Answer:
$5,102.05
Step-by-step explanation:
Present value of the car = $21,500
Present percentage value = 100% = 1
Percentage of Depreciation per year = 25% = 0.25
Years of depreciation = 5 years
The value of the car after 5 years = Present value of the car (Present percentage value - Percentage of Depreciation per year)^Years of depreciation
= 21,500(1 - 0.25)^5
= 21,500(0.75)^5
= 21,500(0.2373046875)
= 5,102.05078125
Approximately,
The value of the car after 5 years = $5,102.05
1. You have a 14 pencils. Two pencils are red, 5 pencils are orange, 3 pencils are
green and 4 pencils are brown
f. If a pencil is picked at random, what is the probability that the pencil will be red or green or orange?
g. If a pencil is picked at random, what is the probability that the pencil will
NOT be orange?
'h. If a pencil is picked at random, what is the probability that the pencil will
NOT be blue or red?
Answer:
Step-by-step explanation:
F. 5/7 chance
G. 9/14 chance
H. You did not mention a blue color in the question.
Answer:
g) a) 11/14
f) 9/14
h) 12/14
Step-by-step explanation:
Probability is just the amount of the specified object over the total amount of objects.
Amount of Red : 2
Amount of Orange: 5
Amount of Green: 3
Amount of Brown: 4
Total: 14
*Formula: (Specified Object)/(Total)*
F) Chances of Red or Orange or Green
=(2+5+4)/14
=11/14
G) NOT be orange
*Formula: (Total)-(Specified)/(Total)*
=(14-5)/14
=9/14
H) NOT blue or red
*Formula: (Total)-(Specified)/(Total)*
=14-(2+0) (*There is a 0 there because the question asked to solve for blue pencils as well, and there are 0 blue pencils*)
= 12/14
0.008 x 2.5 in standard form is (A) 2 x 10-² (B) 2 x 10 (C) 2 x 10-¹ (D) 2 x 10²
Answer:
(D) 2 x 10²
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Hope it is helpful.....Answer:
2 × 10 ^2
Step-by-step explanation:
(d) option is correct
A factory produces wrenches. The factory wants all of its
wrenches to weigh the same, but will accept a certain level of er-
ror. The inequality below describes the error they are willing to
accept, in pounds:
Answer:
b
Step-by-step explanation:
c) The GCF and LCM of two numbers are 2 and 70 respectively. If one of the numbers is 10, find the other number? [3m] solution: of too numbers
Their LCM is
70
hope it helps you.
Answer:
Their L.C.M IS
70....
IT IS YOUR ANSWER
Find the height of the triangle
Answer:
The height is 12 cm
Step-by-step explanation:
Hi there!
We are given a triangle with the 3 sides marked as 15, 20, and 25 and we want to find the height of it (marked as x in the problem).
This problem can seem a bit difficult, but let's see if the triangle is a right triangle first off.
One way to figure out if it is a right triangle is to apply the converse of the Pythagorean theorem.
Let's label the sides, where a is the shortest side, b is the second shortest side, and c is the longest side:
a=15
b=20
c=25
Now square a and b, then add the result together. If it's the same as c squared, then the triangle is a right triangle
15²+20²=25²
225+400=625
625=625
So we can safely say that the triangle is a right triangle
This makes the problem way easier, as there are 2 ways to find the area of a right triangle:
The first way is to multiply the legs (the sides that make up the right angle) together, then divide the result by 2
The other way is to multiply the height and the hypotenuse (the side OPPOSITE to the right angle) together, and then divide the result by 2
First, we need to figure out which sides are the legs, and which side is the hypotenuse
By the triangle inequality theorem, the hypotenuse of a right triangle is the longest side, which means that the 25 cm side is the hypotenuse, and that leaves 15 cm and the 20 cm sides as the legs
So let's find the area of the triangle using the legs
A=[tex]\frac{15*20}{2}[/tex]=[tex]\frac{300}{2}[/tex]=150
So the area of the triangle is 150 cm²
However, as mentioned above, we can also find the area of the triangle by multiplying the hypotenuse by the base, then dividing the result by 2
Which means that the area is also:
A=[tex]\frac{25x}{2}[/tex] cm²
As these both equal the area of the triangle, we can set them equal to each other. This is possible via a property known as transitivity (if a=b and b=c, then a=c)
[tex]\frac{25x}{2}=150[/tex]
Multiply both sides by 2
25x=300
Divide both sides by 25
x=12 cm
So the height of the triangle is 12 cm
Hope this helps!
Evaluate the line integral 2 + x2y ds where c is the upper half of the circle x2 + y2 = 1.
Parameterize C by
r(t) = 〈x(t), y(t)〉 = 〈cos(t), sin(t)〉
with 0 ≤ t ≤ π. Then the line integral is
[tex]\displaystyle \int_C (2+x^2y)\,\mathrm ds = \int_0^\pi (2+\cos^2(t)\sin(t))\left\|\mathbf r'(t)\right\|\,\mathrm dt \\\\ = \int_0^\pi (2+\cos^2(t)\sin(t)) \,\mathrm dt = \boxed{\frac23+2\pi}[/tex]
Solve for t in terms of q, r, and s.
r = sqt
t=
Answer:
t=r/(sq)
Step-by-step explanation:
r=sqt
=> r/(sq)=t
Answer:
T= r/(sq)
Step-by-step explanation:
r= sqt
=r/(sq) =t
PLEASE I REALLY CAN'T THINK OF ANYTHING ELSE
list 2 differences between y = sin x and y = cos x
Answer:
- sin(x) is the ratio of the opposite leg to the hypotenuse in a right triangle, while cos(x) is the ratio of the adjacent leg to the hypotenuse in a right triangle.
-The graph of y = sin(x) at x = 0 starts at the origin, and then increases, while the graph of y = cos(x) starts at a max, and then decreases.
Here's a 3rd: sin(x) is the cofunction of cos(x), which means that sin(x) = cos(90-x). This also shows that they are different.
Write the Roman numeral CLXXIX in standard form.
179 is the answer
hope it helps
Answer:
179 = CLXXIX = 100 + 50 + 10 + 10 + 10 − 1
Step-by-step explanation:
Numbers close to CLXXIX
Below are the numbers CLXXVI through CLXXXII, which are close to CLXXIX. The right column shows how each roman numeral adds up to the total.
176 = CLXXVI = 100 + 50 + 10 + 10 + 5 + 1
177 = CLXXVII = 100 + 50 + 10 + 10 + 5 + 1 + 1
178 = CLXXVIII = 100 + 50 + 10 + 10 + 5 + 1 + 1 + 1
179 = CLXXIX = 100 + 50 + 10 + 10 + 10 − 1
180 = CLXXX = 100 + 50 + 10 + 10 + 10
181 = CLXXXI = 100 + 50 + 10 + 10 + 10 + 1
182 = CLXXXII = 100 + 50 + 10 + 10 + 10 + 1 + 1
Symbol Value
I 1
V 5
X 10
L 50
C 100
D 500
M 1000
I hope this helps.
Circles in the Coordinate Plane
Acellus
Complete the equation of this circle:
A
1
Answer: [tex](x-3)^2 + (y-2)^2 = 16[/tex]
Explanation:
The center of this circle is point A(3,2). These coordinates are the (h,k) values.
The radius is r = 4
Plug those three items into the template [tex](x-h)^2 + (y-k)^2 = r^2[/tex] to arrive at the final answer shown above.
In the paper airplane shown, ABCD = EFGH, M
Answer:
it should be 90 I could be wrong
32% of 300 is what number?
Answer: 96
Step-by-step explanation:
This equation helps
X / 100 = is / of
32/100 = X / 300 (cross multiplication)
32 times 300, divided by 100
= 96
Answer:
96
Step-by-step explanation:
every percent is out of hundred so (32 * 300)/100 = 96
Is it the answer option D?
Answer:
D
Step-by-step explanation:
graph it
HELP PLSSS. Combine these radicals. - 12sqrt(12) - 2sqrt(3) O - 50sqrt(3); - 22sqrt(3); - 26sqrt(3); - 10sqrt(12)
The combined radical is: [tex]- 26\sqrt{3}[/tex]
The radical is given as:
[tex]- 12\sqrt{12} - 2\sqrt{3}[/tex]
We start by expressing 12 as 4 * 3
[tex]- 12\sqrt{12} - 2\sqrt{3} = - 12\sqrt{4* 3} - 2\sqrt{3}[/tex]
Split the radical
[tex]- 12\sqrt{12} - 2\sqrt{3} = - 12\sqrt{4}* \sqrt{3} - 2\sqrt{3}[/tex]
Take square root of 4
[tex]- 12\sqrt{12} - 2\sqrt{3} = - 12*2* \sqrt{3} - 2\sqrt{3}[/tex]
[tex]- 12\sqrt{12} - 2\sqrt{3} = - 24* \sqrt{3} - 2\sqrt{3}[/tex]
[tex]- 12\sqrt{12} - 2\sqrt{3} = - 24\sqrt{3} - 2\sqrt{3}[/tex]
Combine like terms
[tex]- 12\sqrt{12} - 2\sqrt{3} = - 26\sqrt{3}[/tex]
Hence, the combined radical is: [tex]- 26\sqrt{3}[/tex]
Read more about surd radicals at:
https://brainly.com/question/14923091
Factor the expression completely.
-20% -40
A. -20(x-2)
B. -10(2x - 10)
C.-20(x + 2)
D. -10(2x + 10)
Answer:
C.-20(X+2)
Step-by-step explanation:
I think you wrote -20% by mistake instead of -20x
can you help me to do this
Answer:
keep the pic clearly
Step-by-step explanation:
keep the pic clearly
solve for x. you must show all of your work to receive credit.
Answer:
x = 6
Step-by-step explanation:
The tangent- tangent angle WVU is half the difference of the measure of the intercepted arcs. , that is
5x + 17 = [tex]\frac{1}{2}[/tex] (37x + 5 - (23x - 5) )
5x + 17 = [tex]\frac{1}{2}[/tex] (37x + 5 - 23x + 5)
5x + 17 = [tex]\frac{1}{2}[/tex] (14x + 10) ← multiply both sides by 2 to clear the fraction )
10x + 34 = 14x + 10 ( subtract 14x from both sides )
- 4x + 34 = 10 ( subtract 34 from both sides )
- 4x = - 24 ( divide both sides by - 4 )
x = 6
HELP ASAP!!
Image point N'(12, -6) was dilated from the pre-image point N(4, -2). What was the scale factor used?
A. 1/3
B. 3
c. 1/4
D. 4
Answer:
Step-by-step explanation:
I'm pretty sure its b
how do we know a given number in the radical is whether rational or irrational
number is described as rational if it can be written as a fraction (one integer divided by another integer). A number is irrational if it cannot be written as a fraction. The decimal form of an irrational number does not terminate or recur.
Can someone help me with this I don't understand find TAN
Answer:
Tan X = 14/48 = 7/24
Answered by GAUTHMATH
Answer:
7/24
Step-by-step explanation:
tan(x) is the ratio of the opposite leg to the adjacent leg. The opposite leg of x's measure is 14, and the adjacent leg to x has a measure of 48. (It's not 50 since 50 is opposite the right angle, meaning that it's the hypotenuse.)
14 / 48 = 7 / 24. Simplest form is 7/24.
HELP FAST Which solution shown bellow contains an error
Answer:
B
Step-by-step explanation:
For a line that contains the point (3, 4) and has a slope of 4, please name another point on this line. Show the work you did to find this answer.
Answer:
y = 4x - 8
Step-by-step explanation:
y = 4x + b
4 = 4(3) + b
4 = 12 + b
-8 = b
39 3,822 Whats the answer
Answer:
The answer is 98
Step-by-step explanation:
Can I get branly plz and hope this help
Find the length of y. Assume the triangles are similar.\
A. 3.6
B. 3.2
C. 3.9
D. 3.4
6,3:y=4,2:2,4
y=3,6
Chọn a
square root of 3x^4 times square root of 5x^2 times square root of 10.
Multiply and remove all perfect squares from inside the square roots. Assume x is positive.
Answer:
[tex]5x^3\sqrt{6}[/tex]
Step-by-step explanation:
We need to simplify
[tex]\sqrt{3x^4}\times\sqrt{5x^2}\times\sqrt{10}[/tex]
Right away we can take out the perfect squares. Remember a perfect square is the result of multiplying any value by itself.
[tex]= x^2\sqrt{3}\times x\sqrt{5}\times\sqrt{10} \\= x^3\sqrt{3\times 5 \times 10}\\= x^3\sqrt{3 \times 5 \times 5 \times 2 }\\= 5x^3\sqrt{6}[/tex]
The square root of 3x⁴ times square root of 5x² times square root of 10, the product of all the term is, 5x³ [tex]\sqrt{6}[/tex]
What is square root?In mathematics, square roots is a concept in which, if we multiply square roots of any number by itself then it will give us an original number.
if 'a' is square root of 'b' then it will represent as, a = √b.
Given that,
three terms,
[tex]\sqrt3{x^{4} }[/tex]
[tex]\sqrt{5x^{2} }[/tex]
[tex]\sqrt{10}[/tex]
by multiplying all the three terms,
⇒ [tex]\sqrt3{x^{4} }[/tex] × [tex]\sqrt{5x^{2} }[/tex] × [tex]\sqrt10} }[/tex]
⇒ √(3x⁴×5x²10)
⇒ √ 150x⁶
⇒ 5x³ [tex]\sqrt{6}[/tex]
Hence, the product is 5x³ [tex]\sqrt{6}[/tex]
To know more about square root check:
https://brainly.com/question/29286039
#SPJ2
Find the equation of the line that
is parallel to y = 4x + 1 and
contains the point (1, 1).
y = [? ]X + [ ]
Answer:
y = 4x - 3
Step-by-step explanation:
A parallel line will have the same slope so the slope will remain 4. To fine the new y-intercept, we can substitite the point we are given.
1 = 4(1) + b
1 = 4 + b
-3 = b
Now, we can create the new equation with the information we found.
y = 4x - 3
Best of Luck!
Answer: y = 4x - 3
Step-by-step explanation:
y-y=m(x-x)
y-1=4(x-1)
y-1=4x-4
y=4x-3
evaluate the following 3^2 divided by (2+1)
Answer:
God bless you
i don't have nice handwriting
Is it ok if you help me solve this?
Answer:
For it to be parallel the answer is B (3)
Answer:
B) 3
Explanation:
If two lines are parallel that means that their equations have the same value of slope.
plz answer quick!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
[tex]144\pi[/tex]cm
multiple 24 pi with 6 on a scientific calculator.
Answer:
4pi
Step-by-step explanation:
that is the procedure above
insert 3 rational no. between 4/13 and 1/13
Answer:
2/13,3/13,4/13....
hope it helps
Answer:
Step-by-step explanation:
4/13=40/130
1/13=10/130
numbers between 10/130 and 40/130 are 11/130,12/130,13,130 ,...,39/130.
we can select any three out of these.
