Answer:
Exponential Function; base = 3; initial value = - 6.1
Step-by-step explanation:
Question 1
Sione just landed a great job as an engineer where he will make $55,000 a year. The
company he will work for guarantees a 3% pay increase each year so it's employees
salaries keep up with inflation. At the end of the 1* year Slone will have made $55,000
dollars.
1. What is the recursive function that will represent this situation?
a. m(t) = m(t - 1) + 0.03, m(1) = 55000
b. m(t) = m(t-1). 0.03, m(1) - 55000
c. m(t) = m(t-1) + 1.03, m(1) - 55000
d. m(t) = m(t-1). 1.03, m(1) = 55000
Answer:
Option (d)
Step-by-step explanation:
If the current salary of Sione is represented by the function m(t - 1),
Next year his salary m(t) gets hike of 3%.
So, the next year salary of Sione will be represented by,
m(t) = m(t - 1) + 3% of m(t - 1)
= m(t - 1) + 0.03 × m(t - 1)
= m(t - 1)(1 + 0.03)
= 1.03m(t - 1)
Since, at the end of year 1 his salary was $55000,
Recursive function will be,
m(t) = 1.03m(t - 1) = 55000
Therefore, Option (d) will be the answer.
simplify the expression: 3x + 7y - 5x + 9x - y
Step-by-step explanation:
10x+4y.............
Answer:
B. 7x + 6y
Step-by-step explanation:
3x + 7y -5x +9x -y
= (3x - 5x +9x) + (7y - y)
= 7x + 6y
Help me pleaaaaaaassssssssseeeeeeee
Answer:
+29
Step-by-step explanation:
(-)(-)=+
3) How much does a customer pay for an article marked at $50.00 if a sales tax of 6% is charged?
(a) $44.00 (b)$47.00 (c)$53.00 (d)$56.00
Covert 45 1/2 % to a fraction
x+12= -5 helpppp meeeee
Answer:
The answer is -17.
Step-by-step explanation:
Well since the answer turns out to be a negative, one of the numbers has to be negative.(not all cases but for this one, yes)You have to add 12+5 and you get 17. This has to be a negative because the answer is a negative.
find the slope of the line y=-2/3x
Answer:
-2/3
Step-by-step explanation:
-2/3
8^ 1/3 what is it simplified
Step-by-step explanation:
Simplifying mixed numbers
Following are the steps to simplify mixed fractions: Find the highest common factor (HCF) of numerator and denominator of the fraction part. Divide both the numerator and the denominator by HCF. The whole number part will remain the same.
Answer:
8^1/3= 2
:-))))
Please answer this much appreciated.
Answer:
a = [tex]\frac{h-r}{b}[/tex]
Step-by-step explanation:
Given
h = ab + r ( subtract r from both sides )
h - r = ab ( isolate a by dividing both sides by b )
[tex]\frac{h-r}{b}[/tex] = a
Suppose each day that you drive to work a traffic light that you encounter is either green with probability 3/8, red with probability 1/2, or yellow with probability 1/8, independent of the status of the light on any other day. If over the course of five days, G, Y, and R denote the number of times the light is found to be green, yellow, or red, respectively, what is the probability that P[G=2, Y=1, R=2] ? Also, what is the probability P[G=R]? [15%]. Hint: consider sequences possible in a five-day observations
Answer:
a
[tex]P(G = 2 , Y= 1 , R = 2) = 0.13184 [/tex]
b
[tex]P(G = R ) = 0.13919 [/tex]
Step-by-step explanation:
From the question we are told that
The probability of the traffic light being green is [tex]p_g = \frac{3}{8}[/tex]
The probability of the traffic light being red is [tex]p_r = \frac{1}{2}[/tex]
The probability of the traffic light being yellow is [tex]p_y = \frac{1}{8}[/tex]
The number of days of observation is n = 5
Generally the probability distribution function for a multinomial distribution is mathematically represented as
[tex]Pr( X_1 = x_1 \ and \ . . . \ and \ X_k =x_k) = \left \{ {{ \frac{n!}{x_1 ! , . . . x_k !} p_1^{x_1} * \cdots *p_k^{x_k} \ \ \ \ \ \ \ when \ \sum x_i = n } \atop {0 }\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ otherwise \ } \right[/tex]
Generally the probability that P[G=2, Y=1, R=2]
[tex]P(G = 2 , Y= 1 , R = 2) = \frac{5!}{ 2! * 1! * 2!} * [\frac{3}{8} ]^2 * [\frac{1}{8} ]^1 * [\frac{1}{2} ] ^2[/tex]
=> [tex]P(G = 2 , Y= 1 , R = 2) = 0.13184 [/tex]
Generally the probability that P[G=R] is mathematically represented as
[tex]P(G = R ) = P( G = 2 , Y = 1 , R = 2) + P( G = 0 , Y = 5 , R = 0)+ P( G = 1 , Y = 3 , R = 1)[/tex]
Here
[tex] P( G = 0 , Y = 5 , R = 0) = \frac{5!}{ 0! * 5! * 0!} * [\frac{3}{8} ]^0 * [\frac{1}{8} ]^5 * [\frac{1}{2} ] ^0[/tex]
[tex] P( G = 0 , Y = 5 , R = 0) = 0.0000305176 [/tex]
Also
[tex] P( G = 1 , Y = 3 , R = 1)= \frac{5!}{ 1! * 3! * 1!} * [\frac{3}{8} ]^1 * [\frac{1}{8} ]^3 * [\frac{1}{2} ] ^1[/tex]
[tex] P( G = 1 , Y = 3 , R = 1)= 0.0073242 [/tex]
[tex]P(G = R ) = 0.13184 + 0.0000305176+ 0.0073242 [/tex]
[tex]P(G = R ) = 0.13919 [/tex]
anybody know this question dont answer if its not right
Answer:
5
Step-by-step explanation:
9×5/9=45/9
=5
just multiply the stuff in parantheses and then add and then divide.
Answer:
5
Step-by-step explanation:
3^2*(2+3); 9*5=45
(2+1)*3; (3)*3=9
So 45/9 =5
Michael Hendrix earned $232.10 for working 27.5 hours. How much would he earn if he worked 40 hours? (Annex a zero to
the dividend to make the quotient come out even)
out even.)
Answer:
337.60
Step-by-step explanation:
I divided what he earned by what he worked and multiplied that number by 40
which is more , 1 gallon or 7 pints ,
a. 1 gallon
b. 7 pints
c. nethier ; they are equal
Answer:A
Step-by-step explanation: 1 Gallon is equal to 8 pints.
Answer:
A
Step-by-step explanation:
pint=1/8 of a gallon
therfor 7 pints = 7/8
7/8<1gal
What is the value of y?
inverse of f(x)=3/2x +6
Answer:
f(x) = (x - 6)/(3/2)
Step-by-step explanation:
The difference between of a number q and 8
A triangle has sides with lengths of 42 millimeters, 43 millimeters, and 58 millimeters. Is it a
right triangle?
Answer:
No
Step-by-step explanation:
42 x 42 = 1764
43 x 43 = 1849
1764 + 1849 = 3613
and the sqaure roof of 3613 is 60.11
60.11 does not equal 58
so no it is not a right triangle
square root of 9 on a graph
Answer:
I think the answer is 3
Wht Is a fraction equivalent to 0.4 repeating its self
4/9 is the answer
hope this helps
can any one pls help me with 14,15 pls tysm! have a great day :D
Answer:
14.$403.46 or $403.50(rounded)
15.11.55 or 11.60(rounded)
Step-by-step explanation:
Commission is when you get a percent added to the amount of money you have already so with that being said-397.50+1.5%
She uses 24% so with that being said to find the amount left you have to subtract the percent from the original amount-15.2-24%
Identify the coefficient in each term
5. 4x^3
6. y^3
7. 2n^7
8. -s^4
Answer:
5. 4
6. 1
7. 2
8. -1
Step-by-step explanation:
Coefficient is usually the whole number in the beginning. I believe 5-7 are correct. I'm a little iffy about 8. Good luck!
OPENER: Select all the names for the answers to a polynomial equation
(Select all that apply.)
Solutions
y-intercepts
Roots
points
Stems
x-intercepts
intersections
finite
Zeros
Find the unit rate.
9 pounds per 6 crates
Ib per crate
Answer:
1.5
Step-by-step explanation:
I solved it and got it right
Answer: 1.5 pounds per crate
What is the value of -2xy if x = -1 and y = 6?
8
12
26
-12
Find the missing number in this sequence
1,0,1,1,0,1,_.1.0.1.1.1.10
Answer:
0
Step-by-step explanation:
look at the first numbers
Answer:
1,0,1,1,0,1,1,1,0,1,1,1,1,0
hope it helped :)
Step-by-step explanation:
help me please!!!!!
Answer
the next two terms are
0.000032
0.0000064
Find the value of a
Answer:
a=60
Step-by-step explanation:
since there are 6 total "a" values (2 angles worth just a, 2 angles worth 2 a)
you divide the total angle number by 6: 360/6=60
a=60
hope this helps!! <3
The cast of renting a DVD is 1.50 per day(d). Which function represents the cost of renting the DVD?
Answer:
1.50(d)=p
Step-by-step explanation:
which number of the solar system has an equatorial diameter of 3.48x10^3 kilometers
Answer: 21
Step-by-step explanation: I got it right
Can someone do the work I’m so confused
Answer:
(1) n = 9
(2) n = 15
(3) r = -8
Plz mark brainliest:)
Answer:
n=9n=15r=-8Step-by-step explanation:
1.4=n/9+3
4-3=n/9
1=n/9 cross multiply
2. -7=-8+n/15
-7+8=n/15
1=n/15 Cross multiply
n=15
3.-11=r/2-7
-11+7=r/2
-4=r/2cross multiply
-8=r
r=-8