Answer:
16400$
Step-by-step explanation:
Persent invest value= 4100$
Compound intrest rate=8.5% or 0. 085 (annual)
Time period =17 years
According to compound interest formula
Future valve (fv) =persent value(pv) (1+r)^n
Substitute all values
Fv=4100$(1+0.085)^17
Fv=4100$(1.085)^17
Fv=4100 * 4.00
Fv= 16400 $ answer
The hypotenuse of a right triangle is 9[tex]\sqrt{2}[/tex] cm, and the shorter leg is 9 cm. Find the length of the other leg.
Answer:
9 cm
Step-by-step explanation:
If you were to imagine this right triangle, you would find it to be a 45 - 45 - 90 triangle. Perhaps the " shorter leg " piece of information was present to trick you, considering that the legs are congruent by converse to base angle theorem.
How is this triangle a 45 - 45 - 90? In such a triangle, the legs can be posed as x cm, as the base angles are congruent ( 45 and 45 ), thus the legs of the triangle are congruent as well. The hypotenuse would be x√2, and as we can see -
If legs = x, Hypotenuse = x√2 = 9√2
Thus, the length of the other leg is 9 centimeters ( 9 cm )
Hope that helps!
What is the domain and range of the function y= (200/x) + 2
Answer:
Answers are below
Step-by-step explanation:
The domain of the function is all real numbers.
The range of the function is also all real numbers.
I graphed the function on the graph below.
I don’t understand what this question says, please help :(
Answer:
a(15) = 131
Step-by-step explanation:
Explicit Arithmetic Sequence Formula: an = a1 + d(n - 1)
We are given a1 and d, so plug them in:
an = 5 + 9(n - 1)
To find the 15th term, plug 15 in for n:
a(15) = 5 + 9(15 - 1)
a(15) = 5 + 9(14)
a(15) = 5 + 126
a(15) = 131
Answer:
Step-by-step explanation:
d = 9 ----> d is common difference
[tex]a_{1} = 5\\\\[/tex] ----> first term
In arithmetic sequence, the difference between two terms is constant.
to find nth term,
[tex]a_{n} = a_{1} + (n-1)d\\\\a_{15} = 5 + 14*9\\\\ = 5 + 126\\= 131[/tex]
Write 3x 1/2 in radical form
Answer:
3x^1/2 in radical form is
[tex] \sqrt{3x} [/tex]
Hope this helps you
N = Noekt
Situation:
Find the age of the bird skeleton to the neares
year
A geologist in South America discovers a
bird skeleton that contains 67% of its
original amount of C-14.
Enter the correct answer
DE
No = inital amount of C-14 (at time
t = 0)
N
= amount of C-14 at time t
K = 0.0001
t = time, in years
Answer:
Step-by-step explanation:
You wrote the formula incorrectly. It is, correctly:
[tex]N=N_0e^{-kt}[/tex]
The k has to be a negative in the formula; if it's not, the time ends up as negative, which will NEVER be the case (unfortunately, time does not go backwards).
If the skeleton contains 67% of the C-14 it contained when the bird was alive, that 67 is our "N". When the bird was alive, it contained 100% of its C-14; so[tex]N_0[/tex] is 100. We know k, e is Euler's number, and we are looking for t.
[tex]67=100e^{-.0001t}[/tex]
Begin by dividing both sides by 100 to get
[tex].67=e^{-.0001t[/tex]
To get that t out from its current exponential position, we take the natural log of both sides. We do this because 1. it's the only way to get an exponent down from that position and 2. because natural logs and e are inverses of each other; natural logs "undo" e's and e's "undo" natural logs.
[tex]ln(.67)=ln(e^{-.0001t})[/tex] Again, because e and ln undo each other:
ln(.67) = -.0001t and solve for t. Take the natural log of .67 on your calculator and get
-.4004775666 = -.0001t and
t = 4004.7 years
You have a wire that is 50 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The other piece will be bent into the shape of a circle. Let A represent the total area of the square and the circle. What is the circumference of the circle when A is a minimum
Answer:
88.6647727273 cm²
Step-by-step explanation :
The perimeter of the square =(50/2)
= 25 cm
∴ Side of the square = (25/4)
= 6.25 cm
∴ Area of of the square = (6.25)²
= 39.0625 cm²
The circumference of the circle =(50/2)
= 25 cm
∴ 2πr = 25
⇒ r = 25/(22/7)(2)
Area of the circle = (22/7) { 25/(22/7)2} {25/(22/7)2}
= (25×25×7) / (2×2×22)
= 4365/88
= 49.6022727273 cm²
∴ Total area of the circle and the square =(49.6022727273+39.0625000000)
= 88.6647727273 cm²
Hope it helped
If yes mark BRAINLIEST!
pleaseee help! i need the answer for x (look at picture)
Answer:
180 - 133
Step-by-step explanation:
Answer:
x = 47 degrees
Step-by-step explanation:
Solve for X:
x + 133 = 180
180 - 133 = 47
x = 47
Please answer this fast in 2 minutes
Answer: (4,10)
Step-by-step explanation:
This is the answer because you would have to plug in everything into the midpoint formula and then solve for x2 and y2. Hope this helps! :)
Answer:
(4,10)
Step-by-step explanation:
What is the slope of a line that is perpendicular to the line whose equation is y=45x−3 A. −45 B. −54 C. 54 D. 45
Answer:
B. -5/4
Step-by-step explanation:
We're going to assume that you don't mean
y = 45x -3
which has a perpendicular line with a slope of -1/45.
Rather, we're going to assume that you mean
y = 4/5x -3
so that the slope of the perpendicular line is -5/4.
__
Similarly, we're going to assume that the answer choices are supposed to represent fractions, so that the above slope matches choice B.
_____
If the slope of a line is m, the slope of the perpendicular line is -1/m. The reciprocal of a fraction is the fraction that has numerator and denominator swapped. -1/(4/5) = -5/4.
3. Which number is a solution of the inequality?
m>13/3
A) 3
B) 5
C) -9
D) 2
Answer: B) 5
Step-by-step explanation:
3 = 9/3
9/3 < 13/3
————————
5 = 15/3
15/3 > 13/3
————————
-9 = -27/3
-27/3 < 13/3
————————
2 = 6/3
6/3 < 13/3
5/8 divided by 4/5 plssss
Answer:
The correct answer is 25/32
Step-by-step explanation:
Let's recall that the division of two fractions is the same as multiplying the first fraction by the inverse or reciprocal of the second fraction. We get the reciprocal of a fraction by interchanging its numerator and denominator.
Upon saying that, we have:
5/8 ÷ 4/5 =
5/8 * 5/4 = (We use the inverse and not it is a multiplication)
25/32
The correct answer is 25/32
3,524 a que numero decimal corresponde?
Answer:
3,524 corresponde al fraccionario [tex]\frac{3524}{1000}[/tex].
Step-by-step explanation:
La coma está desplazada tres espacios (3 dìgitos) hacia la izquierda del observador, el número decimal tiene su equivalente forma fraccionaria, en donde el numerador son todos los dìgitos en series y el denominado tiene la forma 10ⁿ, donde n es la cantidad de espacios que ha sido desplazada la coma. Entonces, 3,524 tiene la siguiente expresión:
[tex]3,524 = \frac{3524}{10^{3}}[/tex]
[tex]3,524 = \frac{3524}{1000}[/tex]
3,524 corresponde al fraccionario [tex]\frac{3524}{1000}[/tex].
Please please help me. I'll give you the BRAINLIEST if correct! Given the equation A=250(1.1)^t, you can determine that the interest is compounded annually and the interest rate is 10%. Suppose the interest rate were to change to being compounded quarterly. Rewrite the equation to find the new interest rate that would keep A and P the same. What is the approximate new interest rate? Convert your answer to a percentage, round it to the nearest tenth, and enter it in the space provided, like this: 42.53%
Answer:
A=250(1+2.5)^4/12
Step-by-step explanation:
A=250(1+0.1)^t
compounded quarterly : divide the annual by 4 : 0.1/4=0.025 or 2.5%
2.5% every 3 month (quarterly), t=4/12 (quarterly)
the equation will be :
A=P(1+r/n)^t (p is the principal),r is the rate, n is the number of compounding , t is the time.
i hope it works, just try it
A=250(1+2.5)^4/12
Answer:
hi skkedklsk sn1. soosis
The ratio of adults to children at a cricket match is 7:3.
There 150 people at the match.
How many children attended the cricket match?
Step-by-step explanation:
Ratio of adults to children= 7:3
Total no. Of people at the cricket match:150
To find the value of the ratios, 7x+3x=150 ; 10x=150 ; x=150/10:15
So, 7:3 is 7(15) adults to 3(15) children,
Total no. Of adults: 105
Total no. Of children: 45
So, as per the question, the no. Of children that attended the cricket match is 45
PLSSSS HELPPP THANK YOOOUU!!Let f(x) = 3x + 5 and g(x) = 2x - 1 Perform the following function operation (if needed use ^ to mean to the ___ power): f(x) • g(x)
Answer:
I hope it will help you....
The Clark family is taking a trip from Boston to Cleveland to watch Pedro pitch against the Indians. The distance between Boston MA and Cleveland, Ohio is 552 miles. To minimize the sibling rivalries along the way, they are going to extend the trip over two days. The first part of the journey will be exactly 100 miles longer than the second part. How far will the Clark family travel on each day?
Answer:
They will travel 326 miles on the first day and 226 on the second day
Step-by-step explanation:
We can set up an equation to help us solve it.
Let x be the number of miles they travel on the first part of the journey
We can also write the second part in terms of x. Since it is 100 miles shorter than the first, it can be written as x-100
x+x-100=552
Add 100 to both sides
x+x=652
2x=652
x=326
They will travel 326 miles on the first day and 226 on the second day
Zaheer, a boy of height 1.5m was watching the entire programme. Initially he observed the top of theflagpoleat an angle of elevation 300 . When he moved 10 m towards the flag post the angle of elevation of the top of the flagpole increased to 450. What is the height of the flag pole?
Answer:
[tex]h = 15.163\ meters[/tex]
Step-by-step explanation:
(Assuming the correct angles are 30° and 45°)
We can use the tangent relation of the angle of elevation to find two equations, then we can use these equations to find the height of the pole.
Let's call the initial distance of the boy to the pole 'x'.
Then, with an angle of elevation of 30°, the opposite side to this angle is the height of the pole (let's call this 'h') minus the height of the boy, and the adjacent side to the angle is the distance x:
[tex]tan(30) = (h - 1.5) / x[/tex]
Then, with an angle of elevation of 45°, the opposite side to this angle is still the height of the pole minus the height of the boy, and the adjacent side to the angle is the distance x minus 10:
[tex]tan(45) = (h - 1.5) / (x - 10)[/tex]
So rewriting both equations using the tangents values, we have that:
[tex]0.5774 = (h - 1.5) / x[/tex]
[tex]1 = (h - 1.5) / (x - 10) \rightarrow (h - 1.5) = (x - 10)[/tex]
From the first equation, we have that:
[tex]x = (h - 1.5) / 0.5774[/tex]
Using this value of x in the second equation, we have that:
[tex]h - 1.5 = \frac{ (h - 1.5) }{0.5774} - 10[/tex]
[tex]h + 8.5 = \frac{ (h - 1.5) }{0.5774}[/tex]
[tex]0.5774h + 4.9079 = h - 1.5[/tex]
[tex]0.4226h = 6.4079[/tex]
[tex]h = 15.163\ meters[/tex]
Payton cut out two shapes, as shown, that she will later put together to resemble a house. On a coordinate plane, a square and a triangle are shown. The square has points (1, 4), (4, 7), (7, 4), (4, 1). The triangle has points (5, 8), (7, 8), and (8, 5). What is the total area of the two shapes? 20 square units 21 square units 22 square units 23 square units
Answer:
Correct option: second one -> 21 square units
Step-by-step explanation:
First let's find the side of the square.
We can find this side finding the distance between two points of the square, using the formula:
[tex]distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
Using points (1,4) and (4,7), we have:
[tex]distance = \sqrt{(1 - 4)^2 + (4 - 7)^2}[/tex]
[tex]distance = \sqrt{(-3)^2 + (-3)^2}[/tex]
[tex]distance = 3\sqrt{2}[/tex]
So the area of the square is:
[tex]area = distance^2[/tex]
[tex]area = (3\sqrt{2} )^2 = 18[/tex]
Now, let's find the three sides of the triangle:
points (5,8) and (7,8):
[tex]distance = \sqrt{(5 - 7)^2 + (8 - 8)^2} = 2[/tex]
points (7,8) and (8,5):
[tex]distance = \sqrt{(7 - 8)^2 + (8 - 5)^2} = \sqrt{10}=3.1623[/tex]
points (8,5) and (5,8):
[tex]distance = \sqrt{(8 - 5)^2 + (5 - 8)^2} = 3\sqrt{2}=4.2426[/tex]
The area of the triangle can be calculated using the formula:
[tex]area = \sqrt{p(p-a)(p-b)(p-c)}[/tex]
Where p is the semi perimeter of the triangle:
[tex]p = (a+b+c)/2 = (2+\sqrt{10} +3\sqrt{2} )/2 = 4.7025[/tex]
So the area is:
[tex]area = \sqrt{4.7025(4.7025-2)(4.7025-3.1623)(4.7025-4.2426)} = 3[/tex]
Now, adding both areas, we have:
Total area = 18 + 3 = 21 square units
Correct option: second one
Answer:
21
Step-by-step explanation:
love you
The length of the base of a right-angled triangle ABC is 6 centimeters and the length of the hypotenuse is 10 centimeters. Find the area of the triangle.
Answer:
24
Step-by-step explanation:
Ok, so we see that we have 6 as a leg of the right triangle and 10 as the hypotenuse. As we look closer, we can tell that this makes the Pythagorean triple 6, 8, 10. 6, 8, 10 is just the Pythagorean triple 3, 4, 5 but it is multiplied by 2. So now that we know both the legs of this right triangle, we can use the area of a triangle formula (bh)/2. 6*8=48 and 48/2 = 24 which gives us our answer.
Which set of algebra tiles represents the sentence below? Ada drove 2 fewer miles today than she drove yesterday. 2 boxes contain negative x and 1 box contains a plus sign. 1 box contains x and 2 boxes contain a minus sign. 1 box contains negative x and 2 boxes contain plus signs. 2 boxes contain x and 1 box contains a minus sign.
Answer:
The correct option is;
1 box contains x and 2 boxes contain minus sign
Step-by-step explanation:
Algebra tiles are used in teaching students algebraic concepts. The unit (small) tile represents the number one. The rectangular tile represents the variable x and the large square tile represents x²
The parameters given are;
Ada drove 2 fewer miles today than she drove yesterday, therefore;
Let X = number of miles Ada drove yesterday
We have number of miles Ada drove today = X - 2
Therefore, the correct option is 1 box contains x and 2 boxes contain minus sign
Answer:
its b
Step-by-step
i got it right on my test
(-38)÷ ------- =not defined.fill in the blanks
please fill the answer
━━━━━━━☆☆━━━━━━━
▹ Answer
∞
▹ Step-by-Step Explanation
The answer is ∞ because anything divided by infinity is not defined.
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
There are eight marbles in a bag. Four marbles are blue (B), two marbles are red (R) and two marbles are green (G) Steve takes a marble at random from the bag. What is the probability that Steve will take a blue marble.
Answer:
1/2
Step-by-step explanation:
There are 8 marbles in total and 4 are blue, so 4/8 are blue. Then simplify 4/8 and you will get 1/2.
Answer:
1/2 or 50%
Step-by-step explanation:
Blue= 4, Red= 2, Green= 2
Total marbles= 8
P(B)= 4/8= 1/2 or 50%
Two lines AB and CD intersect at O. If ∠AOC + ∠COB + ∠BOD = 270°Find the measures of ∠AOC, ∠COB, ∠BOD, ∠DOA.
Answer:
all are 90°
Step-by-step explanation:
Vertical angles are congruent, and linear angles are supplementary, so we have ...
∠AOC + ∠COB + ∠BOD = 270°
180° + ∠BOD = 270°
∠BOD = 90°
Since the lines cross at right angles, all of the angles are 90°.
Juan y Luis deben pagar su deuda de suma 4500, si el triple de lo que debe Juan menos, lo que debe Luis asciende a 3500 ¿cuánto es la deuda de cada uno?
Answer:
donda esta laletcha
Step-by-step explanation:
hola
HELP PLEADE QUICK DHOW YOUR WORK!!!!!
best answer gets brainliest
Answer:
m= 70
s= 40
a= 110
d= 40
Step-by-step explanation:
Angle M is equal to 70 because it is an isoleases triangle.
The 3 sides of a triangle is equal yo 180. So if angle m is 70, then 70+70 is 140. 180-140 is 40. This makes angle s= 40.
Now we have to find angle a. Angle a and 70 make a straight line. So the line is 180. 180-70 is 110. Angle a is equal to 110.
Now we have to find angle d. As I said before All the angles of a triangle equal to 180. 30+110= 140 now 180 - 140= 40. This makes angle d= 40.
(x4- 4x2 + 5x - 1) = (x + 2)
Solve using remainder Therom
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
Lets do this step by step.
Simplify: [tex](4x2 - 2x) - (-5x2 - 8x).[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~
Solution:
[tex](4x2 - 2x) - (-5x2 - 8x)= 4x2 - 2x + 5x2 + 8x.= 4x2 + 5x2 - 2x + 8x.= 9x2 + 6x.= 3x(3x + 2).[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~
Answer: [tex]3x(3x + 2)[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
Which of the system(s) below works best to solve by elimination? Why? System 1 : 3m+n=71 2m-n=30
System 2 : 4x+y=1 y=-2x+9
System 3 : 5x+4y=15 5x + 11y=22
Answer:
first option is easiest since it involves just adding both equations term by term.
3m+n=71
2m-n=30
Step-by-step explanation:
The first system looks like the easiest one, because the two equations are listed already in standard form, and the variable "n" appears as positive "n" in the first equation, and as its opposite "-n" in the second equation. Therefore the elimination method works directly by adding both equations term by term (thus cancelling out completely one of the variables in the resultant/combined equation.
The domain of 8(x) =
8
is:
4-
6-x
A. {x:**3}
B. {x:x*3 and 2 *6}
C. {x:**0}
D. {x:x*6}
E. {x:x*4 and *6}
A 34_46_37_3÷56×34÷77+34
If f(x) = 3 – 2x and g (x) = StartFraction 1 Over x + 5 EndFraction, what is the value of (StartFraction f Over g EndFraction) (8)?
f(x) = 3 - 2x
[tex]g(x) = \frac{1}{x + 5}[/tex]
[tex](\frac{f}{g}(8) = \frac{3-2x}{\frac{1}{x+5}}[/tex]
[tex](\frac{f}{g}(8) = (3 - 2x).(x + 5)[/tex]
[tex](\frac{f}{g}(8) = 3.x + 3.5 - 2x.x - 2x.5 = 3x + 15 - 2x^2 - 10x[/tex]
[tex](\frac{f}{g}(8) = -2.8^2 - 7.8 + 15 = -2.64 - 56 + 15 = -169[/tex]
Answer:
A. -169
Step-by-step explanation:
e2021
what is the distance between the points (5,7)and (-3,4) on the coordinate plane
Answer:
[tex]\boxed{D = 8.5 \ units}[/tex]
Step-by-step explanation:
The coordinates are (5,7) and (-3,4)
Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
D = [tex]\sqrt{(-3-5)^2+(4-7)^2}[/tex]
D = [tex]\sqrt{(-8)^2+(-3)^2}[/tex]
D = [tex]\sqrt{64+9}[/tex]
D = [tex]\sqrt{73}[/tex]
D = 8.5 units