Answer:
D) FOR BOTH
so 1. D $389.00 17%
2. is D $411.25
Jimmy's Total Minimum Credit Card Payment must be equal to $71.54 if he is to clear his debt over the next 12 months.
What is Minimum Credit Card Payment (MCC)?In order for a credit issuer to give an applicant a card, there is a minimum amount that must be deposited into and remain in such a bank account every month. This is what is called a minimum credit card payment.
To calculate Jimmy's MCCP across all cards, we must use the formula:
(APR * Days of Billing Cycle * balance)/365
So for A:
((563 * 30 * 16)/365)/100 = $7.40
For B:
((2,525 * 30 * 21)/365) / 100 = $43.52
For C:
((972 * 30 * 19)/365) / 100 = $15.18
For D:
((389 * 30 * 17)/365) / 100 = $5.44
To get Jimmy's total Minimum Credit Card Payment, we say:
7.40 + 43.52 + 15.18 + 5.44 = $ 71.54
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Line p passes through (8, -6) and is perpendicular to the line 2x + y = -7. The slope of line p is . The equation of line p is y = 1/2x + ?.
Answer:
y = (1/2) x -10
Step-by-step explanation:
Perpendicular lines are lines make right angles. The slopes of perpendicular lines are opposite reciprocals !
2x + y = -7 rewrite in form y=
y = -7 -2x
slope of this line is -2
perpendicular lines are opposite reciprocals so the line p has a slope = 1/2
line p passes through (8, -6) so plug in point into equation of p and get ?
y = 1/2 x +?
-6 =1/2(8) +?
-6 =4 + ? subtract 4 from both sides
-6-4 = ?
-10 = ?
y = (1/2) x -10
find the median of the list 12,18,21,25,30,43
Answer:
23
21+25=46 ÷2 =23 what you do is cancel out the numbers and find the middle
The median of the given data set 12,18,21,25,30,43 is, 23
What is median?The middle number or piece of data in a collection is known as the median. Three alternative metrics are employed in mathematics to determine the average value for a given group of integers. They are the mode, median, and mean. The measures of central tendency are this trio of measurements.
Median = {(n+1)/2}th term (for odd)
Median = [(n/2)th term + {(n/2)+1}th term]/2 (for even)
Given that,
The data set 12,18,21,25,30,43
By arranging given data set into ascending order,
12, 18, 21, 25, 30, 43
Median = [(n/2)th term + {(n/2)+1}th term]/2 (for even)
Median = (21 + 25)/2
Median = 23
Hence, the median is 23
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g Which one of the following best describes an advantage of using a Poisson distribution (Model 1) over the distribution in Model 2 to model X? It allows us to model the data continuously. It allows individuals to have an arbitrarily large number of siblings. It reduces the amount of unknowns needed for modeling.
Answer:
It reduces the amount of unknowns needed for modeling.
Step-by-step explanation:
Let's first look at the characteristics of poisson distribution.
The Poisson distribution has the following characteristics:
1. It is a discrete distribution.
2. The occurrences in each interval can range from zero to infinity.
3. Each occurrence is very independent of the other occurrences.
4. It helps describes discrete occurrences over an interval.
5. It reduces the amount of constant and unknown needed for modeling an equation.
A movie membership costs $10 a month plus an additional $5 for each movie purchased. If you have only budgeted to spend a maximum of $25 this month, how many movies can you purchase?
Answer:
3
Step-by-step explanation:
25-10/3=3
Answer:
3 movies
Step-by-step explanation:
You can pay for 3 movies because
5*3=15 and you have to pay for the membership which is 10 so
10+15=25
What number is 4 time another. The sum of the reciprocals is 15/4. find the numbers
Answer:
3/4 , 3
Step-by-step explanation:
Let one number = x
Other = 4x
Sum:
x + 4x = 15/4
5x = 15/4
x = 3/4
Thus the numbers are 3/4 , 3
Which is the slope of the line that passes through the points (3, 17) and
(7.25)?
What’s the correct answer for this?
Answer:
B
Step-by-step explanation:
In the attached file
Water is leaking out of an inverted conical tank at a rate of 8200.08200.0 cm3/min cm3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 11.0 m11.0 m and the the diameter at the top is 4.5 m4.5 m. If the water level is rising at a rate of 16.0 cm/min16.0 cm/min when the height of the water is 3.0 m3.0 m, find the rate at which water is being pumped into the tank in cubic centimeters per minute. Answer: cm3/min
Answer:
I' = 197,474.47 cm^3/min
the rate at which water is being pumped into the tank in cubic centimeters per minute is 197,474.47 cm^3/min
Step-by-step explanation:
Given;
Tank radius r = d/2 = 4.5/2 = 2.25 m = 225 cm
height = 11 m
Change in height dh/dt = 16 cm/min
The volume of a conical tank is;
V = (1/3)πr^2 h .....1
The ratio of radius to height for the cone is
r/h = 2.25/11
r = 2.25/11 × h
Substituting into equation 1.
V = (1/3 × (2.25/11)^2)πh^3
the change in volume in tank is
dV/dt = dV/dh . dh/dt
dV/dt = ((2.25/11)^2)πh^2 . dh/dt ....2
And change in volume dV/dt is the aggregate rate at which water is pumped into the tank.
dV/dt = inlet - outlet rate
Let I' represent the rate of water inlet and O' represent the rate of water outlet.
dV/dt = I' - O'
Water outlet O' is given as 8200 cm^3/min
dV/dt = I' - 8200
Substituting into equation 2;
I' - 8200 = ((2.25/11)^2)πh^2 . dh/dt
I' = ((2.25/11)^2)πh^2 . dh/dt + 8200
h = 3.0 m = 300 cm (water height)
Substituting the given values;
I' = ((2.25/11)^2)×π×300^2 × 16 + 8200
I' = 197,474.47 cm^3/min
the rate at which water is being pumped into the tank in cubic centimeters per minute is 197,474.47 cm^3/min
Stir-fry is Gabe's favorite food to cook, but it always makes a lot of smoke! Gabe needs to know the volume of his kitchen so he can buy a fan that is the right size. Gabe's kitchen has a floor area of 85 square feet. The height of the ceiling is 8 feet. What is the volume of Gabe's kitchen?
Answer:
The volume of Gabe's kitchen is 680 ft^3
Step-by-step explanation:
The volume of the kitchen can be derived by multiplying the floor area of the kitchen by the height.
Volume = floor area × height
Given;
Floor area = 85 ft^2
Height = 8 ft
Substituting the given values into the equation;
Volume = 85 × 8 = 680 ft^3
The volume of Gabe's kitchen is 680 ft^3
A rhombus has side lengths of 25. What could be the lengths of the diagonals?
A. 22 and 40
B. 26 and 36
C. 26 and 48
D. 30 and 40
Answer:
The correct option is;
D. 30 and 40
Step-by-step explanation:
Here, we have that the rhombus is a quadrilateral with equal and parallel sides hence the length of the diagonals will be
2 × 25×sinθ and 2 × 25× cosθ
Therefore tanθ = (2 × 25×sinθ)/(2 × 25× cosθ) = (sinθ)/(cosθ)
Therefore, the root of the sum squares of both diagonals = 50
Therefore, we analyze each of the options as follows
For A. we have √(22² + 40²) = 45.65 ≠ 50 therefore these are not the length of diagonals of the rhombus in question
For B. we have √(26² + 36²) = 44.41 ≠ 50 therefore these are not the length of diagonals of the rhombus in question
For C. we have √(26² + 48²) = 55.59 ≠ 50 therefore these are not the length of diagonals of the rhombus in question
For D. we have √(30² + 40²) = 50 therefore these are possible lengths of diagonals of the rhombus in question.
What is 1/3 of 5 1/2
Answer:
im so sorry
Step-by-step explanation:
Answer:
(1/3)*(5 1/2) = 1.83333333333 or 1.8
Step-by-step explanation:
A footbridge has a span of 54 feet. A sign is
to be placed exactly halfway across the bridge. How far will the center of the sign be from each end of the bridge?
Answer:
27
Step-by-step explanation:
Because if it is halfway, that means
halfway=1/2
1/2=1/2 of 54
54/2 or 1/2 of 54=27
PLS MARK ME BRAINLIEST I NEED IT PLEASE
The center of the sign will be 27 feet apart from both ends of the bridge.
Given that,
A footbridge has a span of 54 feet. A sign is to be placed exactly halfway across the bridge. How far will the center of the sign be from each end of the bridge is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
Since the bridge is 54 feet long,
Now at the center of the bridge, a sign is placed,
So the distance of sign from both ends is equal to half of the total length of the bridge. i.e.
= 54 / 2
= 27
Thus, the center of the sign will be 27 feet apart from both ends of the bridge.
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What is the measure of angle A?
Answer:
A = 19.47
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hypotenuse
sin A = 2/6
Take the inverse sin of each side
sin ^-1 ( sin A) = sin ^-1 (2/6)
A =19.47122063
To the nearest hundredth
A = 19.47
A number pattern starts with 10 and follows the rule "multiply by 3." What is true
about all of the numbers in this pattern?
how many tenths are in 4600
Answer:
4600 tenths as a Fraction
Since 4600 tenths is 4600 over ten, 4600 tenths as a Fraction is 4600/10.
4600 tenths as a Decimal
If you divide 4600 by ten you get 4600 tenths as a decimal which is 460.00.
4600 tenths as a Percent
To get 4600 tenths as a Percent, you multiply the decimal with 100 to get the answer of 46000 percent.
4600 tenths of a dollar
First we divide a dollar into ten parts where each part is 10 cents. Then we multiply 10 cents with 4600 and get 46000 cents or 460 dollars and 0 cents.
Step-by-step explanation:
Hope this helped!
Stay safe!!!
Answer:
Step-by-step explanation:
To answer this, multiply 4600 by 10: 46000. There are 46000 tenths in 4600.
what is the solution to this system?
Two terms of an arithmetic sequence are a12=70 and a30=124. Write an explicit rule for the nth term.
Answer:
Tn = 34-3nStep-by-step explanation:
The formula for calculating the nth term of an arithmetic sequence is given as;
Tn = [tex]a+(n-1)d[/tex]
a is the first term
n is the number of terms
d is the common difference
If two terms of an arithmetic sequence are a12=70 and a30=124 then;
T12 = a+(12-1)d = 70
T12 = a+11d = 70...(1)
T30 = a+(30-1)d = 124
T30 = a+29d = 124...(2)
Solving equation 1 and 2 simultaneously to get a and d;
Taking the difference of both equation we have;
29d - 11d = 124-70
18d = 54
d = 54/18
d = 3
Substituting d=3 into equation 1 to get the value of 'a' we have;
a+11(3) = 70
a+33=70
a = 70-33
a = 37
To get the explicit rule for the nth term of the sequence, we will use the formula Tn = a+ (n-1)d where a = 37, d =3
Tn = 37+(n-1)3
Tn = 37+3n-3
Tn = 34-3n
This gives the required nth term
Area = 27 mi2
The area of the polygon is 27 mi? What is the length of side
miles
Answer:
3 mi
Step-by-step explanation:
There are three squares with side a
The area of a square is s^2 where s is the side length
A of the square is a^2
We have three of them so add the areas together
a^2+a^2+a^2 = 3a^2
This is equal to 27
3a^2 = 27
Divide each side by 3
3/3a^2 = 27/3
a^2 = 9
Take the square root of each side
sqrt(a^2) = sqrt(9)
a = 3
Question 1
Write x2 + 4x – 3x3 + 6 in standard form.
a) – 3x3 + 4x + x2
b) x2 – 3x3 + 4x + 6
c) –3x3 + x2 + 4x + 6
d) 6 + 4x – 3x3 + x2
Answer:
-3x^3 + x^2 + 4x +6
Answer is C
Step-by-step explanation:
Answer: -3x^3 + x^2 + 4x +6
Answer is C
Step-by-step explanation:
What is the number of possible permutations of 5 objects taken 2 at a time? A. 10 B. 20 C. 60 D. 120
Answer:
B. 20
Step-by-step explanation:
5P2 is equal to 20 using the permutation formula.
Compute the amount of interest earned in the following simple interest problem. A deposit of $4,500 at 5% for 3 years:
$67.50
$6.75
$675.00
$6,750.00
Answer:
$675.00
Step-by-step explanation:
4500 x 0.05 x 3 = 675
Find the first, fourth, and eighth terms of the sequence.
A(n) = −2 ∙ 5x − 1
Answer:
lemme think brb
Step-by-step explanation:
Answer:
–50; –6,250; –3,906,250
Step-by-step explanation:
A pediatrician randomly selected 10 parents of his patients. Then he surveyed the parents about their opinions of different kinds of diapers. Identify the population and sample in this setting. Choose 1 answer
Answer:
c) The population is the parents of the pediatrician's patients; the sample is the
10
1010 parents of patients selected.
Step-by-step explanation:
Answer:
c) The population is the parents of the pediatrician's patients; the sample is the
10
1010 parents of patients selected.
Step-by-step explanation:
A square and rectangle have the same perimeter.
The rectangle is 13 cm long and 7 cm wide What is the length of a side of the square
The length of a side of the square is 10 cm.
What is a length?Length is defined as the measurement or extent of something from end to end.
The perimeter of rectangle is obtained using the formula
perimeter = 2(length+width)
Perimeter of square is obtained using the formula
perimeter = 4(length of one side)
Length of rectangle is 13 cm.
Width of rectangle is 7 cm.
Then the perimeter of rectangle is obtained as
perimeter = 2(length+width) = 2(13+7) = 2*20=40
Perimeter of square is
perimeter = 4(length of one side) = 40
Therefore, length of one side is 10 cm.
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· Find (f • g)(x).
f(x) = 3x
g(x) = 5x
Write your answer as a polynomial in simplest form.
(fog)(x) =
The expression of (fog)(x) in the simplest form is [tex](fog)(x)=15x[/tex] and this can be determined by using the arithmetic operations.
Given :
[tex]f(x) = 3x\\g(x) = 5x[/tex]
The following steps can be used in order to determine the expression of (fog)(x):
Step 1 - Write the given function.
[tex]f(x) = 3x\\g(x) = 5x[/tex]
Step 2 - Now, replace 'x' by g(x) in order to determine the expression of (fog)(x).
[tex](fog)(x)=3\;g(x)[/tex]
[tex](fog)(x)=3\times 5x[/tex]
Step 3 - Simplify the above expression.
[tex](fog)(x)=15x[/tex]
The expression of (fog)(x) in the simplest form is [tex](fog)(x)=15x[/tex].
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What is the surface area of the triangular prism? 10mm 6mm 16mm 12mm
Answer:it would help of you included a photo because the base is measured differently from the triangles
Step-by-step explanation:
What whole number when rounding to the nearest hundred is 700
Answer:
honestly quite a lot
Step-by-step explanation:
any number from 650-699, and also from 700-749
Answer:
range, 700-749
Step-by-step explanation:
Please help asap! Will give brainliest! Please read the question then answer correctly! No guessing.
Answer:
(x + 5) (x - 7)
Step-by-step explanation:
To factor this trinomial, you must split the middle term (-2x) into two terms that can be added to get -2x, and multiplied to get -35:
[tex]x^2[/tex] - 2x - 35
[tex]x^2[/tex] - 7x + 5x - 35
Group:
([tex]x^2[/tex] - 7x) (5x - 35)
Take out GCF (Greatest Common Factor):
x(x - 7) 5(x - 7)
(x + 5) (x - 7)
Phil wishes to compare the weights of professional athletes to the weights of non-professional athletes. Phil completes a simple random sample of professional athletes and records his results in pounds: 125 147 240 186 156 205 248 152 199 207 176 Phil also completes a simple random sample of non-professional athletes and records his results in pounds: 151 161 139 128 149 160 201 173 The samples are independent and come from normally distributed populations. Use the p-value method and a 2% significance level to test the claim that the mean weights of professional and non-professional athletes are the same. What population parameter is being tested
Answer: 4
Step-by-step explanation:
I need help finding slope
Answer & Step-by-step explanation:
In this problem, we a re given two points. These points are (-4, 3) and (-2, -1). We can use these points and put them into the slope formula.
[tex]Slope=\frac{y2-y1}{x2-x1}[/tex]
Now, plug in the points to their respectful places.
[tex]Slope=\frac{-1-3}{-2-(-4)}[/tex]
[tex]Slope=\frac{-4}{2}[/tex]
[tex]Slope=-2[/tex]
So, your slope of the the line is -2.
