Answer:
d
Step-by-step explanation:
Please show me step by step how to do this
Answer:
You know that the beginning salary is $32,000, and it is raised by $1,000 per year.
a) We want to find a recursive relation, let's try to find a pattern:
S₁ = salary on the first year = $32,000
S₂ = salary on the second year = $32,000 + $1,000 = $33,000
S₃ = salary on the third year = $33,000 + $1,000 = $34,000
and so on.
We already can see that the recursive relation is: "the salary of the previous year plus $1,000", this can be written as:
Sₙ = Sₙ₋₁ + $1,000
Such that S₁ = $32,000
b) Your salary in the fifth year is S₅
Let's construct it:
S₃ = $34,000
S₄ = $34,000 + $1,000 = $35,000
S₅ = $35,000 + $1,000 = $36,000
Your salary on the fifth year is $36,000
c) When we have a recursive relation like:
Aₙ = Aₙ₋₁ + d
The sum of the first N elements is given by:
Sum(N) = N*(2*A₁ + (N - 1)*d)/2
Then the sum of your salary for the first 20 years is:
S(20) = 20*(2*$32,000 + (20 - 1)*$1,000)/2
S(20) = $830,000
HELP ME ASAP PLEASE!!!!! LOOK AT SCREENSHOT (10 PTS)
Answer: i would say A and D but i'm not sure of the others
hey hottie pls help me! thank u ;)
Select the context(s) that could be modeled by a linear function.
A)The amount Ms. Ji Woo and Mrs. Rose pay to rent a car is $50 per day.
B) Ms. Jisoo adds $20 to a savings account each month.
C)The value of Principal Kai's car decreases by 15.5% each year.
D)The price of a stock on Robinhood each year is 110% of its price from the previous year.
E)Mrs. Manoban pays $1000 for car insurance the first year and pays an additional $25 per year
Answer: A,B, and E for sure. I'm not sure about C though.
Step-by-step explanation:
Please help 6th grade math please please help i will give brainliest
Simplify the expression 7 − 1x −1(−5x) − 10 + 4x
Answer: 3x-1(-5x)-3
Step-by-step explanation:
−3-x-1(-5x)+4x
-3+3x-1(-5x)
3x-1(-5x)-3
find the degree of the polynomial: w7 y3
Answer:
polynomial of degree 10
Step-by-step explanation:
The degree of the polynomial is the sum of the exponents, that is
[tex]w^{7}[/tex]y³ → has degree 7 + 3 = 10
PLSS HELP IMMEDIATELY!!! i’ll give brainiest if u don’t leave a link!
Answer:
They have air-filled pockets in their leaves
Step-by-step explanation:
Jan wants to build a circular pond in his backyard. On the blueprint, the diameter of the pond is 15.5 in. The blueprint has a scale of 3 7/8 in. to 7 feet. What is the actual area of the pond rounded to the nearest tenth? *
Answer:
hi
Step-by-step explanation:
hi
A soccer ball on the ground is kicked with an initial velocity of 37 feet per second at an elevation angle of 70°. Which
parametric equations represent the path of the soccer ball?
Answer:
x(t) = 37cos(70o)t and y(t) = –16t2 + 37sin(70o)t
Step-by-step explanation:
Scott and Letitia are brother and sister. After dinner, they have to do the dishes, with one washing and the other drying. They are having trouble deciding who will do what task, so they came up with a method based on probability. Letitia grabs some spoons and puts the is a bag. Some have purple handles and others have green handles. Scott has to pick two of the spoons. If their handles are the same, Scott will wash. If they are different colors, he will dry. It turns out there are two purple spoons and three green ones. What is the probability of Scott washing the dishes?
Answer:
The probability that Scott will wash is 2.5
Step-by-step explanation:
Given
Let the events be: P = Purple and G = Green
[tex]P = 2[/tex]
[tex]G = 3[/tex]
Required
The probability of Scott washing the dishes
If Scott washes the dishes, then it means he picks two spoons of the same color handle.
So, we have to calculate the probability of picking the same handle. i.e.
[tex]P(Same) = P(G_1\ and\ G_2) + P(P_1\ and\ P_2)[/tex]
This gives:
[tex]P(G_1\ and\ G_2) = P(G_1) * P(G_2)[/tex]
[tex]P(G_1\ and\ G_2) = \frac{n(G)}{Total} * \frac{n(G)-1}{Total - 1}[/tex]
[tex]P(G_1\ and\ G_2) = \frac{3}{5} * \frac{3-1}{5- 1}[/tex]
[tex]P(G_1\ and\ G_2) = \frac{3}{5} * \frac{2}{4}[/tex]
[tex]P(G_1\ and\ G_2) = \frac{3}{10}[/tex]
[tex]P(P_1\ and\ P_2) = P(P_1) * P(P_2)[/tex]
[tex]P(P_1\ and\ P_2) = \frac{n(P)}{Total} * \frac{n(P)-1}{Total - 1}[/tex]
[tex]P(P_1\ and\ P_2) = \frac{2}{5} * \frac{2-1}{5- 1}[/tex]
[tex]P(P_1\ and\ P_2) = \frac{2}{5} * \frac{1}{4}[/tex]
[tex]P(P_1\ and\ P_2) = \frac{1}{10}[/tex]
Note that: 1 is subtracted because it is a probability without replacement
So, we have:
[tex]P(Same) = P(G_1\ and\ G_2) + P(P_1\ and\ P_2)[/tex]
[tex]P(Same) = \frac{3}{10} + \frac{1}{10}[/tex]
[tex]P(Same) = \frac{3+1}{10}[/tex]
[tex]P(Same) = \frac{4}{10}[/tex]
[tex]P(Same) = \frac{2}{5}[/tex]
the school choir has 110 members there are 20 more girls than boys there are how many boys the choir
Answer:
65 girls and 45 boys
Step-by-step explanation:
Evaluate : ab−5c+b
for a = 12, b = 3 and c = - 4
Answer:
59
Step-by-step explanation:
[tex](12*3)-5*(-4)+3=59[/tex]
Angle C and angle D are complementary. The measure of angle C is (2x)° and the measure of angle D is (3x)°. Determine the value of x and the measure of the two angles.
The two angles are
C= 36
D= 54
So what is variable x?
Step-by-step explanation:
C+D=90
2x+3x=90
5x=90
X=90:5=18
2+2x+x2 but x=5 need help
Answer:
22
Step-by-step explanation:
Answer:
6x
Step-by-step explanation:
because i said so 2+2+2=6 and x=5 but two x=10
Find the value of x in the picture below(round to nearest test)
Answer:
x = 13
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² = 5² + 12² = 25 + 144 = 169 ( take the square root of both sides )
x = [tex]\sqrt{169}[/tex] = 13
Show your work please
Answer:
B 2208cm squared
you follow this formula
A=2(wl+hl+hw)
w means width
l means length
h means height
input the numbers and you got your answer.
Hope this helped ;)
Answer:5760 cm2
Step-by-step explanation:length times width times height 12 times 12 is 144 and 144 times 40 is 5770 cm2
A cup and saucer together cost N$ 20.50 . A cup and two saucer cost N$ 27.00 . Find the cost of the cup and the saucer.
Answer: Cup-$14, Saucer-$6.5
Step-by-step explanation:
Given
Cup and saucer costs $20.5
A cup and two saucer costs $27
Assume the price of cup and saucer are x and y
So, we can write
[tex]\Rightarrow x+y=20.5\quad \ldots(i)\\\\\Rightarrow x+2y=27\quad \ldots(ii)[/tex]
Solving [tex](i)\ \text{and}\ (ii)[/tex] we get
[tex]x=\$\ 14, y=\$\ 6.5[/tex]
Thus, the cost of the cup is $14 and that of the saucer is $6.5
use multiples to determine the LCM of 45and 60
Answer:
LCM of 45 and 60: 180
Step-by-step explanation:
Is the equation cosine theta - sine theta =1 an identity? Explain
Select all that apply. Which numbers are not perfect squares? 36 14 20 16 25 18 24
Answer:
20, 18, 14, and 24 are all not perfect squares
Step-by-step explanation:
Plz help!!!! Geometry
The little lines inside the two angles mean they are the same.
The 3 inside angles of a triangle equal 180 degrees.
One angle is 146 , so the other two need to equal 180-146 = 34 total.
34/ 2 = 17
Both angle 1 and angle 2 are 17 degrees each.
17, 17
Step-by-step explanation:
assuming both 1 and 2 are congruent and the total amount of angles should add up to 180* we can subtract 180(total) - 146(given) to get 34(angle 1+2) and and divide by 2 since both 1 and 2 are congruent they are the exact same angle
4.
Which properties of equality justify steps c and f?
A. Multiplication Property of Equality; Division Property of Equality
B. Addition Property of Equality; Division Property of Equality
C. Subtraction Property of Equality; Multiplication Property of Equality
D. Addition Property of Equality; Subtraction Property of Equality
Answer:
B. Addition Property of Equality; Division Property of Equality
Step-by-step explanation:
The answer is D, because in step c. you add to both sides to get rid of the on the right hand, so you use the fact that you can add the same number to both sides of an equation.
Likewise, in step f. you divided both sides by to get rid of the coefficient, so you use the fact that you can divide both sides of an equation by the same number.
...............................................................................................................................................
Answer:
Option C and B
Step-by-step explanation:
In the question step C is 23 + 11 = -11 +(-4x) + 11
which is in the form of a + b = c + a
In step C we have added 11 on both the sides to eliminate 11 from right side of the equation.
property which signifies this step is
Addition property of equality :
In step 'f' expression is
In this step equation has been divided by -4 on both the sides to eliminate 4 from the numerator.
In this step division property of equality has been applied.
Therefore Option C and B are the correct options.
Answer:
B. Addition Property of Equality; Division Property of Equality
Step-by-step explanation:
hope it helps...
In one second, approximately 150,000 gallons of water spill over the American Falls, and approximately 600,000 gallons spill over the Horseshoe Falls. About how many more gallons of water spill over the Horseshoe Falls than over the American Falls in one minute?
Answer:
O-O
Step-by-step explanation:
XD i took the last comment
Answer:
its D
Step-by-step explanation:
What was different about the Yuan Dynasty? *
I’ll give brainiest answer to the person who gets it right.
Answer:
One big change during Kublai's reign was that foreigners became the rulers and administrators. Since they didn't trust the local people, they moved in a large number of Muslims and other people to help them rule the empire. The Mongols had their own religious belief called Shamanism.
Solve for z.
x + y + z = 4
4x - y - z = 1
x + z = 2
Answer:
z= 4-x-y
z= -1+4x-y
z= 2-x
Step-by-step explanation:
z = 2-x
y = -1-z +4x
substitute
x -1 -2+x +4x + 2 -x = 4
-1 + 5x = 4
5x = 5
x = 1
z = 1
1+y+1 = 4
y = 2
???????????
Helppp.
Answer:
C = 25.12
Step-by-step explanation:
C = 2πr
C = 2(3.14)(4)
C = 6.28(4)
C = 25.12
PLEASE HELP!
The blank of y in 17y is 17.
Its either term, variable or coefficient
In the term, 17y 17 is the coefficient of 17y.
What are coefficients and like terms?A quantity or number that is combined with a variable is known as a coefficient. The variable is often multiplied by an integer, which is then printed next to it.
Terms that have the same variables raised to the same power are referred to as like terms. The only difference is in the numerical coefficients.
The term 17y together is a variable, In 17y 'y' is also a variable.
In front of 'y' the constant number is 17 and it is called the coefficient of 'y'.
learn more about coefficients here :
https://brainly.com/question/30066987
#SPJ6
4(8x - 3) - 6 = 5 + 2x
WHATS THE SOLUTION???
Answer:
x = 23/30
Step-by-step explanation:
4(8x - 3) - 6 = 5 + 2x
32x - 12 - 6 = 5 + 2x
32x - 18 = 5 + 2x
32x - 2x = 5 + 18
30x = 23
x = 23/30
Answer:
30x=14
Step by Step Explanation:
32x-9=5+2x
32x-2x=30x
30x-9=5
5+9 is 14
30x=14
A pencil holder in the shape of a cylinder has the dimensions shown in the diagram 20. Which of the following is the closest to the volume of the cylinder, in cubio H 907 cm F 209 cm G 3,627 cm 4,773 cm
Answer:
my best guess would be H
Step-by-step explanation:
I hope this helped and if you have more details that could help me get to a more appropriate answer pls comment them and I'll do my best to help but like I said with what you provided my best guess would be H
selects a piece of candy and eats it (so it is NOT replaced!) Then selects a piece of candy and eats it. Find the probability of each event
Question:
There are 30 candies in a box, all identically shaped. 5 are filled with coconut, 10 with caramel, and 15 are solid chocolate.
You randomly select a piece of candy and eat it (so it is NOT replaced!), then select a second piece. Find the probability of each event
(a) The probability of selecting two solid chocolates in a row.
(b) The probability of selecting a caramel and then a coconut candy.
Answer:
[tex](a)[/tex] [tex]P(Chocolates) = \frac{7}{29}[/tex]
[tex](b)[/tex] [tex]P(Caramel\ and\ Coconut) = \frac{5}{87}[/tex]
Step-by-step explanation:
Given
[tex]Coconut = 5[/tex]
[tex]Caramel = 10[/tex]
[tex]Chocolate = 15[/tex]
[tex]Total = 30[/tex]
For probabilities without replacement, 1 is subtracted after the first selection.
So, we have:
Solving (a): Two solid chocolates
This is calculated as:
[tex]P(Chocolates) = P(First\ Chocolate) * P(Second\ Chocolate)[/tex]
[tex]P(Chocolates) = \frac{n(Chocolate)}{Total} * \frac{n(Chocolate) - 1}{Total - 1}[/tex]
[tex]P(Chocolates) = \frac{15}{30} * \frac{15 - 1}{30 - 1}[/tex]
[tex]P(Chocolates) = \frac{15}{30} * \frac{14}{29}[/tex]
[tex]P(Chocolates) = \frac{1}{2} * \frac{14}{29}[/tex]
[tex]P(Chocolates) = \frac{7}{29}[/tex]
Solving (a): Caramel and Coconut
This is calculated as:
[tex]P(Caramel\ and\ Coconut) = P(Caramel) * P(Coconut)[/tex]
[tex]P(Caramel\ and\ Coconut) = \frac{n(Caramel)}{Total} * \frac{n(Coconut)}{Total - 1}[/tex]
[tex]P(Caramel\ and\ Coconut) = \frac{10}{30} * \frac{5}{30- 1}[/tex]
[tex]P(Caramel\ and\ Coconut) = \frac{10}{30} * \frac{5}{29}[/tex]
[tex]P(Caramel\ and\ Coconut) = \frac{1}{3} * \frac{5}{29}[/tex]
[tex]P(Caramel\ and\ Coconut) = \frac{5}{87}[/tex]