Given:
The value of car before two years = £10000
The value of the car decreases by 5% each year.
To find:
The present value of the car.
Solution:
The exponential decay model for present value is
[tex]y=a\left(1-\dfrac{r}{100}\right)^t[/tex]
Where, a is the initial value, r is the rate of decay and t is time in years.
Putting P=10000, r=5 and t 2, we get
[tex]y=10000\left(1-\dfrac{5}{100}\right)^2[/tex]
[tex]y=10000\left(1-0.05\right)^2[/tex]
[tex]y=10000\left(0.95\right)^2[/tex]
On further simplification, we get
[tex]y=10000(0.95)(0.95)[/tex]
[tex]y=9025[/tex]
Therefore, the present value of the car is £9025.
The first three terms of a sequence are given. Round to the nearest thousand (if necessary). 9, 18, 36 Find the 6th term.
Dana has to pay 30% tax on any income above £30,000 per year.
Dana is paid £45,000 annually.
Calculate the amount of money she receives after tax each month.
Find the product.
10(-7)
Answer:
-70
Step-by-step explanation:
If a number is right by a parathesis () then you multiply the number inside the parathesis by the number next to them.
question 7 is in the pic
Answer:
B.
Step-by-step explanation:
This is the information the histogram represents.
Hope it helps!
Answer:
B I think?
Step-by-step explanation:
Hope its right
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:
Find the value of x. 4 х 25 10 X = = [?]
Answer:
X=10
Step-by-step explanation:
convert 2.5t into pounds
Answer:
5000 Pounds
Step-by-step explanation:
I'm pretty sure this is the answer if not I'm honestly sorry.
Answer:
5512 lbs
Step-by-step explanation:
What is the answer???
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)
Is the function even,odd, or neither
Answer:
even :D
Step-by-step explanation: :D
Hi! need help asap xx
Answer:
C
Step-by-step explanation:
The 3 triangles are all similar.
Using the 2 inside then the ratios of corresponding sides are equal, that is
[tex]\frac{x}{3}[/tex] = [tex]\frac{12}{x}[/tex] ( cross- multiply )
x² = 36 ( take the square root of both sides )
x = [tex]\sqrt{36}[/tex] = 6 → C
Answer:
C) x = 6
because this is a right triangle
=> we have:
(12² + x²)(3² + x²) = (15x)²
<=> 1296 + 153x² + x⁴ = 225x²
<=> x⁴ - 72x² + 1296 = 0
<=> (x² - 36)² = 0
<=> x² = 36
=> x = 6
A car salesman receives 3% commission on his total weekly sales. Last week his total sales were £28500
How much commission does he earn?
in the diagram below, de is parallel to xy. what is the value of y
2/5 divided by 4 and reduce the answer
Answer:
1/10 i guess
Step-by-step explanation:
2/5=0.4
0.4/4=0.1
0.1=1/10 (one tenth_
Answer:
1/10
Step-by-step explanation:
2/5 ÷4 is the same as 2/20, which is 1/10
Sarah has to pay a one-time $300 deposit for her apartment. Each month she pays $700 for rent. How much would Sarah pay for “n” months?
Answer:
I don't know.
Step-by-step explanation:
Simplify the expression -2 (x + 4 + 5y).
Answer:
-2x-10y-8
Step-by-step explanation:
Rearange terms
-2(x+4+5y)
-2(x+5y+4)
Distribute
A lion's heart beats 6 times in 8 seconds. How many heartbeats will it have in 40 seconds?
Answer:
30 times
Step-by-step explanation
Answer:
30
Step-by-step explanation:
How should the decimal point in 4.003 be moved to determine the product of 100 × 4.003?
brainliest if right easy question
move it 1 place to the right
move it 2 places to the right
move it 3 places to the right
move it 4 places to the right
Answer:
Two places to the right.
Step-by-step explanation:
Since theres two zeros in 100, move the decimal two places to the right, making it 400.3.
HELP MEEEEEEEEEEEEE!!!!!!!!!!!!!!!!
Answer:
linear or Quadratic
i hope it works
what is the answer to this question
Answer:
it would be c. 5 1/4
Step-by-step explanation:
Determine if each of the numbers below is a solution to the inequality 3x-2<2-2x. SHOW ALL OF YOUR WORK
a. 2
b. 1/2
c. -3
d. 2/3
Answer:
b, c, and d are solutions
Step-by-step explanation:
3x - 2 < 2 - 2x
5x - 2 < 2
5x < 4
x < 4/5
b) 1/2 < 4/5 true
c) -3 < 4/5 true
d) 2/3 < 4/5 true
Please help asap!! I will mark you as brainliest. :)
Wesley drives 12 miles to work every day. During his drive to work he sees 18 billboards. Which ratio shows miles driven to billboards seen by Wesley?
Answer:
2:3
Step-by-step explanation:
divide both by 6.
2x - 2 = x-5
I’ll give 35 points plz help
Answer:
x = -3
Step-by-step explanation:
2x-x=-5+2
x = -3
Would it be better to have a higher interest rate on a loan or on an investment? Explain.
Answer:
When a company borrows money it is better to have a low interest rate. The lower the interest rate, the less amount of money the company has to pay back as interest on the loan.
Step-by-step explanation:
Is it better to have a higher interest rate when a company borrows money or to have a lower interest rate?
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
Hi if u could help me that'd be great
Answer:
1 hour and 45 minutes
and 1 hour
Step-by-step explanation:
x= run
y= walk
5x+2.5y = distance
5x+2.5(1.5)=12.5
solve for x
5x=8.75
x=1.75
1.75 in hours is 1 hour and (60*.75)=45
1 hour and 45 minutes
" If the marathon race participant ran for 2 hours, how many hours did the participant walk?"
We use the same equation
5x+2.5y=distance
we'll assume that they till walked 12.5 miles
which means that
5(2)+2.5y=12.5
solve for y
2.5=2.5y
y=1
1 hour
Answer:
Everybody, everybody
Get out on the floor
It can get a little crazy
When the kick hits the floor
Make a scene Make a scene
Nobody can ignore
Don't knock it, til you rock it
We can't take it no more!
Bring the lights up!
Bust the doors down!
Dust yourself off,
Shake it up!
Shake it up!
DJ set it off!
Take it up a notch
All together now!
Shake it up!
Shake it up!
Step-by-step explanation:
I WILL GIVE BRAINLIEST
The first step that Juan performed to simplify the expression 3.6 + 0.4(3.8 – 5.9) – 0.5 before entering it into the calculator is shown.
4(3.8 – 5.9) – 0.5
Which statement is true?
Juan performed the first step correctly.
The first step should have been 3.6 + 0.4(–2.1) – 0.5.
The first step should have been 3.6 + 0.4(2.1) – 0.5.
The first step should have been 3.6 + 1.52 – 5.9 – 0.5.
Answer:
b I think ..................
Answer:
I am like 80% sure it is B so. :)
Step-by-step explanation:
Statements Reasons
Given: Circle X with radius r and circle
Y with radius s
Prove: Circle X is similar to circle Y.
translate X to Y
circle X - circle Y
dilate circle X by sir
Circle with center X
has radius r
circle with center Y
has radius s
Statements
Reasons
Assemble the proof by dragging tiles to
the Statements and Reasons columns.
Answer:1. Circle with center X had radius r ; Given
Circle with center Y had radius Y has radius S ; Given
Translate X to Y ; Translation is a similarity transformation
Dilate circle X by s/r ; Dilation is a similarity transformation
Circle X ~ Circle Y ; a composition of similarity transformation maps circle X to circle Y
Step-by-step explanation:
Answer:
Step-by-step explanation:
:)
What is the relationship of the angles
Answer:
alternate interior
Step-by-step explanation:
