Suppose you invest $1600 at an annual interest rate of 4.6% compounded continuously. Using the formula A(t) =P*e^rt , how much will you have in the account after 4 years
A bakery has total receipts for the month of $24,150 including sales taxes. if the sales tax rate is 5%, what are the bakery's sales for the month?
a.$24,000
b.$23,000
c.$23,100
d.$22,943
Option B= $23000 is the answer.
Explanation:
Let the bakery's sales for the month be represented by = x
As given, the bakery has total receipts for the month = $24150
Rate of sales tax = 5%
This implies that total monthly sales(x) + sales tax on 'x' = 24150
[tex]x+\frac{5x}{100}=24150[/tex]
[tex]x+0.05x=24150[/tex]
[tex]1.05x=24150[/tex]
x=23000
Hence, the bakery's sale for the month is $23,000
You randomly select one card from a 52-card deck. find the probability of selecting a black seven or a red three.
The probability of selecting a black seven or a red three will be 1/13.
What is Probability?
The term probability refers to the likelihood of an event occurring.
Given that;
You randomly select one card from a 52-card deck.
Now,
Number of black sevens = 2
Number of red three = 2
So, The probability of selecting a black seven or a red three is;
= (2 + 2) / 52
= 4 / 52
= 1 / 13
Thus, The probability of selecting a black seven or a red three will be 1/13.
Learn more about the probability visit:
https://brainly.com/question/24756209
#SPJ2
11 black balls and 14 white balls are placed in an urn. two balls are then drawn in succession. what is the probability that the second ball drawn is a white ball if the second ball is drawn without replacing the first ball?
[tex] |\Omega|=25\cdot24=600\\
|A|=11\cdot14+14\cdot13=154+182=336\\\\
P(A)=\dfrac{336}{600}=\dfrac{14}{25}=56\% [/tex]
The problem is in the picture
Answer:
∠1 and ∠2,
∠3 and ∠4,
∠5 and ∠6
Explanation:
Supplementary angles are angles opposite each other that share the same line that is being dissected by a perpendicular line. The sum of their angles will always equal 180 degrees.
Angles 1 and 2 are an example of such supplementary angles. They share the horizontal line but are being dissected by descending line which creates their angles.
Angles 3 and 4 are more of the same. They share the somewhat-vertical line and are dissected by a different descending line that created them.
Lastly, Angles 5 and 6 are also supplementary angles. They share the somewhat-vertical line and are dissected by the horizontal line, resulting in their angles.
Angles 7 and 8 are not supplementary angles. Rather, they are vertically-opposite angles, or vertical angle pairs, two angles lying opposite each other existing at the point where two lines intersect. These angles have the same exact measurement and their sum will never equal 180 degrees.
Cable hangs between two poles of equal height and 37 feet apart. at a point on the ground directly under the cable and x feet from the point on the ground halfway between the poles the height of the cable in feet is
To test upper h 0: muequals50 versus upper h 1: muless than50, a random sample of size nequals22 is obtained from a population that is known to be normally distributed. complete parts (a) through (d) below.
The question relates to a statistical hypothesis test, specifically comparing a sample mean to a known population mean. This involves recognizing null and alternative hypotheses, identifying and calculating a test statistic, deciding a significance level, determining a critical value, and finally comparing the test statistic to this critical value to decide whether to reject or not reject the null hypothesis.
Explanation:The subject matter posed in the question concerns a statistical hypothesis test.
In these cases, we have two contradictory hypotheses about a population: the null hypothesis, denoted as 'H₀', which generally represents the status quo or a statement of no effect (e.g. a population mean is equal to 50), and the alternative hypothesis, denoted 'H₁', the contrary of the null hypothesis (population mean is not equal to 50). In your specific case, the null hypothesis 'H₀' is that the mean is equal to 50 (μ = 50) and the alternative hypothesis 'H₁' is that the mean is less than 50 (μ < 50).
To test these hypotheses, you could follow these steps:
Identify a test statistic: Since we know the population is normally distributed and we are comparing the sample mean to the population mean, we can use a z-test statistic.
Compare the test statistic to the critical value to decide whether to reject or fail to reject the null hypothesis.
After these steps, interpret the results in terms of the problem.
Learn more about Hypothesis Testing here:https://brainly.com/question/34171008
#SPJ3
please help me :)))))
The graph of the function f(x)=4sqrt x is shifted down by three units. What is the domain of the resulting function
How to find the of each figure #5,6,7,8
Question 11 please solve
The histogram shows the number of vacation days taken by employees in the past year. Based on the histogram, which statement is true?
A.)Four employees took 20 vacation days in the past year.
B.) Four employees took 25 vacation days in the past year.
C.) Four employees took between 20 and 25 vacation days in the past year.
D.) Between 20 and 25 employees took four vacation days in the past year.
Answer:
Option(C)
Step-by-step explanation:
As per histogram, given below
3 students took holidays between 5-10 days.
5 students took holidays between 10-15 days.
5 students took holidays between 15-20 days.
4 students took holidays between 20-25 days.
3 students took holidays between 25-30 days.
therefore, option (C) is correct.
Lucia is not yet 80 years old. each of her sons has as many sons as brothers. the combined number of lucias sons and grandsons equals her age, and her oldest grandson is 29. how old is lucia? place your numerical answer in the corresponding answer blank.
The digits 1,2,3,4,5,6,7 and 8 are arranged randomly to form a three-digit number find the probability that the number is even and greater than 800
[tex] |\Omega|=8\cdot7\cdot6=336\\
|A|=\underbrace{1\cdot6\cdot3}_{\text{8,any,even}}=18\\\\
P(A)=\dfrac{18}{336}=\dfrac{3}{56}=5\% [/tex]
A restaurant uses 290 pounds of onions every 2 and a half weeks. If they continue to use onions at the same rate, how many pounds of onions will they use in 6 weeks?
Yahtzee is played with 5 dice player attempt to score point buy rolling various combinations. when all 5 dice show the same nubmer
what are the discontinuities of the function f(x) = x^2+5x+6/2x+16
Answer:
The discontinuity of the function is at x=-8.
Step-by-step explanation:
Given : Function [tex]f(x)=\frac{x^2+5x+6}{2x+16}[/tex]
To find : What are the discontinuities of the function?
Solution :
Discontinuity of the function is happen when denominator is zero.
First we factor the function,
[tex]f(x)=\frac{x^2+5x+6}{2x+16}[/tex]
[tex]f(x)=\frac{(x+2)(x+3)}{2(x+8)}[/tex]
Denominator = 0
[tex]2(x+8)=0[/tex]
[tex]x+8=0[/tex]
[tex]x=-8[/tex]
The discontinuity of the function is at x=-8.
Sarah is playing a game in which she rolls a number cube 20 times. The results are recorded in the chart below. What is the experimental probability of rolling a 1 or a 3?
Number on cube:1,2,3,4,5,6
Number of times event occurs:3,6,1,5,3,2
A.0.2
B.0.3
C.0.6
D.0.83
the lengths of three line segments are 4 centimeters,5 centimeters,and 9 centimeters?is it 1,
No triangles can be constructed from line segments of 4 cm, 5 cm, and 9 cm in length, because the Triangle Inequality Theorem requires the sum of any two sides to be greater than the third side, which is not the case here.
The lengths of three line segments are 4 centimeters, 5 centimeters, and 9 centimeters. To determine how many triangles can be constructed with these segments as sides, we need to apply the Triangle Inequality Theorem. This theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In this case, the sum of the two shortest sides, 4 cm and 5 cm, is 9 cm, which is equal to the length of the longest side. Because one condition for the Triangle Inequality Theorem is not strictly being met (the sum must be greater, not equal), we can conclude that no triangles can be constructed using these three segments as sides.
When constructing triangles from three measures of angles or sides, it's important to realize that these conditions determine whether you can create a unique triangle, more than one triangle, or no triangle at all.
5.
Find the present value of the annuity.
Amount Per Payment: $6,225
Payment at End of Each: Quarter
Number of Years: 6
Interest Rate: 8%
Compounded: Quarterly
Linda needs 20 gallons of juice that has 75%fruit juice. she has a mixture that has 80% fruit juice and another mixtures that has 60% fruit juice. how much of each mixture should she use to get what she need?
What is the LCD of the following rational expressions?
x/x+1 , 7x/x-1
please help I'm so confused!?
Mr zucco baked a total of 270 cupcakes and muffins. After ue sold 1/3 of the cupcakes and baked 18 more miffins, he had twice as many cupcakes as muffins. How many cupcakes and muffins did mr. Zucco bake to begin with?
After the hairdresser Jenny had 27 centimeters cut off her hair how many decimeters of hair did jenny have cut off
Answer:
2.7 dm
Step-by-step explanation:
You want to know the number of decimeters in 27 centimeters.
SI PrefixesThe SI prefix "deci-" means 1/10.
The SI prefix "centi-" means 1/100.
This tells you that 10 cm = 1 dm.
27 cm = (27 cm) × (1 dm)/(10 cm) = 2.7 dm
Jenny had 2.7 dm of hair cut off.
Look at the table. Make a conjecture about the sum of the first 15 positive even numbers.
The conjecture about the sum of the first 15 positive even numbers is 15 * 16
Making a conjecture about the sum of the first 15 positive even numbers.
From the question, we have the following parameters that can be used in our computation:
The table of values
Where, we have
2 = 1 * 2
2 + 4 = 2 * 3
2 + 4 + 6 = 3 * 4
And so on
This means that
Sum of first n positive even numbers = n * (n + 1)
So, for the first positive even numbers, we have
n = 15
This gives
Sum of first 15 positive even numbers = 15 * (15 + 1)
Evaluate
Sum = 15 * 16
Sum = 240
Hence, the sum is 15 * 16
In a lottery game, a single ball is drawn at random from a container that contains 25 identical balls numbered from 1 through 25. find the probability that the number drawn is a multiple of 77 or a multiple of 4.
What is the surface area of a rectangular prism that has a length of 9 feet, a width of 5 feet, and a height of 7.5 feet?
Answer: 300 ft²
Step-by-step explanation:
(-8,7),(-9,-5) write in Ax+By=C
Write the standard form of the equation of the circle with the given center and radius.
(-3, 6); 10
Answer:
A circle with center at (-3, 6) and a radius of 10 has the following standard form equation
[tex](x+3)^2+(y-6)^2=100[/tex]
Step-by-step explanation:
This is the general standard equation for the circle centered at (h, k) with radius r
[tex](x-h)^2+(y-k)^2=r^2[/tex]
It shows all the important information at a glance: the center (h, k) and the radius r.
A circle with center at (-3, 6) and a radius of 10 has the following standard form equation
Start with:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Put in (h, k) and r
[tex](x-(-3))^2+(y-6)^2=10^2\\(x+3)^2+(y-6)^2=100[/tex]
What is the perimeter of the rectangle? Write your answer in scientific notation. The area is 2.76 x 10 pw12
the width is 4.6 x 10 pw5
pw is the power
To calculate the perimeter of a rectangle given the area and the width, divide the area by the width to find the length, then use the formula Perimeter = 2(Length + Width), adjusting for scientific notation as necessary. This will provide the perimeter in scientific notation.
Explanation:To find the perimeter of the rectangle when we have the area and the width, we need to first calculate the length of the rectangle using the formula Area = Length × Width. The width is given as 4.6 x 105 and the area is 2.76 x 1012. To find the length, we divide the area by the width:
Length = Area ÷ Width = (2.76 x 1012) ÷ (4.6 x 105)
After performing the division, we obtain the length in scientific notation. The next step is to use the formula Perimeter = 2(Length + Width). After calculating the sum of the length and width, we multiply by 2 to obtain the perimeter of the rectangle in scientific notation.
Let's assume after performing the calculation that the length is found to be L x 10n where L and n are specific numbers. The perimeter now would be calculated as:
Perimeter = 2((L x 10n) + (4.6 x 105))
Be sure to adjust the exponents so they match before adding the length and width together. This might involve converting one or the other so that you can add them directly. Once that is done, you can multiply by 2 to find the total perimeter of the rectangle and express it in scientific notation.