Answer:
The answer is $3277.48
Step-by-step explanation:
An Annual Percentage Rate or APR is calculated by taking into account the interest rate on a credit card (or another borrowed sum) and any other charges such as an annual fee or arrangement fee.
So the first step here is to calculate the 3.5% cash advance fee on cash advance of $2790.00.
$2790.00 × 3.5%
2790 × (3.5 ÷ 100)
2790 × 0.035
$97.65
Now APR is calculated on the sum of cash advance and cash advance fee, i.e.,
13.5% × (2790 + 97.65)
13.5% × 2887.65
( 13.5 ÷ 100 ) × 2887.65
0.135 × 2887.65
$389.83
The total amount due at the end of the month is sum of Cash advance, Cash advance fee and APR
$2790 + $97.65 +$389.83 = $3277.48
3.277.48
this a a short answear
If a job pays $45,000 per year, you live in a state where our total tax burden is 22% and you recieve a weekly paycheck, what is your take-home pay from a paycheck?
Final answer:
The weekly take-home pay from a $45,000 annual salary with a 22% total tax burden is approximately $675.00 after taxes.
Explanation:
To calculate the take-home pay from a paycheck when you know the annual salary and the total tax rate, you must first determine the amount of money deducted for taxes and then subtract that from the gross (before-tax) pay. If a job pays $45,000 per year and the total tax burden is 22%, we can find the annual take-home salary and then divide by the number of pay periods per year to get the weekly take-home pay.
First, calculate the total annual taxes: $45,000 * 0.22 = $9,900.
Next, subtract the annual taxes from the annual salary to get the annual take-home salary: $45,000 - $9,900 = $35,100.
Since there are 52 weeks in a year, divide the annual take-home salary by 52 to find the weekly take-home pay: $35,100 / 52 \\approx $675.00.
Therefore, the weekly take-home pay would be approximately $675.00.
The students in the fourth and fifth grades are going to a concert. There are 178 students. Each row has 8 seats. The fifth grade students fill 12 rows. How many rows are needed for the fourth graders?
Final answer:
Fifth graders take up 96 seats, leaving 82 fourth graders. Dividing 82 by 8 seats per row yields 10.25, which we round up to 11 rows needed for the fourth graders.
Explanation:
To calculate the number of rows needed for the fourth graders, we need to first determine the total number of seats taken by the fifth graders. Since each row has 8 seats and the fifth graders fill 12 rows, the total number of seats taken by the fifth graders is 12 rows × 8 seats/row = 96 seats.
Now, we subtract the number of seats taken by the fifth graders from the total number of students attending to find out how many fourth graders there are: 178 students - 96 seats taken by fifth graders = 82 fourth graders.
The number of rows needed for the fourth graders can be calculated by dividing the total number of fourth graders by the number of seats per row: 82 fourth graders ÷ 8 seats/row = 10.25 rows. Since we can't have a fraction of a row, we round up to the next whole number. Therefore, the fourth graders will need 11 rows.
[tex]4(2x + 7) = 12 - 2(10 - 2x)[/tex]
which of the following represents exponential growth?
[tex]y = 2x + 5[/tex]
[tex]y - x = 4[/tex]
[tex]x = 3[/tex]
[tex]y = 5 \times 2^{x} [/tex]
Answer:
y = 5 × [tex]2^{x}[/tex]
Step-by-step explanation:
Exponential growth equations are usually in the form y = a × [tex]b^{x}[/tex].
So, y = 5 × [tex]2^{x}[/tex] is the best fit for that format.
Have a great day!
The exponential growth:
[tex]y=a\cdot b^x[/tex]
Therfore your answer is [tex]y=5\times2^x[/tex]
--------------------------------------------------------
y = 2x + 5 it's a linear function in slope-intercept form
y - x = 4 → -x + y = 4 it's a linear function in standard form
x = 3 it's a vertical line
van’s family drove to a theme park for vacation. They drove the same speed throughout the trip. The first day, they drove 300 miles in 6 hours. The second day, they drove 250 miles in 5 hours. The third day, they arrived at the park after driving for 3 hours. How many miles did they drive on the third day?
Answer:
150 miles
Step-by-step explanation:
If they drove the same speed throughout the trip, we can find the speed from
d= rt
Solving for r
d/t =r
300 miles/ 6 hours = r
50 miles per hour = rate ( or speed)
On the last day, the drove 3 hours.
d =rt
d = 50 miles per hour * 3 hours
d = 150 miles
You have a coin bank in the shape of a cylinder. It has a radius of 1.5 inches and a height of 5 inches. What is the surface area of the coin bank? Use 3.14 to approximate pi. Round your answer to the nearest hundredth.
Answer:
Total surface area =61.23 in ^2
Step-by-step explanation:
To find the total surface area of a cylinder, we use the formula
T . S . A . = 2 π r h + 2 π r^ 2
where r is the radius and h is the height
We know the radius is 1.5 and the height is 5
Substituting the values into the equation
T . S . A . = 2 π (1.5)(5) + 2 π (1.5) ^2
= 15 π +4.5 π
= 19.5 π
Using 3.14 for π
= 19.5 * (3.14)
=61.23 in ^2
Answer:
61.23 square inches
.............................................................................................................
Step-by-step explanation:
What is half of 7/8?
Answer:
7/16
Step-by-step explanation:
this may be stupid but u can use this way if you want
half of 7 is 3.5 which makes 3.5/8 it should not be a decimal so you can find something equal to 3.5 which gives you 7/16
or this is less stupid but find something equal yo 7/8 that can be divided in half such as 14/16 then divide that in half and you get 7/16
The half of 7/8 is 7/16.
We have given that,
7/8 we have to determine half of 7/8.
What is the fraction?Fractions represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator.
half of 7 is 3.5 which makes 3.5/8 it should not be a decimal so you can find something equal to 3.5 which gives you 7/16.
7/8 that can be divided in half such as 14/16 then divide that in half and you get 7/16.
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Find the common ratio of the sequence. 3, 9, 27, 81, . . . 6 –6 3
Answer:
The common ratio is 3
Step-by-step explanation:
To determine the common ratio, we take the second term and divide by the first term
9/3 =3
To verify this we take the third term and divide by the second term
27/9 = 3
ursula drew a polygon in which all the triangles were obtuse. what kind of polygon could she have drawn?
A. Trapezoid
B. Parallelogram
C. Triangle
D. Pentagon
Ursula could have drawn a pentagon because all angles of a pentagon are obtuse angles.
What is an obtuse angle?An angle greater than 90° is called an obtuse angle.
Trapezoid: A quadrilateral with at least one pair of parallel sides is called
a trapezoid.
In a trapezoid, all the angles are not greater than 90° i.e. all the angles are not obtuse angles.
Similarly, In triangles and parallelograms, all the angles are not obtuse angles.
Pentagon: In a pentagon, all angles are greater than 90° i.e. obtuse angles.
Hence, Ursula could have drawn a pentagon because all angles of a pentagon are obtuse angles.
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Two jackets have a combined cost of $98. Jacket A costs 12 less than Jacket B. How much doea each jacket cost?
Let n stand for the cost of Jacket A
Equation:____
Jacket A costs____
Jacket B costs_____
Answer:
Jacket A would be $86 and
Jacket B would be $12.. You would add them together and get the $98..
Step-by-step explanation:
Answer:
Equation:
xᵃ + xᵇ= 98
xᵃ=xᵇ-12
Jacket A costs $43
Jacket B costs $55
Step-by-step explanation:
We have 2 equations
Knowing
xᵃ= cost of jacket A
xᵇ= cost of jacket A
xᵃ + xᵇ= 98
xᵃ=xᵇ-12
If we replace xᵃ in the first equation
xᵇ-12 + xᵇ= 98
2xᵇ-12= 98
2xᵇ=98+12=110
xᵇ=110/2=55
xᵇ=55
xᵃ=xᵇ-12
xᵃ=43
You sold 10 pies at a bake sale for $6.50 each, but you spent $18.00 on bake sale supplies. Which equation shows how to calculate your profit, p?
Answer:
Step-by-step explanation:
10x$6.50 then you subtract that from $18.00 now help me on my question
Profit means the amount YOU get (revenue) minus the cost you paid (expenses). Your expenses were $18. Your revenue was the total you earned from those 10 pies.
They were $6.5 each, which means that if you multiplied by 10, you would get the total.
p=6.5 x 10 - 18
The variables y and x have a proportional relationship, and y = 7 when x = 2.
What is the value of x when y = 21?
Answer:
Step-by-step explanation:
The Ratio of y : x equals to 7 : 2. Multyplying both number by three, y equals 21 and x equals 6
Answer:
x=6
Step-by-step explanation:
We can use ratios to solve this. The ratio has to stay constant if they are proportional. Put y in the numerator and x in the denominator.
7 21
----- = ----
2 x
We can solve using cross products.
7*x =2 *21
7x = 42
Divide each side by 7
7x/7 = 42/7
x =6
Find the coordinates of the midpoint of the segment whose endpoints are H(6,4) and K(2,8).
Answer:
The midpoint is (4,6)
Step-by-step explanation:
When we have 2 points, we can find the midpoint by using the formula
midpoint = (x1+x2)/2, (y1+y2)/2
= (6+2)/2, (4+8)/2
= (8/2), 12/2
= 4,6
CMON PLEASE NEED CORRECT ANSWER PLEASE NEED HELP!!!!!!!!!!!!!):
How far are 27 and -54 apart on the number line?
Answer: 71 numbers apart
Step-by-step explanation: 27 and -54 are 71 numbers apart. In order for 27 to each -54 it must first reach 0. You basically add them while ignoring any negatives. Hope this helped :)
Ben is repackaging a 45 pound bag of Rice into 8 smaller Bags so much rice is going to be in each smaller bag
Answer:
5.625
Step-by-step explanation:
45 ÷ 8 = 5.625
Help please need this answer
Answer:
The answer is option A.
True
Hope this helps you
mark reduced the size of a photo to a height of 4in. What is the new width if it was originally 16 in tall and 8 in wide
The new width of the photo is 2 inches.
Explanation:To find the new width of the photo, we can use the concept of proportions. Let's set up the proportion:
Original Height / Original Width = Reduced Height / New Width
Plugging in the given values, we have:
16 in / 8 in = 4 in / x
Cross multiplying, we get:
16x = 32
Dividing both sides by 16, we find:
x = 2
So the new width of the photo is 2 inches.
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what is 12 1/4 simplifying
Answer:
12.25 or 49/4
Step-by-step explanation:
12.25 is the decimal version because 1/4 is equal to 0.25 as a decimal and then add the 12 on.
13/4 is the improper fraction. To get an improper fraction, you multiply the main number (12) by the denominator (4) this gives you 48. Then, you have to add your numerator (1), leaving you with 49 over 4.
The value of the mixed fraction number 12 ¹/₄ will be 12.25.
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The mixed fraction number is given below.
⇒ 12 ¹/₄
Convert the mixed fraction number into a decimal number. Then we have
⇒ 12 ¹/₄
⇒ 12 + ¹/₄
⇒ 12 + 0.25
⇒ 12.25
The value of the mixed fraction number 12 ¹/₄ will be 12.25.
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How many liters of 20% alcohol solution must be mixed with 60 liters of a 90% solution to get a 70% solution
Answer:
24 liters of 20% alcohol
Step-by-step explanation:
HW 7.4/7.5 help mhhhh
Answer:
1. LI=18
2. x=10
3. Yes (Y)
4. Yes (Y)
5. x=15
6. x=18
7. x=8
8. x=6
y=6.5
Step-by-step explanation:
1. LI/JL=KH/JK
Replacing the given values:
LI/6=21/7
Dividing on the right side of the equation:
LI/6=3
Solving for LI: Multiplying both sides of the equation by 6:
6(LI/6)=6(3)
LI=18
2.TV/VS=RU/US
Replacing the given values:
x/17.5=8/14
Simplifying the fraction on the right side of the equation: Dividing numerator and denominator by 2:
x/17.5=(8/2) / (14/2)
x/17.5=4/7
Solving for x: Multiplying both sides of the equation by 17.5:
17.5(x/17.5)=17.5(4/7)=(17.5/1)(4/7)
Multiplying:
x=(17.5 x 4) / (1 x 7)
x=70/7
Dividing:
x=10
3. BC is parallel to DE if AD/DB is equal to AE/EC:
AD/DB=15/12=(15/3) / (12/3)→AD/DB=5/4
AE/EC=10/8=(10/2) / (8/2)→AE/EC=5/4
Like AD/DB=5/4=AE/EC → BC is parallel to DE
4. BC is parallel to DE if AD/DB is equal to AE/EC:
AD/DB= 2DB / DB→AD/DB=2
AE/EC=30 / (AC-AE)=30 / (45-30)=30/15→AE/EC=2
Like AD/DB=2=AE/EC → BC is parallel to DE
5. If JH is a midsegment of triangle KLM:
x=(1/2)(30)
x=15
6. If JH is a midsegment of triangle KLM:
x=2(9)
x=18
7. If JH is a midsegment of triangle KLM: x=8
8. 2x+1=x+7
Solving for x. Grouping the x's on the left side of the equation: Subtracting x both sides of the equation:
2x+1-x=x+7-x
Subtracting:
x+1=7
Subtracting 1 both sides of the equation:
x+1-1=7-1
Subtracting:
x=6
2x+1=2(6)+1=12+1→2x+1=13
x+7=6+7→x+7=13
(3y-8)/(y+5)=(2x+1)/(x+7)
(3y-8)/(y+5)=13/13
(3y-8)/(y+5)=1
3y-8=y+5
Solving for y. Grouping the y's on the left side of the equation: Subtracting y both sides of the equation:
3y-8-y=y+5-y
Subtracting:
2y-8=5
Adding 8 both sides of the equation:
2y-8+8=5+8
Subtracting:
2y=13
Dividing both sides of the equation by 2:
2y/2=13/2
Dividing:
y=6.5
Help with this question!
Answer:
see below
Step-by-step explanation:
In a right triangle, sin = opposite /hypotenuse
but m is adjacent to the angle, so we need to use cosine
cos = adjacent /hypotenuse
cos 73 = m/9
Multiply each side by 9
9 cos 73 = m
2.631345343 =m
Write this in standard notation: 3.812 x 10^7
Answer:
3,8120,000
Step-by-step explanation:
Move the decimal over 7 times to the left. If the exponent was negative you would move the decimal to the right 7 times
The function f(x)=5^(x-1) is shown on the coordinate plane. Select from the drop down menus to correctly describe the end behavior of f(x)
Answer: The end behavior of the given function is,
[tex]f(x)\rightarrow 0[/tex] as [tex]x\rightarrow -\infty[/tex]
And, [tex]f(x)\rightarrow \infty[/tex] as [tex]x\rightarrow \infty[/tex]
Step-by-step explanation:
Since, by the property of the graph of the exponential function,
If an exponential function is, [tex]f(x) = ab^x[/tex]
If b >1 ( increasing function ) then its end behavior is,
[tex]f(x)\rightarrow 0[/tex] as [tex]x\rightarrow -\infty[/tex]
And, [tex]f(x)\rightarrow \infty[/tex] as [tex]x\rightarrow \infty[/tex]
While b < 1 ( decreasing function, then its end behavior is,
[tex]f(x)\rightarrow \infty[/tex] as [tex]x\rightarrow -\infty[/tex]
And, [tex]f(x)\rightarrow 0[/tex] as [tex]x\rightarrow \infty[/tex]
Here, given function is, [tex]f(x)=5^{x-1}[/tex]
Since 5 > 1
Therefore, the end behavior of the given function is,
[tex]f(x)\rightarrow 0[/tex] as [tex]x\rightarrow -\infty[/tex]
And, [tex]f(x)\rightarrow \infty[/tex] as [tex]x\rightarrow \infty[/tex]
Three trigonometric functions for a given angle are shown below. sin theta = -77/85, cos theta=36/85 tan theta=77/36 What are the coordinates of point (x, y) on the terminal ray of angle theta assuming that the values above were not simplified?
A) (-77,-36)
B)(-77,36)
C) (-36,77)
D) (36, -77)
Answer:
The correct option is D.
Step-by-step explanation:
It is given that
[tex]\sin \theta =\frac{-77}{85}[/tex]
[tex]\cos \theta =\frac{36}{85}[/tex]
The angle of terminal ray is θ, it means the angle between x-axis and terminal ray is θ.
[tex]\sin \theta =\frac{perpendicular}{hypotenuse}[/tex]
[tex]\cos \theta =\frac{base}{hypotenuse}[/tex]
Therefore the length of perpendicular is 77 and the base of the triangle is 36.
Since sinθ is negative and cosθ is positive, it means point must be lies on fourth quadrant because in fourth quadrant cosine in positive but sine is negative.
The point of terminal ray is (base, perpendicular) and the sign are used according to the quadrant.
Therefore the point of terminal ray is (36,-77) because in fourth quadrant x is positive but y is negative. Option D is correct.
The coordinates of the point (x, y) on the terminal ray of angle theta are (36, -77).
Given
Three trigonometric functions for a given angle are shown below.
sin theta = -77/85, cos theta=36/85, tan theta=77/36.
What is a terminal ray of angle?A ray is defined as the initial side of the angle.
The second ray which is called the terminal side of the angle.
The value of the sin and cos theta then, the co-ordinate lies in the fourth quadrant.
Therefore, the coordinates of the point (x, y) on the terminal ray of angle theta are (36, -77).
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Harvey is finding the area of a figure that can be divided into 2 equal trapezoids. The basis of each trapezoid are 14 and 24. The height of each is 8. What is the area of the figure?
Answer:
The area of figure is 304 square unit.
Step-by-step explanation:
The figure divided into 2 equal trapezoids.The height of each is 8. The basis of each trapezoid are 14 and 24. It means the length of the parallel sides are 14 and 24.
Area of a trapezoid is
[tex]A=\frac{a+b}{2}\cdot h[/tex]
Where, a and b are length of parallel sides and h is the height of trapezoid.
Area of a trapezoid is
[tex]A_1=\frac{24+14}{2}\times 8[/tex]
[tex]A_1=19\times 8[/tex]
[tex]A_1=152[/tex]
Therefore area of a trapezoid is 152.
The area of figure is twice of area of a trapezoid.
[tex]A=2\times A_1=2\times 152=304[/tex]
Therefore the area of figure is 304 square unit.
Answer:
304
Step-by-step explanation:
Hope this helps! :)
The equation of a circle is given below. x ^2 +(y-2.25)^2 =196/169. What is the center? What is the radius?
Answer:
center : (0, 2.25)
radius: 14/13
Step-by-step explanation:
x^2+(y-2.25)^2=196/169
Rewrite x^2+(y-2.25)^2=196/169
(x-0)^2+(y-2.25)^2=(14/13)^2
c=(0,2.25),r= (14/13)
hope this helps<3
Final answer:
The center of the circle described by the equation is at (0, 2.25), and its radius is 14/13 units.
Explanation:
The equation given is x^2 + (y-2.25)^2 = 196/169. This equation is of the form (x-h)^2 + (y-k)^2 = r^2, where (h, k) is the center of the circle, and r is the radius. To find the center and radius, we compare the given equation to the standard form.
Center: By comparison, h=0 and k=2.25, so the center is at (0, 2.25).
Radius: The radius is the square root of 196/169, which is 14/13. Therefore, the radius is 14/13 units.
What is the sum of (8y+2) + (7y+6) ?
Answer:
combine like terms
15y+ 8
Molly is having her birthday party at Pizza Party Palace. The costs involved are listed below. Pizza Party Palace requires a 10% deposit prior to the date of the event. If the deposit has been paid, how much is still owed for Molly's party? Party Prices • Food & Drink $200 • Game Tokens $100 • Other $60 A. $324 B. $72 C. $36 D. $288
complete the solution of the equation find the value of y when x equals -7. -7x-5y=54
Answer:
Y= -1
Step-by-step explanation:
Final answer:
To find the value of y when x equals -7 in the equation -7x - 5y = 54, substitute -7 for x, simplify the equation, and solve for y. The value of y is -1.
Explanation:
To complete the solution of the equation and find the value of y when x equals -7, we will plug -7 in for x in the equation -7x - 5y = 54.
Here is the step-by-step process:
Substitute x with -7: -7(-7) - 5y = 54.Multiply -7 by -7: 49 - 5y = 54.Subtract 49 from both sides: -5y = 54 - 49.Simplify the equation: -5y = 5.Divide both sides by -5: y = 5 / (-5).Calculate the value of y: y = -1.So, the value of y when x equals -7 is -1.
Given the functions f(x)=3x^2 g(x)=x^2-4x+5 and h(x)=-2x^2+4x+1 rank them from least to greatest based on their axis of symmetry
ok, ranked by axis of symmetry
basically x=something is the axis of symmetry
the way to find the axis of symmetry is to convert to vertex form and find h and that's the axis of symmetry
but there's an easier way
for f(x)=ax^2+bx+c
the axis of symmetry is x=-b/2a
nice hack my teacher taught me
so
f(x)=3x^2+0x+0
axis of symmetry is -0/(3*2), so x=0 is the axis of symmetry for f(x)
g(x)=1x^2-4x+5,
axis of symmetry is -(-4)/(2*1)=4/2=2, x=2 is axis of symmetry for g(x)
h(x)=-2x^2+4x+1
axis of symmetry is -4/(2*-2)=-4/-4=1, x=1 is the axis of symmetry for h(x)
0<1<2
axisies
f(x)<h(x)<g(x)
order based on their axises of symmetry is f(x), h(x), g(x)
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Answer:
To find the axis of symmetry.
A quadratic equation is in the form of :
[tex]ax^2+bx+c =0[/tex] where a, b and c are coefficients and x is the variable
Axis of symmetry is given by :
[tex]x = -\frac{b}{2a}[/tex]
First identify a, b and c in the equation
[tex]f(x) = 3x^2[/tex]
⇒ a= 3 , b= 0 and c =0
[tex]g(x) = x^2-4x+5[/tex]
⇒ a = 1 , b = -4 and c =5
and
[tex]h(x) = -2x^2+4x+1[/tex]
⇒ a = -2 , b =4 and c =1
Using above formula of the axis of symmetry:
[tex]x = -\frac{b}{2a}[/tex]
then;
In f(x)
Axis of symmetry: [tex]x = -\frac{0}{2 \cdot 3} = 0[/tex]
Similarly;
In g(x)
Axis of symmetry : [tex]x = -\frac{-4}{2 \cdot 1} = \frac{4}{2} =2[/tex]
In h(x)
Axis of symmetry : [tex]x = -\frac{4}{2 \cdot -2} = \frac{4}{4} =1[/tex]
Rank from least to greater on basis of axis of symmetry: 0 , 1 , 2
⇒ f(x); h(x) ; g(x)