9514 1404 393
Answer:
$2398.20
Step-by-step explanation:
Perhaps you want the monthly payment. It is given by the amortization formula ...
A = P(r/n)/(1 -(1 +r/n)^(-nt))
where P is the principal amount, r is the annual interest rate, n is the number of payments per year, t is the number of years.
Your monthly payment will use P = 400,000; r = 0.06, n = 12, t = 30.
A = $400,000(0.06/12)/(1 -(1 +0.06/12)^(-12·30)) ≈ $2398.20
Determine the equation for a line that passes through the point M(-7, 3) and
perpendicular to 7x − 2y + 3 = 0. Show your complete work.
Answer:
y = 2x/7 + 5
Step-by-step explanation:
the first line is defined by
7x - 2y + 3 = 0
in the most common way to write this we need an equation like y = ...
so, we isolate the y-expression in the equation :
2y = 7x + 3
y = (7x + 3) / 2 = 7x/2 + 3/2
the factor of x is the slope of the line, which is expressed by the y/x ratio indicating how many units y will change, when x changes e.g. 1 unit.
7/2 means that y will change by 7 units for every change in x by 2 units.
the slope of a perpendicular line is inverse to the slope of the original line, which means x and y are simply trading places (original x / original y).
so, the perpendicular slope of 7/2 is 2/7 (when x changes by 7 units, then y changes by 2 units).
that means the equation for the perpendicular line is something like
y = 2x/7 + c
the c we determine by using the coordinates of the given point (x and y values).
3 = 2×(-7)/7 + c = 2×(-1) + c = -2 + c
c = 5
so, the complete equation of the perpendicular line is
y = 2x/7 + 5
Every week a company provides fruit for its office employees. They can choose from among five kinds of fruit. What is the probability distribution for the 30 pieces of fruit, in the order listed? Fruit Apples Bananas Lemons Oranges Pears 6 9 2 8 5 Number of pleces Probability O A. 1, 1 3 1 4 1 5 10 15 15 6 ОВ. 1 I 4 2 5 10 3° 15' 15 c. bot , 1 OD. 1 1 1 4 2 • 15. 5. 15 15
Answer:
A? maybe i dont know dont quote me on that
Step-by-step explanation:
The Probability distribution is
Apples =1/5
Bananas = 3/10
Lemons = 1/15
Oranges = 4/15
Pears = 1/6
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Total Fruits = 30
Now, the probability distribution for the 30 pieces of fruit is
Apples = 6/30
= 1/5
Bananas = 9/30
= 3/10
Lemons = 2/30
= 1/15
Oranges = 8/30
= 4/15
Pears = 5/30
= 1/6
Learn more about Probability here:
https://brainly.com/question/30034780
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Determine the intercepts of the line
X_______
Y_______
Answer:
-250, and 100
Step-by-step explanation:
The intercepts of the line are the points where line intersects the x-axis and y-axis .
the x intercept is at point (-250, 0)
the y intercept is at point (0, 100)
Rachel is solving the system of equations below by using the elimination method. Which of the following steps could she use? 7x-21y=14. 2x+3y=11
Answer:
[tex]7x - 21y = 14 - - - (a) \\ 2x + 3y = 11 - - - (b) \\ (a) + 7 \times (b) : \\ 21x + 0y = 91 \\ x = 4.33 \\ (2 \times 4.33) + 3y = 11 \\ 3y = 2.34 \\ y = 0.78 \\ { \boxed{x = 4.33}} \\ { \boxed{y = 0.78}}[/tex]
What substitution should be used to rewrite x ^ 8 - 3x ^ 4 + 2 = 0 as a quadratic equation?
Answer:
Let m= x^4
m^2 -3m +2 = 0
Step-by-step explanation:
x ^ 8 - 3x ^ 4 + 2 = 0
Let m= x^4
m^2 -3m +2 = 0
There’s 2 arcade areas and 1 swimming pool. What is the arcade area to swimming pool ratio?.
Answer:
Yeah, the person above me is right. It's 2:1
Step-by-step explanation:
There are 2 arcade areas and 1 swimming pool. the arcade area to swimming pool ratio is 2: 1.
What is the ratio of two quantities?Suppose that we've got two quantities with measurements as 'a' and 'b'
Then, their ratio(ratio of a to b) a:b
or
[tex]\dfrac{a}{b}[/tex]
Remember that the ratio should always be taken of quantities with same unit of measurement.
Also the ratio is a unitless(no units) quantity.
There are 2 arcade areas and 1 swimming pool.
The arcade area to swimming pool ratio is 2: 1.
Learn more about ratios here:
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PLEASE HELP I WILL GIVE BRAINLIEST AND 50 POINTS!!!
The following function represents the value of a truck, in dollars, after x years:
f(x) = 29,000(0.88)x
What does 0.88 represent?
The decrease in the value of the truck, which is 12%
The present value of the truck
The value of the truck after x years
The decrease in the value of the truck, which is 88%
Answer:
The decrease in the value of the truck, which is 12%
Step-by-step explanation:
f(x) = 29,000(0.88)^x
This is an exponential function of the form
y = ab^x
a is the initial value
b is the growth(decay) rate
x is the time
Since b is less than 1, we know it is decay
To find the rate
1-b = rate
1-.88 = .12
The decay rate is .12*100% = 12 %
Answer:
its A:The decrease in the value of the truck, which is 12%
Step-by-step explanation:
i got this correct
I WILL GIVE BRAINLIEST TO THE BEST AND CORRECT ANSWER
Choose all the statements that are true.
1. 15 pt<2 gal
2. 1 gal<5 qt
3. 12 fl oz> 2 c
4. 2 qt 1 c>10 c
5. 20 pt = 10 qt
Answer:
the answer should be 3 and 5 :)
Step-by-step explanation:
the answer speaks for itself
What is the volume of a gift box in the shape of a rectangular prism that is 3.5 inches high, 7 inches long, and 6 inches wide
Answer:
147 cubic inches
Step-by-step explanation:
volume of the prism is length x breadth x height
3.5 x 7 x 6=147
A point with a positive x-coordinate and a negative y-coordinate will lie in which quadrant?
A. Quadrant I
B. Quadrant II
C. Quadrant III
D. Quadrant IV
A paint machine dispenses dye into paint cans to create different shades of paint. The amount of dye dispensed into a can is known to have a normal distribution with a mean of 6 milliliters (ml) and a standard deviation of 0.4 ml. Find the dye amount that represents the 90th percentile (i.e. 90%) of the distribution.
a. 4.464 ml.
b. 4.836 ml.
c. 4.936 ml.
d. 4.964 ml.
e. 5.536 ml.
Answer:
The 90th percentile of the distribution is 6.512 ml.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 6 milliliters (ml) and a standard deviation of 0.4 ml.
This means that [tex]\mu = 6, \sigma = 0.4[/tex]
Find the dye amount that represents the 90th percentile (i.e. 90%) of the distribution.
This is X when Z has a p-value of 0.9, so X when Z = 1.28. Then
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{X - 6}{0.4}[/tex]
[tex]X - 6 = 1.28*0.4[/tex]
[tex]X = 6.512[/tex]
The 90th percentile of the distribution is 6.512 ml.
what's the GCF for the pair of numbers. 27, 45
i only need the answer
Answer:
9 is the answer
Step-by-step explanation:
Suppose f(x) = – 22 – 4x + 2 and g(x) =
42? +52 +5.
(f +9)(2) =
Answer:
[tex](f + g)(2) = 21[/tex]
Step-by-step explanation:
[tex]f(x) = -x^2 - 4x +2[/tex]
[tex]g(x) = 4x^2 + 5x + 5[/tex]
Required
[tex](f + g)(2)[/tex]
This is calculated as:
[tex](f + g)(2) = f(2) + g(2)[/tex]
Where:
[tex]f(2) = -2^2 - 4*2 +2 = -10[/tex]
[tex]g(2) = 4*2^2 + 5*2 + 5 = 31[/tex]
So:
[tex](f + g)(2) = f(2) + g(2)[/tex]
[tex](f + g)(2) = -10 + 31[/tex]
[tex](f + g)(2) = 21[/tex]
king monatla surprised his wife on birthday by buying her 55 inch television set.the repayment period is 36 months and the monthly installment is R570,00
write down the item number of the television
Answer:
The final price of the television set is $ 20,520.
Step-by-step explanation:
Given that King Monatla surprised his wife on birthday by buying her a 55 inch television set, and the repayment period is 36 months and the monthly installment is $ 570.00, to determine the final price of the television set the following calculation must be performed:
570 x 36 = X
20.520 = X
Therefore, the final price of the television set is $ 20,520.
What is in the shape of a triangular pyramid and has a height of 10 inches the area of the base of the container is 12 in.² what is the volume of the figure actually inches
Answer:
60 cubic inches
Step-by-step explanation:
if its a triangle you have to divide it by 2 because its half of a square so its half of an answer so in this case you multiply 10 and 12 which gets you 120 divide that by 2 you get 60 and that's your answer.
Help PLSSS!!!!! I will give brainlyest!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: 17 1/2 or decimal form = 17.5
Step-by-step explanation: Hope this helped!
Answer:
17.5 Statues im pretty sure.
Step-by-step explanation:
7/8 divided by 1/20
A spring with a 10-kg mass and a damping constant 15 can be held stretched 1 meters beyond its natural length by a force of 2 newtons. Suppose the spring is stretched 2 meters beyond its natural length and then released with zero velocity. In the notation of the text, what is the value c^2 - 4mk? _________ m^2 kg^2/sec^2.
Find the position of the mass, in meters, after t seconds. Your answer should be a function of the variable t of the form c_1 e^alpha t + c_2 e^beta t where alpha = (the larger of the two) beta = (the smaller of the two) c_1 = _______c_2 =______.
Answer:7.5=−k(2.5)−7.52.5=kma=−7.5x2.5my′′+9y′+−3y=0,y(0)=2.5,y(5)=0−9±81+4(m)(3)−−−−−−−−−−−√2m−92m±81+12m−−−−−−−−√2my=Ae−(9/2)xcos(81+12m−−−−−−−−√2mx)+Be−(9/2)xsin(81+12m−−−−−−−−√2mx)2.5=A+B⋅00=(2.5)e−45/2cos(81+12m−−−−−−−−√52m)+Be−45/2sin(81+12m−−−−−−−−√52m)
Step-by-step explanation:
how to calculate the circumference of a circle whose radius is 12cm
Answer:
75.4cm
Step-by-step explanation:
To calculate the circumference, you need the radius of the circle:
Multiply the radius by 2 to get the diameter.
Multiply the result by π, or 3.14 for an estimation.
That's it; you found the circumference of the circle.
Answer:
C ≈ 75.4 cm
Step-by-step explanation:
[tex]2\pi r[/tex]
2 × 3.14 × 12
C ≈ 75.4 cm
Simplify equations HELP NOW!!
Answer:
[tex]\frac{1}{5} (2x+10)=4[/tex] [tex]x=5[/tex]
[tex]\frac{1}{3} (3x+9)=9[/tex] [tex]x=6[/tex]
Step-by-step explanation:
[tex]\frac{1}{5} (2x+10)=4[/tex]
Multiply both sides of the equation by 5.
5 · [tex]\frac{1}{5}[/tex] · [tex](2x+10)=[/tex] 5 · 4
Simplify both sides of the equation.
[tex]2x+10=20[/tex]
Subtract 10 from both sides of the equation.
[tex]2x=10[/tex]
Divide each term by 2 and simplify.
[tex]x=5[/tex]
--------------------------------------------------------------------
[tex]\frac{1}{3} (3x+9)=9[/tex]
Substitute x for 6
[tex]\frac{1}{3} (3(6)+9)=9[/tex]
Multiply 3 · 6
[tex]\frac{1}{3} ((18)+9)=9[/tex]
Add 18 + 9
[tex]\frac{1}{3} (27)=9[/tex]
Divide [tex]\frac{1}{3}[/tex] ÷ 27
9 = 9
The following table shows a proportional relationship between j and m.
Answer:
[tex]j = \frac{3}{4} m[/tex]
Step-by-step explanation:
[tex]4j = 3m[/tex]
Divide both sides by 4 and you get the answer :)
Using the proper terminology, how would you explain and visually demonstrate that this is not always the case.
Answer:
you drew to much on it
Step-by-step explanation:
Find the perimeter of the figure below, in feet.
8.eft
6.6 ft
16.6A
6.6 ft
6.6 ft
eft
2 ft
6.6 ft
6.6 ft
12.4ft
12.4ft
8.2 ft
Answer:
not entirely sure but my answer is 87.6ft.
for the perimeter of the shape.
Step-by-step explanation:
I cut out the extra square-ish pieces of the sides and found
that both are 17.2 for their perimeter. so 17.2×2= 34.4
then I found the perimeter of the sides of the rectangular shape and the sides were both 18.4ft. so 2(18.4+8.2)= 53.2.
so 53.2+34.4 = 87.6ft.
15 POINTS (08.01) The graph shows two lines, A and B.
How many solutions are there for the pair of equations for lines A and B? Explain your answer.
What is the sum of the given polynomials in standard form? (x2 - 3x) + (-222 + 5x - 3) 0 -37 + 8x - 3 0-22–2x-3 o 3,2 - 8x + 3 o 2 + 2-3
Answer:
-x^2+2x-3
Step-by-step explanation:
(x^2 - 3x) + (-2x^2 + 5x - 3)
Combine like terms
-x^2+2x-3
Answer:
The fourth answer
Step-by-step explanation:
What is the sum of the given polynomials in standard form? (x2 - 3x) + (-222 + 5x - 3) 0 -37 + 8x - 3 0-22–2x-3 o 3,2 - 8x + 3 o 2 + 2-3
The fourth answer
The area of a rectangle is represented by 12n2 - 19n - 21. If the width is 3n - 7, which expression represents the perimeter?
A. 7n - 4
B. 7n+4
C. 14n -8
D. 14n +8
Answer:
C 14n - 8
Step-by-step explanation:
rectangle area = length×width = 12n²-19n-21
width = 3n-7
what do we need to multiply with width to get the full area expression ?
think : what do we need to multiply with 3n to get 12n² (4n)?
and what to multiply with -7 to get -21 (3)?
=> length = 4n+3
perimeter is 2×length + 2×width
p = 2(3n-7) + 2(4n+3) = 6n-14+8n+6 = 14n-8
THE graph of f(x), shown below has the same shape as the graph of G(x)=3x^2, but it is shifted down 1 unit, what is the equation
Answer:
[tex]3x^2-1[/tex]
Step-by-step explanation:
Factor.
x*2+11x+28
please give me the answer
Answer:
(x+4)(x+11)
Step-by-step explanation:
x^2+11x+28
What two numbers multiply to 28 and add to 11
4*7 =28
4+11
(x+4)(x+11)
Answer:
(x + 4)(x + 11)
I agree with wegner
bye
Find the measure of c in the figure below using the side lengths given
Answer:
Step-by-step explanation:
take angle C as reference angle
using tan rule
tan C=oppposite/adjacent
tan C=6/12
tan C=0.5
C=[tex]tan^{-1}[/tex]0.5
C=26.6 degree
Help ASAP. Like right now
1/5=2/10
4/6=2/3
2/8=1/4
A medical equipment industry manufactures x-ray machines. The unit cost C( the cost in dollars to make each x -ray machine) depends on the number of machines made. If x machines are made, then the unit cost is given by the function C(x)=0.2x^2-100x+31,146.what is the minimum unit cost.
Answer:
18,646
Step-by-step explanation:
>you can graph the equation on a calculator and see that the minimum is at the point (250, 18646) , so the minimum unit cost is 18,646
>you can use the first derivative to find the minimum
c'(x) = (0.2x²-100x+31,146)' = .4x -100
.4x-100= 0 , so x= 250
c(x=250) = 0.2(250)² -100*250 +31,146 =18,646