Answer:
Answer is 3.2
Step-by-step explanation: you can take any percent and divide it by 100. So in this example you would divide 320/100 and it will give you 3.2
Suppose you invest, every month, in an annuity that pays 3% interest, compounded monthly. After 25 years, you have $550,000. How much money do you earn from interest? Round your answer to the nearest hundred dollars. Do NOT round until you have calculated the final answer.
Answer:
180100
Step-by-step explanation:
Use savings annuity formula
Substitute A(25) = $550,000 , R= 0.03 and N=12 simplify and solve for D.
You have earned 292589 dollars from compound interest.
What is compound interest ?Compound interest is calculated from both the initial principle and the previous accumulated interest.
According to the given question you invest, every month, in an annuity that pays 3% interest.So r = 3.
After 25 years, you have 550,000 dollars so amount (A) = 550,000.
We know, Interest = Amount - Principle.
A = P(1 + r/100)ⁿ, where n represents time in years.
Given n = 25.
The interest is compounded monthly so the formula will be
A = P[1 + (r/12)/100]¹²ⁿ.
555000 = P[ 1 + 3/1200]¹²ˣ²⁵.
555000 = P[ 1203/1200]³⁰⁰.
555000 = P(1.0025)³⁰⁰.
555000 = 2.115P
P = 262411.
CI = ( 555000 - 262411) dollars.
CI = 292589 dollars.
learn more about compound interest here :
https://brainly.com/question/14295570
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5. If the tree's circumference is 141.3ft, what is its diameter?
Answer:
d ≈ 45 ft
General Formulas and Concepts:
Symbols
π (pi) ≈ 3.14Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityGeometry
Circumference of a Circle Formula: C = πdStep-by-step explanation:
Step 1: Define
Circumference C = 141.3 ft
Step 2: Solve for d
Substitute in C [Circumference Formula]: 141.3 ft = πdSubstitute in π (approximation): 141.3 ft ≈ 3.14d[Division Property of Equality] Divide both sides by 3.14: 45 ft ≈ dRewrite: d ≈ 45 ftVincent's pie recipe calls for 5 ounces of pecans and 7 ounces of walnuts. How many total ounces of nuts does his recipe call for?
Answer:
12 nuts
Step-by-step explanation:
[tex]7 + 5 = 12[/tex]
What solution equals x^4=81
Answer:
Step-by-step explanation:
3^4=81
3 to the square root of 4 is 81
3*3*3*3=81
Answer:
Since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.
The inverse (opposite operation) of "to the fourth power" is "to the fourth root".
(x^4) ^ 1/4 = 81 ^ 1/4
81 = 3^4
so, (3^4) ^ 1/4 = 3 ^ 1 = 3
by hand: (3^4) 1/4 = 3 ^
(4 × 1/4) = 3^1 = 3
(when you take a power to a power, multiply the exponents.)
Or, do it by calculator. One way of finding the fourth the fourth root is to use ^ (1/4).
find the volume of the cone. make sure to round
Answer: 333.29
V= ⅓Bh is how you would do it
Complete the expressions that would make them a perfect square trinomial.
a.
x² – 8x+
b. x2 + 20x +
C.
x² – 16x +
d. x2 + 9x +
Answer:
a) 16
b) 100
c) 64
d) [tex]\frac{81}{4}[/tex][/tex]
Step-by-step explanation:
Perfect square trinomial:
A perfect square trinomial has the following format:
[tex](x \pm a)^2 = x^2 \pm 2ax + a^2[/tex]
a.
x² – 8x
[tex]x^2 - 8x = x^2 - 2ax[/tex]
So 2a = 8, a = 4. Then
[tex]a^2 = 4^2 = 16[/tex]
The perfect square trinomial is [tex]x^2 - 8x + 16[/tex]
b. x2 + 20x +
2a = 20, so a = 10
[tex]a^2 = 10^2 = 100[/tex]
The perfect square trinomial is [tex]x^2 + 20x + 100[/tex]
C.
x² – 16x +
2a = -16, so a = -8.
[tex]a^2 = (-8)^2 = 64[/tex]
The perfect square trinomial is [tex]x^2 - 16x + 64[/tex]
d. x2 + 9x +
[tex]2a = 9[/tex], so [tex]a = \frac{9}{2}[/tex]
[tex]a^2 = (\frac{9}{2})^2 = \frac{81}{4}[/tex]
The perfect square trinomial is [tex]x^2 + 9x + \frac{81}{4}[/tex][/tex]
Please help me I need this due
I need help with 7-9 please
9514 1404 393
Answer:
7. 4 cm
8. 206 paper cups
9. 175pi cm³
Step-by-step explanation:
7. The formula for the volume of a cone can be used.
V = 1/3πr²h
h = 3V/(πr²) = 3(48π cm³)/(π(6 cm)²) = 144/36 cm = 4 cm
The height of the cone is 4 cm.
__
8. The volume of the cone with the given dimensions is ...
V = 1/3π(4 cm)²(11 cm) = 176/3π cm³ ≈ 184.307 cm³
The number of times this volume can be filled by 10 gallons is ...
(10 gal)(3785 cm³/gal)/(184.307 cm³/cup) = 205.3 cups
206 paper cups are needed.
__
9. We know from the formula for the volume of a cone that it has the same volume as a cylinder 1/3 its height. The composite figure is equivalent to a cylinder with a height of ...
3 cm +(12 cm)/3 = 7 cm
Then the volume is ...
V = πr²h
V = π(5 cm)²(7 cm) = 175π cm³
__
For this, we recognize that the triangle with sides h, 5, and 13 will be a 5-12-13 right triangle, so the height of the conical part of the figure is h=12 cm. If you haven't remembered that Pythagorean triple, you can find the height from the Pythagorean theorem:
h² +5² = 13²
h = √(169 -25) = √144 = 12
an artist is painting a mural on a wall to make sure that the picture is painted accurately to her vision she creates a grid for the wall with each unit measuring a meter in the mural at the second event at 2 to and the event at -2 for the artist plans to fail in the Triangular space between the three events with colored pattern what is the area of the space?
30 + q = 43 show work PLEASEE HELP
Answer:
13
Step-by-step explanation:
43 - 30 = 13
q = 13
Answer:
q=13
Step-by-step explanation:
first, subtract 30 from both sides of the equation
30-30+q=43-30
you should be left with q=13
that's your answer
Find the slope of the line passing through the points (4,1) and (4,-5)
Answer:
Step-by-step explanation:
(4 , 1) ; x₁ = 4 and y₁ = 1
(4 , -5) ; x₂ = 4 and y₂ = -5
The slope of the the line is undefined as the line is parallel to y-axis
Find GH. What does GH equal?
Answer: GH = HJ = 4.6
Step-by-step explanation:
anyone caring to help me?? please and thank you it would be very much appreciated <3
Answer:
75
90
15, i think ??
165
hope this helps !!!! :D
Step-by-step explanation:
Solution:
Here,
In triangle LKM,
6x+5x+x=180
12x=180
x=180/12
x=15
Now,
1.75
2.90
3.15
4.165
Can someone solve for x? And maybe explain it in a simple way?
Answer:
x=10
Step-by-step explanation:
Because of the two parallel lines, the ratio between the sides must be the same. Since the bottom is 12 to 18 (a ration of two to three) we know that x and x+5 would have the same ratio. Logically, x would have to equal 10 so that x+5 would equal 15 and a ratio of two to three would exist there too. If you go to solve a problem and the answer isn’t obvious, jut set up a ratio.
12/18=x/(x+5)
then cross multiply and solve
12(x+5)=18x
12x+60=18x
60=18x-12x
60=6x
10=x
Answer:
x=10
Step-by-step explanation:
You can set it up as a proportion, since the lines are parallel, the sections are proportionate to each other.
[tex]\frac{x}{12} = \frac{x+5}{18} \\18x=12(x+5)\\18x=12x+60\\6x=60\\x=10[/tex]
The ‘peak’ of a transverse wave is call the
Answer:
λ
Step-by-step explanation:
Please this is due in like 10 minutes please help me
Answer:
628
Step-by-step explanation:
1) Find the circumference of the wheel (the distance it travels in 1 revolution)
[tex]C=\pi d[/tex] where d is the diameter
Plug in 2 ft as the diameter
[tex]C=(3.14) (2)\\C=6.28[/tex]
Therefore, the circumference of the wheel is 6.28 ft.
2) Multiply the circumference by 100
6.28 × 100
= 628 ft
Therefore, Joe would travel 628 feet if his wheel turns exactly 100 complete revolutions in one direction.
I hope this helps!
Why is it that every time I ask a question either it never gets answered or just gets met with spam or someone sending me gross images?
Answer:
That is what happens to me, I am asking a question right now and like people say like "Sorry don't want to be mean but no one wants to do it" so I am really not sure.
Step-by-step explanation:
find the number set which satisfies each of these problems:
if three is added to the absolute value of the product of a number and -9, the result will be 4
Answer:
The answer is -5.
Step-by-step explanation:
The absolute value of -9 is 9.
Then it would be like 4= x + 9.
If you solve it, you get -5.
The area of a rectangle with a
length of 10 cm and a width of 3
cm.
Answer:
30 cm2
Hope this helps
Answer:
30
Step-by-step explanation:
A=w*l=3·10=30
BRAINILEST PLEASE
What is the answer for (a^2+12c)÷7b-1
Answer:
Step-by-step explanation:
Integer roots:
a = 6 n + 1, b = 7, c = -3 n^2 - n, n element Z
a = 6 n + 5, b = 7, c = -3 n^2 - 5 n - 2, n element Z
Derivative:
d/da(1/7 (a^2 + 12 c) b - 1) = (2 a b)/7
Indefinite integral:
integral(-1 + 1/7 b (a^2 + 12 c)) da = (a^3 b)/21 + (12 a b c)/7 - a + constant
Related Queries:
5. A bag contains 21 red marbles and 29 blue marbles. A marble is picked at
random from the bag. What is the probability of picking a red marble?
Answer:
i dont know
Step-by-step explanation:
uhhh
Answer:
42% chance
Step-by-step explanation:
Since there are 21 red marbles and 29 blues ones, the total amount of marbles is 50. There are only 21 red marbles out of 50 marbles so there is a 21/50 chance that you will pick a red marble.
8a+11-2b for
a =4.b=2
Answer:
39
Step-by-step explanation:
8(4) + 11 -2(2)
32 + 11 - 4
43 - 4
39
Guys help I’m failing math this assignment is 100 points it will boost my grade I’m timed..
Answer:
edf
Step-by-step explanation:
All of number 3 plz and thank u!
A cylindrical drinking glass has a base radius of 3.2 centimeters and a height of 14.0 centimeters. Given that 1 cubic centimeter is equivalent to
1 milliliter, how many milliliters of water does the glass hold when it is full? Round your answer to the nearest millimeter.
ml (Only enter the number, no words.)
Answer:
450 ml.
Step-by-step explanation:
Volume of a cylinder:
The volume of a cylinder is given by:
[tex]V = \pi r^2h[/tex]
In which r is the radius and h is the height.
A cylindrical drinking glass has a base radius of 3.2 centimeters and a height of 14.0 centimeters.
This means that [tex]r = 3.2, h = 14[/tex]
How many milliliters of water does the glass hold when it is full?
Radius and height are measured in centimers, so the volume will be in cubic centimeters, which is the same as milliliter. So
[tex]V = \pi(3.2)^2*14 = 450.3[/tex]
Rounding to the nearest millimeter, the answer is 450 ml.
HELP I REALLY NEED HELP WITH THIS
Write an equation with a variable AND solve it. A truck contained 77 gallons of gas. It leaked 11 gallons per minute, m, until here were 22 gallons left. How many minutes passed?
Equation:
Answer:
Answer:
answer = 5
Step-by-step explanation:
77-22=55
55÷11=5
asap
Five students, Jeremiah, Claire, Alyssa, Brody, and Hudson, line up one behind the
other. How many different ways can they stand in line?
Answer:
25 dfferent ways
Step-by-step explanation:
The answer is 25 different ways because since there are students and thy line up behind each other you would do 5 times 5 which equals to 25.
100 times 5 dino nuggie is how much
Answer:
500 dino nuggies.
Step-by-step explanation:
Hope this helps
Answer:
500 dino nuggies!!!
Step-by-step explanation:
help me answer this question please
9514 1404 393
Answer:
x = ∛4 ≈ 1.587 m
y = (∛4)/2 ≈ 0.794 m
Step-by-step explanation:
Short answer:
An open-top box will use minimum material when it has the shape of half a cube. That is, the x-dimensions will be ...
x = ∛(2·2 m³) = ∛4 m
The y-dimensions will be half that:
y = x/2 = (∛4)/2 m
__
Long answer:
The volume is ...
V = x^2·y
so the y-dimension is ...
y = V/x^2
The area of the sides and bottom will be ...
A = 4xy + x^2
A = 4x(2/x^2) +x^2 = 8/x +x^2
The area is minimized when the derivative of this is zero.
A' = 0 = -8/x^2 +2x
x^3 = 4 . . . . . . . divide by 2 and rearrange
x = ∛4 . . . . . . . . cube root
y = 2/x^2 = 2∛4/4
y = (∛4)/2
___
Additional comment
If you follow the numbers through, you see that the value under the cube-root radical is twice the volume. This is the result we used in the "short answer."
I want to prove that sin2x/1+cos2x = tan x.
