Answer:
$234
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 3%/100 = 0.03 per year,
then, solving our equation
I = 2600 × 0.03 × 3 = 234
I = $ 234.00
The simple interest accumulated
on a principal of $ 2,600.00
at a rate of 3% per year
for 3 years is $ 234.00.
Answer:
$234
Step-by-step explanation:
An online shopping club has 10,000 members when it charges $7 per month for membership. For each $1 monthly
increase in membership fee, the club loses approximately 400 of its existing members. Write and simplify a function
R to represent the monthly revenue received by the club when x represents the price increase.
Answer:
The function that can be used in the online shopping club about its monthly revenue is:
[tex]R = -400x^{2} +7200x+70000[/tex]
Step-by-step explanation:
First, we're gonna take into account the different values we have in the exercise:
10,000 members$7 per month for membershipLoses of 400 members by each $1 monthly increaseHow the variable [tex]x[/tex] represents the price increase, we can do the formula below:
[tex](10000 - 400x) * (7+x)[/tex]In this formula, we represent in the first part that by each 1 in the variable [tex]x[/tex], the total of members will be reduced in 400, in the second part, we mention that at the same time, the membership fee will be increased in the same value of [tex]x[/tex]. Now we must simplify this function:
[tex](10000 - 400x) * (7+x)[/tex]We operate the values:
[tex]70000+10000x-2800x-400x^{2}[/tex]Solve we can:
[tex]70000+7200x-400x^{2}[/tex]And organize:
[tex]-400x^{2} +7200x+70000[/tex]At the end, how [tex]R[/tex] represents the monthly revenue received by the club, we use that variable for our formula:
[tex]R=-400x^{2} +7200x+70000[/tex]sarah spent a total of 10 on oranges and apples at the supet marke
t. if she spent 3 dollars less for oranges than she did on apples how much did sarah spend on oranges
Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression. 88 and -92
Answer:
The distance between them is 180 units
Step-by-step explanation:
Given
[tex]a = 88[/tex]
[tex]b = -92[/tex]
Required
Using absolute value, calculate the distance between them
The distance d is calculated as:
[tex]d = |b - a|[/tex]
Substitute values for a and b
[tex]d = |-92 - 88|[/tex]
[tex]d = |-180|[/tex]
[tex]d = 180[/tex]
It can also be calculated using:
[tex]d = |a - b|[/tex]
Substitute values for a and b
[tex]d = |88 - (-92)|[/tex]
Open bracket
[tex]d = |88 +92|[/tex]
[tex]d = |180|[/tex]
[tex]d = 180[/tex]
A line with a positive slope will go up and to the right on the graph. True false
Answer:
True
Step-by-step explanation:
Let's say the slope of an equation is 3/2. You move the point by moving it up by three and moving it to the right by two or moving it down by 3 and moving it to the left by two.
If the equation was - 3/2. You would move the point by moving it up by three and moving it to the left by two or moving it down by three and moving it the right by two.
7) You buy a new car for $25,000 and it begins
to depreciate value as soon as you drive it off
the lot. The car depreciates at an annual rate
of 7%. Write an exponential equation that
shows what is happening to the value of the
car over time.
Answer:
y=25,000(0.07)^t
Step-by-step explanation: t= year/month. not specified, but year is most appropriate for these kind of equations.
Scottie is testing to see if people who go to a lot of movies do better than average on the Verbal SAT (which has a mean of 500 and a standard deviation of 100 and is normally distributed). She has a sample of six people. What kind of hypothesis testing do we use
Answer:
The kind of hypothesis testing we can use is z-test for means
Step-by-step explanation:
Given that;
sample mean x" = 500
standard deviation σ = 100
sample size n = 6
What kind of hypothesis testing do we use?
There are two cases where z-test can be use;
first, when we know the population standard deviation or variance
and secondly, when the population size is more than 30.
So from the question, the population standard deviation was given, which is 100.
Since we know the S.D, it meets the first condition.
Therefore, The kind of hypothesis testing we can use is z-test for means
A club’s first meeting was attended by 72 people. Nine times as many people went to the first meeting than the second meeting. How many people attended the second meeting?
Answer:
8 people attended the second meeting.
Step-by-step explanation:
Given that:
Number of people who attended the first meeting = 72
Let,
x be the number of people who attended second meeting.
9 times people of second meeting = Number of people who attended first meeting
9x = 72
Dividing both sides by 9
[tex]\frac{9x}{9}=\frac{72}{9}\\x=8[/tex]
Hence,
8 people attended the second meeting.
Ssssssssssssssssssssssssssssssssssssssssssssssssss
help please i’ll try to give brainliest:)
9514 1404 393
Answer:
108
Step-by-step explanation:
The circumference of a circle is given by ...
C = 2πr
The circle shown has a radius of 9 in, so the circumference is ...
C = 2π(9 in) = 18π in
__
When the circle is dilated by a factor of 6, the circumference is multiplied by 6. It becomes ...
dilated C = 6(18π in) = 108π in
The multiplier of π inches is n = 108.
find
the value of :
sin 0° + cos 0° + tan 45°
Answer:
this is easy
Step-by-step explanation:
sin 0 is 0
cos 0 is 1
tan 45 is 1
so ...
0+1+1 is 2
The formula F = 1.8C + 32 is used to convert temperatures from degrees Celsius, °C, to degrees Fahrenheit, °F. Find the temperature in degrees Fahrenheit that is equivalent to 20°C
Answer:
68F
Step-by-step explanation:
Given data
The formula F = 1.8C + 32
we want to find F for C= 20°C
Substitute into the formula we have'
F = 1.8(20) + 32
F=36+32
F=68
Hence the value of 20°C in Fahrenheit is 68F
apriquide Rd
.) Travis is planning to ride at a constant speed during an upcoming bike trip. He wants to know
how many miles he will ride after different numbers of hours.
c) Plot two points that show how far Travis
will ride after 3 hours and after 4 hours.
Answer:
3 times 30 miles and 4 times 40 miles
Step-by-step explanation:
Travis will ride at a distance of 30 miles after 3 hours and at a distance of 40 miles after 4 hours.
What is Speed?Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.
Speed is a scalar quantity as it only has magnitude and no direction.
Given that,
Travis is planning to ride at a constant speed during an upcoming bike trip.
This implies that the slope of the graph will be a constant.
So the graph will be a straight line.
We have two points on the graph (1, 10) and (2, 20).
The starting point will be (0, 0).
Slope = (20 - 10) / (2 - 1) = 10
So the equation of the line is y = 10x.
When x = 3 hours, y = 30 miles
When x = 4 hours, y = 40 miles
Hence the points has to be marked at (3, 30) and (4, 40).
Learn more about Speed and Slope here :
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The complete question with the graph is given below.
3. Mandy obtains a $155,000 20/6 balloon mortgage with a rate of 4.25%. What will her monthly payments be? (2 points)
O $959.81
O $1044.46
O $1110.47
$1225.74
Answer:
$279.98
Step-by-step explanation:
A 20/6 balloon payment means loan amortization is for 20 years and constant payments is for 6 years after which balloon payment is due.
The formula to calculate her constant payments based on a 15 year amortization plan is
A= P × r × r(1+r)^n/(1+r)^n-1
Where A = constant monthly payments for the 6 year period
r= interest rate
P= mortgage value loan
n= number of months =20×12=240 payments
Substitute values in the formula:
A= $155000× 0.0425×0.0425(1+0.0425)^240/(1+0.0425)^240-1
A= $279.98
To calculate what she would pay before balloon payment is due, we simply multiply her monthly payments $279.98 by number of payments 240
Which of the following can a seismograph not show scientists?
Solve
7W + 3 = 5W + 9
Answer:
W = 3
Step-by-step explanation:
7W + 3 = 5W + 9.
Get all the varibles onto one side, and get all the integers onto the other side, we get:
7W - 5W = 9 - 3.
Simplifing, we get:
2W = 6
W = 3.
WILL MARK BRAINLIEST! THANK YOUUUU
An equilateral triangle has a side length of 40.
Another side of the same triangle measures 3x + y.
The third side of the same triangle measures 4x - 2y.
What are the values of x and y that would keep the triangle equilateral?
Answer:
x=12, y=4
Step-by-step explanation:
All the sides are the same length.
3x+y = 40
4x-2y = 40
Eliminate y terms: divide second equation by 2 and add to first equation
2x-y = 20
3x+y = 40
---------------
5x = 60
x = 12
y = 40-3x = 4
Answer:
We know that all sides of the equilateral triangle is equal.
Given :---
An equilateral triangle has a side length of 40.
Another side of the same triangle measures
3x + y.
The third side of the same triangle measures
4x - 2y.
According to the above problem, the equation are
3x+y=40........(i) and 4x-2y=40.........(ii)
Divide the equation (ii) by 2, we get
2x-y=20..........(iii)
Now solving for x and y we get,
3x+y=40.......(i)
2x-y=20........(iii)
5x =60
x=60/5
x=12
Putting the value of x in equation in equation (iii) we get
24-y=20
y=24-20
y=4
The values of x and y that would keep the triangle equilateral are 12 and 4 respectively.
Hence, the value of x is 12 and y is 4.PLEASE ASAP 829283+749294(284+64304)-639562=
Answer:
use the calculator by doing this types of question
Answer:
48395590593
Step-by-step explanation:
calculator
Graphs that represent situations that may not have numerical values are Called?
Find the perimeter of a triangle with side lengths: (y + 5) ft, (3y + 5) ft, and (4y - 3) ft.
Answer:
8y + 7
Step-by-step explanation:
add them: y + 5 + 3y + 5 + 4y - 3 = 8y + 7
Need this turned in by tonight. Solving for x. My brain is fried, I have been doing math for the last 4 hour.Help!!!!!
Answer:
18. x = 24.519. x = 421. x = 10Step-by-step explanation:
Corresponding sides have same ratio
Q18
7/6 = x / (27- 6)6x = 7*21x = 147/6x = 24.5Q19
(x + 5)/15 = (5x + 1)/35(x + 5)/3 = (5x + 1)/77(x + 5) = 3(5x + 1)7x + 35 = 15x + 315x - 7x = 35 - 38x = 32x = 4Q21
(x + 6)/24 = (2x - 2)/27(x + 6)/8 = (2x - 2)/98(2x - 2) = 9(x + 6)16x - 16 = 9x + 5416x - 9x = 54 + 167x = 70x = 100p
2. Milk is on sale for 45 % off when it is normally $3.75 per gallon. How much will a gallon of milk cost?
O $1.69
$2.06
$2.05
$2.10
Answer:
A-$1.69
Step-by-step explanation:
45% of 3.75 is 1.6875
1.6875 needs to be rounded to the nearest hundredth
So it would make 1.68
Answer:
2.05
Step-by-step explanation:
x/3.75=45/100 cross multiply. x= about $1.7 but that's not the answer. to find the amount a gallon of milk costs, subtract 3.75 by 1.7, which gives you 2.05.
The demand d for a company’s product at cost x is predicted by the function
d(x) = 1200 – 8. The price p in dollars that the company can charge for the product
is given by p(x) = 2 + 1. Use the formula Revenue = price × demand to find the
revenue function for the product, in terms of price x
Answer:
[tex]R(x) = - 16x^2+2392x + 1200[/tex]
Step-by-step explanation:
Given
[tex]d(x) = 1200 - 8x[/tex]
[tex]p(x) = 2x + 1[/tex]
Required
Find R(x)
We have that:
[tex]R(x) = d(x).p(x)[/tex]
This gives:
[tex]R(x) = (1200 - 8x) * (2x + 1)[/tex]
Expand
[tex]R(x) = 1200* (2x + 1) - 8x* (2x + 1)[/tex]
Open brackets
[tex]R(x) = 2400x + 1200 - 16x^2 -8x[/tex]
Collect Like Terms
[tex]R(x) = - 16x^2 -8x+2400x + 1200[/tex]
[tex]R(x) = - 16x^2+2392x + 1200[/tex]
3 ÷ 1/8 show your work on paper! :D
Answer:
24
Step-by-step explanation:
3 : 1/8 = 3/1 · 8/1 = 3 · 8/1 · 1 = 24/1 = 24
Hope this helped!
PLEASE HELP 22 POINTS
Answer:
y = 15 m<a = 78 m<b = 68
Step-by-step explanation:
(5y+3) + (4y+8) --> 9y + 11
9y + 11 = 146
y = 15
plug in 15 into the equations for the angles and you get
m<a = 78
m<b = 68
Quadrilateral ABCD is a rhombus.
AD = 13 cm & BD = 24 cm,
find AC
Answer:
64
Step-by-step explanation:
I don’t get this please solve it please
Answer:
g=15.04
Step-by-step explanation:
g=4.7×3.2=15.04
Answer:
g/=15.03
Step-by-step explanation:
i hope it's correct in sorry if not
#1
Ben and Irene shared an apple. Ben ate 3/4of the apple
and Irene ate 1/4
of the apple.
How much of the apple did Ben and Irene eat?
Answer:
all of it. because he ate 3/4 and she ate 1/4
Answer:4/4 of the apple
Step-by-step explanation: Ben ate 3/4 of the apple and Irene ate 1/4 parts of the apple what is 1 + 3 =4 and there are 4 part of the apple so 4 is how much they ate and 4 is how much there is to eat so it would be 4/4
(sorry if this does'nt help)
After four rounds, 74 teams are eliminated from a robotics competition. There are 18 teams remaining. Write and solve an equation to find the number of teams t that started the competition.
A triangle has sides measuring 2 inches and 7 inches. If x represents the
length in inches of the third side, which inequality gives the range of possible
values for x?
A. 25x37
B. 5 sxs 9
C. 2
D. 5< x < 9
Answer:
its d.
Step-by-step explanation:
the other guy is wrong
Using sides of a triangle rule, the inequality gives the range of possible values for x is 5 < x < 9.
What is sides of a triangle rule?
The sides of a triangle rule asserts that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side.
Given that two sides of triangle are 2 and 7 inches.
Let the third side be x inches.
x < 2+7 ⇒ x < 9
7 < 2 + x ⇒ x > 5
2 < 7 + x, which is true for any positive value of x.
Thus, 5 < x < 9.
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There are 7 girls and 10 boys taking lifeguard lessons. Write the ratio that compares the number of girls taking lifeguard lessons to the total number of students taking lifeguard lessons
Answer:
7 to 10 or 70%
Step-by-step explanation: