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Related Questions
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.
Answers
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
A lion's heart beats 6 times in 8 seconds. How many heartbeats will it have in 40 seconds?
Answers
Answer:
30 times
Step-by-step explanation
Answer:
30
Step-by-step explanation:
in the diagram below, de is parallel to xy. what is the value of y
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Which expression is equivalent to -3(m + 5)?
A: m - 15.
B: -3m + 5.
C: -3m - 15.
D: - 15m.
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the answer is -3m - 15 .
hope it helps you
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
Answers
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
Answers
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)
Can you divide any number by zero?
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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:
A car salesman receives 3% commission on his total weekly sales. Last week his total sales were £28500
How much commission does he earn?
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Mrs Jenkins buys a car for £3400.
She sells it for £3800.
Work out her percentage profit.
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Answer:
%11.76
Step-by-step explanation:
400/3400x100 = 11.76
