Answer:
Step-by-step explanation:
Use the equation
[tex]A(t)=P(1-r)^t[/tex] because the account is depreciating at a rate of 4%. Filling in:
[tex]A(t)=75000(1-.04)^t[/tex] to get our model.
[tex]A(t)=75000(.96)^t[/tex] Now we fill in 10 for t and solve:
[tex]A(t)=75000(.96)^{10}[/tex] so
A(t) = $49,862.45 in ten years
Explain why multiplying a fraction by 5/6 results in a value that is less than the original fraction
Answer:
Step-by-step explanation:
(5/6) itself is less than 1 (but greater than 0). Thus, anything multiplied by (5/6) will result in a smaller-by-magnitude quantity.
For example, (5/6)(3/4) is LESS than 3/4 because 5/6 is greater than zero but less than 1.
The fraction 5/6 is less than one anything multiplied to this number will be less than 1.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the fraction is 5/6.
5/6 is less than 1 on its own (but greater than 0). Anything multiplied by (5/6) will provide a magnitude-less result. Because 5/6 is more than 0 but less than 1, it can be shown that (5/6)(3/4) is less than 3/4.
Therefore, the fraction 5/6 is less than one anything multiplied to this number will be less than 1.
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Which of the following is equivalent to
11/18?
A. 0.61
O B. 0.61
C. 0.61
D. 0.611
I will give BRAINLIEST to the correct answer
Answer:
<PCH+<HCK=180-DEGREE BEING IN A STRAIGHT LINE.
3M+58+8M+155=180
11M=180-213
11M=-33
M=-3
SO,
<PCH
3M+58
=3*(-3)+58
=58-9
=49-DEGREE
rewrite Y=4-3x+x squared
in standard form and correctly
Answer:
Step-by-step explanation:
y = 4 - 3x + x^2 is to be rewritten in standard form. To do this, rearrange the terms in order of powers of x, from highest to lowest.
y = 4 - 3x + x^2 becomes y = x^2 - 3x + 4
8. On what day did Alfonso run faster? Day Distance (m) Time (min) Monday 1,020 6 Wednesday 1,554 9 a. Wednesday b. Monday
Can someone pls help me with this?!
Answer:
1188
Step-by-step explanation:
33 X 36 = 1188
TO FIND AREA: Height x width= area
Height is 33 Width is 36
40 is just a distraction! :)
Plsss help!!!
y = ??
X =???
Answer:
x=80* y=20* and X=100*
Step-by-step explanation:
If we assume PQ || OR then by alternate interior angles x is equal to 80 degrees and y is equal to 20 degrees.
We know that a triangle adds up to 180 degrees.
Angle ROX and XRO add up to 100 degrees. Leaving RXO equal to 80 degrees. (180-100=80).
By opposite angles, QXP is equal to 80 degrees also.
Then we are left with solving for X.
Supplementary angles add up to 180 degrees.
Subtract angle OXR from 180 and we are left with angle OXP = X = 100 degrees.
Simplify: 2⁶X5⁴X3¹²/2²x5²x3⁴
Step-by-step explanation:
2⁶X5⁴X3¹²/2²x5²x3⁴
2⁴ × 5²×3⁸
Answer:
Step-by-step explanation:
[tex]\frac{2^{6}*5^{4}*3^{12}}{2^{2}*5^{2}*3^{4}}=2^{6-2}*5^{4-2}*3^{12-4}\\\\\\=2^{4}*5^{2}*3^{8}[/tex]
[tex]\frac{a^{m}}{a^{n}}=a^{m-n}, m>n[/tex]
In exponent division, if both numbers have same base, subtract the exponents.
Another Easy One, Brainliest + 40 points
-2
Answer:
Solution given:
|-3| -|5|=3-5=-2
since modules gives a value of any number alwats positive
Answer:
-2
Step-by-step explanation:
Absolute value means take the non-negative value
|-3| = 3
|5| =5
|-3| -|5| = 3 -5 = -2
Which number is larger
Answer:
9
Step-by-step explanation:
When there are any negatives they will always be less then a positive.
-10,-9-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9,10
The larger the negative the less it is since its so far away from the middle (0)
-Greatest to least
-8,-5,3,9
Which value of a in the exponential function below would cause the function to stretch? (one-third) Superscript x
Answer:
1.5
Step-by-step explanation:
Given
[tex]f(x) = \frac{1}{3}^x[/tex]
[tex]Options: 0.3\ 0.9\ 1.0\ 1.5[/tex]
Required
What value cause a stretch
For the function to stretch, then the scale factor must be greater than 1.
From the list of options.
Only 1.5 is greater than 1 i.e. [tex]1.5 > 1[/tex]
Hence, 1.5 will cause a stretch.
Answer:
ITS D. 1.5
Step-by-step explanation:
Which point lies on both y=5x−3 and y=−4x+6 ?
(4, 14)
(3, 1)
(3, 10)
(2, 6)
(1, 2)
3f x 4f⁴
……………………………….
Step-by-step explanation:
3f×4f^412f^5hope it helps
stay safe healthy and happy.....Answer:
12f^5
Step-by-step explanation:
3f x 4f⁴
=3x4xf^(4+1)
=12xf^(5)
=12f^5
Sara works in a sports store and earns 12% commission on her sales how much does she make on a bicycle that sold for $785.95
Answer:
$94.314
Step-by-step explanation:
Given data
Commission = 12%
Sale= $785.95
Let us find 12% of $785.95
=12/100* 785.95
=0.12* 785.95
=$94.314
Hence she earns $94.314
you buy 60 of your favorite songs from a web site that charges $0.98 for each song. what is the cost of 60 songs ? use mental math
Answer:
$58.8
Step-by-step explanation:
You will take 60 which is the the amount of songs you bought then multiply it by .98. This will then give you 58.8
(20 points)
Question from Similarity
Answer:
45 is the anwser
Step-by-step explanation:
thank you
PLEASE HELP ITS DUE TODAY THANKS!
Answer:
105.12
Step-by-step explanation:
Find the area of the rectangle (8 x 10 = 80)
Find the area of the whole circle (3.14 x 4^2 = 50.24)
Divide the area of the circle by 2 since it is a semi circle (50.24 / 2 = 25.12)
Add the area of the two (25.12 + 80 = 105.12)
A small airplane takes off from point A and continues to climb upward in a straight line, as shown in the diagram. What is the plane’s distance from point A when it reaches point C?
A. 6,900 feet
B. 7,000 feet
C. 11,636 feet
D. 12,600 feet
E. 13,400 feet
============================================================
Explanation:
We have two similar triangles here, so we can set up the proportion below to solve for x
5200/(5200+6500) = 5600/x
5200/11700 = 5600/x
5200x = 11700*5600 .... cross multiply
5200x = 65,520,000
x = (65,520,000)/(5200)
x = 12,600 which shows why the answer is choice D
side note: 12,600 ft = 2.386 miles approximately
The plane’s distance from point A when it reaches point C is 12600 feet.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
From the figure,
The two triangles are similar.
This means,
The ratio of its corresponding sides is equal.
So,
(5200 + 6500) / 5200 = (5600 + BC) / 5600
Solve for BC.
(5200 + 6500) / 5200 = (5600 + BC) / 5600
(11700 / 5200) x 5600 = 5600 + BC
117/52 x 5600 = 5600 + BC
BC = 12600 - 5600
BC = 7000
Now,
The plane’s distance from point A when it reaches point C.
= AB + BC
= 5600 + 7000
= 12600 feet
Thus,
The plane’s distance from point A when it reaches point C is 12600 feet.
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3y+x=5, x-3y=12, y=3x-2, 6y-2x=7 which two of these are parallel??
Answer:
2nd and 4th are parallel
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3y + x = 5 ( subtract x from both sides )
3y = - x + 5 ( divide terms by 3 )
y = - [tex]\frac{1}{3}[/tex] x + [tex]\frac{5}{3}[/tex] ← in slope- intercept form
with slope m = - [tex]\frac{1}{3}[/tex]
-------------------------------------------------------
x - 3y = 12 ( subtract x from both sides )
- 3y = - x + 12 ( divide terms by - 3 )
y = [tex]\frac{1}{3}[/tex] x - 4 ← in slope- intercept form
with slope m = [tex]\frac{1}{3}[/tex]
-------------------------------------------------------
y = 3x - 2 ← in slope- intercept form
with slope m = 3
---------------------------------------------------------
6y - 2x = 7 ( add 2x to both sides )
6y = 2x + 7 ( divide terms by 6 )
y = [tex]\frac{1}{3}[/tex] x + [tex]\frac{7}{6}[/tex] ← in slope- intercept form
with slope m = [tex]\frac{1}{3}[/tex]
--------------------------------------------------------
Parallel lines have equal slopes.
The 2nd and 4th have equal slopes and are parallel
i don’t know what the anwsered would be i don’t understand this module
Answer:25,000(0.15)^x
Step-by-step explanation:
I think this is the answer because there are 25,000 gray wolf in the world and they are expected to grow by 15%. 15% is .15. So those two numbers multiplied, to the x exponent should give you the answer of how large the wolf population is expected to be.
differentiate the following by using "limit"
[tex] \displaystyle \frac{d}{dx} \sqrt{x} [/tex]
Answer:
[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \frac{ 1 }{ 2\sqrt{x } } [/tex]
Step-by-step explanation:
we want to differentiate the following by using limit:
[tex] \displaystyle \frac{d}{dx} \sqrt{x} [/tex]
derivative definition by limit given by
[tex] \rm \displaystyle \frac{d}{dx} = \lim _{\Delta x \to 0} \left( \frac{f(x + \Delta x) - f(x)}{ \Delta x} \right) [/tex]
given that,
f(x)=√x
so,
f(x+∆x)=√(x+∆x)
thus substitute:
[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \lim _{\Delta x \to 0} \left( \frac{ \sqrt{x + \Delta x}- \sqrt{x} }{ \Delta x} \right) [/tex]
multiply both the numerator and denominator by the conjugate of the numerator:
[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \lim _{\Delta x \to 0} \left( \frac{ \sqrt{x + \Delta x}- \sqrt{x} }{ \Delta x} \times \frac{ \sqrt{x + \Delta x} + \sqrt{x} }{\sqrt{x + \Delta x} + \sqrt{x}} \right) [/tex]
simplify which yields:
[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \lim _{\Delta x \to 0} \left( \frac{ (\sqrt{x + \Delta x}) ^{2} - x }{ \Delta x(\sqrt{x + \Delta x} + \sqrt{x})} \right) [/tex]
simplify square:
[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \lim _{ \Delta x \to 0} \left( \frac{ x + \Delta x - x }{ \Delta x(\sqrt{x + \Delta x} + \sqrt{x})} \right) [/tex]
collect like terms:
[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \lim _{\Delta x \to 0} \left( \frac{ \Delta x }{ \Delta x(\sqrt{x + \Delta x} + \sqrt{x})} \right) [/tex]
reduce fraction:
[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \lim _{\Delta x \to 0} \left( \frac{ 1 }{ (\sqrt{x + \Delta x} + \sqrt{x})} \right) [/tex]
get rid of ∆x as we are approaching its to 0
[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \frac{ 1 }{ \sqrt{x } + \sqrt{x}} [/tex]
simplify addition:
[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \frac{ 1 }{ 2\sqrt{x } } [/tex]
and we are done!
e) In a survey of a group of people, it was found that 80 people liked to drink tea, 55 liked coffee, 25 liked both and 30 people did not like both tea and coffee. (i) Illustrate the above information in a Venn-diagram (ii) How many people were surveyed? (iii) How many people liked tea only? (iv) How many people liked coffee only? with full process
Answer:
the answer is given on the picture
The number of people like only coffee is 30 and the number of people like only tea is 55.
What is the Venn diagram?A Venn diagram is a diagram that helps us visualize the logical relationship between sets and their elements and helps us solve examples based on these sets. A Venn diagram typically uses intersecting and non-intersecting circles (although other closed figures like squares may be used) to denote the relationship between sets.
Let T=tea and C=coffee
n(T)=80
n(C)=55
n(T∩C)=25
People did not like both tea and coffee=30
ii) Number of people surveyed
n(T∪C)=n(T)+n(C)-n(T∩C)
= 80+55-25
= 110
Then,
n(∪)=n(TUC)+People did not like both tea and coffee
= 110+30
= 140
iii) Number of people like only Tea
=n(T)-n(T∩C)
=80-25
=55
iv) Number of people like only coffee
=n(C)-n(T∩C)
= 55-25
= 30
Therefore, the number of people like only coffee is 30 and the number of people like only tea is 55.
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The probability the Sam sleeps for less than 6 hours is 0.25 work out the probability that Sam sleeps for 6 hours or more
Step-by-step explanation:
h na jwhwwhwhwhwhwhwhwhwjjwjwjwjje i don't know thrle answer
PLEASE PLEASE PLEASE HELP/// NO LINKS OR RANDOM ANSWERS, REALLY IMPORTANT :(
Answer:
side a = 17.58722
angle a = 41.96 degrees
angle b = 47.04 degrees
Step-by-step explanation:
Obtuse Scalene Triangle
Side a = 19.25
Side b = 17.58722
Side c = 26.3
Angle ∠A = 47.04° = 47°2'23" = 0.821 rad
Angle ∠B = 41.96° = 41°57'37" = 0.73234 rad
Angle ∠C = 91° = 1.58825 rad
C=91°B=41.96°A=47.04°b=17.587a=19.25c=26.3
Area = 169.25122
Perimeter p = 63.13722
Semiperimeter s = 31.56861
Height ha = 17.58454
Height hb = 19.24707
Height hc = 12.87082
Median ma = 20.19553
Median mb = 21.30255
Median mc = 12.92339
Inradius r = 5.36138
Circumradius R = 13.152
Vertex coordinates: A[0, 0] B[26.3, 0] C[11.98551, 12.87082]
Centroid: [12.76184, 4.29027]
Inscribed Circle Center: [12.31861, 5.36138]
Circumscribed Circle Center: [13.15, 0.22953]
Which answer is the correct answer above?
The table represents the cost of flowers at the Tigerlily Flower Shop.
Answer:
The given table is
Quantity(x) Price(y)
1 2.00
2 3.50
3 5.00
4 6.50
5 8.00
6 9.00
It means the points on the graph are (1,2), (2,3.50), (3,5), (4,6.50), (5,8) and (6,9).
The graph 1 represents all the above mentioned point, therefore option 1 is correct.
According to the graph 2, at quantity 6 the price of flower is 12, which is not correct. Therefore option 2 is incorrect.
The quantity of flower is always a whole number. So the graph is defined on the whole numbers only. It means the graph is a scatter plot instead of a curve of a straight line.
Therefore the option 3 and 4 are incorrect.
Step-by-step explanation:
The general term of a sequence if Tn = 2n, what will be its 50th term?
Answer:
100
Step-by-step explanation:
Given:
Tn = 2n
Where,
n = nth term
what will be its 50th term?
Tn = 2n
T(50) = 2(50)
= 100
T(50) = 100
Therefore,
The 50th term = 100
Solve for x.
Solve for x!
Answer:
x=70
Step-by-step explanation:
All the angles in a triangle have to add up to 180. 40 degrees is already taken up so there is 140 degrees left. There are 2 remaining angles, so 140/2=70. x=70.
Hope this helps!
Answer:
70
Step-by-step explanation:
all the angles add up to 180
180= 40 +x +x
180-40=2x
140=2x
140/2=x
x=70
The question in the photo
Pls help
I went on Doyourmath, and it helps me if the image didn't help then I am sorry, but I am truly hoping I answered your question.
Which statement correctly describes the graph of g(x) = f(x - 9) ? x = 6 A. Function ghas the same horizontal and vertical asymptotes as function f. OB. Function g has the same horizontal asymptote as fand a vertical asymptote at . OC. Function g has the same horizontal asymptote as fand a horizontal asymptote at x = 9. D. Function ghas the same vertical asymptote as fand a horizontal asymptote at y = - 5 .
Answer:
-5
Step-by-step explanation:
The correct statement describing the graph is ''Function has the same horizontal asymptote as fand a vertical asymptote at x = 6''.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here,
We have to determine:
Which statement correctly describes the graph of g(x) = f(x - 9)?
According to the question
Graph; g(x) = f(x - 9)
here, we have,
The straight-line x=6 is a vertical asymptote of the graph of the function g(x) = f(x - 9) if at least one of these conditions is true:
we have,
A vertical asymptote occurs in rational functions at the points when the denominator is zero and the numerator is not equal to zero.
we know,
Vertical asymptotes are the vertical lines corresponding to the zeroes of the denominator of the rational number, to calculate the vertical asymptotes simply put the denominator of the rational number to zero, and solve for x, this is the required vertical asymptotes, if the denominator of the rational number is a quadratic, cubic types equations or any other polynomial then simplify put the whole equation to zero and simplify used any method for x, this is the required vertical asymptotes.
Hence, Function has the same horizontal asymptote as fand a vertical asymptote at x = 6.
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