Answer- 3,315.53007332
Step-by-step explanation:
In this example the compounded is weekly, so the interest rate has to be converted to a weekly interest rate of tex2html_wrap_inline224 .
At the end of the first week, you will have the $1,000 you had at the beginning of the week plus the interest on the $1,000 or tex2html_wrap_inline226 . At the end of the week you will have
displaymath228
Evaluate. Write your answer as a whole number or as a simplified fraction.
the difference of the squares of two positive integers is 325 and their difference is 3. what are the numbers
Answer:
figure it out best of luck tho.
-6, -10, - 15, 16, 9, 12 least to greastest
"Every angle subtended at the circumference of a semicircle by the diameter is a roght angle." Which other circle theorem proves this?
The angle subtended by an arc is twice the angle it subtends.
The angle is 90 degrees.
What is diameter of circle?
diameter is circle is twice the radius of circle.
The theorem to solve the given statement is :
The angle subtended by an arc is twice the angle it subtends.
let suppose, O be the center of circle,
The diameter AB forms on the circle and point P on the periphery of circle ,
so we have:
To prove : ∠APB=90°
We know that angle subtended by an arc at center is double the angle subtended at any point or circumference.
that is:
Angle subtended by arc AB at O = Double the angle subtended at P
⇒∠AOB=2∠APB
∵AOB is a straight line.
∠AOB=180°
2∠APB=180°
∠APB=90°
Angle formed by arc AB or semi circle is 90°
Learn more about circle here:
https://brainly.com/question/24137543
#SPJ1
The graph of an exponential function has a y-intercept of 9 and contains the point (2,144). Construct the function that describes the graph.
The graph of an exponential function has a y-intercept of 9 and contains the point (2,144). the function that describes the graph.
y=9(4)^x
This is further explained below.
What is the function that describes the graph.?Generally, the Standard form of an exponential function
y=a b^x
Where
y= is the y component of the graph
x= is the x component of the graph
a and b are equation vaiables
Given the y-intercept (0,9) and the point (2,144) Applying both.
a=9,
144=9 b^2
Solve further by making b the subject of formular
b^2=144/9
b^2=16
b[tex]= \sqrt{ 16}[/tex]
Therefore b=4
So, y=9(4)^x
Read more about function
https://brainly.com/question/12431044
#SPJ1
What equation could be used to solve the problem below?
If three times a number is increased by 24, the result is 4 less than seven times the number.
I need help so I get good grades
Answer: 9
Step-by-step explanation:
I am assuming that the grid units equal 1 inch.
We have to solve for x. For the width,
60 = 20/3 x
To divide by a fraction is to multiply by its reciprocal.
x = 60 * 3/20 = 180/20 = 9
PLEASE HELP IMMEDIATELY
What is the equation of the line that passes through Point (-2, 1) and has a Slope of 1.
Answer:
[tex]y=x+3[/tex]
Step-by-step explanation:
Using Point-Slope form: Y-y1=m(X-x1)
Slope(m) = 1, Point(x1,y1) = (-2,1)
y-1=1(x+2)
y=x+2+1
y=x+3
:]
(ps. Brainliest would be greatly appreciated lol)
Step-by-step explanation:
1.given gradient (slope) make formula of straight line
[tex]y = 1x + c[/tex]
2.substitute in y and x values in order to work out c
[tex]1 = 1( - 2) + c[/tex]
[tex]c = 3[/tex]
3. equation of line is
[tex]y = 1x + 3[/tex]
I REALLY NEED HELP PLEASE THIS WORK IS FOR MONDAY.can y’all please help me:(
What is the diameter of a circle with a circumference of 62.83185? a. 5 units c. 20 units b. 10 units d. 25 units
Answer:
i believe it is 20
Step-by-step explanation:
to find the diameter you just deveide the circumference by pi thats it and i got 20.0101433
so i believe its 20
hope this helped :)
If f(x) = (x^2 - 4)/(x + 2), find f(- 1)
Please work it out or explain how you got answer!!! I’ll mark brainliest!
Answer:
-3
Step-by-step explanation:
f(x) = (x^2 - 4)/(x + 2)
Substituting x = -1,
f(-1) = (1 - 4)/(-1 + 2)
f(-1) = -3
1. Jasmine is 5 years younger than twice her sister's age. If Jasmine is 39 years old, how old is her sister?
Let J be Jasmine age and S the sister's age. Then, we have
[tex]2S-5=J[/tex]this equality means Jasmine is 5 years younger than twice her sister's age. Now, we also know that J=39 years then by substituying this value into the last equality, we have
[tex]2S-5=39[/tex]and now, we can solve this equation for S. First, we must move -5 to the right hand side as 5. It reads
[tex]\begin{gathered} 2S=39+5 \\ 2S=44 \end{gathered}[/tex]and finally, we obtain
[tex]\begin{gathered} S=\frac{44}{2} \\ S=22 \end{gathered}[/tex]therefore, Jasmine's sister has 22 years old.
Aaden has a bag that contains strawberry chews, apple chews, and watermelon
chews. He performs an experiment. Aaden randomly removes a chew from the bag,
records the result, and returns the chew to the bag. Aaden performs the experiment
31 times. The results are shown below:
A strawberry chew was selected 4 times.
A apple chew was selected 7 times.
A watermelon chew was selected 20 times.
Based on these results, express the probability that the next chew Aaden removes
from the bag will be a flavor other than apple as a fraction in simplest form.
The probability that the next chew Aaden removes from the bag will be a flavor other than apple is 24/31.
What is Probability?Probability is a branch of mathematics concerned with determining the likelihood of an event occurring. Probability assesses the likelihood of an event occurring and is equal to the number of favorable events divided by the total number of events.
Given:
Number of times Aaden performs the experiment = 31 times
A strawberry chew was selected 4 times.
An apple chew was selected 7 times.
A watermelon chew was selected 20 times.
So,
Probability of selecting a strawberry chew = 4/31
Probability of selecting an apple chew = 7/31
Probability of selecting a watermelon chew = 20/31
So, the probability that the next chew Aaden removes from the bag will be a flavor other than apple i.e. it can be strawberry or watermelon chew.
Probability of selecting a strawberry chew + Probability of selecting a watermelon chew
= 4/31 + 20/31 = 24/31
To learn more about probability visit:
https://brainly.com/question/23874521
#SPJ13
Answer:
24/31
Step-by-step explanation:
Based on these results, express the probability that the next chew Aaden removes from the bag will be a flavor other than apple as a fraction in simplest form.
The experiment occurred 31 times, a flavor other than apple was selected 4+20=24 times. Probability the next chew will be a flavor other than apple:
24/31
=
The probability as a fraction in simplest form is
24/31
If f(x) = x³ + 15x² +68x + 84, which of the following is not a factor of f(x)?
○ (x+6)
○ (x + 2)
○ (x + 7)
(x+8)
Submit Answer
Calculate the height of a pyramid if the volume is 168 cm³ and the area of the base in 36 cm².
V
=
Bh, V = volume, B = area of the base, h = height
The volume of a pyramid is v = 1/3base area × height
height = 3volume/ base area
height = 3×168cm^3/ 36cm^2
height = 14cm
What is a pyramid?A pyramid is a three-dimensional shape. It has a flat polygon base. All the other faces are triangles which are called lateral faces. The number of lateral faces equals the number of sides on its base.
The volume of a pyramid is given by
v= 1/3base area × height
= 3×168 = 36h
therefore the height =3x168/36
= 14cm
learn more about pyramids from
https://brainly.com/question/218706
#SPJ1
5÷6?what is it long division picture please
The solution is ; 5/6 = 0.833... (recurring decimal)
Dominique paid $15.50 to join an online music service. She purchases 10 songs each month at a cost of $0.99 per song. Dominique thinks that after 8 months, she will have spent around $75.00 total. Is Dominique's estimate reasonable?
If she thinks that after 8 months, she will have spent around $75.00 total. Dominique's estimate is not reasonable?
Determining whether the estimated amount is reasonableWe have to make use of the given data to find whether amount of $75 which she estimated that she will spent after 8 months is reasonable
Total cost:
Total cost =$15.50 + 10 × $0.99 × 8
Total cost = $15.50 + 9.9 × 8
Total cost = $15.50 +$79.2
Total cost = $94.7
Hence,
$94.70 ≥ $75.00
Based on the above calculation the amount she estimated is not a reasonable amount because the total cost is greater that the estimated amount.
Therefore we can conclude that the estimate is unreasonable.
Learn more about total cost here: https://brainly.com/question/5168855
#SPJ1
The estimate of the Dominique's is not reasonable.
Given that,
Dominique paid $15.50 to join an online music service. She purchases 10 songs each month at a cost of $0.99 per song. Dominique thinks that after 8 months, she will have spent around $75.00 total. Is Dominique's estimate reasonably is to be justified.
Here,
According to the question,
The total cost of the song for 8 months = 8 (0.99 x 10)
= $ 79.2
Total cost = 15.50 + 79.2 = $94.7
Since the total cost exceeds Dominique's estimate so her estimate is not reasonable.
Thus, the estimate of the Dominique's is not reasonable.
Learn more about cost prices here:
https://brainly.com/question/924601
#SPJ1
A new minivan costs $24,897. About how much would 4 minivans cost?
Answer: about $100,000.
Step-by-step explanation: i gave an estimate because your answer calls for an estimate, not an exact answer. $100,000 is correct because 24,897*4 = 99,588.
PLEASE HELP DUE IN A FEW MINUTES! THANK YOU!!
Step-by-step explanation:
5 - (-7) = 5 + 7
because 2 negatives added together make positive.
Answer:
+ 7
Step-by-step explanation:
the rule of signs for addition/ subtraction
a + (- b ) = a - b
a + (+ b) = a + b
a - (+ b) = a - b
a - (- b) = a + b
Then
5 - (- 7 ) = 5 + 7
INEED HELP NOW PLS HELP IVE GIVEN EXSAMPlES AND I NEED SNSWeRS With work to it
1) 20 percent of 60 is 12
2) 25 percent of 24 is 6
3) 4 percent of 600 is 24
4) 88 is 110 percent of 80
5) 18 is 20 percent of 90
What is percentage ?To calculate the proportion of value to the original value, the percentage concept is employed. For calculating a company's profit or loss percentage , percentages are frequently employed in business. Additionally, it's a common way for universities and schools to display the grades that pupils have earned. An estimation of the pupils' grades can be made using a percentage calculation. A ratio of any value to the total value multiplied by 100 is how percentages are typically defined. The percentage is shown as % in symbols.
1) [tex]\frac{20}{100}[/tex]×x=12
x=[tex]\frac{1200}{20}[/tex]
x = 60
2) x ×[tex]\frac{24}{100}[/tex] = 6
x=25%
3)[tex]\frac{4}{100}[/tex]×600 = 24
4) [tex]\frac{110}{100}[/tex]×x = 88
x =[tex]\frac{8800}{110}[/tex]
x= 80
5) [tex]\frac{x}{100}[/tex]×90 = 18
x = 20
To learn more about percentage visit :
brainly.com/question/16797504
#SPJ13
The diagram shows an intersection of roads. Identify all supplementary, complementary, and vertical angles.
Fast please!!!
Answer:
Supplementary: 2,3
Complementary: 1,4,5
Vertical Angles (VA): 1 is equivalent to 4
Step-by-step explanation:
Supplementary angles are angles that equal up to 180 degrees.
Complementary angles are angles that are 90 degrees.
VA (Vertical Angles) are angles that are basically across from other (take a look at 1 and 4) AND NO, 2,3 or 5 would be considered as Vertical angles as they do not Aline.
3x+[tex]\frac{1}{5}[/tex]y=7
Mr majors ordered 6 boxes of candy and a bucket of pop corn at the concession stand. if the pop corn was $3.20 and the total was $18.20, what was the price of one candy box
The price of one candy box was $2.50 if the popcorn were of $3.20 and the total amount was $18.20.
The price of one candy box can be determined using an algebraic expression. An algebraic expression can be defined as one that consists of both numbers and letters.
As he ordered 6 boxes of candy and a bucket of popcorn and the popcorn was of $3.20 and the total was $18.20, an algebraic expression can be given as;
6(x) + 3.20 = 18.20
Here x is the price of one candy box
Solving for x;
6x = 18.20 - 3.20
6x = 15
x = 15 / 6
x = 2.50
Hence the price of one candy box is calculated to be $2.50.
To learn more about algebraic expressions, click here:
https://brainly.com/question/2164351
#SPJ4
solve for x
3/4=x-4/6
simply as much as possible
The value of x is 17/12.
Given equation:-
3/4 = x - 4/6
We have to find the value of x from the given equation.
Rearranging the terms to find the solution, we can write,
x = 3/4 + 4/6
Least Common Multiple (LCM) of 4 and 6 = 12
Hence, we can write,
x = (3*3) + (2*4)/12
x = (9 + 8)/12
x = 17/12
Least Common Multiple (LCM)
In arithmetic, Least Common Multiple (LCM) of two or more numbers is the least positive number that can be divided by both the numbers, without leaving the remainder. It is also known as Lowest Common Multiple (LCM), Least Common Denominator, and Smallest Common Multiple.
To learn more about Least Common Multiple, here:-
https://brainly.com/question/28932085
#SPJ1
seda 100 soruluk bir sınavda 36 yanlış yapmıştır üç yanlış bir doğruyu götürerek net sayısı hesaplandığına göre seda en çok kaç net yamıştır
Answer:
Step-by-step explanation:
36÷3=1236+12=48100-48=52EN İYİ SEÇERSEN SEVİNİRİM BAŞARILAR DİLERİM
A farmer needs to enclose three sides of a garden with a fence (the fourth side is a river). The farmer has
30 feet of fence and wants the garden to have an area of 108 sq-feet. What should the dimensions of the
garden be? (For the purpose of this problem, the width will be the smaller dimension (needing two sides);
the length with be the longer dimežision (needing one side). Additionally, the length should be as long as
possible.)
length×width = 108
length + 2×width = 30
length = 30 - 2×width
using that in the first equation
(30 - 2×width)×width = 108
-2×width² + 30×width - 108 = 0
the general solution to such a quadratic equation like
ax² + bx + c = 0
is
x = (-b ± sqrt(b² - 4ac))/(2a)
so,
width = (-30 ± sqrt(30² - 4×-2×-108))/(2×-2) =
= (-30 ± sqrt(900 - 864))/-4 =
= (-30 ± sqrt(36))/-4 = (-30 ± 6)/-4
width1 = (-30 + 6)/-4 = -24/-4 = 6 ft
width2 = (-30 - 6)/-4 = -36/-4 = 9 ft
for width = 6 ft
length = 30 - 2×width = 30 - 12 = 18 ft.
for width = 9 ft
length = 30 - 2×width = 30 - 18 = 12 ft
given the request that the length sound be as long as possible,
width = 6 ft
length = 18 ft
is our solution.
Wendy is paid $9 per hour and plans to work between 20 and 25 hours per week. Identify the independent and dependent quantity in the situation. Find reasonable domain and range values.
The domain of the given question is; 20 to 25.
If she is paid $9 per hour, the range is; $180 to $225.
How to find the domain and range?The independent quantity is defined as the quantity that causes a change in the dependent quantity.
Now, In this question, the defined quantities are hours worked and weekly pay. Applying the concept of independent and dependent quality, the number of hours she works causes her weekly pay to change. This means that hours worked is the independent quantity and weekly pay is the dependent quantity.
We are told that she plans to work between 20 and 25 hours. This means that;
The domain is 20 to 25.
Now, as she is paid $9 per hour, this makes the range;
9(20) = $180 to 9(25) = $225.
Read more about Domain and Range at; https://brainly.com/question/2264373
#SPJ1
Point (2,11.9), (4,13) rise over run so what's the answer ?
Answer:
0.55
Step-by-step explanation:
( x1, y1 ) = ( 2, 11.9 )
Here,
x1 = 2
y1 = 11.9
( x2. y2 ) = ( 4, 13 )
Here,
x2 = 4
y2 = 13
Formula : -
Rise over run = ( y2 - y1 )/( x2 - x1 )
Rise over run = ( 13 - 11.9 )/( 4 - 2 )
= 1.1/2
Rise over run = 0.55
at a certain college there are twice as many english majors as history majors and three times as many english majors as mathematics majors. what is the ratio of the number of history majors to the number of mathematics majors?
The ratio of the number of history majors to the number of mathematics majors is 3 to 2.
When two objects are related using numbers or amounts, the relationship is known as a ratio.
Let E be the number of English majors, H be the number of history majors, and M is the number of math majors.
Now,
There are twice as many English majors as history majors.
E = 2 × H
There are three times as many English majors as mathematics majors.
E = 3 × M
Now, let's assume E = 6.
Then,
6 = 2 × H
H = 3 and,
6 = 3 × M
M = 2
Therefore, the ratio of the number of history majors to the number of mathematics majors will be:
H: M = 3 : 2
Learn more about ratio here:
brainly.com/question/12024093
#SPJ4
A supermarket sells 500g pots of yoghourt. There is a special offer on yoghourt:
Buy 2 pots and get a 3rd one free!
A week later, the price of a single pot of yoghourt is still the same, but the offer changes to:
Buy 1 pot and get a second one half price!
Is the second offer better than the first? Show working to justify your answer.
The first offer is better from the perspective of a customer but the second one is better from the perspective of a seller.
Here we have different 2 cases, and to find the answer we have to follow a few steps.
First of all, we should simplify these two cases and will try to give them a proper equation format.
Let's assume the price of each yogurt is $x.
Therefore the total price of 2 pots is (2× x) = $2x.
But the condition is if we buy 2 pots, get the 3rd one for free. So, we can purchase a total of 3 pots at the same cost.
∵ If 3 pots cost $2x, then the average cost for each pot is 2x/3 =$0.67x
( average value of each unit = Total value / total unit )
In the second case, if we buy 1 pot we can get the second one at half price.
Therefore, the total price of two pots is, ( x + 0.5x ) = $1.50x
∵ If 2 pots cost $1.50x, then the average cost for each pot is 1.50x/2 = $0.75x
( average value of each unit = Total value / total unit ).
The price of yogurt per pot in the first case < The price of yogurt per pot in the second case.
As $0.67 < $0.75.
To know more about average value visit,
https://brainly.com/question/28123159?referrer=searchResults
#SPJ9