Answer:
a)
initial value problem representing the salary is; S(t) = 1.[tex]e^{0.10t}[/tex]
b)
S(0) = 1
Therefore; S(0) is 1 million dollar
S(1) = 1.105170918075647
Therefore; S(1) is 1.105170918075647 million dollar
Step-by-step explanation:
Given that;
Initial salary of football coach = 1 million dollar
raise of 10% every year (so exponential growth model) r = 10% = 0.10
a) initial value problem to represent the salary
lets S represent salary in millions dollars and t represent time in years.
S(t) = S₀[tex]e^{rt}[/tex]
so,
at S₀ = 1 million dollars } { r = 0.10 }
S(t) = 1.[tex]e^{0.10t}[/tex]
Therefore, initial value problem representing the salary is; S(t) = 1.[tex]e^{0.10t}[/tex]
b) What is s(0) and s(1)
at s(0)
S(t) = 1.[tex]e^{0.10t}[/tex]
we substitute
S(0) = 1.[tex]e^{0.10*0}[/tex]
S(0) = 1.[tex]e^{0}[/tex]
S(0) = 1
Therefore; S(0) is 1 million dollar
at s(1)
S(t) = 1.[tex]e^{0.10t}[/tex]
we substitute
S(1) = 1.[tex]e^{0.10*1}[/tex]
S(1) = 1.[tex]e^{0.10}[/tex]
S(1) = [tex]e^{0.10}[/tex]
S(1) = 1.105170918075647
Therefore; S(1) is 1.105170918075647 million dollar
Please help! Find the value of X. Round to the nearest tenth. acellus
9514 1404 393
Answer:
38.2°
Step-by-step explanation:
The law of sines tells you ...
sin(x)/15 = sin(27°)/11
sin(x) = (15/11)sin(27°) . . . . . multiply by 15
x = arcsin((15/11)sin(27°)) ≈ arcsin(0.619078) ≈ 38.2488°
x ≈ 38.2°
_____
Additional comment
In "law of sines" problems, you need to identify a side and opposite angle that you know both values of. Then, you need to identify whether you're looking for an angle or a side, and whether its opposite side or angle is known. If two angles are known, you can always figure the third from the sum of angles in a triangle.
Here, we have angle 27° opposite side 11. We are looking for an angle, and we know its opposite side. This lets us use the ratio formula directly. Since the angle is the unknown, it is useful to write the equation with sines on top and sides on the bottom.
The given angle is opposite the shorter of the given sides, so this triangle has two solutions. We assume that we want the solution that is an acute angle (141.8° is the other solution). That assumption is based on the drawing. Usually, you're cautioned not to take the drawings at face value.
A_________is a set that is contained in a larger set.
3(x-2)+7=2(x+5)
What is the answer to this please
Answer:
x=9
Step-by-step explanation:
distribute: 3x-6+7=2x+10
add like terms: 3x+1=2x+10
add the x's and the integers: x=9
-7z-2=12.
can u please show the work also
Answer:
z = -2
Step-by-step explanation:
-7z -2 = 12
-7z = 14 (add 2 on both sides)
z = -2 (divide -7 on boths sides)
z = -2
-7z = 12 + 2
-7z = 14
z = -14/7
z = -2
pattie spent 3/4 of her allowance on a backpack. If her allowance is $24, how much of her allowance is left after she purchased the backpack?
Answer:
she has 6 dollars left
Step-by-step explanation:
she spent $18 on the backpack
what is 12 more than m
a ball is thrown from a height of 40 meters with an initial downward velocity of 5 m/s
0=40-10t-5t^2
t^2+2t-8=0
(t+4)(t-2)=0
t=-4 (not a solution) or t=2
Answer: after 2 seconds
Susan reads a book at a rate of 1 page every 3 minutes. If her reading rate remains the same, which method could be used to determine the number of minutes for her to read 18 pages?
Point B, located at (-5, -8), is rotated 360°. What are the coordinates of point B?
O(-5, -8)
(5,8)
O (5,-8)
0 (-5,8)
Which choice shows three lengths that cannot be the lengths of the three sides of a triangle?
Answer:
The right answer is B.
Step-by-step explanation:
To be sure if three sides could be used to form a triangle, you need to remember that two sides of a triangle added together is always greater than the final side. B is the only selection that does not work for the law, 3 + 5 = 8 which is smaller than 10, so the corrct answer is B.
A total of 190 people attended the opening night of a school
musical. Student tickets cost $4.50 each while general
admission tickets cost $6 each. If total sales were $996, how
many general admission tickets were sold?
Answer:
94
Step-by-step explanation:
x=student tickets y=general admission
We can write the two following equations
x+y=190
4.5x+6y=996
I am going to solve this through substitution
We first need to get a variable by itself
x+y=190
x-190= -y
-x+190=y
We can plug this value in for y into the second equation
4.5x+6(-x+190)=996
4.5x-6x+1140=996
-1.5x= -144
x=96
Now that we know that x=96 we can plug this value into any of the two beginning equations and solve for y
96+y=190
y=94
Dora and boots are decorating cupcakes for a bake sale. Dora already has 25 cupcakes decorated and can decorate 10 cupcakes per hour. Boots has no cupcakes decorated yet but can decorate 15 cupcakes per hour. When will Dora and boots have the same number of cupcakes decorated and how many will they have
Answer: after 5 hours, 75 cupcakes
Step-by-step explanation:
Pls help I’ll brainlest
Answer:
30.5 feet / minute
Step-by-step explanation:
Rate of descent is the same as speed (of falling). The formula for speed is distance / time = speed
First, find how much it fell.
4595 - 3131 = 1464 feet
Divide the distance by the time.
1464 feet / 48 minutes = 30.5 feet / minute
HOW DO I DO THIS HELP
Answer:
I am pretty sure that you would divide 247 by 19 and whatever that answer is would be the answer
Step-by-step explanation:
What is the total surface area of a cube with an edge on 4 1/2 feet
Answer:
What is the total surface area of a cube with an edge on 4 1/2 feet... 121.5 feet
Step-by-step explanation:
Surface area = 6 × 4 1/2 × 4 1/2
Surface area = 121.5
A line and a point ____ intersect
Answer: does
Step-by-step explanation:
If I have 41 red mechanical pencils and each pencil has 3 pieces of lead in it. How many pieces of lead are there in all
Answer: There are 123 pieces in total.
Step-by-step explanation: If you have forty-one pencils, and each has three pieces of lead, you multiple forty-one by three.
Total lead = 41 * 3
Total lead = 123 pieces
Solve for y:
7y + 3y - 2y + 12 = 60
Please, please, please, please help
5 more than the product of 12 and 8 as a numerical expression.
Answer:
(12x8) + 5
Step-by-step explanation:
The product of 12 and 8 would be multiplication, so you can represent that as
(12x8) or 12x8
"5 more" simply means addition
So if you were to put all that together as a numerical expression it would be
(12x8) + 5
Hope this helps!
The product of 3 and q increased by 7 is equal to the
sum of q and 3. Find q.
Answer:
-2
Step-by-step explanation:
3q + 7 = q +3
Bring the variables to one side and the numbers to the other
3q - q = 3 -7
2q = -4
q = -2
Hope this helps!
Omar ordered his sister a birthday card from a company that randomly selects a card from their inventory. The company has 21 total cards in inventory. 14 of those cards are birthday cards. What is P(not a birthday card)
Answer:
P = 7
Step-by-step explanation:
We have 21 total cards and out of those 21 cards, 14 of those are birthday cards. So that means that the amount of cards that are not birthday cards is the number of cards subtracted by the number of birthday cards, also shown as 21 - 14. So 21 - 14 = P, so now we solve what 21 - 14 is which is 7, so that means P = 7.
Let me know if you have any questions.
how can equations help you model the relationship between two quantities
Answer:
I dosent show anything that I should solve
Step-by-step explanation:
The price of lunch in the school cafeteria was 2.50$ last year this year the price is 2.70$. What is the percent increase
Answer:
8 percent
Step-by-step explanation:
There is an 8 percent increase, because if you do 20 cents divided by 250 cents, you get 0.08, which is 8 percent. Also to double check, you can do 250 * 1.08. By the way, that is some rip off lunch.
Jeremy used 5/6 slices of bread throughout the week. If there was 24 slices of bread, how many slices did Jeremy use?
18
18
18
18 dude the answer is 18
Answer:
18
Step-by-step explanation:
Determine the measure of side d in the following diagram. Make sure that your answer is rounded to the nearest tenth.
Amy pays $1.71 in postage to mail a CD to a friend. She uses 41-cent stamps and 6-cent stamps. How many of each stamp did Amy use?
Answer:
3 41-cent stamps and 8 6-cent stamps
Step-by-step explanation:
I believe she used 3 41-cent stamps (which is $1.23) with $0.48 leftover which we can use $0.06 to get rid of. We need to use 8 of the $0.06 stamps.
A rectangle has the dimensions 2.3 x 2.1. If I want a rectangle that has the area 16 times the size of the original rectangle, what will be my new dimensions?
Answer:
Either 36,8 × 2,1 or 2,3 × 33,6
PLZZZZZ HELP IT IS DUE IN 5 MINUTES
helpppp it’s dueee rnnnn
Answer:d and a
Step-by-step explanation: