Answer:
A = $6,464.97
Step-by-step explanation:
Given the principal amount of $5,400, and an interest rate of 3.6% compounded continuously for t = 5 years:
Substitute the given values into the Continuous Compounding Formula:
[tex]A = Pe^{r*t}[/tex]
where:
P = principal = $5,400
e ≈ 2.7183 (irrational number)
r = interest rate = 3.6% or 0.036
t = time in years = 5
[tex]A = Pe^{r*t}[/tex]
[tex]A = 5400e^{(0.036*5)}[/tex]
[tex]A = 5400e^{0.18}[/tex]
A = $6,464.97
Therefore, the amount after compounding continuously for 5 years is $6,464.97.
Using the method of completing the square, rewrite x² – 14x in the form (x + b)2 +c.
x2 – 14x = x(x - 14)
x² – 14x =
If you want to have
[tex]x^2-14x = (x+b)^2+c[/tex]
notice that expanding the right side gives
[tex]x^2-14x = x^2+2bx+b^2+c[/tex]
so that
[tex]\begin{cases}2b=-14 \\ b^2+c=0\end{cases}[/tex]
It follows that b = -7 and c = -49. Then
[tex]x^2-14x = \boxed{(x-7)^2-49}[/tex]
Help help pleaseplaaZa help
Answer: 10
Step-by-step explanation:
using ratio;
[tex]\frac{4}{x} =\frac{2}{5}[/tex]
[tex]\frac{4}{2} = \frac{x}{5}[/tex]
2 × 5 = x
x = 10
please give me a brainliest answer
Factor -4 out of 12x+20
Answer:
-4(3x-5)
Step-by-step explanation:
you pull out a -4
A geometric sequence h starts at 16 and has a growth factor of 1.75 what are the first 5 terms
16, 17.75, 19.5, 21.25, 23, 24.75
The required first five-term of the geometric progression is 16, 28, 49, 85.75, 150.06.
Given that,
A geometric sequence h starts at 16 and has a growth factor of 1.75 what are the first 5 terms is to be determined.
Geometric progression is sequence of series whose ratio with adjacent values remains same.
Here,
For the geometric progression,
a = 16
r = 1.75
The required sequence is given as,
1st = a = 16
2nd = ar = 16 (1.75) = 28
3rd = ar² = 16(1.75)² = 49
Similarly,
4th = 85.75
5th = 150.06
Thus, The required first five-term of the geometric progression is 16, 28, 49, 85.75, 150.06.
Learn more about geometric progression here: https://brainly.com/question/4853032
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Use the point-slope form to find the equation of the line that goes
through the point (7,1) with slope 7. Write your final answer in
slope-intercept form.
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]y = 7x - 48[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{\underline{Point-Slope Form Is:}}}\\\\y - y_1 = m(x-x_1)\\\rule{150}{0.5}\\\\\boxed{\text{\underline{Key:}}}\\\\$\bullet \text{ }(x_1,y_1) - \text{Point Given}\\\\$\bullet \text { } m - \text{Slope Given}\\\rule{150}{0.5}\\\\\boxed{\text{\underline{Information Given:}}}\\\\$\bullet\text { } (7,1) - \text{Point}\\\\$\bullet\text{ } 7 - \text{Slope}\\\rule{150}{0.5}\\\\\text{Replace the variables with the appropriate value.}\\\\y-y_1=m(x-x_1)\\\\\text{\textbf{Becomes...}}\\\\[/tex]
[tex]\boxed{y-1=7(x-7)}\\\rule{150}{0.5}[/tex]
[tex]\boxed{\text{\underline{Converting into Slope-Intercept:}}}\\\\y-1=7(x-7)\\\rule{150}{0.5}\\\\\rightarrow y - 1 = 7x - 49\\\\\rightarrow y - 1 + 1 = 7x -49 + 1\\\\\rightarrow \boxed{y=7x -48}\\\rule{150}{0,5}[/tex]
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Given the definitions of f(x) and g(x) below, find the value of
(gof)(0)
f(x) = -3x + 5
g(x) = 2x² + 2x - 3
What statement is true
An opaque bag contains 27 yellow marbles and 9 teal marbles. If two marbles are randomly chosen from the bag at the same time, find the probability that both marbles are teal. Round your answer to four decimal places.
Answer:
1 out of 9
Step-by-step explanation:
I did this on khan academy a minute ago
Probability that both marbles are teal is 0.0571
What is probability ?Probability is a field of mathematics concerned with numerical representations of the likelihood of an event occurring or a statement being true.
What is the probability that both marbles are teal ?Using the given informationNumber of yellow marbles = 27
Number of teal marbles = 9
Two marbles are drawn randomlyProbability that both marbles are teal
[tex]=\frac{9}{36}\times \frac{8}{35} \\=0.0571[/tex]
Hence the probability that both marbles are teal is 0.0571.
Learn more about the probability at
https://brainly.com/question/25870256
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there are 24 ducklings swimming in the pond there are also adult ducks there are 5 ducklings and 1 adult ducks how many ducklings are swimming in the pond
Answer:
so there is 29 swimming tbh ion knoe
Step-by-step explanation:
umm just add 24+5+1 yeah!
Answer:
since the other answer is wrong
if there are 5 ducklings ang 1 adult duck the total would be 6 because[tex]5+1=6[/tex]next we need to times the total ducks by 4so [tex]5[/tex] x [tex]4=20[/tex]then [tex]1[/tex] x [tex]4=4[/tex]so for the final answer [tex]6[/tex] x [tex]4[/tex] is [tex]24![/tex]so this is what it would look like
ducklings
5 20
adult ducks
1 4
total ducks
6 24
what are the steps to this math problem 3+6(5+4)=
Find the sides of a rectangle whose area is given as x2 +15x +56.
x^2 + 15x + 56
Good way to factor quadratic functions:
In a function x^2 +bx + c
Find two number that when multiplied together will form c (in our case 56) and that when added together form b (in our case 15)
Number 1 x Number 2 = 56
Number 1 + Number 2 = 15
Number 1 = 8
Number 2 = 7
(It'll be easier to find these numbers with practice)
Now in the function instead of bx, split it and use (number 1)x + (number 2)x
It's allowed because it's the same value since N1 + N2 = bx already
x^2 + 15x + 56
Now is:
x^2 + 8x + 7x + 56
Now you can factor this function much easily because it can transformed into:
(x + 8)(x) + (x + 8)(7)
x + 8 is the common factor
it can become:
(x + 8) (x + 7)
The sides of the rectangle are 8 and 7
Hope this helps you with factoring :)
Arrange these numbers in order from least to greatest.
0.125
2.5%
1/4
Answer:
2.5%, 0.125, 1/4
Step-by-step explanation:
Help me pls
Thank u ☺️
Answer:
Step-by-step explanation:
Add the -5.57 to both sides then divide it by 2 which is -0.91
Find the area of this figure. Round your answer to the nearest hundredth. Use 3.14 to approximate
Step-by-step explanation:
Area of a Triangle:
bh/2
8 ft is the given height
6 ft is the given base (or width)
(8)(6)/2
48/2
= 24 ft²
In addition to this, we will have to find the area of the semicircle.
Area of a Semicircle:
πr²/2
The question tells us to use 3.14 in place of π.
3.14r²/2
The diameter is 8 ft as it is given to us in the diagram, but in the formula we would have use the radius, and because the radius ia half of the diameter we will divide 8 by 2.
8/2
= 4
3.14(4)²/2
Solve...
3.14(16)/2
50.24/2
= 25.12 ft²
Now that we have found the area of both the triangle and the semicircle, we can add them together to find the area of the figure.
24 ft² + 25.12 ft²
= 49.12 ft²
Our final answer is A=49.12 ft² because it is already in the hundredths place.
No links pls
Evaluate 6 to the power of negative 2
A. -1/36
B. -12
C. -36
D. 1/36
Answer:
Positive 1 over 6 raised to the 2nd power 1/62 or 1 over 36 which is 1/36. To find -6-2, take the inverse of -62.
(first find -62) -62 = -6 * -6 = 36
(then take the inverse of 36, which is 1 over 36) = 1 / 36 = 0.0277
so, -6-2 =0.0277
Step-by-step explanation:
Answer:
whqt other dude said B)
Step-by-step explanation:
Question 4
This Test: 24 pts possible
Enter your search term
The exercise statement and the correct answer is given. Select the correct directions from "Find the
opposite," "Find the reciprocal," or "Evaluate or simplify."
- 16
Answer: 16
...
Choose the correct answer below.
O A. Find the reciprocal.
OB. Find the opposite.
O C. Evaluate or simplify.
Answer:
Reciprocal is -1/16
opposite is +16 or 16
so answer is 16 is opposite of -16
simplify each expression by combining like terms -x+8x
Answer:
7x
Step-by-step explanation:
when you add -1 aka -x to 8 8x it takes away one, so 7x
According to www.cleanair.org, the amount of trash generated in the US in one year
averages out to 112,000 pounds of trash per person. Write this number in scientific
notation.
Answer:
The scientific notation:11,200×10^1
1,120×10^2
112×10^3
11.2×10^4
1.12×10^5
0.112×10^6
Step-by-step explanation:
PLS MARK BRAINLIEST
help me guys !!!!!!!!
Answer:
67
Step-by-step explanation: because your x for y and x
someone help please haha
Answer:
{-8, -7, 0, 6, 9}
Step-by-step explanation:
1. The range of a relation is the set of its possible output values, also known as the y-values of a function.
2. Let's find the y-coordinate of each point.
[tex]9, 6, 0, -7, -8[/tex]3. Now, let's order them (from least to greatest) to get the range.
[tex]-8, -7, 0, 6, 9[/tex] {-8, -7, 0, 6, 9}Therefore, the range of this relation is {-8, -7, 0, 6, 9}.
In Exercises 15–20, find the remaining zeros of a polynomial
P(x) with real coefficients and with the specified degree
and zeros.
19. Degree 6; zeros: 0, 5, 1, 3i
Answer:
sending love to you that work is hard
Answer:
Assuming that the multiplicities of the five aforementioned roots ( {0, 5, 1, 3i, -3i} ) are each 1, the 6th zero can be any real number.
Step-by-step explanation:
Because P(X) has real coefficients, and 3i is a zero, we conclude that -3i is also a zero of P(X). Assuming that the multiplicities of the five aforementioned roots ( {0, 5, 1, 3i, -3i} ) are each 1, the 6th zero can be any real number.
Question
Find the equation of the line with slope m
=
2 that contains the point (8,19).
Answer: y= 2x + 3
Step-by-step explanation:
Point slope formula: y = mx + b
Since the given point is (8,19), 19 is our y, and 8 is our x. Since the slope is 2, our m is 2.
Sub in values.
y = mx + b
19 = 2(8) +b
19 = 16 + b
b = 19-16
b = 3
Now that we have m and b, we can make the equation.
y = mx + b, sub in 2 for m and 2 for b
y = 2x + 3
19 = 2(8) + 3
19 = 16 + 3
19 = 19
So the answer is y = 2x+3
Is the graph of g(x) =x2 - 1
symmetric with respect to the origin? Explain how you determined your answer.
1 X 30 =
0.1 X 30 =
0.01 X 30 =
Answer: 0.3
Step-by-step explanation:
i used a calculator ya hope this helps
5(2x – 3) = x – 15 + 9x for x
see the attachment
hope it helps
Answer:
Step-by-step explanation:
5(2x – 3) = x – 15 + 9x
10x-15=10x-15
10x-10x=15-15
0=0
Find the length s of the circular arc. (Assume r = 2 and = 116°.)
Answer:
length of an arc = θ/360 × 2πr
θ=116°
r=2
π= 3.14
l= 116/360 ×2×3.14×2
l= 4.047= 4.05cm
what is 0.8^2 3.15 please i need the answer by tonight
Answer:
2.016
Step-by-step explanation:
In your equasion, I couldn't tell if you need to multipy 0.8^2 by 3.15 or are you asking something else? If you want to multiply, the answer is 2.016.
There is a bag filled with 3 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting 2 reds?
Answer:
5/14Step-by-step explanation:
There are 5 red marbles out of 8.
The probability of the first red:
P(r1) = 5/8Now we have 7 total marbles and 4 of them are red.
The probability of the second red:
P(r2) = 4/7The probability of two red is:
P(rr) = 5/8*4/7 = 5/14Use the graph to determine the y intercept
Answer:
y intercept is where it crosses the y axis so therefore the 9 intercept has got to be 9.
the roots of the graph show that:
zeros: -3, -1, 1, 3 y-intercept: 9
Use the given information to write an equation and solve the problem.
(28-31 in the picture)
Answer:
28. 120 degrees
29. 30 degrees
30. 56 degrees & 124 degrees
31. 72 degrees, 108 degrees, and 18 degrees
Step-by-step explanation:
We assign variable x for the answer we are looking for (28-29).
28.
Supplement means x + y = 180 degrees. We also know x = 2y. Substitution gives us 3y = 180 degrees, so y = 60 degrees and x = 120 degrees.
29.
Complement means x + y = 90 degrees. We are given 2x = y. Substitution brings us 3x = 90 degrees, x = 30 degrees.
30.
Supplement means x + y = 180 degrees. We are told that y = 2x + 12, so we substitute. This gives 3x + 12 = 180 degrees, x = 56 degrees. Substituting that back into the equation for y, we get 124 degrees.
31.
Supplement means x + y = 180 degrees. Complement means x + z = 90 degrees. Using our given info, we know y = 6z. We can substitute that in to get x + 6z = 180. Subtracting our second and third equations, we get 5z = 90, z = 18 degrees. Therefore, x = 72 degrees, y = 108 degrees.