
x² is always positive, hence 10x² will never be equals to -15.
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Jada made 6 cups of blueberry jam and divided the jam equally among 4 containers how much jam went in each container
Answer:
Step-by-step explanation:
You take one ball randomly from a bag with 10 yellow, 5 orange and 5 green balls. What is the probability that you don’t take a yellow ball.
0
1
1/2
Can not be determined
Answer: The probability of not taking a yellow ball can be found by using the formula:
Probability of event A = (Number of favorable outcomes) / (Total number of outcomes)
In this case, the event of not taking a yellow ball is the favorable outcome, and the total number of outcomes is the total number of balls in the bag, which is 10 yellow, 5 orange, and 5 green balls. So, the total number of outcomes is 20.
The number of balls that are not yellow is 5 orange + 5 green = 10.
So, the probability of not taking a yellow ball is
Probability of not taking a yellow ball = (Number of non-yellow balls) / (Total number of balls) = 10/20 = 1/2
So the answer is 1/2.
Step-by-step explanation:
One aircraft has a capacity of 88 more seats than a second
aircraft. A third aircraft has 103 seats less than twice the seating
capacity of the second aircraft. If their total number of seats is
1909, find the number of seats for each aircraft.
Answer:
Let's call the number of seats in the first aircraft "x", the number of seats in the second aircraft "y", and the number of seats in the third aircraft "z".
From the problem statement, we know that:
x = y + 88 (the first aircraft has 88 more seats than the second aircraft)
z = 2y - 103 (the third aircraft has 103 seats less than twice the seating capacity of the second aircraft)
x + y + z = 1909 (the total number of seats in all three aircraft is 1909)
We can substitute the first equation into the third equation to get:
y + 88 + 2y - 103 = 1909
3y = 2000
y = 666 (the number of seats in the second aircraft)
Now that we know the number of seats in the second aircraft, we can use the first and second equations to find the number of seats in the other two aircraft:
x = y + 88 = 666 + 88 = 754 (the number of seats in the first aircraft)
z = 2y - 103 = 2(666) - 103 = 1229 (the number of seats in the third aircraft)
So, the first aircraft has 754 seats, the second aircraft has 666 seats and the third aircraft has 1229 seats.
Vote Me Brainliests
Answer: The first aircraft has 265 seats, the second aircraft has 177 seats and the third aircraft has 248 seats.
Step-by-step explanation:
Let's call the number of seats for the first aircraft x, the number of seats for the second aircraft y, and the number of seats for the third aircraft z.
From the problem, we know the following:
x = y + 88 (the first aircraft has a capacity of 88 more seats than the second aircraft)
z = 2y - 103 (the third aircraft has 103 seats less than twice the seating capacity of the second aircraft)
x + y + z = 1909 (the total number of seats for all three aircraft is 1909)
We can use the first equation to substitute for x in the second and third equations:
y + 88 = y + 88
2y - 103 = z
Now we have a system of equations:
y + 88 + y + 2y - 103 + z = 1909
4y + z = 2000
We can use the first equation to find y:
y = (1909 - 88 - 103) / 4 = 709 / 4 = 177
Now we can substitute this value of y back into the first equation to find x:
x = y + 88 = 177 + 88 = 265
and substitute it back into the second equation to find z:
z = 2* 177 - 103 = 248
So the first aircraft has 265 seats, the second aircraft has 177 seats and the third aircraft has 248 seats.
Do shoppers at the mall spend less money on average the day after Thanksgiving compared to the day after Christmas? The 57 randomly surveyed shoppers on the day after Thanksgiving spent an average of $135. Their standard deviation was $49. The 55 randomly surveyed shoppers on the day after Christmas spent an average of $147. Their standard deviation was $32. What can be concluded at the
α
= 0.05 level of significance?
The conclusion of the test hypothesis at the significance level of 0.05 is given as follows:
The results are statistically insignificant at the significance level of 0.05, meaning that there is insufficient evidence to conclude that the mean on the day after Thanksgiving is less than the mean on the day after Christmas.
What are the hypothesis tested?At the null hypothesis, it is tested if the mean is not greater than 135, that is:
[tex]H_0: \mu = 135[/tex]
At the alternative hypothesis, it is tested if the mean is greater than 135, hence:
[tex]H_1: \mu > 135[/tex]
What is the test statistic?The test statistic is given by the equation presented as follows:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard error.The parameters for this problem are given as follows:
[tex]\overline{x} = 147, \mu = 135[/tex]
The standard error is obtained as follows:
[tex]s = \sqrt{\left(\frac{49}{\sqrt{57}\right)^2 + \left(\frac{32}{\sqrt{55}\right)^2}}[/tex]
s = 7.79.
Hence the test statistic is of:
t = (147 - 135)/7.79
t = 1.54.
What are the p-value and conclusion?The p-value of the test is obtained considering a right-tailed test, as we are testing if the mean is greater than a value, with 57 + 55 - 2 = 110 df and t = 1.54.
Using a t-distribution calculator, the p-value is given as follows:
0.0632.
Greater than the p-value, hence the result is not significant.
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The distribution of hourly rates of registered nurses in a large city has mean $31 and standard deviation $5.
a) What is the distribution of the sample mean based on a random sample of 100 registered nurses in the city?
b) Find the probability that the average hourly rate of the 100 nurse sample exceeds $31.50.
a) The distribution of sample means of 100 registered nurses in the city is approximately normal, with mean $31 and standard deviation of $0.5.
b) The probability that the average hourly rate of the 100 nurse sample exceeds $31.50 is of: 0.1587 = 15.87%.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.By the Central Limit Theorem, the sampling distribution of sample means of size n is approximately normal and has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].The parameters for this problem are given as follows:
[tex]\mu = 31, \sigma = 5, n = 100, s = \frac{5}{\sqrt{100}} = 0.5[/tex]
The probability that the average hourly rate of the 100 nurse sample exceeds $31.50 is one subtracted by the p-value of Z when X = 31.5, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem:
[tex]Z = \frac{X - \mu}{s}[/tex]
Z = (31.5 - 31)/0.5
Z = 1
Z = 1 has a p-value of 0.8413.
1 - 0.8413 = 0.1587 = 15.87%.
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help me with this answer
Answer:
f(1) = 7
Step-by-step explanation:
f(1) has x = 1 in the interval x < 2 with f(x) = - 2x + 9 , then
f(1) = - 2(1) + 9 = - 2 + 9 = 7
Pls write the answer.
Answer:
the first one is the correct answer
Isosceles triangle OPQ has legs OP = OQ, base PQ = 2 , and POQ = 45. Find the distance from O to PQ.
In other words, how can you find the hight of an isosceles triangle with the base and angles.
The height of the isosceles triangle OPQ is given as follows:
2.41.
What is isosceles triangle?An isosceles triangle is a triangle that has two equal side lengths, hence it also has two equal angle measures.
The top angle is of 45º, while the sum of the internal angles of the triangle is of 180º, hence the base angles are obtained as follows:
2x + 45 = 180.
2x = 135
x = 135/2
x = 67.5º.
Then the height is obtained considering a right triangle, in which the height is opposite to an angle of 67.5º, while the adjacent side has length of 1, which is half the base.
Applying the tangent of the angle of 67.5º, the height is obtained as follows:
tan(67.5º) = h/1
h = tan(67.5º)
h = 2.41.
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Hi I need help asap ?!!! Thank you!!!!
Answer:
3.65
Step-by-step explanation:
3.78
1.30
___
2.48
3-1=2
7-3=4
8-0=8 -
Using rectangles whose height is given by the value of the function at the midpoint of the rectangle's base (the midpoint rule), estimate the area under the graph of the following function, using two and then four rectangles.
[tex]y=81-x^2[/tex] between [tex]x=-9[/tex] and [tex]x=9[/tex]
The estimates of the area under the curve using rectangles is given as follows:
Two rectangles: 729 units squared.Four rectangles: 911.25 units squared.How to approximate the area?The area under a curve is approximated using the definite integral of the function that defines the curve within it's bounds.
As it is specified that the area should be approximated using rectangles, a Left Riemann Sum will be used to approximate the area.
With two rectangles, the Delta value is obtained as follows:
[tex]\Delta_x = \frac{9 - (-9)}{2}[/tex]
[tex]\Delta_x = 9[/tex]
The values of x are obtained with the rule presented as follows:
[tex]x_i = a + \Delta_x(i - 1)[/tex]
With two rectangles, the values are given as follows:
-9 and -9 + 9 = 0.
The numeric values are given as follows:
x = -9: 81 - (-9)² = 0.x = 0: 81 - 0² = 81.The definite integral is given as follows:
[tex]\sum_{i = 1}^n = \Delta_xf(x_i)[/tex]
Hence the result is of:
9 x 81 = 729 units squared.
With four rectangles, the Delta value is given as follows:
[tex]\Delta_x = \frac{9 - (-9)}{4} = 4.5[/tex]
Hence the values of x are:
x = -9, x = -4.5, x = 0, x = 4.5.
The numeric values are:
x = -9: 81 - (-9)² = 0.x = -4.5: 81 - (-4.5)² = 60.75.x = 0: 81 - 0² = 81.x = 4: 81 - (-4.5)² = 60.75.Hence the result of the integral is given as follows:
4.5(60.75 + 81 + 60.75) = 911.25 units squared.
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What is a rational consumer in classical economics ?
Answer:
A rational consumer is an economic concept that presupposes that when making a choice, consumers will always focus primarily on the maximisation of their private benefits. In decision making, rational consumers select the option that will bring the most utility and satisfaction to them.
Without using the P value chart, how would you find the P value using Excel?
To find the P value using Excel, you can use the T.TEST function. The T.TEST function calculates the probability of a given test statistic, such as the T-value, assuming that the null hypothesis is true. The function takes several arguments, including the range of values for the sample data, the hypothesized mean of the population, the type of test (two-tailed or one-tailed), and the significance level.
Here is an example of how to use the T.TEST function in Excel:
Enter your sample data into a column in Excel.
In an empty cell, enter the formula =T.TEST(data range, hypothesized mean, type of test, significance level).
Replace "data range" with the range of cells containing your sample data, "hypothesized mean" with the mean of the population, "type of test" with 1 for a one-tailed test or 2 for a two-tailed test, and "significance level" with the level of significance.
Press enter, the P-value will be returned.
For example, if your sample data is in cells A1:A10, the hypothesized mean is 0, the type of test is two-tailed, and the significance level is 0.05, the formula would be =T.TEST(A1:A10, 0, 2, 0.05)
The P-value returned will be the probability that the sample data came from a population with a mean equal to the hypothesized mean, assuming that the null hypothesis is true.
Can you please explain to me what, 232+232 is?
Answer: 464
Step-by-step explanation: 232+232 = 464
Answer:
464 is answer very easy.........
A= xIx is a letter in the word tale
What is the cardinal number?
Answer:
Assasination
Step-by-step explanation:
TBH I think this is it. I did some research and this is what I got. weird huh?
Hope this helps :)
Select two numbers that have 9 as their greatest common factor. Mark all that apply.
Answer:18,9
Step-by-step explanation:
9x1=9 9x2=18
write an expression for 9 less than the product of 11 and c
Answer:
11(c)-9
Step-by-step explanation:
The product is the result of multiplication, so the product of 11 and c looks like: 11*c or 11(c).
Nine less means subtract, so we simply subtract from the above to get:
11(c)-9 or I suppose another answer could be -9+(11(c))
Analyze the diagram below and complete the instructions that follow.
Find the unknown side length, x. Write your answer in simplest radical form.
A. 2047
B.60
C. 5/ 169
D.65
The unknown side length x is 65 units.
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 Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.
Given:
Perpendicular = 33
Base = 56
Using Pythagoras theorem
H² = P² + B²
H² = 56² + 33²
H²= 3136 + 1089
H² = 4225
H= √4225
H = 65
Hence, the unknown length is 65 units.
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Gianna drives 5 miles in 10 minutes. If she drove three hours in total at the same rate,
how far did she go?
Before you try that problem, answer the question below.
How many minutes did Gianna drive in total?
Gianna is 90 miles far away in 3 hours of driving.
She drove in total of 180 minutes.
What is speed?The speed can be defined as the rate at which an object covers some distance. Speed can be measured as the distance traveled by a body in a given period of time. The SI unit of speed is m/s.
Given,
Gianna drives 5 miles in 10 minutes
Speed per minute = 5/10 = 0.5 miles/minute
Gianna drove in total for 3 hours
1 hour = 60 minutes
3 hours = 60 × 3 = 180 minutes
Distance Gianna drove in 180 minutes = speed per minute × time
= 0.5 × 180
= 90 miles
Hence, Gianna drove 90 miles in 3 hours, 180 minutes is total time she drove.
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Help please and thank you
Answer: By SSS, ΔSUR ≅ ΔTVR.
Step-by-step explanation:
This might be a longer method, but still here you go.
Given, ΔSTU ≅ ΔTSV
By CPCT, we have the following.
∠TUS / ∠RUS = ∠SVT / ∠RVT ---- 1
SU = TV ---- 2
SV = TU ---- 3
∠STU / ∠STR = ∠TSV / ∠TSR
Now, in the triangle TRS,
TR = SR ( ∠TSR = ∠STR) ---- 4
SV= TU
SV - SR = TU - TR (SR= TR)
UR = VR ---- 5
Now, we can use SSS in the triangles ΔSUR and ΔTVR
SU = TV (2)
SR = TR (4)
UR = VR (5)
Therefore, by SSS, ΔSUR ≅ ΔTVR.
Cheers
7 Jon is using square ceramic tiles, each 20cm x 20cm, to cover a rectangular worktop in his greenhouse. He can fit exactly 6 tiles along the shorter edge of the worktop and 15 along the length. (a) How many tiles will he use, altogether, to cover the worktop? (b) What is the length of the worktop? Give your answer in metres (m). .m
Salut/Hello!
Answer: a) 90 tiles ; b) 3 m
Step-by-step explanation:
a) First we need to imagine a drawing of the empty worktop. We know the width is equal to 6 tiles and the length is equal to 15 tiles. If the shorter edge fits 6 tiles then we have 6 sets of 15 tiles.
6 x 15 = 90 tiles
b) We know the length of one tile is 20 cm so the length of 15 tiles that fit in the worktop is equal to 300 cm or 3 m
I hope it was helpful!
a) To cover the workshop, he has to use 90 tiles altogether.
b) The length of the workshop is 3 meters.
We know that the area of the rectangle is
Area = length × width
Here shorter edge is called width and the longer edge is called length.
Also given that,
The tiles required to cover the shorter edge are 6 tiles.
The tiles required to cover the longer edge are 15 tiles.
so, the total tiles required to cover the worktop are
Area = 15 tiles × 6 tiles
= 90 tiles
Therefore, 90 tiles are required to cover the worktop.
To find the length of the worktop,
Required length = length of each tile × no. of tiles
By applying the formula,
Required length = 20 cm × 15
= 300 cm
1 meter = 100 centimeteres
Therefore, the length of the worktop is 3 meters.
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Selling Price: John owns a video game business. He purchases the games
for a price of $13.80. He wants to make a 146% profit on the games. What
does John sell the games for? (round to the nearest 10. example: $5.46 will
round to $5.50)
O $33.00
O $34.95
O $35.25
O $34.25
To find out how much John should sell the games for to make a 146% profit, we can use the following formula:
selling price = cost + (cost x (profit percentage / 100))
We know that the cost is $13.80 and the profit percentage is 146%. So we can plug those values into the formula:
selling price = $13.80 + ($13.80 x (146 / 100))
Solving this equation gives us:
selling price = $13.80 + ($13.80 x 1.46) = $13.80 + $20.108 = $33.908
So, John should sell the games for $33.908 (rounding to the nearest .10, the answer is $33.90)
Out of the options you provided: the closest one is $33.00
I hope this helps :)
Solve 3^x−5 = 9. Group of answer choices x = −3 x = 2 x = 7 x = 8
Answer: [tex]x=7[/tex]
Step-by-step explanation:
[tex]3^{x-5}=9\\ \\ 3^{x-5}=3^2 \\ \\ x-5=2 \\ \\ x=7[/tex]
Answer:
-3
Step-by-step explanation:
PLEASE HELP 20 POINTS!
A new cruise ship line has just launched 3 new ships: the Pacific Paradise, the Caribbean Paradise, and the Mediterranean ParadiseThe Caribbean Paradise has 16 more deluxe staterooms than the Pacific Paradise. The Mediterranean Paradise has 28 fewer deluxe staterooms than four times the number of deluxe staterooms on the Pacific Paradise Find the number of deluxe staterooms for each of the ships if the total number of deluxe staterooms for the three ships is 1176
ANSWERS MUST ADD UP TO 1176
Step-by-step explanation:
x = number of deluxe staterooms on Pacific.
deluxe staterooms on Caribbean = x + 16
deluxe staterooms on Mediterranean = 4x - 28
1176 = x + (x + 16) + (4x - 28) = 6x - 12
1188 = 6x
x = 1188/6 = 198
so,
Pacific has 198 luxury staterooms.
Caribbean has 198 + 16 = 214 luxury staterooms.
Mediterranean has 4×198 - 28 = 792 - 28 = 764 luxury staterooms.
As x gets very large, which function becomes largest and remains so?
A y = 5x^3
B y = 4x^2
C y = ^3x
D y = 7x
As x gets very large , the function that becomes largest is y = 5x^3
What are exponential function?An exponential function is a Mathematical function in the form f (x) = a^x, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.
An exponential function is defined by the formula f(x) = a^x, where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x. Where a>0 and a is not equal to 1. x is any real number.
This means that the greater the power of x , the larger the function of y.
For example, If y = 5x^n , as n increases the value of x increases and the value of y will increase also.
Therefore the largest function as x becomes large is y = 5x^3
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