Answer:
The question not complete
Dan invests £18790 into his bank account he receives 5.3% per year simple interest how much will Dan have after 7 years.
Dan will have £25783.21 after 7 years by investing £18790 at a simple interest rate of 5.3% per year.
The question concerns how much money Dan will have after 7 years with an investment of \£18790\ at a \simple interest rate\ of 5.3% per year. We can calculate the total amount in Dan's bank account using the formula for simple interest:
Total amount = Principal + (Principal × rate × time)
Where:
Principal (P) is the initial amount invested, which is £18790.
Rate (r) is the annual interest rate, which is 0.053 (5.3% expressed as a decimal).
Time (t) is the number of years the money is invested, which is 7 years.
Now, let's do the calculation:
Total amount = £18790 + (\£18790 * 0.053 * 7\)
Total amount = £18790 + £6993.21
Total amount = £25783.21
Thus, Dan will have \£25783.21\ in his bank account after 7 years.
What is a unit rate?
Answer:
A unit rate is something over a unit of something else.
Such as: (50 miles) / hour
If you have (150 miles) / 3 hours
This is not a unit rate, therefore you have to divide the top and bottom by 3 to get the unit rate
(150/3 miles) / (3/3 hours)
(50 miles) / hour
Hope this helps :)
Write the proportion of 5 and 20
Answer:
5 : 20 = 1 : 4
Step-by-step explanation:
Common multiple is 5 so divide each number bu five.
It took Jerry 3 4/5 hours to get to his grandmother's house. He walked for 2/5 hour to the train station, rode on a train for 1 4/5 hours, and then took a bus. How much time did Jerry spend riding on the bus?
Jerry spent 4/5 hour riding on the bus.
First, let's find the total time Jerry spent walking and riding the train:
Walking time = 2/5 hour
Train ride time = 1 4/5 hours
To find the total time spent, add these two:
2/5 + 1 4/5 = (2/5) + (1 + 4/5) = (2/5) + (1 + 4/5) = (2/5) + (5/5 + 4/5) = (2/5) + (9/5) = (2 + 9)/5 = 11/5 hours
Now, since Jerry spent a total of 11/5 hours walking and riding the train, to find out how much time he spent on the bus, we subtract this from the total time it took him to get to his grandmother's house:
Total time = 3 4/5 hours
Bus ride time = Total time - (Walking time + Train ride time)
= 3 4/5 - 11/5
= (15/5) - (11/5)
= 4/5 hours
Casey has 281 tennis balls. She will put them in containers that hold 3 tennis balls. About how many containers will Casey use? A) 50 B) 70 C) 80 D) 90
Answer:
90
Step-by-step explanation:
If we have total around 281 items, and we can divide them into groups of 3.
We can make around 281/3 groups which is about 90
When will my dad come back from the store?
Wait 8 to 10 years and he might come back.
Answer:
at this point, probably never
Step-by-step explanation:
well besides that, have a great day!
Determine whether each event is impossible,
unlikely, as likely as not, likely, or certain:
a) Bonne's Spanish Club meets on Tuesday
afternoons. How likely is it that Bonnie is at the
mall on Tuesday afternoon?
Answer:
likely
Step-by-step explanation:
certain magical substance that is used to make solid magical spheres costs $500 per cubic foot. The power of a magical sphere depends on its surface area, and a magical sphere can be sold for $30 per square foot of surface area. If you are manufacturing such a sphere, what size should you make them to maximize your profit per sphere?
Answer:
The value of r to have maximum profit is 3/25 ft
Step-by-step explanation:
To find:
The size of the sphere so that the profit can be maximized.
Manufacturing cost of the solid sphere = $500/ ft^3
Selling price of sphere (on surface area) = $30 / ft^2
We see that the manufacturing cost dealt with he volume of the sphere where as the selling price dealt with the surface area.
So,
To maximize the profit (P) .
We can say that:
⇒ [tex]P(r)=(unit\ cost)\ (SA) - (unit\ cost)\ (Volume)[/tex]
⇒ [tex]P(r)=(30)\ (4 \pi r^2) - (500)\ (\frac{4\pi r^3}{3} )[/tex]
⇒ [tex]P(r)=(120)\ (2\pi r^2) - (\frac{500\times 4}{3} )\ \pi r^3[/tex]
⇒ [tex]P(r)=(120)\ (\pi r^2) - (\frac{2000}{3} )\ \pi r^3[/tex]
Differentiate "[tex]P[/tex]" and find the "[tex]r[/tex]" value then double differentiate "[tex]P[/tex]", plug the "[tex]r[/tex]" values from [tex]P'[/tex] to find the minimum and maximum values.
⇒ [tex]P(r)'=(120)\ 2\pi r - (\frac{2000}{3} )\ 3\pi r^2[/tex]
⇒ [tex]P(r)'=(240)\ \pi r - (2000)\ \pi r^2[/tex]
Finding r values :
⇒ [tex](240)\ \pi r - (2000)\ \pi r^2 =0[/tex]
Dividing both sides with 240π .
⇒ [tex]r-\frac{25}{3} r^2 =0[/tex] ⇒ [tex]r(1-\frac{25}{3} r) =0[/tex]
⇒ [tex]r=0[/tex] and [tex]r=\frac{3}{25}[/tex]
To find maxima value the double differentiation is :
⇒ [tex]P(r)'=(240)\ \pi r - (2000)\ \pi r^2[/tex] ...first derivative
Double differentiating :
⇒ [tex]P(r)''=(240\pi) - (2000\pi)\ 2(r)[/tex] ...second derivative
⇒ [tex]P(r)''=(240\pi) - (4000\pi)\ (r)[/tex]
Test the value r = 3/25 dividing both sides with 240π
⇒ [tex]1 - \frac{50\pi r}{3}[/tex]
⇒ [tex]1 - \frac{50\times \pi\times 3 }{3\times 25}[/tex]
⇒ [tex]-5.28 < 0[/tex]
It passed the double differentiation test.
Extra work :
Thus:
⇒ [tex]P(r)=(120)\ (\pi r^2) - (\frac{2000}{3} )\ \pi r^3[/tex]
⇒ [tex]P(r)=(120)\times (\pi (\frac{3}{25} )^2) - (\frac{2000}{3} )\times \pi (\frac{3}{25} )^3[/tex]
⇒ [tex]P(r) =1.8095[/tex]
Finally r =3/25 ft that will maximize the profit of the manufacturing company.
Give an example of a sequence satisfying the condition or explain why no such sequence exists. (a) A divergent sequence {an} such that {a2n} converges. (b) A monotonically increasing sequence that converges to 0. (c) A convergent sequence that is not bounded. (d) A monotonically decreasing bounded sequence that diverges.
Answer:
Step-by-step explanation:
a) Consider the sequence [tex]a_n =1 [/tex] if n is odd, and [tex] a_n= -1[/tex] if n is even. So, the sequence diverges (since as n tends to infinity the sequence doesn't approach any particular number), but the subsequence of the even integers is convergent to -1 since it is constant.
b) consider the sequence [tex] a_n = -e^{-n}[/tex]. The function f(x) = [tex] e^{-x}[/tex] when x is real is a monotolically decreasing function and tends to 0. Then, when multiplying by a minus sign, it becomes a monotonically increasing function that tends to 0. Hence, the given sequence is monotonically increasing and converges to 0.
c) Suppose that the sequence [tex]a_n[/tex] converges to a. So, from an specific n and on, the values of [tex]a_n[/tex] are really close to a. So, for almost all the value of the sequence, they are less than a+1 and greater than a-1. Hence it must be bounded.
d) It is a theorem that a monotonically decreasing/increasing sequence that is bounded must converge, so such a sequence can't exist.
In mathematics, various types of sequences can be studied. Examples of sequences satisfying certain conditions are presented in this solution.
Explanation:(a) An example of a divergent sequence {an} such that {a2n} converges is the sequence {1, -1, 1, -1, ...}. The terms of the sequence alternate between positive and negative 1, so the sequence does not converge. However, the subsequence {a2n} consists of only positive 1's, which converges to 1.
(b) An example of a monotonically increasing sequence that converges to 0 is the sequence {1/n} for n = 1, 2, 3, ... Each term of the sequence is smaller than the previous term, and as n approaches infinity, the terms get closer and closer to 0.
(c) It is not possible for a convergent sequence to be unbounded. By definition, a convergent sequence approaches a specific limit, which means it cannot go beyond a certain value. If a sequence is not bounded, it cannot converge.
(d) An example of a monotonically decreasing bounded sequence that diverges is the sequence {(-1)^n/n} for n = 1, 2, 3, ... The terms of the sequence alternate between positive and negative values, but as n approaches infinity, the terms get smaller and smaller, converging towards 0. Therefore, the sequence is bounded. However, the sequence does not converge to a specific value, so it diverges.
Learn more about sequences here:https://brainly.com/question/30262438
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A circular garden is surrounded by a rectangular grassy
area. The garden takes up nearly half the grassy area.
The base of the grassy area is 6 yards by 3 yards.
Use the base of the grassy area to find the approximate
area of the circular garden. Use pi = 3.14. If necessary,
round to the nearest tenth.
O 4.7 ydº
O 7.1ydº
O 9.4 yd?
O 28,3 yd2
3 yards
6 yards
Answer:
7.1 yds
Step-by-step explanation:
i just answered it
Answer:
7.1
Step-by-step explanation:
Mary lost 30 lbs. Before her diet she weighed 180 pounds. What is the percent of change?
Answer:
The percent change is 16.67
Step-by-step explanation:
Answer:
16.7%
Step-by-step explanation:
Her weight decreased by 30 lb.
Expressed as a fraction: (-30 lb)/(180 lb) = (-1/6)
As a percentage, her weight loss came to (-1/6)(100%) = 16.7%
A researcher wants to examine the effect of caffeine on sleep. She splits participants into two groups. The first group drinks caffeinated-coffee at 8pm and the second group drinks decaf-coffee at 8pm. The researcher records what time participants fall asleep. What is the independent variable
Answer:
Type of coffee
Step-by-step explanation:
First, that is, it is the independent variable.
It is the variable that does not depend on another value or other circumstance, it is the variable that generally would be the options to choose from and depending on what is chosen, different results are obtained.
In this case, the variable that has this behavior is the type of coffee that will be taken, whether it is caffeinated or decaffeinated coffee.
Identify the functions that have the given property.
The domain is all real numbers for .
An x-intercept is (pi,0) for .
The minimum value is –1 for .
An x-intercept is (pi/2,0) for .
Answers
1, both the sine and cosine function
2, the sin function
3, both the sine and cosine function
4, the cosine function
Answer:
this is right!
Step-by-step explanation:
i got it right on edge
The functions that have the given properties are the sine and cosine functions. The sine function is odd, with x-intercepts at integer multiples of pi and a minimum value of -1 at x=3pi/2. The cosine function is also odd, with x-intercepts at odd multiples of pi/2 and a minimum value of -1 at x=pi.
Explanation:The functions that have the given properties are the sine and cosine functions.
The sine function: The sine function is odd, which means that it satisfies the property of being an odd function. The x-intercepts of the sine function are at integer multiples of pi, and the minimum value is -1 at x=3pi/2.The cosine function: The cosine function is also an odd function. The x-intercepts of the cosine function are at odd multiples of pi/2, and the minimum value is -1 at x=pi.Therefore, the functions that satisfy all the given properties are the sine and cosine functions.
Please , help me I completely don’t understand
answer:
yeah i dont knoww....
What type of relationship does there appear to be between the day of the week and the number of newspapers sold?
A) no relationship
B) quadratic relationship
C) exponential relationship
D) positive linear relationship
Answer:
A
Step-by-step explanation:
hi.
Lucy and Katy are registering for a sports league for next year. There are 2 sports (volleyball and basketball) and 3 seasons (fall, winter, and spring) to choose from. They each created a display to represent the sample space of randomly picking a sport and a season. Whose display correctly represents the sample space?
Answer:
The sample space is: AV, WV, SV, AB, WB, and SB
Step-by-step explanation:
The sample space has all the possibilities in which Lucy and Katy can register for a sports league. Now, they have 2 sports and 3 seasons.
So, let's call V that they register in volleyball and B that they register in basketball. Additionally, let's call A that they register for fall, W that they register for winter, S that they register for spring.
It means that the sample space is:
AV, WV, SV, AB, WB, and SB
where, for example, AV is the possibility to be registered in fall and in volleyball.
Therefore, the display that correctly represents the sample space is the one that has all these possibilities.
A student earned grades of Upper Aâ, Upper Câ, Upper Aâ, Upper Câ, and Upper D. Those courses had the corresponding numbers of credit hours 3â, 4â, 3â, 2â, and 4. The grading system assigns quality points to letter grades asâ follows: Aequalsâ4; Bequalsâ3; Cequalsâ2; Dequalsâ1; Fequals0. Compute the grade point averageâ (GPA) as a weighted mean and round the result with two decimal places. If theâ Dean's list requires a GPA of 3.00 orâ greater, did this student make theâ Dean's list?
Answer:
G.P.A.=2.5
The Student did not make the Dean's List
Step-by-step explanation:
The Students Grade and Subject Weight are listed below.
[TeX]\left|\begin{array}{c|c|c|c}------&-------&------&------\\ Grade&Credit Hour& Grade Weight & Product \\------&-------&------&------\\ A & 3 & 4 & 12 \\ C & 4 & 2 & 8\\A & 3 & 4 & 12\\C & 2 & 2 & 4\\D & 4 & 1 & 4\\------&-------&------&------\\Total& &16 &40 \end{array} \right| [/TeX]
Grade Point Average=Total Credit Hour÷Total Number of Hours
=40÷16
G.P.A.=2.5
Since the Dean's list requires a GPA of 3.0 or greater, the student does not make the Dean's list.
Which statement best describes the interquartile range of this set of weights?
{120 lb, 115 lb, 135 lb, 105 lb, 80 lb, 160 lb}
the difference between the first and sixth elements of the set as it is written above
the difference between the second and fifth elements of the set as it is written above
the difference between the first and sixth elements of the set after it has been ordered from least to greatest
the difference between the second and fifth elements of the set after it has been ordered from least to greatest
Answer:
D
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
the difference between the second and fifth elements of the set after it has been ordered from least to greatest
Resolución de problemas mediante sistemas de ecuaciones. plantear un problema, cuya expresión algebraica coincida para cada uno de los siguientes sistemas de ecuaciones, no debe resolver el sistema de ecuaciones. a. X +y = 13 b. 3x - 30y = 15 c. 8x+3y=37 d. X-5y=4 x-y=1 2x + 10y = 40 8x-3y=50 3x+5y=32
We want to find word problems that gives rise to the following systems of algebraic equations.
a)
x+y=13
x-y=1.
Answer: The sum of the ages of two students is 13. The difference between their ages is 1. Find the ages of the two students.
b)
3x-30y=15
2x+10y=40
Answer:
The difference between 3 times Dan's age and 30 times Mark's age is 15. If the sum of 2 times Dan's age and 10 times Mark's age is 40. Find the ages of Dan and Mark.
c)
8x+3y=37
8x-3y=50
Answer:
The sum of 8 times an eagle's distance above sea level in feet and a herring's distance below sea level is 37 feet. The difference between 8 times an eagle's distance in feet above sea level and 3 times the herring's distance below sea level is 50. Find the distance of the eagle and the herring relative to the surface of the sea.
d) x-5y=4
3x+5y=32
The difference between a pig's age and 5 times the age of a piglet is 4 years. If the sum of 3 times pigs and 5 times the piglet's age is 32 years, find the ages of the pig and its piglet.
Lenny asked 125 randomly chosen seventh grade students at his school to name their favorite beverage there are 1500seventh grade students in the school predict the number of seventh grade students in his school
Complete Question:
Lenny asked 125 randomly chosen seventh grade students at his school to name their favorite beverage there are 1500 seventh grade students in the school predict the number of seventh grade students in his schoolwhose favorite food is pizza. 58 of the 125 students likes pizza.
Answer:
n = 696
Step-by-step explanation:
Sample size = 125
number of students out of the 125 that like Pizza = 58
Probability that a student will like pizza, P = 58/125
P = 0.464
Since there are 1500 seventh grade students in the school, based on the probability that a student likes pizza = 0.464, number of seventh grade students in the school that like pizza will be:
n = 100 * P
n = 1500 * 0.464
n = 696
On the school playground, the slide is 7 feet due west of the tire swing and 7 feet due south of the monkey bars. What is the distance between the tire swing and the monkey bars?
Answer:
Step-by-step explanation:
According to the question, a slide is 7 feet due west of a tire swing and 7 feet due right of the monkey bars and we were asked the calculated the distance between them.
If you look at it carefully, since the slide is due west of the tire swing and 7 feet due south of the monkey bars, you'll notice a shaped form, the shape formed is an inverted right-angled triangle.
Right-angled Triangles can be solved using pythagoras' theorem which says [tex]a^{2} + b^{2} = c^{2}[/tex].
a= 7, b=7, c=??
[tex]c^{2} = 7^{2} + 7^{2}[/tex]
[tex]c =\sqrt{98}[/tex]
c = 9.9 feet
Final answer:
The distance between the tire swing and the monkey bars is found using the Pythagorean theorem, which gives approximately 9.90 feet.
Explanation:
To find the distance between the tire swing and the monkey bars, we can model the situation using a right triangle. The slide being 7 feet due west of the tire swing and 7 feet due south of the monkey bars forms a right-angled triangle with the slide as the vertex where the right angle is, the tire swing and monkey bars forming the other two vertices.
Using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the legs (a and b), we can find the distance (hypotenuse) between the tire swing and the monkey bars.
In other words, we have:
a² + b² = c²
Given:
a = 7 feet (distance from slide to tire swing)
b = 7 feet (distance from slide to monkey bars)
We can calculate:
c² = 72 + 72 = 49 + 49 = 98
The distance (c) is the square root of 98, which is approximately 9.90 feet.
Therefore, the distance between the tire swing and the monkey bars is approximately 9.90 feet.
Please Help, 35 Points And Brainliest...
Stefan, a 36-year-old male, bought a $150,000, 10-year life insurance policy from Fly-by-Night Life Insurance through his employer. Stefan paid weekly.
What is Stefan’s annual premium?
Explain how you found your answer and show all work
A 36 year old male will pay $4.55 per $1,000 for a 10 year policy,
He bought a $150,000 policy:
150,000 / 1000 = 150
Multiply the rate per 1000 by 150:
4.55 x 150 = 682.50
His annual premium is $682.50
Answer:
His annual premium is $682.50
Step-by-step explanation:
In case-control studies, the odds ratio is used as an estimate of the relative risk. In order for this approximation to be reasonable, some conditions must be met. Which of the following conditions is not necessary in order to use the odds ratio to estimate the relative risk?a. Cases are representative of all cases.b. With respect to exposure, controls are representative of the population to which you want to generalize your results.c. The exposure in question is rare in the population.d. The event (disease) under study is rare in the population.
Answer:
The conditions that are not necessary to use the odd´s ratio to estimate the relative risk are a. Cases are representative of all cases and c. The exposure in question is rare in the population.
Step-by-step explanation:
Case-control studies are an example of observational studies. In this kind of studies, people are selected because of the presence or absence of a sisease, searching for the previous presence of the suspected cause (exposure). The idea is to select a group of people that has a particular condition or disease (the group of cases) and compare it with a group of persons that does not have this disease (the control group). Reasearchers analyse both groups and compare them in order to find some information related with the presence of previous or present exposure to factors that are considered as the cause of the disease. The variable used to estimate the relationship between the exposure and the development of the disease is called odd ratio and it is an aproximation of another variable "relative risk".
The odd ratio is aproximately equal to the relative risk (it means it is a good estimator) when the disease is not frequent on the population (in other words, the event under study is rare in the population) and when controls are representative of the population that give rise to the cases.
The point a. Cases are representative of all cases is a dessirable condition but could it not be present.
Finally c. The exposure in question is rare in the population is not necessary, the only factor that must be rare in the population is the disease.
Summarizing, points b and d are strictly necessary, c. is a dessirable condition and a. is not necessary.
what is the fraction 3/4 over 100 as a decimal and percent?
Answer: 75% or .75
Step-by-step explanation:
Answer:
0.75%
Step-by-step explanation:
Start off by laying it out
3
------------
4
--------------------
100
Now that we have a visual representation of it:
Multiply 3/4 by its opposite reciprocal.
This means multiply 3/4 by 1/100 which
when you flip and multiply like that, you are technically dividing
So now lets look at it like this
3 1
---- x ------------
4 100
Here we'll multiply straight across which goes as follows
In the numerator our answer will be 3*1
In the denominator is 4*100
The final fraction.
3/400
Now lets turn that into a decimal
0.0075
Then multiply it by 100 and add a % on the end and done
0.75%
Steve Herr is an architect in Minneapolis, Minnesota. His latest project is designing a park. On the blueprint, the park is determined by a plane which contains the points at (1,0,3), (2,5,0), and (3,1,4) One of the features of the park is a monument that must be perpendicular to the ground. Find a nonzero vector, representing the monument, perpendicular to the plane defined by the given points.
Answer:
8i - 7j - 9k
Step-by-step explanation:
We have three points:
A (1,0,3)
B (2,5,0)
C (3,1,4)
First of all, we write the following two vectors:
[tex]AB=(2-1,5-0,0-3)=(1,5,-3)[/tex]
[tex]BC=(3-2,1-5,4-0)=(1,-4,4)[/tex]
These two vectors connect A with B and B with C, and since these 3 points lie on the plane, the two vectors also lie on the plane.
Therefore, the cross product of these two vectors must be a vector perpendicular to the plane.
The cross product of the two vectors is:
[tex]AB \times BC = i(5\cdot 4 -(-3\cdot-4))+j(-3\cdot 1 -1\cdot 4)+k(1\cdot -4-5\cdot 1)=\\=8i-7j-9k[/tex]
And the equation of the plane can be found as:
[tex]8(x-a_x)-7(y-a_y)-9(z-a_z)=0\\8(x-1)-7(y-0)-9(z-3)=0\\8x-7y-9z=-19[/tex]
Answer:
A on Edge 2020
Step-by-step explanation:
3a + 1 = -a -3 ??????????
Answer: a=-1
Step-by-step explanation: -3+1=-2 and 1-3also equals -2
2(x + 6) = 18
what is the answer if yall cant tell im not good at math
Answer:
x = 3
Step-by-step explanation:
Answer:
x=3
Step-by-step explanation:
x + 6 = 18/2
x+6=9
x=9-6
x=3
There are 18 boys and 24 girls on a swimming team.The instructor wants to divide them into groups of equal size with the greatest nunber of kids possible in each group. How many kids should be in each group?
Answer:
21 kids
Step-by-step explanation:
Let's get started!
Ok, let's relay some information!
Boys: 18
Girls: 24
18 + 24
= 30 + 12
= 42
42 kids total
If we divide by two we get an even number also since it is divisible by two that means we can have the greatest amount of kids there.
42 ÷ 2
= 21
21 kids
Will records the wins and losses for his high school basketball team each year. He notices that the ratio of wins to losses has been consistent each year.
Answer:
x = 3
The number of games lost if 27 games are won = 3
Step-by-step explanation:
Complete question
Will records the wins and losses for his high school basketball team each year. He notices that the ratio of wins to losses has been consistent each year.
W | L
18 | 2
45 | 5
36 | 4
27 | x
Using the information in the table, how many losses should he predict for next year if the number of games won is 27?
1 3 6 9
The ratio of wins to losses each year has been consistent, in other words, the same. Hence, we can use this ratio to find x.
Ratio of wins to losses
18 : 2 = 9 : 1
45 : 5 = 9 : 1
36 : 4 = 9 : 1
Hence, 27 : x = 9 : 1
(27/x) = (9/1)
27 = 9x
x = (27/9) = 3
x = 3
Hope this Helps!!!
Answer: what there trying to say is x=3 and that's ur answer :)
Step-by-step explanation:
At a sale this week, a table is being sold for $255. This is a 32% discount from the original price. What's the original price.
Answer:
12$
Step-by-step explanation:
Answer:
$375
Step-by-step explanation:
Sale price = original price - (markdown percentage)(original price), or
Sale price = (1 - markdown percentage)(original price
That 32% discount is equivalent to multiplying the original price by 0.32.
Here, $255 = (1 - 0.32)(original price), or
$255 = 0.68(original price)
Then (original price) = $255/0.68 = $375