The V(t)=1.50(1.17)^t represents the value V (t), in dollars, of a comic book t years after its purchase in 2000. Determine the annual growth rate in the value of the comic book and its value in 2025.
Answer:
Growth rate is 17%
2025 value is $76
Step-by-step explanation:
Here, we want to determine the annual growth rate
The general equation form is;
F = l( 1 + r)^n
where F is the future value
I is the initial value
r is the growth rate
n is the numbering years
To get the growth rate, we simply equate what we have in the bracket to 1 + r
Thus;
1 + r = 1.17
r = 1.17-1
r = 0.17
0.17 is same as 17/100 which is same as 17%
Secondly, we want to get the value of the book in 2025
What we have to do here is to substitute (2025-2000) for t which is 25
We have;
V(t) = 1.50(1.17)^25
V(25) = 75.986 which is approximately 76
We will see that the annual growth rate is of 17%, and in the year 2025, the value will be $75.99.
Exponential growth functions:
A general exponential growth can be written as:
f(x) = A*(1 + r)^x
Where A is the initial value and r is the growth rate. Now we can rewrite our function to get:
V(t) = 1.50*(1 + 0.17)^t
Then you can see that the growth rate is 0.17, or 17% in percentage form (to get it just multiply it bt 100%).
To get the value of the comic book in 2025 you just need to evaluate the function in t = 25 (25 years after the 2000).
V(25) = 1.50*(1 + 0.17)^25 = 75.99
So the value in 2025 is $75.99
If you want to learn more about exponential equations, you can read:
https://brainly.com/question/11832081
If gross pay increases by $500, total employee benefits increase by $200 and total job expenses decrease by $300, then total employment compensation _____.
Answer:
Answer: D). increases by $1,000
Step-by-step explanation:
Can someone please help me?
9514 1404 393
Answer:
x = 26
Step-by-step explanation:
The sum of the measures of the angles in a triangle is 180°.
(2x)° +50° +(3x)° = 180°
5x +50 = 180 . . . . . . . divide by °, collect terms
x +10 = 36 . . . . . . . . . divide by 5
x = 26 . . . . . . . . . . . . . subtract 10
4185 +36 +28+718 ........
bill won 50 lollipops playing the bean bag toss at the country fair. at school he gave three to every student in his math class. he only has 2 remaining. how many students are in his class?
Answer:
16 kids
Step-by-step explanation:
50-2=48
48/3=16
What is the area of this polygon?
5-sided polygon on a coordinate plane with points M, V, E, D, and R. Point M is at (negative 5, 2), point V is at (negative 2, 3), point E is at (3, 3), point D is at (3, negative 3), and point R is at (negative 2, negative 3).
Answer:
I got 27.5 but I'm not 100%sure
Answer:
39 units
Step-by-step explanation:
Find a coordinates of the midpoint of the line segment with the given endpoints (7,4), (9,-1)
Answer:
Coordinates of midpoint are (8,1.5).
Step-by-step explanation:
Given coordinates of end points are;
(7,4) and (9,-1)
we can find the coordinates of mid-point,
[tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
Here,
x1 = 7 and y1 = 4
x2 = 9 and y2 = -1
Putting these values in formula
Coordinates of mid point = [tex](\frac{7+9}{2},\frac{4+(-1)}{2})\\[/tex]
Midpoint = [tex](\frac{16}{2},\frac{4-1}{2})[/tex]
Midpoint = [tex](\frac{16}{2},\frac{3}{2})[/tex]
Midpoint = 8 , 1.5
Hence,
Coordinates of midpoint are (8,1.5).
What percentage of a dollar is the value of 1 nickel and 3 pennies?
Answer:
50%
Step-by-step explanation:
What equation has a slope of 3/2 and a y intercept of 5
Answer:
[tex]y = \frac{3}{2} x + 5[/tex]
Step-by-step explanation:
[tex]y = mx + b[/tex]
m = slope
b = y intercept
[tex]y \: = \frac{3}{2} x + 5[/tex]
One number is twelve less than another number. The total of the two numbers is 154. Find both numbers.
Answer:
83 and 71
Step-by-step explanation:
One number is twelve less than the other number
Let the one number be x
Let the other number be x - 12
Since one number is 12 , less than the other number, and the total of the two numbers is 154, then, we'll have
x + x - 12 = 154
2x = 154 + 12
2x = 166
x = 83
Therefore, both numbers would be;
First number = x = 83
Second number = x - 12 = 83 - 12 = 71
find the value of 6+(-4)
*explain how to solve*
2
Step-by-step explanation:
adding a negative number to another number is the same as subtracting
Madison wants to buy a new iPhone. The regular price is $989. Apple is offering a 15% discount and a sales tax of 7% is added after the discount. What is the total cost of the iPhone?
Answer: $899.50
Step-by-step explanation:
Traveling 10 meters in 1/3 of a second how fast was it going
Answer:
I guess he was traveling 30 meters every second.
(Which is pretty slow to be honest)
Step-by-step explanation:
This question doesn't really make sense since it says it right there he traveled 10 meters in 1/3 of a second. But I'm guessing that you want to find out how many meters per second.
Since 1/3 multiplied by 3 = 1
Then 10 multiplied by 3 = 30.
So, he traveled 30 meters every second.
30 is what percent of 600?
Answer:
180
Step-by-step explanation:
hope this helps!
Take x= -6 and y=4 find i) x+y,
ii) (x-y ) –x
iii) x 2 + y 2 +2xy
Answer:
I think it's either -3 or 10
Answer:
I) -2
ii) -60
III) 4
Step-by-step explanation:
i) x+y = -6+4=-2
ii) (x-y)-x = (-6-4)-(-6)= -60
III) x^2+y^2+2xy = (-6)^2+4^2+2(-6)(4)= 4
plz helpppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
d.....hope this will help u:))
13 to the power of 13
Answer:
3.0287511e+14
Step-by-step explanation:
13*13*13*13*13*13*13*13*13*13*13*13*13
Answer:
what he said
Step-by-step explanation:
3. A soccer team spent $216 on 15 new soccer balls. Each ball cost the same.
Part A
Estimate the cost of each soccer ball. Write an equation and solve.
Part B
Find the exact cost of each soccer ball. Compare your answer to your estimate to check for reasonableness.
Answer:
The equation is 216/20= 10.8 so about 11 dollars each
Step-by-step explanation:
Part B 216/ 15= 14.40 14.4 and 10.8 both round down so this awnser is reasonable
18 = 3 + 5x for x.
A. 1
B. 2
C. 3
D. 4
Answer:
C. 3
Step-by-step explanation:
subtract 3 from both sides
15 = 5x
Divide by 5 on both sides
3 = x
Answer:
c
Step-by-step explanation:
Brainliest to best answer, PLS HELPPP
Answer:
3n < 12.9
Step-by-step explanation:
Answer:
It's the last answer
Step-by-step explanation:
g(x) = 2x - 4
h(x)=x+2
Find (g - h)(-4)
=============================================
Work Shown:
(g-h)(x) = g(x) - h(x)
(g-h)(x) = (2x-4) - (x+2)
(g-h)(x) = 2x-4 - x - 2
(g-h)(x) = x - 6
(g-h)(-4) = -4 - 6
(g-h)(-4) = -10
--------------------
An alternative method:
g(x) = 2x-4
g(-4) = 2(-4)-4
g(-4) = -8-4
g(-4) = -12
h(x) = x+2
h(-4) = -4+2
h(-4) = -2
(g-h)(-4) = g(-4) - h(-4)
(g-h)(-4) = -12 - (-2)
(g-h)(-4) = -12 + 2
(g-h)(-4) = -10
Find the values of x and y
9514 1404 393
Answer:
x = 1y = 4Step-by-step explanation:
In order to solve this problem, we must assume the given triangles are congruent.
__
Equating expressions for the hypotenuse, we have ...
10x = 2x +8
8x = 8 . . . . . . . . subtract 2x
x = 1 . . . . . . . . . . divide by 8
Equating expressions for the bottom legs, we have ...
y +2x = 10x -y
2y = 8x . . . . . . . . add y-2x
y = 4x = 4(1) . . . . divide by 2, substitute for x
y = 4
Please help it due soon
Show workings!
Answer:
5
Step-by-step explanation:
Alright so this problem is like that other one i did where line RQx2 is equal to line SU
First we set up an equation
x+3=x-2
because line RQ is only 1/2 of line SU we multiple its side by 2 to get the new equation of
x+3=2x-4
step 1 subtract each side by 2x
-1x+3=-4
step 2 subtract each side by 3
-1x=-7
divide each side by -1
x=7
Next we plug in x (7) so 7-2=5
line RQ=5
The cost of a sweater at a clothing store was $35. The sweater went on sale at a discount of 20% off the original price. What is the sale price of the sweater?
Answer:
$28
Step-by-step explanation:
First, we have to find 20% of 35.
We can do that by multiplying 0.20 by 35. (0.20 x 35)
After multiplying them, we get a product of $7.
Since the sweater went on sale and they took 20% off of the original price, we have to subtract $7 from the original price of $35. (35 - 7)
We can solve that to get us the discounted price of $28
(sorry if this is confusing but I hope it helped)
Use a table to find (3k−1)(4k+9).
Answer:
12k^2+23k-9
Step-by-step explanation:
6th grade Math
Please solve!
Answer: 15. $180
16. b. $550
a. ?
Step-by-step explanation:
uh what is 70 times 70 and the square route of 30
Answer:
4900
Square Root of 30: 5.47722557505- round it up
Step-by-step explanation:
70x70
7x7=49
add the 2 zeros at the end
4900
Answer:
70x70=4900 and [tex]\sqrt{30} = 5.47722557505[/tex] [tex]can[/tex] [tex]be[/tex] [tex]rounded[/tex] [tex]to[/tex] [tex]5.48[/tex]
What is the solution to the equation
-(7x – 6) = 2(3x – 5) – 5x ?
what is x+y=6???? i need help asap and u will mark brainliest!!!
Answer:
0,6 6,0
Step-by-step explanation:
but hey use DESMOsS.COmM its super useful
Answer:
Step-by-step explanation:
there are a couple ansers
3+3=6
4+2=6
5+1=6
6+0=6
In the diagram, point X is the centroid. If
EX=8, what is the length of XC ?
Answer:
16
Step-by-step explanation:
If X is the centroid that means that EC is a median along with the other lines that intersect inside the triangle. Medians drawn from a triangle have a special rule; this rule is that all medians have a 2:1 ratio between the different sections of one median. For example, EC is one median with the two sections XC and EX. Therefore XC and EX have a 2:1, with the 2 representing the longer section closest to the vertex. This means that XC is double EX, so to find XC simply double EX measurement, which is 8. So XC must equal 16.
