Answer:
[tex]J(x)=1050x+35000[/tex]
Step-by-step explanation:
The complete question is
Anya and Jake started new jobs at the same time. Anya’s starting salary was $42,000, and she gets a $1,500 raise each year. Jake’s starting salary was $35,000, and he gets a 3% raise each year. What function gives Jake’s salary after x years?
The starting salary refers to the initial condition, the salary Jake began from. That means, it's the constant term in the function.
On the other hand, the constant ratio of change of the function is the yearly raise, which is 3% of $35,000. Let's find how much money it is.
[tex]0.03(35000)=1050[/tex]
This means, they raise Jake's salary $1,050 each year, that's the constant ratio of change.
Therefore, the function which represents Jake's salary is
[tex]J(x)=1050x+35000[/tex]
Where [tex]x[/tex] represents years.
PLEASE HELP ME!!! I have no idea what to do-
Barry has a spinner that has 2 equal sections of red and green and 2 marbles, one white and one black. Which of the following represents the sample space for spinning the spinner and picking a black or white marble?
A
B
C
D
Your answer would be the last option, D.
This is because spinning the spinner does not affect which marble you pick, as these are mutually exclusive events. This means that if the spinner lands on red, you could choose a black or white marble, and if the spinner lands on green you could also choose a black or white marble.
The only sample space that represents this is D because it's the only one that includes both black and white options after spinning red and green.
I hope this helps!
Answer:
D
Step-by-step explanation:
What’s 10 x 10 (5+7) x 2
Say 1 if you are a bot so i know if you are real or nktt
Answer:
2400
Step-by-step explanation:
10 x 10 (5+7) x 2
(5+7) = 12
10 x 10 (12) x 2
10x 10 (12) = 1200
1200 x 2 = 2400
The volleyball team is having a pancake breakfast to raise money. The room can hold no more than 120 people. There are 22 coaches and players who will be attending. Which inequality can be used to find the maximum number of people the volleyball team can invite to its fundraiser?
Answer: n+22 less than 120 (B)
Step-by-step explanation:
I got it right on edg
The inequality equation is n ≤ 98
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
The total number of people the room can hold = 120 people
The number of coaches and players = 22
Let the number of people to be invited be n
So , n + 22 should not be more than 120
On simplifying the equation , we get
n + 22 ≤ 120
Subtracting 22 on both sides of the equation , we get
n ≤ 98
Hence , the inequality is n ≤ 98
To learn more about inequality equations click :
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7. Terence came to Canada shopping on a long weekend.
The exchange rate for his US money was $1.00 US to $1.05 Canadian
a) How many Canadian dollars would Terence get for $500.00 US?
Terence would receive $525.00 Canadian after exchanging $500.00 US at an exchange rate of $1.00 US to $1.05 Canadian.
Terence exchanged his US dollars to Canadian dollars with an exchange rate of $1.00 US to $1.05 Canadian. To calculate the amount of Canadian dollars Terence would get for $500.00 US, we use the formula:
Total Canadian Dollars = Amount in US dollars times Exchange rate
So,
Total Canadian Dollars = $500.00 US times $1.05 Canadian
Therefore, Terence would get $525.00 Canadian for his $500.00 US.
An inspector checks 98 cell phones and finds that 2 of them are defective. A company has 850 of these phones. How many of the company's phones are likely to be defective?
Answer:
17
Step-by-step explanation:
As 2 phones are defective from a group of 98 that were checked, you can determine a percentage:
2/98= 2%
This indicates that 2% of the phones are likely to be defective and because of that you can find 2% of 850:
850*2%= 17
According to this, 17 phones are likely to be defective.
what is y=x^2-9x+20 I need the answer for this while I'm still learning this slowly
Answer:
x=5 x=4
Step-by-step explanation:
y=x^2-9x+20
Set equal to zero
0 =x^2-9x+20
Factor
What two numbers multiply to 20 and add to -9
-5*-4 = 20
-5+-4 = -9
0=(x-5) (x-4)
Using the zero product property
x-5 =0 x-4 =0
x=5 x=4
Johnetta simplified seven over nine divided by three over eight.; her work is shown below. Identify where she made her error.
Original division problem: seven over nine divided by three over eight.
Step 1: seven over nine multiplied by three over eight.
Step 2: seven times three over nine times eight.
Step 3: twenty-one over seventy-two.
Step 4: seven over twenty-four.
Answer:
She made an error in step 1.
To change a division of fractions to a multiplication problem, you multiply by the reciprocal of one of the numbers (use the KFC rule of Keep, Flip, Change). Keep 7/9, flip the sign (division to multiplication), and change 3/8.
Johnetta should have done 7/9 times 8/3, which would be 56/27.
(Hope this helps) Sky :)
To change a division of fractions to a multiplication problem, you multiply by the reciprocal of one of the numbers (use the KFC rule of Keep, Flip, Change). Keep 7/9, flip the sign (division to multiplication), and change 3/8.
Johnetta should have done 7/9 times 8/3, which would be 56/27.
step 1 is wrong
Which decimal is equivalent to 8/11 ?
A. 0.72
B. 0.72
C. 0.88
D. 0.88
Answer:
B. 0.72
Step-by-step explanation:
8/11 = 0.72
3 = g/-4 - 5
What does g equal?
Answer:
-32 = g
Step-by-step explanation:
3 = g/-4 - 5
Add 5 to each side
3+5 = g/-4 - 5+5
8 = g / -4
Multiply each side by -4
8*-4 = g / -4 * -4
-32 = g
7n-1 >-169
Is it greater than -24 or less than -24
Answer:
It is greater than -24
Step-by-step explanation:
-170 divided by 7 is -24.2857...(repeating)
-170 is from doing -169 - 1
The answer to the question is that 7n - 1 is greater than -24.
To determine the relationship between 7n - 1 and -24, we need to solve the inequality 7n - 1 > -169 and then compare the solution to -24.
First, let's solve the inequality 7n - 1 > -169:
7n - 1 + 1 > -169 + 1
7n > -168
n > -168 / 7
Now, we have the solution to the inequality, which tells us that n must be greater than -24 to satisfy the inequality 7n - 1 > -169.
Since n > -24, it follows that 7n - 1 will also be greater than 7(-24) - 1. Let's calculate 7(-24) - 1:
7(-24) - 1 = -168 - 1 = -169
But we know from the inequality that 7n - 1 is strictly greater than -169. Therefore, 7n - 1 must be greater than -24 as well, because -169 is less than -24.
Hence, 7n - 1 is greater than -24.
A drawer contains 4 red socks, 5 white socks, and 6 blue socks. Without looking, you draw out a sock and then draw out a second sock without replacement. What is the probability that the first and the second sock are both white?
Answer:
Mr. Flores has mismatched socks in his drawer. He has 5 white, 12 black and 1 gray sock. Destiny selected two socks from the drawer. What is the probability that both socks are black?
Step-by-step explanation:
i need help dont judge me
Find the percent change from 84 to 63.
Answer:
-25%
Step-by-step explanation:
I hope that helps
What is the distance between points A and B? Use absolute value to explain your answer.
Answer:
9 units from point A to B.
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
because if you count the graph you will count nine
HELP! Solve for x. Photo attached 15 points to answer
Answer:
x=7
Step-by-step explanation:
Inscribed Angle =1/2 Intercepted Arc
<T = 1/2 (WRS)
11x+5 = 1/2(10x-6 + 100)
Multiply each side by 2
2(11x+5 )= (10x-6 + 100)
Distribute
22x +10 = 10x+94
Subtract 10x from each side
22x-10x +10 = 10x-10x+94
12x +10 = 94
Subtract 10 from each side
12x = 94-10
12x = 84
Divide each side by 12
12x/12 = 84/12
x = 7
Approximate the real zeros f(x)=3x^4+x^2-1 to the nearest tenth
a. -0.7,0.7
b.-0.5,0.5
c.-7,7
d.-0.6,0.6
Answer:
Option a is correct
Step-by-step explanation:
Given: [tex]3x^4+x^2-1[/tex]
To find: roots of the equation
Solution:
A number x is a root of an equation if it satisfies the equation. It is a real root if it is also a real number.
[tex]3x^4+x^2-1[/tex]
Take [tex]y=x^2[/tex]
[tex]3x^4+x^2-1=3y^2+y-1[/tex]
For an equation of the form [tex]ay^2+by+c=0[/tex], roots are given by [tex]y=\frac{-1\pm \sqrt{1+12}}{6}[/tex]
So,
[tex]x^2=\frac{-1\pm \sqrt{1+12}}{6}=\frac{-1\pm \sqrt{13}}{6}\\x=\pm \sqrt{\left ( \frac{-1\pm \sqrt{13}}{6} \right )}[/tex]
Real zeroes:
[tex]x=\pm \sqrt{\left ( \frac{-1+\sqrt{13}}{6} \right )}\\=\pm \sqrt{\left ( \frac{-1+ 3.61}{6} \right )}\\=\pm \sqrt{\left ( \frac{2.61}{6} \right )} \\=\pm \sqrt{0.44}\\=\pm 0.7[/tex]
Answer:a. -0.7, 0.7
Step-by-step explanation:
20 pts & brainliestttt pls help soon
What is the value of x in the product of powers below?
6 ^ 9 times 6 ^ x = 6 ^ 2
A)-11
B) -7
C) 7
D) 11
Answer:
The answer is B .
Step-by-step explanation:
You have to use Indices Law,
[tex] {a}^{m} \times {a}^{n} = {a}^{(m + n)} [/tex]
So for this question :
[tex] {6}^{9} \times {6}^{x} = {6}^{2} [/tex]
[tex] {6}^{9 + x} = {6}^{2} [/tex]
[tex]9 + x = 2[/tex]
[tex]x = 2 - 9[/tex]
[tex]x = - 7[/tex]
Answer:
the answer is B
Step-by-step explanation:
What is StartFraction pi Over 3 EndFraction radians converted to degrees? If necessary, round your answer to the nearest degree.
30°
45°
60°
90°
Answer: 60°
Step-by-step explanation:
π/3
Since π is denoted as 180°, the question can be rewritten as:
π/3 .
To convert π/3 radians to the nearest degree will be:
π/3 = 180/3
= 60°
This shows that the value of π/3 rads is equal to 60°
Data;
[tex]\frac{\pi }{3}[/tex]radsConversion of radians to degreeThe formula of conversion from radians to degrees is given as
[tex]\pi rads = 180^0[/tex]
Let's convert our given radians to degrees.
[tex]\pi rads = 180^0\\\frac{\pi}{3} = ?\\[/tex]
This becomes
[tex]\frac{\pi }{3} * 180 = \pi \\\\\frac{\pi }{3} rads = \frac{180}{3} \\\frac{\pi }{3} rads = 60^0[/tex]
What we did was equate π rads to 180°, cross multiply the sides with π/3 and solve.
This shows that π/3 rads is equal to 60°
Learn more on conversion of radians to degrees here
https://brainly.com/question/3004847
The length of a rectangle is 5 centimeters less than its width. What’s re the dimensions of the rectangle if it’s area is 300 square centimeters?
I need the length of one of the side and the width
Answer: The length of rectangle is 15 cm and width is 20 cm
Step-by-step explanation:
As according to question
Let the width of rectangle = x cm
Length of rectangle =(x- 5) cm
Area of rectangle is 300 cm²
As we know Area of rectangle is given by
[tex]Area = length \times breadth \\\\\Rightarrow 300 = (x-5)x\\\\\Rightarrow 300 = x^2-5x\\\\\Rightarrow x^2-5x-300 = 0 \\\\\Rightarrow x^2-20x+15x-300 = 0 \\\\\Rightarrow x(x-20) +15(x-20) =0\\\\\Rightarrow (x-20)(x+15)=0[/tex]
Therefore either (x-20)= 0 or (x+15)=0
i.e. either x= 20 or x = -15
Now width can not be negative
Therefore it cant be -15
Hence the width is 20 cm
Length = x- 5 = 20-5 = 15 cm
Hence the length of rectangle is 15 cm and width is 20 cm
Final answer:
To find the dimensions of a rectangle when given the area, set up an equation using the information and solve for the unknowns.
Explanation:
To find the dimensions of the rectangle, we can set up an equation using the given information. Let's use 'L' to represent the length and 'W' to represent the width. The problem states that the length is 5 centimeters less than the width, so we can write the equation as: L = W - 5.
We also know that the area of a rectangle is found by multiplying the length and width together. In this case, the area is given as 300 square centimeters. So, we can write another equation: L * W = 300.
Now, we can substitute L = W - 5 into the second equation to solve for the width. (W - 5) * W = 300. Simplifying this equation will give us a quadratic equation, which we can solve to find the width. Once we know the width, we can subtract 5 to find the length.
Help plz
With steps will give brainliest !!!!
Answer:
32 minutes.
Step-by-step explanation:
Hello there!
Add the time of the movie to the time they arrived:
10:15+48=11:03
Then subtract this number from 11:35
11:35-11:03=32 minutes
:)
pls pls pls help me i dont understand and its due in a few mins pls pls help me
Answer:
Total expenses: $245.00
Total revenue: $479.00
Total profit $234.00
Step-by-step explanation:
Just did it and got it correct
–5(–2) =
PLEASE HURRY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
ILL MAKE YOU BRAINLIEST!
Answer:
10
Step-by-step explanation:
- x - =+
Answer:
+10
Step-by-step explanation:
because when u multiply by 2 negatives u get a positive
The population of Casperville is 1450. A sample of 100 people in the town was asked if they owned a landline, and 6 responded yes. What is the best estimate of the percent of the people in Casperville who will have landlines?
Answer:
Step-by-step explanation:
Hello!
The variable of interest is:
X: Number of people in Casperville that own a landline out of 100 people.
There is a fixed number of surveys made (trials) n=100, for each trial there are two possible answers, "success": the person owns a landline, and "failure": the person doesn't own a landline. Assuming each person is independent of the others and that the probability of success is the same for all trials, we can say that this variable has a binomial distribution: X~Bi(n;p)
To estimate the proportion/ percentage of people in Casperville that owns a landline you have to calculate the sample proportion:
^p=[tex]\frac{number of "successes"}{n} = \frac{6}{100} = 0.06[/tex]
6% of the people surveyed owns a landline.
I hope this helps!
Select all names that apply.
π/6(that's supposed to be a fraction)
A real
B irrational
C whole
D integer
The value π/6 is a real number and not an integer, whole or irrational number. This is because it's expressed as a fraction, disqualifying it from being either an integer or whole number, and because it's found on the number line, making it a real number.
Explanation:The given value π/6 represents a fractional value in the context of mathematics. This number is not an integer nor a whole number, because those categories only include non-fractional numbers. The value is real, which is a category that includes all numbers that can be positioned on the number line, inclusive of both rational and irrational numbers. The given number, π/6, is not an irrational number, because irrational numbers are numbers which cannot be expressed as a fraction, and our given number, π/6, is obviously expressed as a fraction.
Learn more about Number Classification here:https://brainly.com/question/32665385
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If the given absolute value inequality is a less than or less than or equal to statement, then the answer will be _____________.
Answer:
[tex]-b\leq a\leq b[/tex]
Step-by-step explanation:
When we have absolute value inequalities, there are specific way to find the solution sets.
If [tex]|a| < b[/tex] then [tex]-b<a<b[/tex]
If [tex]|a| >b[/tex] then [tex]a>b[/tex] or [tex]a<-b[/tex]
These definitions apply for the inequlity signs that involve equivalence.
If [tex]|a| \leq b[/tex] then [tex]-b\leq a\leq b[/tex]
If [tex]|a| \geq b[/tex] then [tex]a\geq b[/tex] or [tex]a\leq -b[/tex]
Therefore, the expression that completes the statement is
[tex]-b\leq a\leq b[/tex]
30,45,x,100; the mean is 60
if there are 4 numbers that average to 60, when mutiplied they must come up to: 60*4= 240
100+30+45= 175
240-175= 65
PROOF:
100+30+45+65= 240
240÷ 4
= 60
Answer:
x=65
Step-by-step explanation:
Mean= sum of terms
number of terms
60=30+45+x+100
4
240=175+x
x=240-175
=65
A store sold 28 pairs of cross-trainer shoes for a total of $2,220. Style A sold for $70 per pair and Style B sold for $90 per pair. How many of each style were sold?
Answer:
Style A sold 15 pairs while Style B sold 13 pairs
Step-by-step explanation:
Let the number of Style A pairs be A.
Let the number of Style B pairs be B.
The store sold 28 pairs of cross-trainer shoes for a total of $2,220 and Style A sold for $70 per pair while Style B sold for $90 per pair.
This implies 2 things:
A + B = 28 ________________ (1)
and
(70*A) + (90*B) = 2220
=> 70A + 90B = 2220 ________(2)
We now have two simultaneous equations:
A + B = 28 ________________ (1)
70A + 90B = 2220 __________(2)
From (1):
A = 28 - B ________________ (3)
Put (3) in (2):
70(28 - B) + 90B = 2220
1960 - 70B + 90B = 2220
1960 + 20B = 2220
Collecting like terms:
20B = 2220 - 1960
20B = 260
B = 260 / 20
B = 13
Therefore:
A = 28 - 13 = 15
Style A sold 15 pairs while Style B sold 13 pairs.
Final answer:
By setting up and solving a system of equations, it was determined that the store sold 15 pairs of Style A shoes and 13 pairs of Style B shoes.
Explanation:
To determine how many pairs of Style A and Style B cross-trainer shoes were sold, we can set up a system of linear equations using the information provided: 28 pairs of shoes were sold for a total of $2,220, with Style A shoes selling for $70 per pair and Style B selling for $90 per pair.
Let x represent the number of Style A shoes sold and y represent the number of Style B shoes sold. We can then set up the following equations based on the information provided:
System of Equations
Total cost equation: 70x + 90y = 2220 (since Style A costs $70 and Style B costs $90)
-70(x + y) = -70(28), which simplifies to -70x - 70y = -1960
70x + 90y = 2220
Adding the two equations results in:
20y = 260
Dividing both sides by 20 gives us y = 13.
Now we substitute y back into the first equation to find x:
x + 13 = 28
x = 28 - 13
x = 15.
Therefore, the store sold 15 pairs of Style A shoes and 13 pairs of Style B shoes.
Find the GFC of 56 and 84. A factor tree for 84 is given below.
A factor tree for 84. 84 breaks into 21 and 4, 21 breaks into 7 and 3, and 4 breaks into 2 and 2.
The GCF of 84 and 56 is .
Answer:
I believe the answer is 28. Hope this helps :)
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56
The factors of 84 are: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Credit cards place a three-digit security code on the back of cards. What is the probability that a code starts with the number 7?
Answer: 1/10
Step-by-step explanation: because there are 10 numbers (1,2,3,4,5,6,7,8,9, and 0)
How do you answer this
Answer:
Answer: 23.7
Step-by-step explanation: Its correct on Brainly.
I need can you help me please I need it
-5t + 70
70 is the y-intercept, which is where we start.
-5t means that it will move at a rate of -5/1 or 5 down and 1 across.