Answer:
Let's wrote both equations:
In both cases, we start at $3800.
For the case where you have an increase of $1000 per year, the yearly pay as a number of years, x, will be:
f(x) = $3800 + x*$1000
In the case where we have an increase of 3%, the first year the annual pay will be:
$3800 + (3%/100%)*$3800 = $3800*(1.03)
The next year, the annual pay will be:
$3800*(1.03) + (3%/100%)*($3800*(1.03)) = $3800*(1.03)^2
You already can see the pattern, after x years, your annual pay will be:
g(x) = $3800*(1.03)^x
1) Which option models exponential growth?
This is g(x) = $3800*(1.03)^x, the case where you get an increase of the 3% each year.
2) Which option earns more money after year 1?
we can evaluate both functions:
f(1) = $3800 + $1000*1 = $4800
g(1) = $3800*(1.03) = $3914
Then the case where you get $1000 per year earns more money after only one year.
3) Which option earn more money after year 7?
Let's evaluate both functions in x = 7.
f(7) = $3800 + $1000*7 = $10800
g(7) = $3800*(1.03)^7 = $4673.5
Still the first option is better.
Can I please get some help on question 8
I will give you brainliest
Answer:
A) 2.8 m
Step-by-step explanation:
The formula for the volume of a right rectangular prism is:
Volume = Length × breadth × height
We can just put in the values that we know to find the height.
110.1 = 7.8 × 5.1 × height
height = 110.1 ÷ 7.8 ÷ 5.1
height ≈ 2.8 (rounded to nearest tenth)
Thus, the answer is Option A.
Answer:
A) 2.8 m
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Geometry
Volume of a Rectangular Prism: V = lwhStep-by-step explanation:
Step 1: Define
l = 7.8 m
w = 5.1 m
V = 110.1 m³
Step 2: Solve for h
Substitute [VRP]: 110.1 m³ = (7.8 m)(5.1 m)hMultiply: 110.1 m³ = (39.78 m²)hIsolate h: 2.76772 m = hRewrite: h = 2.76772 mRound: h ≈ 2.8 mconvert to radical form (3) 2/3
Answer:
The radical form of 3 2/3 is
[tex] \sqrt[3]{3 {}^{2} } [/tex]
Mario's Pizza delivers pizzas within a 10-mile radius of the restaurant. Their delivery times are Normally distributed with a mean delivery time of 30 minutes and a standard deviation of 10 minutes. Find the probability that a randomly selected customer will have to wait a) less than 25 minutes b) more than 38 minutes c) between 26 and 32 minutes
Answer:
a) 0.30854
b) 0.21186
c) 0.23468
Step-by-step explanation:
Mario's Pizza delivers pizzas within a 10-mile radius of the restaurant. Their delivery times are Normally distributed with a mean delivery time of 30 minutes and a standard deviation of 10 minutes.
We solve using z score formula.
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
Find the probability that a randomly selected customer will have to wait
a) less than 25 minutes
for x < 25 minutes
z = 25 - 30/10
z = -0.5
Probability value from Z-Table:
P(x<25) = 0.30854
b) more than 38 minutes
For x > 38 minutes
z = 38 - 30/10
z = 0.8
Probability value from Z-Table:
P(x<38) = 0.78814
P(x>38) = 1 - P(x<38) = 0.21186
c) between 26 and 32 minutes
For x = 26 minutes
z = 26 - 30/10
z = -0.4
Probability value from Z-Table:
P(x = 26) = 0.34458
For x = 32 minutes
z = 32 - 30/10
z = 0.2
Probability value from Z-Table:
P(x = 32) = 0.57926
The probability that a randomly selected customer will have to wait between 26 and 32 minutes is calculated as:
P(x = 32) - P(x = 26)
= 0.57926 - 0.34458
= 0.23468
Write 81+72 as a proudect using gcf as one of the factors
Step-by-step explanation:
Since 81 = 9² and 72 = 9 * 8,
81 + 72 = 9(9 + 8) = 9 * 17.
An expression is defined as a set of numbers, variables, and mathematical operations. The expression 81+72 as a product using GCF as one of the factors can be written as 9(9+8).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The expression 81+72 as a product using GCF as one of the factors can be written as,
81+72
= 9(9+8)
Hence, the expression 81+72 as a product using GCF as one of the factors can be written as 9(9+8).
Learn more about Expression:
https://brainly.com/question/13947055
#SPJ2
Sole The Problem Below
Answer:
1
Step-by-step explanation:
you can just use trial and error
I hope that this helps!
A baker has 3/4 pound of sugar left in his Pantry needs one eighth of a pound for each batch of cookies he makes what is the greatest number of batches of cookies the baker can make with 3/4 of powdered sugar
Write 0.369 as a percent.
What does g=? Please helppp
Give three examples of ratios that are equivalent to 2:3
Answer:
12:18
8:12
4:6
are the correct answers
Answer:
4:6, 8:12, 6:9
Step-by-step explanation:
at what point do the graphs of 9x - 2y = 30 and x + 2y = 10 intersect
Answer:
(4,3)
Step-by-step explanation:
8x=6x+18________________________________________________________________
Answer:
x = 9
Step-by-step explanation:
8x = 6x + 18
2x = 18
x = 9
Answer:
x = 9
Step-by-step explanation:
8x = 6x + 18 (subtract 6x from each side)
2x = 18 (divide each side by 2)
x = 9
PLS HELP I JDAHFJAH PLS Look at this linear inequality.
y <-4x - 1
Which graph shows the solution to the linear inequality?
Answer:
first one is correct
Step-by-step explanation:
SOLVE ASAP
A. 18%
B. 5%
C. 12%
D. 17%
Answer:
D or A cause the answer is 17.2
Step-by-step explanation:
how dose 3^x=10 and x^3=10 differ
Why do you need to use a different method in the two previous problems?
Can y’all help me on question 21
Answer:
D. 2.865
Step-by-step explanation:
simply subtract 35.209 from 38.074
Answer: 2.865
Step-by-step explanation:
if this is as simple as i think it is, then you just subtract 35.209 from 38.074. that gets you your answer (2.865).
Evaluate the expression when b= 113
A new sports car costs $21,000 at the dealership. If the dealership is
having a weekend sale of 20% off of all new cars, how much will the car be on
sale?
Answer:
16,800 dollars
Step-by-step explanation:
1. find 20 percent of 21,000= 4,200
2. subtract 4,200 from 21,000
21,000
-4,200
16,800 dollars
Angad is 10 years older than Alex. Mark is 11 years younger than Alex. If the total of their ages is 68, how old is the youngest of them?
Answer:
47
Step-by-step explanation:
Can someone please help me on this question
I will give brainliest
Answer:
A) 3 in
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Geometry
Surface Area of a Sphere: SA = 4πr²Diameter: d = 2rStep-by-step explanation:
Step 1: Define
SA = 23 in²
Step 2: Find r
Substitute [SAS]: 23 in² = 4πr²Isolate r term: 23 in²/(4π) = r²Isolate r: √[23 in²/(4π)] = rRewrite: r = √[23 in²/(4π)]Evaluate: r = 1.35288 inStep 3: Find d
Substitute [D]: d = 2(1.35288 in)Multiply: d = 2.70576 inRound: d ≈ 3 inWhat is the value of x in the equation 2.5 minus 0.25 x = negative 3
Answer:
-22
Step-by-step explanation:
Mario tried to solve an equation step by step 4/3=q+1/3
4/3-1/3=q+1/3-1/3 step one
2/3=q step two
where did he make the mistake or is this correct
Answer:
Step 2
Step-by-step explanation:
Answer: step two
Step-by-step explanation:
can someone please help my ASAP
Domain: (-∞, ∞)
Range: (-∞,1]
Answer:
Domain = All Real Numbers
Range = y≤1
Step-by-step explanation:
Since parabolas are continuous, the domain is all real numbers. The range, or y value, is all real numbers less than or equal to 1 (y≤1), since 1 is the vertex.
Hope this helps :)
What’s the slope of the line for each of these! Hurry I at testing!
Mr. Tieu spent $23 on apples, bananas, and oranges. He bought 10 more apples than oranges, and 6 fewer bananas than apples. How many of each kind of fruit did he purchase if one apple costs 70 cents, one apples costs 50 cents, and an orange costs 80 cents each?
Answer:
apples: 17
oranges: 11
bananas: 7
Step-by-step explanation:
hope this helps!
Lena and 3 of her friends bought just enough food to go on a 12- day camping trip. Pete and Jane surprised them by showing up at the start of the trip and asking to join, but they brought no food. By what percent would the time for the trip shorten for the trip if everyone ate their normal portions?
The number of people increased by 2.
This means as a ratio it is now 6/4 as many as originally planned.
6/4 can be reduced to 3/2.
The time and the number of people are inversely proportional, so the food would last 2/3 ( inverse is flipping the original ratio over) the original length of time.
This means the length of time the food lasts is reduced by 1/3, which is 33.3%
whats 6/2 i have the math homework and it says that.
Answer:
3
Step-by-step explanation:
2times3=6
Which expression is equivalent to the following?
(5×10−3)+(6×10−3)2.2×104
A.5 × 10-7
B.5 × 10-1
C.5 × 10-10
D.5 × 107
Answer:
1.32 * 10^2
Step-by-step explanation:
Given the expression;
(5×10−3)+(6×10−3)2.2×10^4
First we need to do the multiplication first;
= (5×10−3)+(13.2×10−3+4)
= (5×10−3)+(13.2×10^1)
= 0.005 + 132
= 132.005
= 1.32 * 10^2
Hence the equivalent expression is 1.32.0 * 10^2
Find the sum (4d+9)+(7n-4)+(9y+5)
Answer:
4d + 7n + 9y + 18
Step-by-step explanation:
Add like terms, like terms are terms that have the same variable and power, For ex: 4d and 2d are like temrs so u can add them but 4d and 4d^2 are not cause they have different power(the ^2 thing).
(4d+9)+(7n-4)+(9y+5)
add like terms
4d + 7n + 9y + 18
What is the parent function for f(x) = (x+7)^2?
Answer:
I think The parent function is the simplest form of the type of function given g(x)=x^2
Step-by-step explanation:
If a car travels 400 km in 2 hours, how fast is it going? pleasee i need the answer asap
Answer:
124m/s
Step-by-step explanation: