Answer:
A)
$16412.40.
B)
Our culminate decay factor was 0.82062.
C)
0.861651. It represents decay because it's less than one.
D)
We need at least a 16.1% increase.
Step-by-step explanation:
We started off with $20,000. In the first year, we lost 10%. In the second year, we lost an additional 6%, and another 3% in the third year. During the fourth year, however, we regained 5%.
Part A)
In the first year, we lost 10% of our original investment. In other words, we will have left 100% - 10% or 90% of our original investment. So, after the first year, we will have:
[tex]20000(0.9)=\$ 18000[/tex]
During the second year, we lost another 6%. So, it will be 100% - 6% = 94% = 0.94 of our current investment. So, after the second year, we will have:
[tex]18000(0.94)=\$ 16920[/tex]
Finally, during the third year, we lost 3%. So, it will be 100% - 3% = 0.97 of our current investment:
[tex]16920(0.97)=\$ 16412.4[/tex]
After the first three years, our investment dwindled down to $16412.40.
Part B)
We started off with $20,000 and ended up with $16412.40. Let r represent the decay factor. We can write the following equation:
[tex]20000d=16412.4[/tex]
This reads, "our original investment of $20,000 by multiplied by some (decay) factor equals our current investment of $16412.4."
Solve for d:
[tex]\displaystyle d=\frac{16412.4}{20000}=0.82062[/tex]
So, our decay factor is 0.82062.
(Note: This means that our rate of decay was 1 - 0.82062 = 0.17938. So, we lost approximately 18% of our investment over the course of the three years.)
Part C)
After the third year, our investment was $16412.40.
During the fourth year, we gained 5% on our investment. So, it will be 100% + 5% = 105% = 1.05 of our current investment:
[tex]16412.4(1.05)=\$ 17233.02[/tex]
Again, we can write an equation:
[tex]20000d=17233.02[/tex]
Where d represents the culminative factor after four years.
Solving for d yields:
[tex]d=0.861651[/tex]
Since the culminative factor is less than one, this is decay.
Decay is also correct contextually, since after four years, our current investment is lower than our original investment.
Part D)
After the fourth year, we have $17233.02.
In order to find the percent increase to rereach $20,000, we can write an equation:
[tex]17233.02d=20000[/tex]
Solving for d yields:
[tex]\displaystyle d\approx 1.1606[/tex]
So, the growth factor is about 1.1606.
This means that during the fifth year, we will need to grow by 1 - 1.1606 or about 16.1% in order to rereach our original investment of $20,000.
___ - 35 = -103
answer fast pls
Answer:
-103 + (-35) = -138
138 - 35 = -103
138= answer
Step-by-step explanation:
yw <3
For which of the following inequalities is x > 4 a solution?
Answer:
C.
Step-by-step explanation:
Answer:
Your answer is C
Step-by-step explanation:
X-3 > 1, Add the 3 to both sides of the inequality.
X > 4
Please answer the question CORRECTLY with a logical explanation. You will get brainliest guaranteed.
Answer:
B
Step-by-step explanation:
3/5 == 0.6
Which part of the line is 0.6?
A < 0.5 so there's no way A can be the answer.
C > .75 so it can't be the answer either.
D > 1.5 so it can't be the answer either.
B is the only answer left and it sits just right in front of 0.5, which is close to 0.6.
PLEASE HELP ME PLEASE
Answer:
1. c
2. b
3. a
4. d
5. e
6. f
Step-by-step explanation:
Round to the nearest hundredth (2 decimal places) when necessary
Answer:
309.76 is the answer
hope this helps
have a good day :)
Step-by-step explanation:
1. The sum of twice a number and 4 times another number is 4. The difference of the
numbers is 5. Find the numbers.
9514 1404 393
Answer:
4, -1
Step-by-step explanation:
We can let x and y represent the two numbers. The first relation is ...
2x + 4y = 4
The second relation is ...
x - y = 5
Subtracting the second relation from half the first gives ...
1/2(2x +4y) -(x -y) = 1/2(4) -(5)
3y = -3
y = -1
From the second relation, ...
x = 5 +y = 5 -1 = 4
The two numbers are 4 and -1.
6x+4=4x+24...................
Answer:
x = 10
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
10 = 28
Step-by-step explanation:
6 x 1= 6 = 4x1+24=28
9)
Find the average rate of change for f(x)= x to the second power+ 7x+10 from x= 0 to x= 2
.
Answer:
9
Step-by-step explanation:
At x=0, this function's y-value is simply 10. At x=2, the y-value is 28.
We can figure this out by using the slope formula.
[tex](y^2-y^1)/(x^2-x^1)[/tex]
We plug in values to get:
[tex](28-10)/(2-0)[/tex]
18 / 2
9
What is the quotient of (x4 + 10x3 + 21x2 + 6x – 8) ÷ (x + 2)? Question 8 options: A) x3 + 8x2 + 5x – 4 + 2∕x + 2 B) x3 + 8x2 + 5x + 4 C) x3 + 8x2 + 5x – 4 + 2∕x - 2 D) x3 + 8x2 + 5x – 4
Answer: C
Step-by-step explanation: Hope this help :D
I need help with both of these please..
Answer:
20. bcg
21. 124
Step-by-step explanation:
For each right triangle below, find the missing side (Pythagorean’s Theorem) and the missing angle (Angle Sum theorem.)
Answer:
a=21.2
n=√29
Step-by-step explanation:
[tex]90+68.2+a=180[/tex]
[tex]a+158.2=180[/tex]
[tex]a=21.2[/tex]
[tex]2^2+5^2=n^2[/tex]
[tex]4+25=n^2[/tex]
[tex]n^2=29[/tex]
[tex]n=\sqrt{29}[/tex]
I will give 90 points!!!
A number cube is rolled. what is the probability of rolling 2, 3, or 5?
a. 2/3
b. 1/2
c. 1/3
answer: 1/2
Step-by-step explanation:
Assuming this is a 6 sided number dice The answer would be 3/6 but in simplest form 1/2 because 2, 3, and 5 is half of the numbers on a dice example: 2, 3, 5, 1, 4, and 6 are all the possibilities Hope this helps!
rani finishes painting her room at 4:17 p.m. She painted for 42 minutes
Answer:
Uh this question Im not sure what you're asking, but if it's when it started, than the answer is 3:35
Step-by-step explanation:
Rani started painting her room at 3:35 p.m. (or 15:35 in 24-hour format).
To determine the time at which Rani started painting her room, we can subtract the duration of time she painted (42 minutes) from the time she finished (4:17 p.m.).
1. Convert the time to a consistent format: Since Rani finished painting at 4:17 p.m., we can represent this as 16:17 in 24-hour format.
2. Subtract the duration of time: Subtracting 42 minutes from 16:17 gives us 15:35.
In a simple manner:
First, we convert the time to a 24-hour format for easier calculation.
4:17 p.m. is equivalent to 16:17 in the 24-hour format.
Now, we subtract 42 minutes from 16:17:
16:17 - 42 minutes = 15:35
Therefore, Rani started painting at 3:35 p.m.
To learn more about subtraction;
https://brainly.com/question/2346316
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The complete question:
Rani finishes painting her room at 4:17 p.m. She painted for 42 minutes.
What time did she start painting?
A bag contains marbles of which 8 are blue; 5 are red; 3 are yellow, and 4 are orange. What is the probability of randomly drawing an orange marble, replacing it, and then drawing a blue marble?
write the quadratic formula y=x^2-6x+7 in vertex form.
Answer:
Step-by-step explanation:
Start like this: x^2 - 6x = -7. Now you have the x terms on one side and the constant on the other. Take half the linear term (-6x) which is 3 and then square that (9) and add it to both sides, giving you x^2 - 6x + 9 = -7+ 9, or x^2 - 6x + 9 = 2. Now make the left side into the perfect square binomial you created by completing the square: (x-3)^2 = 2, and then move the 2 over to get: (x-3)^2 - 2. That's the vertex form for a parabola with a vertex at (3, -2)
Brad has 17 balloons. 8 balloons are red and the rest are green. How many green balloons does Brad have?
Answer:
9 green balloons
Step-by-step explanation:
17-8=9
Answer:
Brad has 9 green balloons.
Step-by-step explanation:
......
Using the graphing function on your calculator, what is the solution to the system of equations show below?
y + 2x5
4y+ 5x = 14
A. x=2, y=1
B. More than 1 solution
C. x= 1, y = 2
D. No solution
Answer:
ima redo my answer but
Step-by-step explanation:
For y +2x5 is that an times sign or wht cause i can't answer that unless thats cleared up first
Find the measure of the arc or angle indicated
J
degrees
angle GHJ =
degrees
angle GIJ =
Answer:
360 degrees = 68 + 31 + 115 + GJ
GJ = 360 -68 -31 -115
GJ = 146
Inscribed Angle = 1/2 of intercepted arc
Angle GHJ = 146 / 2 = 73 degrees
Angle GIJ = 146 / 2 = 73 degrees
Source: http://www.1728.org/circangl.htm
Step-by-step explanation:
tan0 + 1=0
write your answer in radians in terms of pi
Answer:
Our range is within [0,2π]
We cant exceed that.
tan∆ + 1=0
tan∆= -1
∆=tan-¹(-1)
∆=-45°
Now it has 3 Solutions within the given interval
-45° x π/180 = -π/4
So For the second quadrant... 180-∆ = 180-45 =135°
It is true for tan(135) Which is also equal to -1
135xπ/180 = 3π/4
then
360-45 = 315
This is also true because tan(315)=-1
315° x π/180 = 7π/4
This is where we stop so we dont exceed the given range.
What quantity of 75 per cent acid solution must be mixed with a 30 per cent solution to produce 1080 mL of a 50 per cent solution?
Answer: 480 mL, 600 mL
Step-by-step explanation:
Given
The concentration of the first acid is 75%
The concentration of the second acid is 30%
The final mixture has a concentration of 50%
The final volume is 1080 mL
Suppose x and y be the volume of the first and second acid
[tex]\therefore x+y=1080\quad \ldots(i)\\0.75x+0.3y=0.5\times 1080\quad \ldots(ii)[/tex]
Solving the above equations we get
[tex]x=480,y=600[/tex]
So, the quantity of the first acid is 480 mL and 600 mL for the second mixture.
Which equation shows that the Pythagorean identity is true for 0 = 360°?
Select the equation that is in the form sin20 + cos20 = 1.
A. (-1)² +02 = 1
B. 02 + 12 =1
O c. 12 + 02 = 1
D. 02 + (−1)2 = 1
If the measure of an angle is 360°, then the value of sin²θ + cos²θ = 1 will be 0² + 1² = 1. Then the correct option is B.
What is a Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|² = |AB|² + |BC|²
where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).
The equation is given below.
sin²θ + cos²θ = 1
If the angle is 360°. Then the equation will be
sin²360° + cos²360° = 1
0² + 1² = 1
Then the correct equation is B.
Learn more about the Pythagoras theorem here:
https://brainly.com/question/12105522
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Answer:
Step-by-step explanation:
it’s B
b) If it costs £4 to buy 5 pens, how much will it cost to buy 8?
Answer:
10 because you need to find how much one pen would cost. So you decide 5 and 4. the result would be 1.25 then you multiple the result by 8. you get 10
the graph of liner function f passes through the point (1,-9) ad has a slope of -3 what is the zero of f
Answer:
answer is 4 im pretty sure
Step-by-step explanation:
did da math
help fast i’m bad with math help
Answer:
D. She should find the average of 4.4 and 4.5
Explanation:
(4.4 + 4.5)/2 = 4.45
4.45² ≈ 19.80
4.45² is closer to 20 than 4.4² and 4.5²
next she will repeat the same process: (4.45 + 4.5)/2
need help for an assignment please and thank you.
In a college, there are 800 students in the first year, 950 students in the second year and 1000 students in the third year. If this data were graphed as a pie chart, what would be the size of the angle in the third year?
Answer: [tex]130.9^{\circ}[/tex]
Step-by-step explanation:
Given
The number of students in the first year is 800
The number of students in the second year is 950
The number of students in the third year is 1000
If this data is graphed on a pie chart, then the area percentage of area occupied by third years is
[tex]\Rightarrow \dfrac{1000}{1000+950+800}\times 100=36.36\%[/tex]
Now, the angle around the center of the circle is [tex]360^{\circ}[/tex]
[tex]\therefore \text{angle covered by third years=}0.3636\times 360^{\circ}\\\Rightarrow 130.896\approx 130.9^{\circ}[/tex]
Convert.
800 oz = lb
Answer:
50 lbs
Step-by-step explanation:
Plz mark brainliest
ANSWER ASAP DONT SEND A FILE WHATS THE TRANSFORMATION??
Answer: reflection, translation
Step-by-step explanation:
Answer:
Copy the link and email who you need to send it to
Step-by-step explanation:
This should work
Which table represents an exponential function of the form y= b^x when 0 < b < 1?
Answer:
table b
Step-by-step explanation:
Edge
2. Write the expression 23/5 as a radical.
Need help!!!!!!!!!!!!
Answer:
OPTION D
2^³/5
= 5√2^3
Option D is legit.