Answer:
$1,440
Step-by-step explanation:
Given:
Borrowed amount by west company from valley bank = $48,000
Interest is paid annually = 9% per year
Time period = From 1st September to 31st December
= 4 months
The note issued by West carried an 18-month term.
Therefore,
Interest expense = Principal amount × Rate × Time period
= $48,000 × 9% × (4 ÷ 12)
= $48,000 × 0.09 × (1 ÷ 3)
= $1,440
Therefore, the amount of interest expense that will be reported on West's income statement for Year 1 is $1,440.
what is the answer for 4|x+7|=16
Answer:
-3
Step-by-step explanation:
hope it helps
Evelyn swimming pool requires 3 quarts of a bacterial cleaning agent five times a month how many gallons of this agent will Evelyn use during June July August?
Answer:
180 litres
Step-by-step explanation:
Quart: 1.1 litre
3 quarts used every 1 time its cleaned
cleaned 5 times 1 month
5 x 3=15
12 months in a year 15 x 12 = 180
A vertical pole, 75 feet tall, casts a shadow onto the ground. If the angle of elevation from the tip of the shadow on the ground to the top of the pole is θ=60∘, use the dimensions given to find the length of the shadow, a, to the nearest tenth of a foot. (Do not include units in your answer)
The length of the shadow, h, to the nearest tenth of a foot is 86.6feet
To get the length of the shadow from the given question, we will use the trigonometry SOH CAH TOA
The required setup will give a right-angled triangle.
If a vertical pole, 75 feet tall, casts a shadow onto the ground, the opposite side of the triangle as shown will be 75 feet
The angle of elevation is 60 degrees
The length of the shadow will be the hypotenuse of the triangle as shown:
According to the trigonometry identity:
[tex]sin \theta = \frac{opp}{hyp}\\sin60^0 = \frac{75}{h}\\h = \frac{75}{sin60^0}\\h =\frac{75}{0.8660}\\h= 86.6feet[/tex]
Hence the length of the shadow, h, to the nearest tenth of a foot is 86.6feet
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Problem Solving REAL WORLD 1. James got 3 hits in each of his baseball games. He has played 4 baseball games. How many hits has he had in all?
i need you to explain the answer please and thank you!!
Answer: January, because negative numbers are positive numbers' opposite; so -11.4 < -10.4
State the slope for the equation.
y=5x+8
Enter you answer in the box.
Slope: m=
Answer:
Step-by-step explanation:
The y-intercept of the equation is -8.
You can test this by making X = 0 and solving algebraically. Similarly, if you make y = 0, you can solve the X value. This means X = 8/5
Co-ordinates (8/5, -8)
Find the area of the surface.
The part of the sphere
x2 + y2 + z2 = 81
that lies above the plane
z = 4.
Parameterize this surface by
r (u, v) = 9 cos(u) sin(v) i + 9 sin(u) sin(v) j + 9 cos(v) k
with 0 ≤ u ≤ 2π and 0 ≤ v ≤ arccos(4/9)
See the attached sketch to see how we arrive at the upper limit for v.
Take the normal vector to the surface to be
n = ∂r/∂u × ∂r/∂v
n = -81 cos(u) sin²(v) i - 81 sin(u) sin²(v) j - 81 sin(v) cos(v) k
which has magnitude
||n|| = 81 sin(v)
Then the surface area is
[tex]\displaystyle \iint_S \|\mathbf n\| \,\mathrm du\,\mathrm dv = 81 \int_0^{2\pi} \int_0^{\arccos(4/9)} \sin(v)\,\mathrm dv\,\mathrm du \\\\ = 162\pi \int_0^{\arccos(4/9)} \sin(v)\,\mathrm dv \\\\ = -162\pi (\cos\left(\arccos\left(\frac49\right) - \cos(0)\right) \\\\ = 162\pi \left(1 - \dfrac49\right) \\\\ = \boxed{90\pi}[/tex]
If you're not familiar with surface integrals, you can instead use what's sometimes called the projection method. Let
z = f(x, y) = √(81 - x ² - y ²)
(where we take the positive square root because we're looking at a part of the top half of the sphere)
Projecting the surface down onto the (x, y)-plane, we see that it casts a "shadow" of a disk with radius √(9² - 4²) = √65. (Use the Pythagorean theorem to solve for the missing side of the triangle in the sketch.)
Then the surface S considered above is hovering over the set in the (x, y)-plane,
D = {(x, y) : x ² + y ² ≤ 65}
The area is then
[tex]\displaystyle \iint_D \sqrt{1 + \left(\dfrac{\partial f}{\partial x}\right)^2 + \left(\dfrac{\partial f}{\partial y}\right)^2} \,\mathrm dx\,\mathrm dy[/tex]
It's easier to compute this integral in polar coordinates, so we take
x = r cos(t )
y = r sin(t )
dx dy = r dr dt
and the region D is given by the set
{(r, t ) : 0 ≤ r ≤ √65 and 0 ≤ t ≤ 2π}
Then the integral would be
[tex]\displaystyle \iint_D \sqrt{1 + \left(\dfrac{\partial f}{\partial x}\right)^2 + \left(\dfrac{\partial f}{\partial y}\right)^2} \,\mathrm dx\,\mathrm dy = \iint_D \sqrt{1 + \frac{x^2+y^2}{81-x^2-y^2}}\,\mathrm dx\,\mathrm dy \\\\ = \iint_D \sqrt{\frac{81}{81-x^2-y^2}}\,\mathrm dx\,\mathrm dy \\\\ = \int_0^{2\pi} \int_0^{\sqrt{65}} r \sqrt{\frac{81}{81-r^2}}\,\mathrm dr\,\mathrm dt[/tex]
Substitute s = 81 - r ² and ds = -2r dr :
[tex]\displaystyle \int_0^{2\pi} \int_0^{\sqrt{65}} r \sqrt{\frac{81}{81-r^2}}\,\mathrm dr\,\mathrm dt = 2\pi \int_0^{\sqrt{65}} r \sqrt{\frac{81}{81-r^2}}\,\mathrm dr \\\\ = -9\pi \int_{81}^{16} \frac{\mathrm ds}{\sqrt s} \\\\ = 9\pi \int_{16}^{81} s^{-1/2}\,\mathrm ds \\\\ = 18\pi \left(\sqrt{81} - \sqrt{16}\right) \\\\ = \boxed{90\pi}[/tex]
solve pls brainliest
Answer:
36-9w or -9w+36
Step-by-step explanation:
Distributive Property - a(b-c) = ab-ac
Using that, we have-
9(4-w) = 9(4) - 9(w) = 36-9w
Answer = 36-9w or -9w+36
Thank you! Please Mark Brainliest! :)
Answer:
36-9w
Step-by-step explanation:
9*4=36
9*w=9w
36-9w
burberry men's watch cost $425 markup 200% dollar markp selling price
Cost $425.00
Markup 200 %
Revenue $1,275
Profit $850
To find markup percentage, businesses use the markup percentage formula:
Markup Percentage = (Markup / Cost) x 100% Determine markup. Markup is the difference between selling price and cost:
Markup = Selling Price - Cost. Divide markup by cost. ...
Markup Percentage = (Markup / Cost) Convert to a percentage.
Area of a square is 81cm. Find the perimeter in cm.
Answer:
36 cm
hope it helps have a great day
Given g(x) = 2x + 5, find g(1).
Step-by-step explanation:
The value of g is already given. Replace g by 1 and find the value of x which is a negative two. After that, substitute and find that g is indeed equal to 1.
thankyou
Find the area of this rectangle.
Write your answers in simplest form.
Answer:
7 1/7 square mm
Step-by-step explanation:
Convert the two mixed numbers into improper fractions ( 3 1/3= 10/3 and 2 1/7= 15/7) and multiply, which gives the answer as 50/7, and then, convert them into mixed numbers again, which is 7 1/7 square mm.
What is the answer to these questions?
Answer:
1) 8 3/5
2) Option 3
Let A = {x : 2x² + 3x - 2 = 0} and B = {x : x² + 3x - 4 = 0 } find (A U B) × (A Π B)
Given :
A = {x: 2x² + 3x - 2 = 0 } B = {x : x² + 3x - 4 = 0 }To find :
(A U B ) × (A Π B )Solution :-
The first set is ,
A ={x : 2x² + 3x - 2 = 0}Solving the Quadratic equation ,
2x² + 3x - 2 = 0 2x² + 4x - x - 2 = 0 2x( x + 2) -1( x + 2 ) = 0(2x -1) ( x + 2) = 0 x = 0.5 , -2Hence ,
A ={0.5, -2}The second set is ,
B ={ x :x² + 3x - 4 = 0 }Solving the Quadratic equation ,
x² + 3x - 4 = 0 x² + 4x - x - 4 = 0 x( x + 4)-1 ( x +4) = 0 (x + 4) ( x -1) = 0 x = 1 , -4Hence ,
B ={1,4}Now ,
A U B = { 0.5 , 1 , 4 , -2} A Π B = {∅ }Since AΠ B is a null set , hence ,
A × B = {∅}Suppose 1.5 liters of water come out of a faucet each minute. For how many minutes was the faucet on if 18.6 liters of water came out?
Answer:
It was on for 12.4 minutes
Step-by-step explanation:
Answer:
12.4
Step-by-step explanation:
rate of water = 1.5x
x = amount of time
18.6 = 1.5x
x = 12.4
"8% of a number is 20."
Answer: 250
Step-by-step explanation:
7 and a number equals 21
Answer:
7x3=21
Step-by-step explanation:
7+7+7=21, 7x3=21
1/12 * n^3 =
how do you multiply these together
Answer:
(n^3)/12
Step-by-step explanation:
1/12 * n^3
= (n^3)/12
Answer:
[tex]\sqrt[3]{\frac{1}{12} }[/tex] * n
Step-by-step explanation:
You want to get the n alone. In order to do that, you need to get rid of the 3rd power. The opposite of a power is a radical. So do:
[tex]\sqrt[3]{\frac{1}{12} }[/tex] * [tex]\sqrt[3]{n^3}[/tex]
This cancels out the n and turns the problem into:
[tex]\sqrt[3]{\frac{1}{12} }[/tex] * [tex]n[/tex]
I can't solve for n since I haven't been given the entire problem (what they're equal to), but you can solve for [tex]\sqrt[3]{\frac{1}{12} }[/tex].
The coordinates of the vertices of □PQR are (-2,5), Q(-1,), and R(7,3). Determine whether □ PQR is a right triangle. Show Your Work. ( Will Mark Brainliest and please Do Not Repost Someone Else's Answer On Here.
Answer:
Slope of PQ
m
r
=
y
Q
−
y
P
x
Q
−
x
P
=
1
−
5
−
1
−
(
−
2
)
=
−
4
Slope of QR
m
p
=
y
R
−
y
Q
x
R
−
x
Q
=
3
−
1
7
−
(
−
1
)
=
1
4
Slope of RP
m
q
=
y
R
−
y
P
x
R
−
x
P
=
3
−
5
7
−
5
=
−
1
Since slopes PQ & PR,
m
r
=
−
1
m
p
, it's a right triangle
Light travels at a speed of $1.9\ \times\ 10^5$ miles per second. How far, in miles, does light travel in $30$ seconds?
9514 1404 393
Answer:
5.7×10^6 mi
Step-by-step explanation:
(1.9×10^5 mi/s) × (3.0×10^1 s) = 5.7×10^6 mi
_____
Additional comment
When I can see that the product will have a mantissa that has a value greater than 10 or less than 1, I like to adjust the factors so the mantissa of the product comes out in the range 1-10. Here, we could adjust 1.9 to 0.19, or 30 to 3.0. We chose the latter.
Moving the decimal point of 30.0 1 place to the left means we increase the corresponding exponent by 1 (from 0 to 1). 30.0×10^0 = 3.00×10^1
(01.02 MC)The number line shows the distance in meters of two jellyfish, A and B, from a predator located at point X:
Write an expression using subtraction to find the distance between the two jellyfish. (5 points)
Show your work and solve for the distance using additive inverses. (5 points)
not 100% sure since you didnt show us an image
we change this number 1.5=15/10=3/1 and 0.5=5/10=1/2
it will show on the number line!
The expression using subtraction to find the distance between the two jellyfish is 0.5 - (-1.5).
The distance between the two Jellyfish is 2.
We have,
The point of A on the number line: -1.5
The point of B on the number line: 0.5
Now,
To find the distance between the two jellyfish.
= B - A
= 0.5 - (-1.5)
= 0.5 + 1.5
= 2
Thus,
The expression using subtraction to find the distance between the two jellyfish is 0.5 - (-1.5).
The distance between the two Jellyfish is 2.
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George has steak and chicken in the freezer. The temperature of the steak is -5.7°C, and the temperature of the chicken is -5.7°C. Which of the following is true?
A.
steak's temperature < chicken's temperature
B.
steak's temperature > chicken's temperature
C.
steak's temperature = chicken's temperature
Answer: The answer is steak's temperature = chicken's temperature since they are both -5.7°C
Find the coordinates of point U.
A. (1.2, 0.4)
B. (1.4, 0.4)
C. (2.4, 0.4)
D. (0.4, 1.4)
Answer:
B（1.4,0.4）
write x axis then y axis
it have 5line between 1 and 2
so 1/5＝0.2
one line mean0.2
Answer:
B（1.4,0.4）
write x axis then y axis
it have 5line between 1 and 2
so 1/5＝0.2
one line mean0.2
calculate the value of x and y
Answer:
How
Step-by-step explanation:
You want to put picture in
Help help please please
Step-by-step explanation:
s=9×8/6
s=12.
hope this helps you.
Answer: 12
Step-by-step explanation:
using ratio;
[tex]\frac{6}{9}=\frac{8}{x}[/tex]
[tex]\frac{2}{3}=\frac{8}{x}[/tex]
[tex]x=\frac{(8)(3)}{2}[/tex]
[tex]x=\frac{24}{2}[/tex]
[tex]x=12[/tex]
please give me a brainliest answer
solve the system x-y=5 and 4x-5y+17
Answer:
Step-by-step explanation:
x = 3
7=2
3-2=5
slope is 4/5
The radius is 7. Find the circumference of p. Leave your answer in terms of pi.
Answer:
Step-by-step explanation:
Hi there!
According to the question;
radius (r) = 7
We know,
Circumference (c) = 2πr
= 2π * 7
= 14π
Therefore the circumference of p is 14π.
Hope it helps!
Answer:
C.
Step-by-step explanation:
Sociologists say that 85% of married women claim that their husband's mother is the biggest bone of contention in their marriages (sex and money are lower-rated areas of contention). Suppose that six married women are having coffee together one morning. Find the following probabilities. (Round your answers to three decimal places.)
(a) All of them dislike their mother-in-law.
Incorrect: Your answer is incorrect.
(b) None of them dislike their mother-in-law.
(c) At least four of them dislike their mother-in-law.
(d) No more than three of them dislike their mother-in-law.
The probability is equal to 0.9788.
We have given that,
Sociologists say that 85% of married women claim that their husband's mother is the biggest bone of contention in their marriages (sex and money are lower-rated areas of contention). Suppose that six married women are having coffee together one morning.
We have to find the probability
Probability all dislike is
[tex]0.85^8= 0.27[/tex]
What is the probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.
The probability that none dislike is,
[tex]0.15^8= 2.6 \times 10^{(-7)}[/tex]
At least 5 dislike
5 dislike 8C5
[tex](0.85)^5(0.15)^3= 0.0839[/tex]
6 dislike 8C6
[tex](0.85^6 0.15)^2= 0.2376[/tex]
7 dislike
[tex]8*(0.85^7) (0.15)=0.3848[/tex]
8 dislike
[tex]0.85^8= 0.2725[/tex]
Therefore the probability is equal to 0.9788.
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8 × 4/8 =
patulong po
Answer:
4
Step-by-step explanation:
the answer is 4
yep it is because eight cancels out with the other one
Answer:
(8 × 4)/8
so answer=4
PLS HELP I ONLY HAVE 5 MIN
Answer:
I know this isn't really help but Desmos is a good place to help you with stuff like this.
Answer:
y-intercept = 34/5 (6.8), eqn, y = 0.4x +0.6
Step-by-step explanation:
Slope (m) = 0.4
(8-y)/(3-x) = o.4
8-y = 1.2 - o.4x
6.8 - y = -0.4x
y = 0.4x + 6.8
From y = mx + c , where c is the y-intercept
hence 6.8