Answer:
When x=10 f(x) is equal to 15
Step-by-step explanation:
Just substitute the two equations, 15=2x-5 -> 20=2x -> x=10.
Suppose that a football coach gets a salary of one million dollars now, and a raise of 10% every year (so exponential growth model). Let s be the salary in millions of dollars, and t is time in years. (a) Write an initial value problem to represent the salary s. Label 0.2.14 (modified) (b) What is s(0) and s(1)
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
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Answer:
x=-4/11; y=-19/11
Step-by-step explanation:
Answer:
x = 4/11 ; y = 19/ 11
sorry i cant give you the explanation
i hope this will help u
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Step-by-step explanation:
You want to buy a specific computer. A sales representative of the manufacturer claims that retail stores sell this computer at an average price of $1,249 with a very narrow standard deviation of $25. You find a website that has a price comparison for the same computer at a series of stores as follows:
$1,298; $1,229.96; $1,193.07; $1,279; $1,224.98; $1,229.97; $1,269.98; $1,248.
Can you argue that pricing has a larger standard deviation than claimed by the manufacturer?
Answer:
We fail to reject the null
Step-by-step explanation:
Given the data: 1298; 1229.96; 1193.07; 1279; 1224.98; 1229.97; 1269.98; 1248
Mean price, μ = 1249
Standard deviation, σ = 25
Variance, σ² =
Null hypothesis, H0 : σ² = 25²
Alternative hypothesis, H1 : σ² > 25
Using calculator, the sample standard deviation :
Sample standard deviation = s = 34.072
Sample size, n = 8
For chi² distribution :
X² = [(n - 1)s²] ÷ σ²
X² = [(8 - 1)*34.072^2] ÷ 25^2
X² = (7 * 1160.901184) / 625
X² = 13.002093
Using the Pvalue from Chisquare calculator, df = 8 - 1 = 7; α = 0.05
Pvalue =0.07206
0.07206 > 0.05
Since , Pvalue > α
We fail to reject the null; there is insufficient evidence to conclude that standard devuatue do selling a computer is greater than 25
value of b in the quadratic equation 3x/4=1/x
What is the area of this figure?
Answer:
75.398
Step-by-step explanation:
(45 + 33) +7 = 45 + (33 + 7)
What property is that
Answer:
Associative
Step-by-step explanation:
Today, 198 people went to Six Flags the first hour it was open. This number was 30% of the number of people who went to the park yesterday. How many people went to the park YESTERDAY?
Its 660
there would be 198 people if you take 30% of 660
Answer:
660
Step-by-step explanation:
30% = 198 (People for the first hour it was open)
1% = 6.6 (1% for people at the park yesterday)
100% = 6.6 x 100 = 660 (Everybody at the park)
I hope I did it right.
16% of $72=
I need help so if you know help
Answer:
Step-by-step explanation:
$72 is 100% and
$? is 16%
? = 16*72/100 = 11.52
A coordinate plane.Three times a larger number is 30 more than 5 times a smaller number. The sum of the larger number and 5 times the smaller number is 50.Let x be the smaller number and y be the larger number.Create a system and graph it to find the solution.What are the two numbers?x =and y =
Answer:
6 and 20
Step-by-step explanation:
ZA and ZB are vertical angles. If mZA= (5x – 4) and mZB = (2x – 1)º, then find the value of x. INI
Answer:
x = 1
Step-by-step explanation:
It is given that,
∠A and ∠B are vertical angles.
∠A = (5x – 4) and ∠B = (2x – 1)
We need to find the value of x.
We know that, the vertical angles are equal. So,
∠A=∠B
(5x – 4)=(2x – 1)
Taking like terms together,
5x-2x = 4-1
3x=3
x = 1
So, the value of x is equal to 1.
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line a y=1/2x+2
line b y= -1/2 x +7
line c y=2x +4
line d y= 1/2x +5/4
which lines are perpendicular
Answer:
Line b and line c are perpendicular.
Step-by-step explanation:
Perpendicular lines have opposite reciprocal slopes, and -1/2 and 2 are opposite reciprocals.
Solve the given equation for x.
6 + x = C
Answer:
x=c-6
Step-by-step explanation:
6+x=c
-6 -6
x=c-6
Factor completely and then place the factors in the proper location on the grid.
36 x2 + 60 x + 25
Answer:
[tex](6x+5)^{2}[/tex]
Step-by-step explanation:
[tex]36x^{2}+60x+25[/tex]
Just looking at the equation, one can see that the first element ([tex]36x^{2}[/tex]) and the last element ([tex]25[/tex]) are both perfect squares. One can see that when one multiplies the number and then doubles the result, the resulting values will be the value in the middle. Therefore, it is clear that is the answer is;
[tex](6x+5)^2[/tex]
Given that, 1 Chinese yuan = £0.11, convert £460 into Chinese yuan. Give your answer to the nearest yuan.
will mark you as brainiest
Answer:
i so want to know this aswell
Step-by-step explanation:
Answer:
4182
Step-by-step explanation:
I gotten this question so I decided to find the answer but I still got it wrong and it said the answer was 4182
What dose that sing mean before the square root mean and also what is the answer
The thing before the square root means that the answer can be positive and negative.
A computer is on sale for 25% off. If the sale price is $449, what was the original price?
Answer:
discount=25%
selling price=$449
original price=?
Step-by-step explanation:
we have
original price=selling price + discount% of original price
original price-discount% of original price=$449
original price (1-25/100)=$449
original price=$449/0.75=$598.66
Mr. Greenwood bought 1/2 gallon of milk.His family members drank 3/4 of the milk for breakfast. .How many gallons of milk did they drink?
Answer: 6/8
Step-by-step explanation: this is the answer
In a sports meet, Sonam’s team completes the run at 40 seconds during heat events. On championship day, his team completes the same run at 45 seconds. What is the percentage difference in the completion time from the best completion time?
A. 10.5%
B. 12.5 %
C. 15.5 %
D. 20.5 %
Answer:
20.5
Step-by-step explanation:
Question
Solve 9 < 3x + 6< = 15 and write the solution in interval notation. If there is no solution, type Ø.
Given:
The compound inequality is
[tex]9<3x+6\leq 15[/tex]
To find:
The solution for the given compound inequality in interval notation.
Solution:
We have,
[tex]9<3x+6\leq 15[/tex]
Subtracting 6 from each side, we get
[tex]9-6<3x+6-6\leq 15-6[/tex]
[tex]3<3x\leq 9[/tex]
Divide each side by 3.
[tex]\dfrac{3}{3}<\dfrac{3x}{3}\leq \dfrac{9}{3}[/tex]
[tex]1<x\leq 3[/tex]
Here, 1 is not included in the solution set and 3 is included in the solution set.
Therefore, the solution in interval notation is (1,3].
SOMEONE PLSS HELP!
Dwayne’s goal is to run 1 mile in 8 minutes or less. In order to predict when he will reach his goal, he drew a trend line that fits along the data points. He extended the trend line to week 8. According to the line, will he reach his goal by week 7? By week 8?
Answer:
where's the line? Can't answer it without it.
How do you use Trigonometric Ratios to solve Real-world problems?
Answer:
Trigonometry can be used to measure the height of a building or mountains: if you know the distance from where you observe the building and the angle of elevation you can easily find the height of the building.
What integer does the arrow indicate?
+
-8
+ +
-6 -5
+
3
+
4
+
7
- 10 -9
-7
-4
-3
-2
-1
0
1
2
5
6
8
9
10
0-14
0-3
06
Answer:
-9
Step-by-step explanation:
Given
See attachment for number line
Required
What does the arrow integer
Represent the value of the arrow with x.
The arrow is on number -9.
This number is what the arrow represents.
Hence:
[tex]x = -9[/tex]
Sarah made 5 gallons of punch for her family reunions if each serving is 1/16 gallon how many servings is this?
A. 75
B. 50
C. 80
D. 3 1/5
Answer:
С) 80
вот правильный ответ
what is 3x4x19x39x4x9x11x10x20squared-10473408000 tee-hee
Answer:
A seizure and a half
Step-by-step explanation:
Answer:
495962981439552000
The table shows the amount of apple
sauce made from one apple of each size.
Patrice has 17 medium apples and 23
large apples. What is the total amount
of apple sauce that she can make with
these apples?
Patrice can make a total amount of 25.75 cups of apple sauce.
What is Multiplication?Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.
a × b means that a is added to itself b times or b is added to itself a times.
Patrice has 17 medium apples and 23 large apples.
Amount of apple sauce form a small apple = 1/3 cup
But Patrice does not have any small apples.
Amount of apple sauce from a medium apple = 1/2 cup
Amount of apple sauce from 17 medium apples = 17 × 1/2 cups
= 8.5 cups
Amount of apple sauce from a large apple = 3/4 cup
Amount of apple sauce from 23 large apples = 23 × 3/4 cups
= 17.25 cups
Total apple sauce made from 17 medium apples and 23 large apples = 8.5 cups + 17.25 cups = 25.75 cups
Hence the total amount of apple sauce that Patrice can make is 25.75 cups.
To learn more about Multiplication, click :
https://brainly.com/question/29148612
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Two cities are approximately 350 miles apart on the surface of the earth. Assuming that the radius of the earth is 4,000 miles, find the radian measure of the central angle with its vertex at the center of the earth that has one city on one side and another one on the other side. a. 0.0775 radians b. 0.1025 radians c. 0.0875 radians d. 0.0825 radians e. 0.1075 radians ____ 6. Name the reference angle in both degrees and radians.
Answer:
[tex]\mathbf{\theta = 0.0875 \ radians}[/tex]
Step-by-step explanation:
Given that:
The distance between city A and city B = 350 miles; &
The radius of the earth = 4000 miles
We all know that:
l = rθ
[tex]\theta = \dfrac{l}{r}[/tex]
[tex]\theta = \dfrac{350}{4000}[/tex]
[tex]\mathbf{\theta = 0.0875 \ radians}[/tex]
From l = rθ; recall that l = a
so;
a = rθ
350 = 4000×θ
θ = 350/4000
θ = 35/400 degree
In radians;
θ = (35/400) × (π/180)
θ = (7π /800× 180) radians
Jeremy's pizza was cut into 6 equal slices and he ate 4 pieces. Zachary's pizza was cut into 12 equal slices. How many pieces does Zachary need to eat so that he and Jeremy have eaten an equal amount? prove it with a picture
Answer:
8 pieces
Step-by-step explanation:
4/6 x 2 = 8/12
If Zachary wanted to eat the same amount. He would eat 8 pieces.
Zachary will have to eat 8 peices of pizza
Step-by-step explanation:
If you take Jeremys pizza and separate the 4 pieces he were to eat and the two he didn't and cut all of them in half then you would see there are 12 peices in all and that would make the 4 he were to eat 8 slices instead of just 4
Alcohol is a major contributor to high percentages of academic problems and college dropouts. Question: Alcohol is a major contributor to high percentages of academic problems and college dropouts. True False Not Sure Question: Alcohol is a major contributor to high percentages of academic problems and college dropouts. How confident are you of your response
Answer:
True
Step-by-step explanation:
This is true. According to studies conducted roughly 40% of academic problems and cause of college, dropouts is due to Alcohol. The students tend to party and drink a lot. This alcohol consumption makes the students tired, hungover, and unable to properly function enough so that they can attend classes on time and study to be able to pass the exams. This ultimately leads to failing grades and dropping out of the career.
