Answer:
t = 74.897 years
(about 74 years 11 months)
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 4/100
r = 0.04 per year,
Then, solve the equation for t
t = ln(A/P) / n[ln(1 + r/n)]
t = ln(16,000.00/800.00) / ( 365 × [ln(1 + 0.04/365)] )
t = ln(16,000.00/800.00) / ( 365 × [ln(1 + 0.00010958904109589)] )
t = 74.897 years
Summary:
The time required to get a total amount of $16,000.00 with compoundeded interest on a principal of $800.00 at an interest rate of 4% per year and compounded 365 times per year is 74.897 years.
(about 74 years 11 months)
Since it wasn't stated howmany times the interest is compunded I took the value of once a year.
Solve for a side in right triangles
Answer:
The answer is AC = 3.76
Step-by-step explanation:
CohCahToa
Coh: sin(theta) = Opp/Hyp
sin(theta°) = AC/AB
sin(70°) = AC/4
AC = 4*sin(70°)
AC ≈ 3.758770483
AC = 3.76
Answer:
AC = 3.76
Step-by-step explanation:
The opposing side of ∠B needs to be found, where the value of the hypotenuse is given. Take the sin ratio.
sin∠B = AC/4sin70° = AC/40.94 = AC/4AC = 4 x 0.94AC = 3.76What is the formula of (a+b)² if you give correct answer I will give you brainliest
Answer: You will have to multiply (a+b)×(a+b) . Thus is the formula
Step-by-step explanation: hope it is correct .
Answer:
(a+b)² = a² + 2ab + b²
Step-by-step explanation:
Hello!
This is one of three special binomial products:
(a+b)² = a² + 2ab + b²(a-b)² = a² - 2ab + b²(a+b)(a-b) = a² - b²All you have to do is expand the parenthesis, and this will give you a simple format to follow. This can be used to quickly factor the expanded forms, or quickly multiply the factored forms.
Find the probability that a point chosen randomly inside the rectangle is in each given shape. Round to the nearest hundredth.
its a tringale
Step-by-step explanation:
Zearnn help... I've been stuck working hard
Calculate the area of the room and then subtract the area of the tiled floor.
area of room = 11 3/4 x 5 = 58 3/4
Area of tiled floor = 7 1/2 x 3 1/4 = 24 3/8
area of carpet = 58 3/4 - 24 3/8 = 34 3/8
answer: 34 3/8
does anybody know what 2x+5y=9 is
-What does the “Volume” of a geometric figure mean?
Answer:
The volume relates to the space inside a figure a measurement amount can take-up
Step-by-step explanation:
Please help me GENIUS Rank
Directions: Complete the following frequency distribution table, then compute the mean, median, and mode of the distribution. Show your complete solutions. (25 points)
Class interval] frequency (f)] fxm
99-101 ] 17 ].
102-104 ] 25 ]
105-107 ] 13 ]
108-110 ]. 16 ]
111-113 ]. 29 ]
total ]N= ]. Efxm=
less than cumutalti frequency (<cf)
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Find the area of the triangle.
Height = 4 ft
Base = 12 1/2 ft
Area = ? square feet
Write the equation of the circle
with center (2,-5) and radius of 4.
*
Answer:
[tex](x - 2) {}^{2} + (y + 5) {}^{2} = 16[/tex]
Step-by-step explanation:
Equation of circle is:
[tex](x - h) {}^{2} + (y - k) {}^{2} = r {}^{2} \\ [/tex]
Here (h,k) are the coordinates of center and r is radius
(h,k) =(2,-5)
r. = 4
plug in the values of h,k and r
[tex](x - 2) {}^{2} + (y - ( - 5)) {}^{2} = 4 {}^{2} \\ (x - 2) {}^{2} + (y + 5) {}^{2} = 16[/tex]
Answer:
[tex](x-2)^2+(y+5)^2=16[/tex]
Step-by-step explanation:
Equation of a circle
[tex](x-a)^2+(y-b)^2=r^2[/tex]
(where (a, b) is the center and r is the radius)
Given:
center = (2, -5)radius = 4Substitute the given values into the equation:
[tex]\implies (x-2)^2+(y-(-5))^2=4^2[/tex]
[tex]\implies (x-2)^2+(y+5)^2=16[/tex]
What is the solution to the inequality |2x + 3| < 7? 4 < x < 10 –5 < x < 2 x < 4 or x > 10 x < –5 or x > 2
Answer:
4(−10−9x)
Step-by-step explanation:
Can someone help me find the volume of this?
Answer:
97.2 m³
Step-by-step explanation:
The volume of a triangular prism is half the volume of a rectangular prism with the same length, width, and height.
V = 1/2LWH
V = 1/2(9 m)(7.2 m)(3 m) = 97.2 m³
_____
Additional comment
The relation we used above comes from the more general formula for the volume of a prism:
V = Bh
where B is the area of the base.
You know a rectangular base will have an area of ...
A = bh
and a triangle with the same base and height will have an area of ...
A = 1/2bh
That is, the base area of a triangle is half that of a rectangle with the same dimensions. When we use this fact in the volume formula, we find the volume of a triangular prism is 1/2 that of a rectangular prism with the same length, width, and height.
Which of the following is equivalent to
?
60 ^1/2
Answer:
60^1/2 = 60^0.5 = sqrt 60 = 7.75
good luck :))) <3
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Step-by-step explanation:
z = 180° - 113° = 67°
sum of angles of quadrilateral shape = 360°
y = 360° - ( 67° + 81° + 106° ) = 106°
If two lines intersect, their intersection is___________
O many points
O one plane
O many planes
O one point
Answer:
one point and one plane
Step-by-step explanation:
Any two line if they intersects... they will intersects in one point..
And to have an intersection they always need to be on one plan..
The diameter of a circle is 22 yards. What is the circle's circumference?
Use 3.14 for .
Will mark brainleest
Answer:
the circumference is 69.08
Step-by-step explanation:
If 22 is the diameter, all u do to find the circumference is multiply the diameter by 3.14.
Answer:
34.54
Step-by-step explanation:
22 is diameter
formula for circumference is radius times pi
2 radius=1 diameter
22/2=11
11*3.14=34.54
the number of gallons of gas were in the tank minus 9 leaves 3 gallons
Answer:
The number of gallons of gas were in the tank minus 9 leves 3 gallons
I don't know that
6. Annie has a cube that has a side length of 9 cm. What is the surface area of the cube?
Answer:
486
Step-by-step explanation:
Surface area means the area of each side added upIn a cube, every side is the samethe area of one side = 9 * 9 = 81, since it is a square (width*height) and width and height are the same. in a cube there are 6 sidesso there are 6 sides with area 8181 * 6 = 486a 23 ө C С B 2
help me??
i need help with this math
The bacteria in a petri dish doubles every hour. If there are 3 present, how many will there be in 15 hours?
Answer:
98304 bacteria
Step-by-step explanation:
3x2^1 = 6
3x2^2 = 12
3x2^3 = 24
3x2^15 = 98304
suppose the integers from 1 to 25 are arranged in consecutive order. How many different pairs of integers may be selected if there are at least four integers between the selected integers?
You mix the letters S,E,M,I,T,R,O,P,I,C,A, and L throughly.Without looking,you draw one letter.Find the probability that you select a vowel.Write your answer in simplest form.
A. 12/5
B. 5/12
C. 1/3
D. 7/12
I need this answer in 5 MINUTES!
Answer:
B. 5/12
Explanation:
Total Letters mixed: {S, E, M, I, T, R, O, P, I, C, A, L} = 12 Letters
There are 5 vowels and they are: 'a', 'e', 'i', ' o', and 'u'
In here the vowels are: E, I, O, I, A = 5 vowels here
So,
probability: number of favourable outcomes/total number of outcomes
probability: 5/12
The track is 9.76 m wide all the way around. What is the distance around the outside of the track? Explain or show your reasoning.
Answer:
The distance around the outside of the track is 4183.58m².
Step-by-step explanation:
The area of running track that goes around the field is 9.76m
To proof :
Formula -
(Area of rectangle = length × breadth)
(Area of running track = outside area - inside area)
First case (outside),
length = 73 +2× 9.76
= 92.52m
Breadth = 84.39 m
radius of outside semi circle,
= 46.26m
outside area = area of rectangle + 2 × area of the semi-circle
= 92.52 x 84.39 + 3.14 x 46.26 × 46 × 26
= 7807.76+6719.56
Second case,
radius of the semi-circle,
=36.5m
inside area = area of rectangle + 2x area of the semi-circle
=73x 84.39+ 3.14x 36.5×36.5
= 6160.47 +4183.27
= 10343.74m²
Now,
Area of running track = 14527.32 m²- 10343.74m²
= 4183.58m²
The distance around the outside of track is 4183.58m².
Solve for x in the given equation: ax - b = c
An equation is formed of two equal expressions. The value of x is the equation ax-b=c is (c+b)/(a).
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The solution of x in the given equation can be written as,
[tex]ax - b = c\\\\ax = c+b\\\\x = \dfrac{c+b}{a}[/tex]
Hence, the value of x is the equation ax-b=c is (c+b)/(a).
Learn more about Equation:
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I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS PLEASE AND PLEASE EXPLAIN WHY THAT IS THE ANSWER
Answer:
x is 52°
Step-by-step explanation:
Lines m and d are parrallelBecause of this, we can use the alternate angle rule, which is that alternate angles are equalTherefore, 2x - 20 is equal to 84°Create an equation [tex]2x-20=84[/tex]Add 20 to both sides[tex]2x=104[/tex]Divide both sides by 2[tex]x = 52[/tex]Evaluate 27+ x when x = 3.
What is the value of the expression
Answer:
30
Step-by-step explanation:
Evaluating an expression when given a value of an unknown means to substitute the unknown value with a certain value given and simplify fully:
27 + (3)
Simplify by doing simple addition :
27 + 3 = 30
Therefore our answer is 30.
Hope this helped and brainliest please.
Replace the variable x with 3 in the expression.
27 + 3
Remove parentheses.
27 + 3
Add 27 and 3.
30
Evaluate and simplify
Answer:
[tex]\frac{-3}{-26}[/tex]
Step-by-step explanation:
[tex]\frac{-x-8}{x^{2}-4x-21}[/tex] is what you are looking for.
So with x = -5, it would look like this
[tex]\frac{-(-5)-8}{-5^{2}-(-5)4-21}[/tex]
Simple math now.
-(-5) is 5
[tex]-5^{2} = -25[/tex]
-5 * -4 = 20.
So it should be [tex]\frac{5-8}{-25+20-21}[/tex]
5-8=-3
-25+20-21 = -26
So the answer is[tex]\frac{-3}{-26}[/tex]
2 − 4 x 6 Select the expression that represents the following statement: multiply the difference of 5 and 2 by 7, and then add 6.
7 x (5 − 2) + 6
5 + 2 x 7 + 6
7 x (5 + 2) − 6
6 − 2 + (7 x 5)
Hey there!
2 - 4 * 6
= 2 - 24
= -22
Option A.
7 * (5 - 2) + 6
= 7 * 3 + 6
= 21 + 6
= 27
Option A. is incorrect
Option B.
5 + 2 * 7 + 6
= 5 + 14 + 6
= 19 + 6
= 25
Option B. is also incorrect
Option C.
7 * (5 + 2) - 6
= 7 * 7 - 6
= 49 - 6
= 43
Option C. is also incorrect
Option D.
6 - 2 + (7 * 5)
= 6 - 2 + 35
= 4 + 35
= 39
Thus, it seems like NONE of the ABOVE is correct
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
PLEASE HELP PLEASE PLEASE HELP
Answer:
option A Is the answer
Step-by-step explanation:
Quantity of cup used per batch=3/4
No of batches=5/2
Hence number of cups=5/2×3/4
I hope it helped you
I dont know how to do this please help me now
Answer:
D. (2,5)
Step-by-step explanation:
it's correct go for it