Francisco earns $72 in interest after 4 years.
What is simple interest?
Simple Interest (S.I.) is the method of calculating the interest amount for a particular principal amount of money at some rate of interest.
To calculate the interest earned, we can use the formula:
Interest = Principal x Rate x Time
where:
Principal is the initial amount invested ($600)
Rate is the annual interest rate (3% or 0.03 as a decimal)
Time is the number of years the money is invested (4 years)
Plugging in the values, we get:
Interest = $600 x 0.03 x 4
Interest = $72
Therefore, Francisco earns $72 in interest after 4 years.
To learn more about the simple interest visit:
brainly.com/question/20690803
#SPJ1
Kerry invited 23 friends to his pool party. They played a game where everyone had to separate into groups. Each group had the same number of children.The game could not be played with all 24 children in one group and each group had to have more than two children. Which of the following are ways that they could divide into groups? Choose all that apply.
Answer:
24:
6 of 4
or
8 of 3
Step-by-step explanation:
6x4=24
8x3=24
Each class was given 225 glue sticks there are 22 classes so how many do each class get
Answer: 10.2272727273
Step-by-step explanation:
Answer:
Each class = 225 glue sticks
22 classes = 225*25
= 5625 glue sticks
The function f(1) = 60,000(2)
00(2) 410 gives the number
of bacteria in a population & minutes after an initial
observation. How much time, in minutes, does it
take for the number of bacteria in the population to
double?
It takes 10 minutes for the number of bacteria in the population to double.
To determine the time it takes for the number of bacteria in a population to double, we need to find the value of t when the function f(t) equals twice the initial number of bacteria.
The given function is f(t) = 60,000 * 2^(t/10).
To find the time it takes for the number of bacteria to double, we set f(t) equal to twice the initial number of bacteria, which is 2 * 60,000 = 120,000:
120,000 = 60,000 * 2^(t/10).
Next, we can simplify the equation by dividing both sides by 60,000:
2 = 2^(t/10).
Since both sides of the equation have the same base (2), we can equate the exponents:
t/10 = 1.
To solve for t, we multiply both sides by 10:
t = 10.
Therefore, it takes 10 minutes for the number of bacteria in the population to double.
This result is obtained by setting the growth rate of the bacteria population in the given function. The exponent t/10 determines the rate of growth, and when t is equal to 10, the exponent becomes 1, resulting in a doubling of the initial number of bacteria.
For more scuh questions on population visit:
https://brainly.com/question/31243583
#SPJ8
An electronics store advertised a 19-inch model tv
Answer:
oooh really............
What’s 393 + ___ = 708 + 176
Answer: 393 + 491 = 708 + 176
Step-by-step explanation:
Simplify the right side and use a variable for the blank
393+x=708+176
393+x=884
Now subtract 393 on both sides
393-393+x=884-393
x=491
1/7 times 1/8 ANSWER IN UNDER 2 MINUTS AND ILL MAKE YOU BRAINLIEST
Answer:
Hello There!
Your answer is 1/56
Step-by-step explanation:
1/7 (1/8)
You can literally just take out 7 and 8 and multiply than put it back to the proper denominator.
Hope this helps!!
Answer:
1/56
Step-by-step explanation:
multiplying fractions is just the product of the numerators divided by the product of the denominators
1x1=1
7x8=56
Please help!!!
Question 7 of 10
Which of the following rational functions is graphed below?
A. F(x)= 4/ x-1
B. F(x)= x+4/ x-1
C. F(x)= x(x-1)/ (x+4)
D. F(x)= x/ (x+4)(x-1)
The rational function graphed in this problem is given as follows:
D. F(x) = x/[(x + 4)(x - 1)]
How to define the rational function?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator, hence they are given as follows:
x= -4 and x = 1.
Hence the denominator of the function is given as follows:
(x + 4)(x - 1).
The intercept is given as follows:
x = 0.
Hence the numerator is:
x.
Thus the function is given as follows:
D. F(x) = x/[(x + 4)(x - 1)]
More can be learned about rational functions at https://brainly.com/question/1851758
#SPJ1
what is the property of 3x(5x7)=(3x5)7
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
This data is from a sample. Calculate the mean, standard deviation, and variance. Suggestion: use technology. Round answers to two decimal places.
x
22.8
49.8
17.5
44.1
33.2
20.6
43.2
37.7
Mean =
Standard Deviation =
Variance =
Ooops - now you discover that the data was actually from a population! So now you must give the population standard deviation.
Population Standard Deviation =
1. Mean = 33.61
2. Standard Deviation = 11.3284
3. Variance = 128.33
What are the mean, standard deviation, and variance?The given data are: \(22.8, 49.8, 17.5, 44.1, 33.2, 20.6, 43.2, 37.7\)
To get mean, we will sum up all the numbers and divide by the total count. The mean is:
= (22.8 + 49.8 + 17.5 + 44.1 + 33.2 + 20.6 + 43.2 + 37.7) / 8
= 268.9 / 8
= 33.62
Standard Deviation: \(\sqrt((22.8 - 33.61)^2 + (49.8 - 33.61)^2 + (17.5 - 33.61)^2 + (44.1 - 33.61)^2 + (33.2 - 33.61)^2 + (20.6 - 33.61)^2 + (43.2 - 33.61)^2 + (37.7 - 33.61)^2) / 8\)
= \(\sqrt{128.3336}\)
= 11.3284420818
= 11.3284
Variance = (Standard Deviation)^2
Variance = \(11.3284 ^2\)
Variance = 128.33264656
Variance = 128.33.
Read more about measure of centres
brainly.com/question/15214370
#SPJ1
radius = 8.8 cm and height = 4.7 cm what's the volume?
According to the given information in the question the volume of the cylinder is approximately 1232.5 cm³.
What are volume and mass?A three-dimensional object's volume is the area it takes up, and it is expressed in cubic units. Cm3 and in3 are examples of cubic units.On the other hand, an item's mass can be used to calculate how much matter it contains. The weight of an object is a common way to determine mass (in units like pounds or kilograms).
Which is a volume unit?The most popular units of volume in the decimal system of measurement are ml. and liters.
V = * r² * h is the formula for a cylinder's volume.
V = π * (8.8 cm)² * 4.7 cm
V = π * 77.44 cm² * 4.7 cm
V ≈ 1232.5 cm³
To know more about volume visit:
https://brainly.com/question/13338592
#SPJ1
Harlee uses a device to convert her electronic textbook into braille. Unfortunately, the textbook did not include text descriptions of the diagrams, and 2/3 of the pages have diagrams. Let N be the number of pages Harlee reads to reach the first page with a diagram. Assume that the probability of each page having a diagram is independent. Find the mean and standard deviation of N. Round your answers to one decimal place.
Answer:
Mean: 1.5
Standard Deviation: 0.9
Step-by-step explanation:
2/3 of the pages have diagrams, and N is the number of pages Harlee reads to reach a page with a diagram. In order to find the mean, divide 1/(2/3) to get 1.5 as your mean, and then divide sqrt(1-(2/3))/2/3 to get .8660, which rounds to .9.
If a varies inversely with b, and a=20 when b=1/4, find the equation that relates a and b
Answer:
Step-by-step explanation:
280ora
Which is more, 1 kilometer or 1,359 meters?
Answer:
1359 meters
Step-by-step explanation:
thenks and mark me brainliestt :))
Answer:
1359 meters
Step-by-step explanation:
1 kilometer=1000 meters
Brainliest
if correctttttt
Answer:
-2
Step-by-step explanation:
Anything behind the 0 is negative. Anything in front of the 0 is positive.
-2. Notice 10 spaces with a value of 10. This means increments of 1.
Count backwards 1 from 0 twice to get to that arrow.
Numbers left of 0 are negative.
-2
Hope this helps,
Jeron
:- )
(p.s., maybe brainliest if I really helped?? :)))) )
What is the total weight of the bags that weighed /8 pound each?
The total weight of Rice that Mark buys is given as follows:
2.5 pounds.
How to obtain the total weight?The total weight of Rice that Mark buys is obtained applying the proportions in the context of the problem.
The weight of each bag is given as follows:
5/8 pounds = 0.625 pounds.
The number of bags is given as follows:
4 bags.
Hence the total weight of Rice that Mark buys is given as follows:
4 x 0.625 = 2.5 pounds.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
Molly wants to buy a dress that costs $20. She has a coupon for 40% off, and there is a 10% sales tax. How much will she pay altogether?
Answer the questions to find out.
1. What is 40% of $20? Show your work. (2 points)
2. After using the coupon, what is the sale price of the dress? (2 points)
3. How much is the 10% tax on the sale price? Explain how you found your answer. (3 points)
4. After tax is added to the sale price, how much does Molly pay for the dress? (3 points)
Answer:
She will pay $13.20 altogether.
Step-by-step explanation:
1. 40% of 20 is 8.
Write 40% as 40/100.
40/100 of 20 = 40/100 × 20.
2. Sale Price = $12. This means the cost of the dress to Molly is $12. She will pay $12 for a dress with an original price of $20 when discounted 40%.
3. The 10% tax will be $1.20. When a store-issued coupon is redeemed, the sales tax is based on the discounted price (the cost of the item after the coupon is applied). So multiply 12 x 0.10 and you will get 1.20.
4. After tax is added to the sale price, she will pay $13.20.
12.00 + 1.20 = 13.20.
Which statement about x2 + 10x = 11 is true?
Equations are statements that have equal values, when compared
The true statement about \(x^2 + 10x = 11\) are x = 1 and x = -11
How to determine the true statementThe equation is given as:
\(x^2 + 10x = 11\)
Rewrite as:
\(x^2 + 10x - 11 = 0\)
Expand
\(x^2 + 11x - x - 11 = 0\)
Factorize
\(x(x + 11) -1( x + 11) = 0\)
Factor out x + 11
\((x -1)(x + 11) = 0\)
Solve for x
x = 1 or x = -11
Hence, the true statement about \(x^2 + 10x = 11\) are x = 1 and x = -11
Read more about equations at:
https://brainly.com/question/1214333
Please help! Mildly confused on how to solve it
The value of trigonometric function tan θ = -1 is θ = 3π/4.
What are trigonometric ratios?
Sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec) are the six trigonometric ratios. A branch of mathematics called trigonometry in geometry deals with the sides and angles of a right-angled triangle.
The given function is tan θ = -1.
θ = tan^-1(-1)
θ = π- tan ^-1(1)
θ = π- π/4
θ = 3π/4
Therefore, the value is obtained as θ = 3π/4.
To learn more about trigonometric ratios from the given link
brainly.com/question/24349828
#SPJ1
Haley walks at an average rate of 3.5 miles per hour last month she walked 3 weeks at our regular great for 6 hours per week she walk one week at 1 1/2 her regular rates for 4 hours right in evaluate a numerical expression to find the total miles Haley walked last month
Answer:
i need some pts
Step-by-step explanation:
derek borrowed at 10% per annum coumpounded quarterly. how much money he repay after 5 years
The total amount Derek repaid after 5 years of quarterly payments at 10% per annum is $12,829.40.
How are the quarterly payments determined?The quarterly payments represent periodic payments made every three months to offset the credit.
The periodic payments can be computed using an online finance calculator.
Where the periodic payment is given, the total payment made can be determined as the product of the periodic payments and the number of periods involved.
N (# of periods) = 20 quarters (5 years x 4)
I/Y (Interest per year) = 10%
PV (Present Value) = $10,000
PMT (Periodic Payment) = $-641.47
Results:
FV = $-0.03
Sum of all periodic payments = $-12,829.40
Total Interest = $2,829.43
Learn more about periodic payments at https://brainly.com/question/29481482
#SPJ1
Question Completion:Derek borrowed $10,000 at 10% per annum compounded quarterly and repays $641.47 quarterly. How much money did he repay after 5 years?
A basket had 15 mangoes. A monkey came and took
away two-fifths of the mangoes. How many mangoes
were left in the basket
Answer: There are 9 mangoes left in the basket.
Step-by-step explanation:
(2/5) * 15 = 6.
15 - 6 = 9.
please help me answer this asap thank you
find the value of x.
Answer:
x = 20
Step-by-step explanation:
the product of the measures of the parts of one chord is equal to the product of the measures of the parts of the other chord , that is
9x = 15 × 12 = 180 ( divide both sides by 9 )
x = 20
5.4 inches of snow fell in 3.6 hours. How much snow fell per hour?
Answer:
1.5 per hour.
Step-by-step explanation:
By proportion that is 5.4 / 3.6
= 1.5 per hour.
The two-way table below describes the car rental habits of sales representatives attending a conference.
What percentage of representatives staying at least two nights rented a car?
20%
44%
55%
79%
Answer:
44 bro
Step-by-step explanation:
The percentage of representatives staying at least two nights rented a car is 44%.
What is Percentage?Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.
So the percentage actually means a part per 100.
Percentage is usually denoted by the symbol '%'.
Given is a two way table.
From the table, the number of representatives staying at least 2 nights rented a car is 11.
Total number of representatives staying at least two nights = 14 + 11 = 25
Percentage = (11 / 25) × 100
= 0.44 × 100
= 44%
Hence the percentage for the required number is 44%.
To learn more about Percentage, click :
https://brainly.com/question/29306119
#SPJ2
PLEASE HELP ME QUICK!!A train moves at a constant speed of 8 miles every 6 minutes. Fill in the table below to show how far the train travels according to different
amounts of time.
Answer:
1. 4
2. 20
3. 80
Step-by-step explanation:
100 Points! Algebra question, photo attached. Please show as much work as possible. Thank you!
A. The distributions of the periods is that using the five number summary is that
The 7th Period has higher minimum and lower maximumThe 3rd period is more spread (from the quartiles)The 7th Period has higher medianB. The box and whisker plot of the periods is attached
A. Comparing the distributions of the periodsFrom the question, we have the following parameters that can be used in our computation:
7th Period
66, 72, 77, 78, 78, 80, 82, 84, 84, 87, 88, 88, 89, 89, 90 92, 92, 93, 94, 94 96, 96
3rd Period
52, 60, 62, 64, 64, 65, 68, 71, 72, 74, 75, 76, 78, 79, 83, 84, 85, 88, 89, 93, 94, 97
The distributions of the periods will be compared using the five-number summaries
Using a graphing tool, the five-number summaries are:
7th Period
Minimum: 66Lower Quartile Q1: 79.5Median: 88Upper Quartile Q3: 92.25Maximum: 963rd Period
Minimum: 52Lower Quartile Q1: 64.75Median: 75.5Upper Quartile Q3: 85.75Maximum: 97B. Creating a box and whisker plot of the periodsThe box and whisker plot of the periods is added as an attachment
From the box and whisker plot attached, we can see the five-number summaries of the periods
Read more about box plot at
https://brainly.com/question/3473797
#SPJ1
Let a and b be real numbers where a=/b=/c=/0 which of the following functions could represent the graph below?
Answer: The second option; y = (x - a)^2*(x-b)^4
Step-by-step explanation:
Ok, we have that a and b are real numbers different than zero.
In the graph, we can see that the line touches the x-axis in two values. Now, if we would have an equation like:
y = x*(x - a)^3*(x - b)^3
then when x = 0 we would have:
y = 0*(0-a)^3*(0-b)^3 = 0
But in the graph, we can see that when x = 0, the value of y is different than zero, so we can discard options 1 and 3.
So the remaining options are:
y = (x - a)^2*(x-b)^4
y = (x - a)^5*(x - b)
Now, another thing you can see in the graph is that it is always positive.
Particularly the second option allows negative values for y because it has odd powers, then we can also discard this option.
(For example, if x > a and x < b we would have a negative value for y)
Then the only remaining option is y = (x - a)^2*(x-b)^4
Answer:
B.y = (x - a)^2*(x-b)^4
Step-by-step explanation:
EDGE 2020 Brainliest please
Anna built a prism in the shape of a cube out of wood
The volume of the two prisms compares that the volume of prism B will double.
We are given that side length of the cube measured 18 inches in length. She built another prism (Prism B) with the same dimensions as the cube, except she doubled its height.
When the prism is such that if we slice it horizontally at any height smaller or equal to its original height, the cross-section is same as its base, then its volume is:
V = B x h
So, the volume of the two prism A= V = B x h
V = 18 x h = 18h
the volume of the two prism B= V = B x h
V = 18 x 2h = 36h
So, the volume of prism B will double thus the correct option is B.
Learn more about volume of a prism here:
https://brainly.com/question/21308574
#SPJ1
The complete question is;
Anna built a prism (Prism A) out of a cube of wood. The side length of the cube measured 18 inches in length. Anna built another prism (Prism B) with the same dimensions as the cube, except she doubled its height.
How does the volume of the two prisms compare?
The volume of prism B will triple.
The volume of prism B will double.
The volume of prism B will decrease.
The volume of prism B will be cut in half.
Need help, Will mark brainlest!
Answer:14/3 ×2/7Step-by-step explanation:14/3÷7/2
take reciprocal
=14/3×2/7
Hope this may help you
If the answer is correct please mark me the brainlest
Answer:
Option 2
Step-by-step explanation:
=> \(4\frac{2}{3} / 3\frac{1}{2}\)
Changing them into improper fractions
=> \(\frac{14}{3} / \frac{7}{2}\)
Changing division sign into multiplication and inverting the term after it
=> \(\frac{14}{3} * \frac{2}{7}\)
A radio station require DJ's to play 2 commercials for every 10 songs they play. What is the unit rate of songs to commercials?
Answer:
the unit rate is 12 or 67