Answer:
$198,859.03
Step-by-step explanation:
The amortization formula is good for this. Fill in the given numbers and solve for the unknown.
A = P(r/n)/(1 -(1 +r/n)^(-nt))
where A is the monthly payment, P is the principal amount of the loan, r is the annual interest rate, n is the number of times per year interest is compounded, and t is the number of years.
1340.00 = P(0.0525/12)/(1 -(1 +0.0525/12)^(-12·20)) ≈ 0.00673844·P
P ≈ 1340/0.00673844 ≈ $198,859.03
The family can afford a loan for $198,859.
please helppppppp !!!
Answer:
64
Step-by-step explanation:
Supplementary angles add up to 180. Since you are given one, just subtract 116 from 180 to get 180 - 116 = 64.
50 points PLZZZZZZZ HELP!!!!!!
Answer:
[tex]2^{-98}[/tex]
Step-by-step explanation:
[tex](\frac{2^{-10} }{2^{4} } )^{7}[/tex]
[tex](2^{-14})^{7}[/tex]
[tex]2^{-98}[/tex]
Answer:
[tex]\boxed{\frac{1}{2^{98}} }[/tex]
Step-by-step explanation:
[tex](\frac{2^{-10}}{4^2} )^7[/tex]
=> [tex](\frac{2^{-10}}{2^{2(2)}} )^7[/tex]
=> [tex](\frac{2^{-10}}{2^4} )^7[/tex]
Using law of exponents [tex]a^m/a^n = a^{m-n}[/tex]
=> [tex](2^{-10-4})^7[/tex]
=> [tex](2^{-14})^7[/tex]
=> [tex]2^{-98}[/tex]
=> [tex]\frac{1}{2^{98}}[/tex]
please answer both questions with adding your work
Answer:
1- 1/3 x +3y=1
y=2/3 x-4
solution : x=39/7 , y=-2/7
3x-2y=11
-3x-y=4 solution x=1/3, y=-5
Step-by-step explanation:
1/3 x +3y=1
y=2/3 x-4
solve by substitution for y in the first equation:
1/3 x + 3(2/3 x-4)=1
1/3 x+6/3 x-12=1
7/3 x=12+1
7/3 x=13 ⇒7x=39 ⇒x=39/7=5 4/7
y=2/3 x -4
y=2/3 (39/7)-4
y=72/21 -4
y=-4/7
second problem:
3x-2y=11
-3x-y=4 solve by elimination: add two equation to eliminate x
3x-2y-3x-y=11+4
-3y=15
y=15/-3 ⇒y=-5
substitute y in one of the equations: 3x-2y=11
3x-2(-5)=11
3x+10=11
3x=11-10
x=1/3
Jenny has some tiles in a bag. The tiles are of three different colors: purple, pink, and orange. Jenny randomly pulls a tile out of the bag, records the color, and replaces the tile in the bag. She does this 50 times. The results are recorded in the given table: Color of Tile Number of times the tile is drawn
i
6 purple, 18 pink, 26 orange
i
What is the experimental probability that Jenny will pull out a purple tile?
Answer:
6/50
Step-by-step explanation:
Jenny pulled out 6 purple tiles out of the 50 trials
Answer: The experimental probability of Jenna pulling a purple tile is 6/50.
Step-by-step explanation:
In her experiment, Jenna pulled out 6 purple tiles out of the 50 total tiles she pulled. This would make the experimental probability of her pulling out a purple tiles 6/50.
Please Help!!!! Please!!! A candlemaker prices one set of scented candles at $10 and sells an average of 200 sets each week. He finds that when he reduces the price by $1, he then sells 50 more candle sets each week. A function can be used to model the relationship between the candlemaker's weekly revenue, R(x), after x one-dollar decreases in price. This situation can be modeled by the equation y = (blank)x2 + (blank) x + (blank) Thank you SO MUCH!
Answer:
[tex]y=-50x^2+300x+2000[/tex].
Step-by-step explanation:
It is given that a candle maker prices one set of scented candles at $10 and sells an average of 200 sets each week.
[tex]Revenue=10\times 200=2000[/tex]
If he reduces the price by $1,then he sells 50 more candle sets each week.
[tex]Revenue=(10-1)\times (200+50)=9\times 250=2250[/tex]
If he reduces the price by x $1,then he sells 50x more candle sets each week.
[tex]R(x)=(10-x)\times (200+50x)[/tex]
[tex]R(x)=10(200+50x)-x(200+50x)[/tex]
[tex]R(x)=2000+500x-200x-50x^2[/tex]
[tex]R(x)=-50x^2+300x+2000[/tex]
It can be written as
[tex]y=-50x^2+300x+2000[/tex]
Therefore, the situation can be modeled by the equation [tex]y=-50x^2+300x+2000[/tex].
Answer:
This situation can be modeled by the equation y = -50 x2 + 300x + 2,000 and by graph Y.
Step-by-step explanation:
Your welcum
BC=6, EF=12
Based on the given information, choose the similarity statement that you would use to say ABC~DEF. If you could NOT conclude the triangles similar, then choose NOT
A: AA
B: SAS
C: SSS
D: NOT
Answer:
C: SSS
Step-by-step explanation:
Two triangle are said to be similar if they have the same shape and proportion. This means that their angles are the same or their sides are in proportion. They are similar if:
i) All three corresponding angles are the same (AAA)
ii) All three corresponding sides are the same proportion (SSS)
iii) Two corresponding angles are equal and a side is in the same proportion (ASA)
iv) Two sides are in the same proportion and a corresponding angles are the same (SAS)
Given that:
AB = 12, BC = 6, AC = 3, DE = 24, EF = 12 and DF = 6
[tex]\frac{DE}{AB} =\frac{DF}{AC} =\frac{EF}{BC}\\\\\frac{24}{12}=\frac{6}{3}=\frac{12}{6}=2[/tex]
Since All the sides are in the same proportion, it supports the SSS rule.
Answer: SSS
I have done this assignment before
Pam bought 50 kg of sugar. She used 10 kg of sugar. What percentage of sugar was left? (step by step answer would be appreciated)
Answer:
80%
Step-by-step explanation:
50 x 50 would be 100 and 50kg=100% and 10 x 2 = 20 so you used 20% therefore you have 80% left.
Answer:
80% of sugar left.
Step-by-step explanation:
If we start of with 50 kg of sugar and we take away 10 kg of sugar, we are left with [tex]50-10=40[/tex] kg of sugar.
To find the percentage of sugar left, we divide the decreased number by the original number.
[tex]\frac{40}{50} = \frac{4}{5} = 0.8[/tex]
If we have a decimal and want to convert it to a percentage, we multiply it by 100.
[tex]0.8\cdot100=80[/tex]
So, 80% of the sugar is left.
Hope this helped!
Which of the binomials below is a factor of this trinomial? X^2+2x-63
Answer:
x+9
Step-by-step explanation:
If we use syntetic division we get that
[tex]x^2+2x-63=(x+9)(x-7)[/tex]
Answer:
(x+9)(x-7)
Step-by-step explanation:
For this trinomial, we will factor the constant at the end into 7 and 9. From here we will break down the trinomial into a binomial form.
(x + or - #) ( x + or - #)
We know that our middle value is positive so we want the larger factor to be positive, and we know our constant is negative, so we want the smaller value to also be negative, so that when multiplied together we still get back the original trinomial.
(x + 9) (x - 7) = x^2 + 9x - 7x - 63 = x^2 + 2x - 63
Cheers.
Find the output, y, when the input, x, is 666.
Answer:
y = 8
Step-by-step explanation:
The question is simply asking for the y-value when x = 6. We look at the graph when x = 6 and see what y-value it gives us. We find that when x = 6, we have y = 8.
y=4/3x-3 4x-6y=10 system of equations using substitution
Answer:
Point form (2, -1/3 Equation form: x=2, y= -1/3
Step-by-step explanation:
Combine 4/3 and x
Replace all occurrences of y in 4x−6y=10 with 4x/3 -3
Simplify 4x− 6 (4x/3 -3)
Solve for x in the second equation.
Simplify
4(2) /3−3
Write the equations after translating the graph of y = |x|:
one unit up,
Answer:
y = | x | + 1
Step-by-step explanation:
Given y then y + c represents a vertical translation of y
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Here the shift is 1 unit up, thus
y = | x | + 1
I NEED SOMEONES HELP HELP ME PLEACE
Answer:
He needs to paint 12 inches in height
and 42 inches in width
Sarah serves at a restaurant and makes 20% of what she sells as tips. Her base salary is $10.20an hour. Each hour she sells an average of $60 of food and drinks. She also makes time and a half when she works over 8 hours during a single shift. Her work week contains three 10-hour shifts, one 5-hour shift, and one 11-hour shift. Using the same income deductions as stated in the previous question, what is Sarah's annual gross income and annual net incom
Sara works 46 hours per week
9 hours are overtime and 37 hours are regular time
pay rate at time and a half: 10.20∗1.5=15.30
regular hours plus overtime pay
37∗10.20=377.40
9∗15.30=137.70
Income due to tips
Total hours worked∗60per hour∗20%
46∗60∗.20=552
Weekly Income=Hourly income + tips
Weekly Income=377.40+137.70+552.00
Weekly Income=1067.10
Annual income=Weekly income∗52
Annual income=55489.20
ASAP!!! PLEASE help me with this question! It is really urgent...
Answer:
0.987
Step-by-step explanation:
use stat on calculator
Enter the coordinates of the vertex of the graph of y=2(x+5)^2
Answer:
The vertex is ( -5,0)
Step-by-step explanation:
The vertex form of a parabola is
y = a( x-h) ^2 +k
where ( h,k) is the vertex
y=2(x+5)^2
y=2(x - -5)^2 +0
The vertex is ( -5,0)
Answer:
vertex = (- 5, 0 )
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = 2(x + 5)² , that is y = 2(x + 5)² + 0 ← is in vertex form
with (h, k) = (- 5, 0 )
In first half of a basketball game one team scored 45 points. This was 5/9 of their score for the whole game. How many points did the team score in the second half?
please help thx :)
Answer:
36
Step-by-step explanation:
45*(9/5)=81(The whole score)
81-45=36(the second half score)
Answer:
36
Step-by-step explanation:
Because you multiply 9*9=81, and then 81-45=36, Because 9*5=45, so the answer is 36.
A. 3 B. 23√3 C. 33–√ D. 63–√
Answer:
I think its A.3not sure
If a circle has a diameter with endpoints of (-3, 0) and (5, 4), then the equation of the circle is?
Parallel lines p and q are cut by transversal r. On line p where it intersects with line r, 4 angles are created. Labeled clockwise, from the uppercase left, the angles are: 1, 2, 4, 3. On line q where it intersects with line r, 4 angles are created. Labeled clockwise, from the uppercase left, the angles are: 5, 6, 8, 7. m∠3 is (3x + 4)° and m∠5 is (2x + 11)°. Angles 3 and 5 are . The equation can be used to solve for x. m∠5 = °
Answer:
77 degrees
Step-by-step explanation:
The diagram is drawn and attached below.
m∠3= (3x + 4)°
m∠5 = (2x + 11)°
Angles 3 and 5 are co-interior angles and are therefore supplementary (add up to 180 degrees).
(3x + 4)°+(2x + 11)°=180°
5x+15=180
5x=180-15
5x=165
x=33
Therefore, the measure of angle 5
m∠5 = (2x + 11)°
= (2(33) + 11)°
=66+11
=77°
The measure of angle 5 is 77 degrees.
The sand used for sanding icy roads in the winter is stored in a conical-shaped structure with a radius of 10 m and a height of 16 m. Calculate the maximum amount of sand which can be stored in this structure.
Answer:
1,675.516
Step-by-step explanation:
The formula for a cone is V = pi r^2 h/3.
Plugging in the values of the radius and height, V = pi 10^2 16/3
Solving, you get:
V = pi 100 5.3333333
V = 1,675.516
41. In the diagram, a l b. Find the value of x. 55° (x+ 70)
Answer:
55°
Step-by-step explanation:
The corresponding image, which I will attach, is missing in order to solve the exercise.
We know that the flat angle is 180 °, which we know to be the one that is formed with the horizontal, therefore the following equation remains:
55 ° + (70 ° + x °) = 180 °
we solve x °
x ° = 180 ° - 55 ° - 70 °
x ° = 55 °
So the value of x is 55 °
Sabendo que o perímetro de um polígono é obtido através da soma de todas as medidas dos seus lados, assinale a expressão que representa o perímetro da figura abaixo
Answer:
Perimeter = (4x + 12)
Step-by-step explanation:
As given in the question itself,
"Perimeter of a polygon is the sum of measures of all the sides of the polygon."
By this property expression to calculate the perimeter of the given polygon will be,
Perimeter = x + x + x + 2 + 2 + (x + 4) + 2 + 2
= 3x + 4 + (x + 4) + 4
= 4x + 12
Hence, Perimeter = (4x + 12)
What is the standard deviation of the data set {6, 8, 6, 11, 8, 8, 9}? round to the nearest tenth
Answer:
8
Step-by-step explanation:
the one that the number has are the same is the data
The standard deviation of the data set is 1.6
What is Standard Deviation?
The standard deviation is a measure of the amount of variation or dispersion of a set of values.
Here, given data
data(x) frequency(f) xf d² = (x-mean)² fd²
6 2 12 4 8
8 3 24 0 0
9 1 9 1 1
11 1 11 9 9
mean = ∑xf / ∑f
= (12+24+9+11)/(2+3+1+1)
= 56 / 7
mean = 8
Variance = ∑fd²/∑f
= 18 / 7
= 2.57
Standard Deviation = √variance
= √2.57
= 1.6
Thus, the standard deviation of the data set is 1.6
Learn more about Standard deviation from:
https://brainly.com/question/14747159
#SPJ2
The Big Telescope Company sells circular mirrors. Their largest mirrors have radii of 5 meters and their smallest mirrors have radii of 1 meter. The cost of every mirror is proportional to the cube of the mirror's radius. What is the ratio of the total cost of 25 of the company's smallest mirrors to the cost of one of the company's largest mirrors? Express your answer as a common fraction.
Answer:
The answer is 1/5
Step-by-step explanation:
(ANSWER ASAP) The table represents the multiplication of two binomials. What is the value of A?
-3x
-3x2
-5x
-5x2
By observing the table it can be concluded that the value of A must be equal to 3x × (-x)
So, the value will be -3x^2
Answer:
B on EDG
Step-by-step explanation:
Clark collected 200 fruits from his orchard. 56 of the fruits were durians and the rest were mangoes. What percentage of the fruits were mangoes?
Answer:
72%
Step-by-step explanation:
First find the number of mangoes
200 -56 = 144
Take the number of mangoes over the total
144/200
.72
Change to percent by multiplying by 100
72%
Answer:
72%
Step-by-step explanation:
If 56 of the 200 fruits were durians, then [tex]200-56[/tex] of the fruits were mangoes. Therefore, 144 of the fruits were mangoes.
Now we can set up a percentage proportion to find what percent of 200 144 is.
[tex]\frac{144}{200} = \frac{x}{100}[/tex]
Multiply the cross values and divide by the value thats diagonal to the variable.
[tex]144\cdot100=14400\\14400\div200=72[/tex]
So, the answer is 72%
Hope this helped!
Solve by the quadratic formula x^2 = 6x-4
Answer:
x=3+√5 or x=3−√5
Step-by-step explanation:
How do you graph y=3x-4 on a coordinate grid
Answer:
You can look at the screenshot
Step-by-step explanation:
So one point of the line is (0, -4) and another point is (4/3, 0). Plot these points on a graph and draw a line.
0, -4 is from making x = 0, and then 4/3, 0 is from making y = 0.
Answer:
Step-by-step explanation:
You start the question at -4 on the coordinate plane and then you would go up 3 units and 1 unit to the right since the slope of the equation 3/1. You would get your graph like that. And to go backward you would go 3 units down and 1 unit to the left.
If two digit number, the digit at unit place is
2 more the digit at tens place. If three times
the sum of digits is added to the number, the
number will be reversed. Find the number.
Answer:
24
Step-by-step explanation:
let the 2 digit number be ab then digit in unit place is 2 more than ten place
2 digit number is a a + 2 where b = a + 2.
Thus sum of digits = a + a + 2 = 2a + 2, then
ab + 3(2a + 2) = ba ← using place value of digits
10a + b + 6a + 6 = 10b + a, that is
16a + 6 + b = 10b + a ( subtract 10b + a from both sides
15a - 9b + 6 = 0 ← substitute b = a + 2
15a - 9(a + 2) + 6 = 0
15a - 9a - 18 + 6 = 0
6a - 12 = 0 ( add 12 to both sides )
6a = 12 ( divide both sides by 6 )
a = 2
Thus the number is 24
Find the cube root of 10648
Here is your answer!!!
Cube root of 10648 is 22.
Answer:
22
Step-by-step explanation:
[tex]\sqrt[3]{10648}[/tex] factors into [tex]\sqrt[3]{22^{3} }[/tex]
You then apply the radical rule: [tex]\sqrt[n]{a^{n} }[/tex]=a
In in this case a = 22