Answer:x=2
Step-by-step explanation:
Mrs Jenkins buys a car for £3400.
She sells it for £3800.
Work out her percentage profit.
Answer:
%11.76
Step-by-step explanation:
400/3400x100 = 11.76
The aquarium opened at 8.00 am . In the first hour 140 people purchased admission tickets . In the second hour 25 % more people purchased admission tickets than the first hour . Each ticket cost 15.25 . What was the total amount of money paid for all the tickets purchased in the first two hours please help
Answer:
Total income= $4,083.75
Step-by-step explanation:
First, we need to calculate the total number of people that enter the aquarium in the first two hours.
1st hour= 140
2nd hour= 140*1.25= 175
Total number of people= 315
Now, we can determine the total amount of money earned:
Each ticket cost 15.25.
Total income= 315*15.25
Total income= $4,083.75
Use the limit definition of the derivative to find the slope of the tangent line to the curve
f(x)= 7x^2 + 7x + 3 at x= 4
Answer:
[tex]\displaystyle f'(4) = 63[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Expand by FOIL (First Outside Inside Last)FactoringFunction NotationTerms/CoefficientsCalculus
Derivatives
The definition of a derivative is the slope of the tangent line.
Limit Definition of a Derivative: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]
Step-by-step explanation:
Step 1: Define
f(x) = 7x² + 7x + 3
Slope of tangent line at x = 4
Step 2: Differentiate
Substitute in function [Limit Definition of a Derivative]: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{[7(x + h)^2 + 7(x + h) + 3]-(7x^2 + 7x + 3)}{h}[/tex][Limit - Fraction] Expand [FOIL]: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{[7(x^2 + 2xh + h^2) + 7(x + h) + 3]-(7x^2 + 7x + 3)}{h}[/tex][Limit - Fraction] Distribute: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{[7x^2 + 14xh + 7h^2 + 7x + 7h + 3] - 7x^2 - 7x - 3}{h}[/tex][Limit - Fraction] Combine like terms (x²): [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7x + 7h + 3 - 7x - 3}{h}[/tex][Limit - Fraction] Combine like terms (x): [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7h + 3 - 3}{h}[/tex][Limit - Fraction] Combine like terms: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7h}{h}[/tex][Limit - Fraction] Factor: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{h(14x + 7h + 7)}{h}[/tex][Limit - Fraction] Simplify: [tex]\displaystyle f'(x)= \lim_{h \to 0} 14x + 7h + 7[/tex][Limit] Evaluate: [tex]\displaystyle f'(x) = 14x + 7[/tex]Step 3: Find Slope
Substitute in x: [tex]\displaystyle f'(4) = 14(4) + 7[/tex]Multiply: [tex]\displaystyle f'(4) = 56 + 7[/tex]Add: [tex]\displaystyle f'(4) = 63[/tex]This means that the slope of the tangent line at x = 4 is equal to 63.
Hope this helps!
Topic: Calculus AB/1
Unit: Chapter 2 - Definition of a Derivative
(College Calculus 10e)
Please help me with this
Answer:
1 h 30 minuutes
Step-by-step explanation:
[tex]1.5 \: hr = 1 \: hr + 0.5 \times 60 \: min \\ \\ = 1 \: h \: 30 \: min \\ \\ [/tex]
Answer:
1.5 Hrs x 60 minutes = 90 minutes
1 hour 30 minutes
Which of the following is an equation with ONE solution?
A
2x = 2x + 18
B
2x - 10 = 2(x - 5)
C
5(x + 3) + x
D
2x + 5= 11 - 4x
6x times (-2y)
Urgent please send solution
Answer:
_2y6x
Step-by-step explanation:
this is the answer
I hope it will helps you
Can somebody help me please
Four friends shopped at the Sale Depot for movies. Robby went on Monday and bought three movies for $15.36. Paula went on Wednesday and bought five movies for $27.40. Trey went on Thursday and bought four movies for $20.08. Madison went on Friday and bought six movies for $31.44.
Answer: See explanation
Step-by-step explanation:
You didn't say what you want to get but I'm guessing that you want to know who had the cheapest deal or the best deal.
Robby went on Monday and bought three movies for $15.36. The cost per movie will be:
= $15.36/3
= $5.12
Paula went on Wednesday and bought five movies for $27.40. The cost per movie will be:
= $27.40/5
= $5.48
Trey went on Thursday and bought four movies for $20.08. The cost per movie will be:
= $20.08/4
= $5.02
Madison went on Friday and bought six movies for $31.44. The cost per movie will be:
= $31.44/6
= $5.24
We can see that Trey had the best deal.
Un elev a depus la banca suma de 250 lei. Știind ca banca oferă dobânda anuala de 1%,iar stația impozitează dobânda cu 16%,aflati ce suma va avea elevul după un an de depunere.
Răspuns:
292,50
Explicație pas cu pas:
Dobânda totală% = (1% + 16%) = 17% = 17/100 = 0,17
Suma principală depusă, P = 250
Suma totală, A după 1 an poate fi calculată astfel:
A = P (1 + rt)
Unde ; r = rata dobânzii; t = timp
A = 250 (1 + (0,17 * 1))
A = 250 (1,17)
A = 292,5
in the diagram below, de is parallel to xy. what is the value of y
Part A: You have $0.80 in your backpack in dimes and quarters. Let x represent the number of dimes and y represent the number of quarters. Write an equation in standard form that represents the situation
____x+____ y=____
Part B: You have $0.80 in your backpack in dimes and quarters. Let x represent the number of dimes and y represent the number of quarters. If you have 2 quarters in your backpack, how many dimes do you have?
______
Which expression is equivalent to -3(m + 5)?
A: m - 15.
B: -3m + 5.
C: -3m - 15.
D: - 15m.
the answer is -3m - 15 .
hope it helps you
Can you divide any number by zero?
Answer:
well basically no so i say no
Step-by-step explanation:
you can but you wouldn't get a answer because you would only get the same answer so..
Answer:
When we try to divide by zero, things stop making sense
Step-by-step explanation:
Jeremy received a Bill with a balance due of 25.60
Answer:
6.40$
Step-by-step explanation:
HOPE THIS HELPS
PLZZ MARK BRAINLEIST
4 divided by 2 (2/5) ???
Answer:
as decimal = 2
as fraction = 1/2
