The cost of an limited edition figurine starts at $255 and it increases in value by 8% each year. What is the growth or decay rate as a decimal? What is the initial value? Write an exponential model that represents the cost f (t) of the figurine t years after it's bought. After 6 years the figurine's value is ?
Answer:
Growth rate = 8% = 0.08
Initial value (Po) = $255
F(t) = Po* e^rt
F(t) = $412.09897
Step-by-step explanation:
Given that:
Initial cost = $255
Rate of increase per year (r) = 8% = 0.08
Growth rate :
Final amount = Initial amount * (1 + rate)^time
Growth rate = 8% = 0.08
Initial value (Po) = $255
Exponential model for the cost :
F(t) = Initial value * e^(rate * time)
F(t) = Po* e^rt
Value after 6 years :
F(t) = Po* e^rt
t = 6
F(t) = 255 * e^(0.08*6)
F(t) = 255 * 1.6160744
F(t) = $412.09897
Betsy works from 6:00 AM to 12:00 PM, takes an unpaid lunch break from 12:00 PM to 1:00pm, then works from 1:00 PM to 3:30 PM. How many hours did Betsy work?
Answer:
9 hours and 30 mins
Step-by-step explanation:
Betsy works for about 9 hours 30 minutes daily.
What are mathematics operations?
A mathematical operation is a function that converts a set of zero or more input values (also called "b" or "arguments") into a defined output value. The number of operands determines the operation's arity. Most commonly studied operations are binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive and multiplicative inverses.
• Zero-arity operations, or nullary operations, are constants, and mixed products are arity three operations, or ternary operations.
Calculating time of Betsy total work for getting paid :
Betsy Working from 6:00 AM to 12:00 PM = 6 hour
Betsy takes an unpaid lunch break from 12:00 PM to 1:00pm = 1 hour
Betsy Working from 1:00 PM to 3:30 PM = 2.5 hour
Now adding-up all the time = 6 + 1 + 2.5 hour = 9.5 hours or 9 hours 30 minutes.
Therefore, Betsy works for about 9 hours 30 minutes daily.
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Use the drop-down menus to complete the solution to the equation cos(pie/2-x)=square root 3/2 for all possible values of x on the interval [0,2pie].
Answer:
0
1
sin
3
3
Step-by-step explanation:
These are the answers in order from every blank
The value of cos(π/2) is 0 sinπ/2 is 1 further sinx = √3/2 thus x = π/3,2π/3.
What is a trigonometric function?The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.
The trigonometric function is very good and useful in real-life problems related to the right-angle triangle.
As per the given trigonometric equation,
cos(x)cosπ/2 + sin(x)sinπ/2 = √3/2
Since, cosπ/2 = 0 and sinπ/2 = 1
cos(x)(0)+ sin(x)(1) = √3/2
sinx = √3/2
sinx = sin π/3 = sin 2π/3.
Hence "The value of cos(π/2) is 0 sinπ/2 is 1 further sinx = √3/2 thus x = π/3,2π/3".
For more information about the trigonometric function,
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work out 1/2×7 write your answer mixed
Answer:
1/2 x 7= 3.5
Step-by-step explanation:
Tom drove at a constant speed of 50 miles per hour for 2.5 hours.
Albert drove at a constant speed of 65 miles per hour for 2 hours.
Who drove farther? How many more total miles did he drive?
Use the equation d =r xt to solve.
drove farther. He drove
more total miles.
Answer:
Albert by 5 more miles
Step-by-step explanation:
Tom: 50 * 2.5 = 125 miles
Albert: 65 * 2 = 130 miles
Albert drove for more miles
130-125 = 5 miles
Albert drove for 5 more miles
If you ride your bike around the block that is 20 meters returning to the exact point where you started your displacement is___m?
A 0m
B20m
Avery is making a necklace for her mothers birthday. She uses 1 1/20 strings of black beads and 1 4/5 more strings of gray beads than black beads. How many strings of gray beads did she use?
.
Answer:
She used 2 17/20 strings of grey beads
Step-by-step explanation:
Here, we want to know the number of grey beads used
To calculate this, we simply add up the black beads number with the number of grey beads
Mathematically, that will be;
1 1/20 + 1 4/5
= 21/20 + 9/5
= (21 + 36)/20
= 57/20 = 2 17/20
Triangles practice, need help.
Please help if you can :(
Answer:
its b
Step-by-step explanation:
SO 2 chairs are left out. If there are 4781 chairs, find the
The cost of levelling a square lawn at 32 per sq. metre is 3 6272. Find its one side. Also find the cost of
fencing it at 3 per meter.
Answer:
u need 2321 chairs
Step-by-step explanation:
there u go
Without using a calculator, fill in the blanks with two consecutive integers to complete the following inequality. \,<\sqrt{32}<\,< 32
Answer:
Could you retype the equation so it isn't jankey?!
Step-by-step explanation:
the perimeter of a rectangle is 8x+10. if the length is 2x+8 what is the width?
Answer:
Step-by-step explanation:
8x+10 - 4x+16 = 4x-6
w= 2x-3
Are these two triangles congruent?
Yes
No
Not enough information?
Ten times a number increased by four is no more than twenty-five.
Answer:
10x + 4 < 25
Step-by-step explanation:
The correct answer is:
10x + 4 < 25
which of these expressions represent a 15% tip on a $20 meal? which represent the total bill?
Answer:
3
Step-by-step explanation:
20x0.15
= 3
Answer:
Well I didn't understand this question to well, but I think 15% of a $20 meal is ($3.00). OR
20x0.15
= 3
Step-by-step explanation:
I hope this helped! :)
kind of stuck here , & yeah I need help , please help omg-
Answer: (4,-6) , do u need help on the bottom question?
Step-by-step explanation:
The state Capitol building in Baton Rouge, Louisiana, is 450 feet tall. Ella's scale model of the building uses the scale 25 feet = 10 inches. How tall is Ella's model?
Introduction to nonlinear models
Complete the table below.
Answer:
The table will be:
x y = 2x² y = 2ˣ
0 0 1
1 2 2
2 8 4
Step-by-step explanation:
Given the non-linear equations
y = 2x²
y = 2ˣ
When x = 0y = 2x²
y = 2(0)² =0
y = 2ˣ
y = 2⁰ = 1
When x = 1y = 2x²
y = 2(1)² = 2
y = 2ˣ
y = 2¹ = 2
When x = 2y = 2x²
y = 2(2)² = 8
y = 2ˣ
y = 2² = 4
Thus, the table will be:
x y = 2x² y = 2ˣ
0 0 1
1 2 2
2 8 4
Why is it so hard for people to learn math?
Answer:
I don't know, I kind of wonder the same thing sometimes. But everyone understands things at a different rate, so that's why I'm here helping people by answering their questions and doing my best to explain how I got there.
thank you for the free points though :)
Answer:
because they are over thinking easy thing and getting stressed out.
Step-by-step explanation:
this is what happened to me
anyone help please will give brainliest
9514 1404 393
Answer:
7. y = f(x +2) -7
8. y = -f(x -5)
9. y = f(-x) +3
Step-by-step explanation:
The general transformation can be written ...
y = a·f(b·(x -c)) +d
'a' is the vertical expansion factor. A negative value means the graph is reflected over the x-axis.
'b' is the horizontal compression factor. A negative value means the graph is reflected over the y-axis.
'c' is the number of units of right-shift.
'd' is the number of units of up-shift.
__
7. 2 left and 7 down means (c, d) = (-2, -7), so the transformed function is ...
y = f(x +2) -7
__
8. reflected over x and 5 right means (a, c) = (-1, 5), so the transformed function is ...
y = -f(x -5)
__
9. reflected over y and up 3 means (b, d) = (-1, 3), so the transformed function is ...
y = f(-x) +3
_____
The graph shows an asymmetrical function that makes it possible to tell what the transformations are. The original is dashed orange. The various y-values correspond to the problem numbers. You can see that the transformations match the problem statements.
A boat traveled 300 miles in 15 hours. What rate did the boat travel in miles
per hour?
1. 2
2. 20
3. 30
4. 285
Answer:
2.20 ms
Step-by-step explanation:
distance divided by time
300÷15=20
A large multiplex movie house has many theaters. The largest theater has 50 rows. There are 12 seats in the first row. Each row has two seats more than the previous row. How many total seats are there in this theater?
Answer:
a(50) = a(1)+ (50-1)d = 20 + 34*2 = 20+78 = 98
Ans: S(50) = (n/2)(a(1)+a(50)) = (50/2)(20+98) = 50*59 = 1365
Step-by-step explanation:
On a coordinate plane, trapezoid A B C D has points (negative 5, negative 2), (negative 1, 2), (0, negative 1), (negative 2, negative 3).
Trapezoid ABCD is graphed in a coordinate plane.
What is the area of the trapezoid?
10 square units
12 square units
20 square units
24 square units
answer on 12 square units
Answer:
B
Step-by-step explanation:
The answer to this question
Answer:
divide 9 and 21
Step-by-step explanation:
if you divide 9 and 21 u will get ur answer
HELP PLEASE AND THANK YOU!!
Here is a list of numbers:
20, 8, 6, 11, 3, 15, 11 ,20 ,12 ,13
State the median.
Answer: 18
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
1. Arrange the numbers from least to greatest.
3,6,8,11,11, 12,13,15, 20
2. Start from the two ends and cross them off until you're left with what's in the middle.
6,8,11,11,12,13,15
8,11,11,12,13
11,11,12
11
3. The median is 11 because that is the number you are left with.
If a baseball travels at 90 mi/h, how many seconds does it take to travel 60 ft.?
Answer:
0.458 seconds
Step-by-step explanation:
dont get mad when its wrong
0.458 seconds
You already know that the ball travels at 90 mi/hr. 60.5 1/475200 = 0.00012732 hours. This is still a small number so express it in seconds. 0.0076389 minutes = 60 0.0076389 = 0.458 seconds. (this from google btw)
PLEASE HELP ASAPPPP!!???
Answer:
I dont know what does the long question requires.If is the question of 17 problem then i have explained and solved .If not then I dont know what to do.
Which matrix represents the total expected?
O A.
[20
24
20
8
2201
264
220
88
B.
200
240
200
80
E.
[240]
288
240
96
C.
(210)
250
210
90
Answer: the answer is B
Step-by-step explanation:
You add the A,B,C numbers together for the soda for example,
Cola: 70(A) + 30(B) + 100(C) = 200
Now you just continue that for the other sodas hope this helps :)
3v - 10 = -14 what is the answer
Answer:
v= -3/4
Step-by-step explanation:
i think that's the answer djxndnxnnx
Answer:
3v=-14 +10
3v=-4
v= - 4/3
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