Answer: the monthly payment is $192
Step-by-step explanation:
The cost of the new home entertainment system is $14230.
If the down payment is $2300, then the balance to be paid would be
14230 - 2300 = $11930
We would apply the periodic interest rate formula which is expressed as
P = a/[{(1+r)^n]-1}/{r(1+r)^n}]
Where
P represents the monthly payments.
a represents the amount of the balance
r represents the annual rate.
n represents number of monthly payments. Therefore
a = $11930
r = 0.05/12 = 0.0042
n = 72 months
Therefore,
P = 11930/[{(1+0.0042)^72]-1}/{0.0042(1 + 0.0042)^72}]
11930/[{(1.0042)^72]-1}/{0.0042(1.0042)^72}]
P = 11930/{1.352 -1}/[0.0042(1.352)]
P = 11930/(0.353/0.0056784)
P = 11930/62.125
P = $192
Inga can earn $375 per week in a plant store, or she can earn 3% of total sales. How much would Inga have to sell to earn more in commission than in salary?
Answer:
Inga will have to sell $12,533 to earn more in commission than in salary.
Step-by-step explanation:
As the commission is the percentage of sales amount so, need to calculate the minimum sales value required.
Igna's salary = $375
Commission rate = 3%
Sale to earn more than salary = $376 / 3% = $12,533.33
Igna has to make a minimum sale of $12,533 per week in order to earn more commission than her salary.
The length of the smaller rectangle at the right is 1 inch less than twice its width. Both the dimensions of the larger rectangle are 2 inches longer than the smaller rectangle. The area of the shaded region is 86 square inches. What is the area of the larger rectangle? PLEASE its important
Answer: 464 square inches is the area of the larger rectangle.
Step-by-step explanation: Assuming that the shaded area is the part of the large rectangle outside the small rectangle, you can set up dimensions from the information given.
The small rectangle's Area = w (2w -1) which is 2w² -w
The large rectangle's Area = (w + 2)(2w + 1) which is 2w² + 5w +2
Now figure out the equation for the "shaded area" (probably outside the small rectangle) 2w² + 5w +2 -(2w² -w) = 86 (The 2w² terms cancel)
6w + 2 = 86, so 6w = 84, w=14
Substitute 14 for w in the dimensions of the large rectangle: (w + 2)(2w + 1)
(14+2)(2[14] + 1) = Area
16 × 29 = 464
(I think I deserve Brainliest for figuring this out, but I see the question has been red-flagged, so We'll see!)
BRAINLIEST ANSWER
Which trigonometric ratio is correct for triangle DEF? (Hint: Use
Pythagorean Theorem first)
Sin(D)= 24/7
Tan(D)= 24/25
Cos(E)= 24/25
Sin(E)= 7/24
Answer:
/25 is the trigonometric
tan=24
Answer:
cos(e) sin(e) is the he correct ratio
Use the identity below to complete the tasks:
23 - 63 = (a - b)(a² + ab + b2)
When using the identity for the difference of two
cubes to factor 64x8 - 27
a=
b =
Answer:
a is 2q^2r
b is 3s^2t
the expression factored is...
(2q^2r+3s^2t)(4q^4r^2-6q^2rs^2t+9s^4t^2)
Step-by-step explanation:
100
b)
2. Write the following decimals as common fractions in their simplest forms
a) 0,8
b) 0,03
Answer:
4/5, 3/100
Step-by-step explanation
Let's look at 0.8 first.
0.8 is 8/10, but there's some more.
Let's divide 8 / 2. It is 4.
and, 10 / 2 is 5.
so, 0.8's simplest form is 4/5.
and, 0.03's simmplest fraction is easy.
It is 3/100, cuz 3 is a prime number and 3's integer is only 1 and 3.
Hope this helps!
please help easy time table consumer math <3
Find five rational numbers between 2/3and4/5
Answer:
61 / 90, 62 /90, 63 /90, 64/90, 65/90
Explanation:
2/3 = 2 x 5 / 3 x 5
= 10 / 15
4/5 = 4 x 3 / 5 x 3
12 / 15
we can find 5 rational numbers betwen 2/3 and 4/5 by multiplying them with 5 + 1 = 6
10 / 15 X 6 /6
= 60 / 90
12/ 15 X 6 /6
= 72 / 90
the rational numbers = 61 / 90 62 /90 63 /90 64/90 65/90
Answer:
31/45, 32/45, 11/15, 34/35, 7/9.
Step-by-step explanation:
The LCM of 3 and 5 is 15 so we can write 2/3 and 4/5 as:
10/15 and 12/15 so one rational number between these is 11/15.
Now 11/15 = 33/45 and 4/5 = 36/45
So 2 rationals between these are 34/45 and 35/45 = 7/9
2/3 = 30 /45 and 11/15 = 33/45
so 2 rationals between these are 31/45 and 32/45.
An incomplete distribution is given below:Variable You are given that the median value is 70 and the total number of items is 200. Using the median formula fill up the frequencies.
Answer:
The missing frequencies are x = 8 and y = 43.
Step-by-step explanation:
Median Value =70
Then the median Class =60-80
Let the missing frequencies be x and y.
Given: Total Frequncy = 200 , Median = 46
[tex]\left|\begin{array}{c|ccccccc}Value&0-20&20-40&40-60&60-80&80-100&100-120&120-140\\Frequency&12&30&x&66&y&27&14\\$Cumu.Freq&12&42&42+x&108+x&108+x+y&135+x+y&149+x+y\end{array}\right|[/tex]
From the table
[tex]\sum f_i =149+x+y[/tex]
Here, n = 200
n/2 = 100
Lower Class Boundary of the median class, l=60
Frequency of the median class(f) =66
Cumulative Frequency before the median class, f=42+x
Class Width, h=10
[tex]Median = l + \dfrac{\dfrac{n}{2} - c.f }{f} \times h[/tex]
[tex]70 = 60+ \dfrac{100- 42+x }{66}\times 10\\70 = 60+ \dfrac{58+x }{66}\times 10\\70-60=\dfrac{58+x }{66}\times 10\\10*66=10(58+x)\\58+x=66\\x=66-58\\x=8[/tex]
200=149+x+y
200=149+8+y
y=200-(149+8)
y=43
Hence, the missing frequencies are x = 8 and y = 43.
Use the distributive property to multiply -3(-28)
Answer:
84
Step-by-step explanation:
-3 multiplied by -28 equals 84. The two negatives cancel out.
Answer: ur answer would be 84
-3*-28
84
Which step is the same in the construction of parallel lines and the construction of a perpendicular line to a point off a line?
Answer:
Both types of lines are built on the same plane although they meet different objectives for which they are built.
Step-by-step explanation:
The difference is that in the case of parallel lines they will never cross and in the case of perpendicular lines if they cross each other, which can give rise to the formation of right angles to each other.
f(x)=x^2 what is g(x) PLEASE HELP FAST :)))) THANKS IN ADVANCE!!! YOU'RE THE BEST
Answer:
g(x) = -x² - 3
Step-by-step explanation:
You want to mirror f(x), hence the minus sign.
Then you want to translate it 3 down, hence the -3.
Answer:
g(x) = -x² - 3
Step-by-step explanation:
f(x) is x², so g(x) will be negative because it is on the opposite side of the plane.
g(x) will be -x², it cross the y-intercept at (0, -3)
g(x) = -x² - 3
82 Find the circumference
of a circle with a radius
of 10cm.
A. 6.28 m
B. 62.8m
C. 628m
D. 6280m
Answer:
0.628 m (This is the correct answer but I cant find it in your options)
Step-by-step explanation:
Radius = 10 cm = 0.1 m
Now, The circumference:
=> Circumference = [tex]2\pi r[/tex]
=> C = 2(3.14)(0.1)
=> C = 0.628 m
Answer:
B. 62.8m
Step-by-step explanation:
C= 2πr= 2*3.14* 10 m= 62.8 m
Assumed radius is 10 m as the answer options are in metre
A triangle has angles that measure 107°, 20°, and 53°. What kind of triangle is it?
Answer:
Scalene triangle
Step-by-step explanation:
Let's first cancel out the obvious.
This is not a equilateral triangle because the angles are not equal.
Now if you draw out the triangle, you can see that the triangle is a little weird. Not at all a equilateral triangle.
It's also not a iscosles because no two angles are the same.
Thus we end up with scalene triangle.
Hope this helps!
Suppose that each country currently has 90 workers and each decides to transfer some amount of labor toward its area of comparative advantage. The United States transfers 10 workers away from socks toward producing cell phones. Thailand transfers 18 workers away from cell phones toward producing socks. What will be the new total output of cell phones for both countries combined?
Answer:
I got 41000 cell phones.
Step-by-step explanation:
Step 1: I figured out the amount of each workers from 90
US Sock Production: 18 workers
Thailand Sock Production: 15 workers
US Cell Production: 27 workers
Thailand Cell Production: 30 workers
Step 2: I adjusted the workers amounts to the question's changes
US Sock Production: 18 - 10 = 8 workers
Thailand Sock Productions: 18 + 15 = 33 workers
US Cell Production: 27 + 10 = 37 workers
Thailand Cell Production: 30 - 18 = 12 workers
Step 3: Find the total amount of cell phones produced
4(1000) + 37(1000) = 41000 cell phones
*12/3 = 4 because 3 workers are needed to make 1000 cell phones
Combine the like terms to create an equivalent expression: r+(-5r)
Answer:
-4r
Step-by-step explanation:
r + -5r
Factor out r
r( 1-5)
r(-4)
-4r
SOMEBODY HELPPP PLEASEEEE. I don’t understand
Answer:
a) 18
b) 10
c) x^2 - 4x + 5
d) 4x^2 + 2
Step-by-step explanation:
f(x) = 4x - 2
g(x) = x^2 + 1
a) f(5) = 4(5) - 2 = 20 - 2 = 18.
b) g(-3) = (-3)^2 + 1 = 9 + 1 = 10.
c) g(x - 2)...
g(x - 2) = (x - 2)^2 + 1 = x^2 - 2x - 2x + 4 + 1 = x^2 - 4x + 5.
d) f(g(x)) = f(x^2 + 1) = 4(x^2 + 1) - 2 = 4x^2 + 4 - 2 = 4x^2 + 2.
Hope this helps!
Please answer this question fast in two minutes
Answer:
4
Step-by-step explanation:
Angle 2 and angle 4 are vertically opposite angles.
Vertically opposite angles are equal.
Answer:
the angle that is congruent to <2 is <4.
Step-by-step explanation:
They are vertical angles, therefore congruent
Riley has a farm on a rectangular piece of land that is 200200200 meters wide. This area is divided into two parts: A square area where she grows avocados (whose side is the same as the length of the farm), and the remaining area where she lives.
Every week, Riley spends \$3$3dollar sign, 3 per square meter on the area where she lives, and earns \$7$7dollar sign, 7 per square meter from the area where she grows avocados. That way, she manages to save some money every week.
Write an inequality that models the situation. Use lll to represent the length of Riley's farm.
Answer:
The inequality that models the situation for her to have money to save is
7L² > 3(200L - L²)
On simplifying and solving,
L > 60 meters
Step-by-step explanation:
The length of her farm = L meters
The farm where she grows avocados is of square dimension
Area of the farm = L × L = L²
The piece of land is 200 m wide.
Total area of the piece of land = 200 × L = (200L) m²
If the area of her farm = L²
Area of the side where she lives will be
(Total area of the land) - (Area of the farm)
= (200L - L²)
= L(200 - L)
Every week, Riley spends $3 per square meter on the area where she lives, and earns $7 per square meter from the area where she grows avocados.
Total amount she earns from the side she grows the avocados = 7 × L² = 7L²
Total amount she spends on the side where she lives = 3 × (200L - L²) = 3(200L - L²)
For her to save money, the amount she earns must be greater than the amount she spends, hence the inequality had to be
(Amount she earns) > (Amount she spends)
7L² > 3(200L - L²)
To simplify,
7L² > 3L(200 - L)
Since L is always positive, we can divide both sides by L
7L > 3(200 - L)
7L > 600 - 3L
10L > 600
L > 60 meters
Hope this Helps!!!
Answer:
Answer is in attached image.
If α and β are the zeroes of the polynomial 2x2 + 3x – 7, then find a polynomial whose zeroes are and .
Answer:
[tex]\frac{-\sqrt{65} - 3 }{4}, \frac{\sqrt{65} + 3}{4}[/tex]
Step-by-step explanation:
Since we cannot factor the expression, we must use quadratic formula: [tex]x = \frac{-b +/-\sqrt{b^2 - 4ac} }{2a}[/tex]
Plug in a for 2, b for 3, and c for -7 and you should find your roots.
Solve for x 5 x − 1 = 6 x − 9
Answer:
The value of x in this equation is 8.
Step-by-step explanation:
5x - 1 = 6x - 9
Subtract 6x on both sides.
-x - 1 = -9
Add 1 to both sides.
-x = -8
Divide by -1 on both sides.
x = 8
What is the slope of the line represented by the equation y = 5 x – 3?
0-3
4
o
5
tln m
O 3
Answer:
the slope is 5
Step-by-step explanation:
y = 5 x – 3
This equation is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
the slope is 5 and the y intercept is -3
Answer:
The Slope is 5
Step-by-step explanation:
As seen in the y-intercept equation, 5x is shown as the slope of the line.
What is the parametric form of the line r = (2, -3, 0) + t(1, 0, -1)?
Answer:
d
Step-by-step explanation:
(x,y,z)=(2,-3,0)+t(1,0,-1)
(x,y,z)=(2,-3,0)+(t,0,-t)
(x,y,z)=(2+t,-3,-t)
x=2+t
y=-3
z=-t
If you don't understand, you can ask me :)
Plz help me I really need it not to beg and be annoying buts its for a test.The 6th term of some arithmetic sequence is 26, and the 7th term is 30. Find its first term and the common difference. Answer: The 1st term is ; The common difference is .
Answer: The first term is 6; the common difference is 4.
Step-by-step explanation:
Which expression is equivalent to
Answer:
Option 2) [tex]x^{\frac{1}{8}}y^8[/tex]
Step-by-step explanation:
=> [tex](x^{\frac{1}{4} } y ^{16} )^\frac{1}{2}[/tex]
=> [tex]x^{\frac{1}{4} * \frac{1}{2} } * y ^{16*\frac{1}{2} }[/tex]
=> [tex]x^{\frac{1}{8}}y^8[/tex]
Simplify this expression: 19 - (-8) - (-14) = ? A. 41 B. 25 C. -7 D. -3
Answer:
A. 41
Step-by-step explanation:
19 - (-8) - (-14) =
19+8+14
Remember: Two negatives=One positive ;)
27+14
41
A. 41
Answer:
[tex]\mathrm{A.} \: 41[/tex]
Step-by-step explanation:
[tex]19 - (-8) - (-14)[/tex]
[tex]\mathrm{Apply \: rule:} \: -(-a)=a[/tex]
[tex]19+8+14[/tex]
[tex]\mathrm{Add \: the \: numbers.}[/tex]
[tex]=41[/tex]
Find the value of:[(1/4)-1 + (1/3)-2 - (1/2)-3 ] ÷ 52
Answer:
-71/624
Step-by-step explanation:
Easiest and fastest way to do this is to plug it into you calc. If you are doing it by hand, remember BPEMDAS and convert the fractions into same denominators to make adding easier.
Find the solution of the following simultaneous inequalities: x - 7 –1
Answer:
x-8
Step-by-step explanation:
You add the -7 and -1 and then put the x in front of your answer.
Answer: x-8
Step-by-step explanation:
x-7-1
-7-1=-8
x-8
One week, London earned $313.50 at her job when she worked for 15 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $647.90 ?
Answer:
31hr
Step-by-step explanation:
find 1st - 4th term and then the 10th term for:
A: rule is n^2+3
B: rule is 2n^2
Answer:
A
n^2+3
1. 1^2+3= 4
2. 2^2+3= 7
3. 3^2+3= 12
4. 4^2+3= 19
5. 10^2+3= 103
B
2n^2
1. 2*1^2=2
2. 2*2^2= 8
3. 2*3^2= 18
4. 2*4^2= 32
5. 2*10^2= 200
Answer:
see below
Step-by-step explanation:
n^2+3
n=1: 1^2+3 = 1+3 =4
n=2: 2^2+3 = 4+3 =7
n=3: 3^2+3 = 9+3 =12
n=4: 4^2+3 = 16+3 =19
n=10: 10^2+3 = 100+3 =103
2n^2
n=1: 2*1^2 = 2*1 =2
n=2: 2*2^2 = 2*4 =8
n=3: 2*3^2 = 2*9 =18
n=4: 2*4^2 = 2*16 =32
n=10: 2*10^2 = 2*100 =200
What the answer question now
[tex] < or \: [/tex]
i am not so sure