Using an exponential function, supposing that the value decays 10% a year, it is found that the current market value is $9,087.
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem, supposing a decay of 10% a year, and the original value of $13,850, the parameters are A(0) = 13850, r = 0.1.
Hence, the value of the car in 4 years is given by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
[tex]A(4) = 13850(0.9)^4[/tex]
A(4) = 9087.
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20 easy points fast ……………………….
In this picture, m∠XOZ = 77° and m∠YOZ = 40°. If m∠XOY = (5x + 16)°, what is the value of x?
A. 20.2
B. 37
C. 4.2
D. 2.1
PLSSSS HELP!!
Step-by-step explanation:
ang xoz = ang yoz + 5x+16
77 = 44 + 5x+16
77 = 5x+60
5x= 17
x= 3.4
The roof of one building is 400 feet below the roof of another building. A person standing on the lower roof sees another person standing on the higher roof at a 35o angle of elevation. Approximately how far apart are the buildings? Round to the nearest foot.
Since the roof of one building is 400 feet below the roof of another building, the buildings are 571 ft apart.
The required triangleThe line of sight of the lower building to the taller building, the distance of the buldings apart, D and the height of the lower building below the taller building, h form a right angled triangle with angle Ф = 35° = angle of elevation of taller building and opposite side, h.
From trigonometric ratios, we have that
tanФ = h/D
So, D = h/tanФ
Since
h = 400 ft and Ф = 35°,Distance of building apartSubstituting the values of the variables into the equation, we have
D = h/tanФ
D = 400 ft/tan35°
D = 400 ft/0.7002
D = 571.27 ft
D ≅ 571 ft to the nearest foot
So, the roof of one building is 400 feet below the roof of another building, the buildings are 571 ft apart.
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How many triangles can be constructed with angles measuring 110° 50° and 10°
Pls explain in detail so I can understand
Answer
0
Step-by-step explanation:
Because 110+50+10= 170 and every triangle has 180º
What is the smallest number that, when divided by 4 and 5, will yield a remainder of 2?
Answer:
The required number is 62.
Let the required smallest number be X. We are aware that the required number is to be divided by 5, 6, 4, 3. The number leaves a remainder=2 on dividing by the aforementioned numbers.
Which of the following is most likely the next step in the series?
od
ОА
O
O B.
OC.
OD.
The circles in the figures form a series
The next step in the series is (B)
How to determine the next step?From the figure, we have the following highlights
The first circle has 2 segmentsThe second circle has 4 segmentsThe third circle has 5 segmentsUsing the above pattern, the next circle must have 6 segments
Hence, the next step in the series is (B)
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(I.5)
Write the sentence as an equation.
148 is equal to 12 minus z
Type a slash ( / ) if you want to use a division sign.
Answer:
the verbal sentence so it is easier to translate. ... 12 equals p divided by. 4 n. 2. +. 12. = p. ÷. 4. 4. Half of j minus 5 is the sum of k and 13.
Step-by-step explanation:
What is the domain of the function y=\sqrt{x}
What is the domain of the function y = StartRoot x EndRoot?
Answer: C (third choice)
Step-by-step explanation:
Square roots cannot hold negative x values as it will create an imaginary number.
Therefore the starting value of x must be starting at 0 and then moving to infinity
Answer:
c
Step-by-step explanation:
help pleaseeee this harddd
Answer:
Step-by-step explanation:
Step-by-step explanation:
#1 1.6
#2 1:2
#3 $160.00
#4 1,800
#5 $360
#6 2
#7 250
I hope I helped you
I'm sorry for late
v(x)=x^2-25
————-
2x^2+13x+15
Describe the domain in complete sentences.
Write the domain in inequality notation.
Answer:
-∞ < x < -5 ∪ -5 < x < -3/2 ∪ -3/2 < x < ∞
Step-by-step explanation:
The domain of any polynomial is "all real numbers." The domain of any rational function excludes any values of the variable that result in the denominator being 0. The function is "undefined" there.
__
[tex]v(x)=\dfrac{x^2-25}{2x^2+13x+15}=\dfrac{(x+5)(x-5)}{(x+5)(2x+3)}\qquad x\notin \{-5,-\dfrac{3}{2}\}[/tex]
The values x=-5 and x=-3/2 make the denominator of v(x) become 0, so those values are excluded from the domain of v(x). The function is "undefined" when its denominator is zero.
-∞ < x < -5 ∪ -5 < x < -3/2 ∪ -3/2 < x < ∞
_____
Additional comment
The numerator and denominator factors (x+5) cancel each other, so there is no vertical asymptote at x=-5. Rather, the function has a "hole" there, where it is undefined. The limit as the function approaches x=-5 from either direction is v(x) = 10/7.
distribute to create an equivalent expression with the fewest symbols possible 1/5(15+10k)=
Answer:
[tex]3+2k[/tex]
Step-by-step explanation:
[tex]\frac{1}{5}(15+10k)=\frac{1}{5}(15)+\frac{1}{5}(10k)=3+2k[/tex]
Answer:
3 + 2k
Step-by-step explanation:
Given that:
⅕ (15+10k)
Using the distributive property which is:
a × (b + c) = a × b + a × c
Which also means: Remove Parentheses
Thus we have:
⅕ (15+10k)
⇒ ⅕ × 15+⅕ ×10k
⇒ ¹⁵⁄₅ + ¹⁰ᵏ⁄₅
⇒ 3 + 2k
Hence, the answer to equivalent expression is 3 + 2k.
Kavinsky
What is the slope of a line perpendicular to the line whose equation is
3x – 3y = 63. Fully simplify your answer.
Answer:
3x-3y=63 = -1
Step-by-step explanation:
so the anwer is -1
im stuck, i dont know where i went wrong. Will brain list, pls help. Evaluate x³-2x²+3x-7/x-1
Answer: hii
hopefully this helps you!
Step-by-step explanation:
Simplify the expression.
- Matthew <3
Suppose that an experiment consists of flipping a coin 3 times and observing the resulting sequence of heads and tails. Find the probability of observing: exactly 3 tails.
Using the binomial distribution, it is found that there is a 0.125 = 12.5% probability of observing exactly 3 tails.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem, considering 3 tosses of a fair coin, the parameters are n = 3 and p = 0.5.
The probability of 3 tails is P(X = 3), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{3,3}.(0.5)^{3}.(0.5)^{0} = 0.125[/tex]
0.125 = 12.5% probability of observing exactly 3 tails.
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[tex]\begin{equation}\text { Question: Find the value of } \frac{1}{1+x}+\frac{2}{1+x^{2}}+\frac{2^{2}}{1+x^{4}}+\ldots \cdot \frac{2^{100}}{1+x^{200}}\end{equation}[/tex]
[tex]\bold{Heya!}[/tex]
Your answer to this is:
[tex]\sf{= \frac{1}{2} \: + \frac{2}{1 \: + \: x^2} \: + \: \frac{1}{1 \: + \: x^4} \: + \: \frac{2^1^0^0}{1 \: + \: x^2^0^0}[/tex]
→ EXPLANATION :-[tex]\sf{= \frac{1}{2} \: + \frac{2}{1 \: + \: x^2} \: + \: \frac{1}{1 \: + \: x^4} \: + \: \frac{2^1^0^0}{1 \: + \: x^2^0^0} \: (1)[/tex]
[tex]\sf{Apply \: rule:} \: (a) = a[/tex]
[tex]\sf{(1) = 1[/tex]
[tex]\sf{= \frac{1}{2} \: + \frac{2}{1 \: + \: x^2} \: + \: \frac{1}{1 \: + \: x^4} \: + \: \frac{2^1^0^0}{1 \: + \: x^2^0^0} \: ^. \: 1[/tex]
[tex]\sf{\frac{1}{1 \: + \:1} = \frac{1}{2}[/tex]
[tex]\sf{\frac{2^1^0^0}{1 \: + \: x^2^0^0} ^.^ \: 1 \: = \: \frac{2^1^0^0}{1 \: + \: x^2^0^0}[/tex]
[tex]\sf{= \frac{1}{2} \: + \frac{2}{1 \: + \: x^2} \: + \: \frac{1}{1 \: + \: x^4} \: + \: \frac{2^1^0^0}{1 \: + \: x^2^0^0}[/tex]
Hopefully This Helps ! ~
#LearnWithBrainly
[tex]\underline{Answer :}[/tex]
Jaceysan ~
There are 1,000 millimeters in 1 meter. How many millimeters are in
118 meters? Circle the letter of the correct answer.
A 0.0118 millimeter
B. 0.118 millimeter
C118,000 millimeters
D 1,780.000 millimeters
Emily chose B as the correct answer. How did she get that answer?
Emily must have thought that she needed to divide 1000 by 118 which would have given her 0.118 millimeters. But her answer is wrong because you need to multiply 1,000 millimeters by 118 meters to find how many millimeters are in 118. the correct answer would have been C: 118,000 millimeters
can some one help, Write the inequality 3x - y > -4 in slope intercept form
Answer:
[tex]y < 3x+4[/tex]
short explanation:
1) the common view of slope-interception form is:
y < slope*x+intercept or y>slope*x+intercept. Then
2) according the form above:
3x-y>-4;
y<3x+4.
PLEASE HELP PLEASE PLEASE HELP PLEASE
Answer:
False
Step-by-step explanation:
basically it's asking you whether or not you can live on earth. you can't live at the other planets because they're either too far or too close to the sun.
PLEASE HELP ILL GIVE THANKS, 5.0, AND BRAINLIEST TO WHOEVER ANSWERS CORRECTLY PLEASE HELP AND ILL GIVE A HIGH POINT COUNT
Sophie bikes at a
speed of s miles per hour. Her friend Rana is slower, her biking
speed 1S only r miles per hour.
Today the girls went for 20 miles trip, each girl was biking at her usual speed. How
long did Sophie wait for Rana after her own arrival to the finish?
Answer:
if Rama road 1 mph Sophie waited (20-4) = 16 hours
Step-by-step explanation:
Sophie road 5 mph for 20 miles
distance = rate of speed times time traveled
d = st
20 =5t
t = 20/5 = 4 hours
Rana road r mph for 20 mile
d=rt
20=rt
t =20/r
Sophie waited 20/r - 4 hours
20/r -4 = (20-4r)/r
if Rana road at 4 mph, Sophie waited (20-4(4))/r = 4/4 = 1 hour
If Rana road at 3 mph, Sophie waited (20-4(3))/3 = 8/3 = 2 hours 40 minutes
if Rama road at 2 mph Sophie waited (20-4(2))/2 = 12/2 = 6 hours
if Rama road 1 mph Sophie waited (20-4) = 16 hours
The rectangle on the right is a scaled copy of the rectangle on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form.
Answer:
scale factor is 3/2
Step-by-step explanation:
to find scale factor, new image divided by original image.
Make sure you rotate the image on the right so it matches the image on the left. 3 corresponds to 9/2 and 5 corresponds to 15/2.
[tex]\frac{9}{2}[/tex] ÷ [tex]\frac{3}{1} \\[/tex]
[tex]\frac{9}{2}[/tex] × [tex]\frac{1}{3}[/tex]
[tex]\frac{9}{6}[/tex]
reduce
[tex]\frac{3}{2}[/tex]
HELP
Which speed is equivalent to 1/2 mile per hour?
A truck carries a load of 50 boxes;some are 20kg boxes and the rest are 25kg boxes. if the total weight of all boxes is 1175 kg, how many of each type are there?
total number of boxes= 50
weight of all the boxes= 1175
some boxes= 25kg
and the rest= 20kg
to find:how many of each type are there.
solution:Let the number of the 20kg boxes = x
and the number of the 25kg boxes = (50-x)
so,
20×(x) + 25×(50-x)
= 1175
20x + 1250 - 25x
= 1175
- 5x = - 75 => x = (-75)/(-5)
= 15
(50–15)
= 35
therefore, 20 kg boxes are 15 and 25 kg boxes are 35.
plsss help ill give briliantest
Answer:
The answer is 310
Step-by-step explanation:
Example of distributive property of division
The 1,860 is broken down into 1800 & 60
1800 divided by 6 + 60 divided by 6
1800 divided by 6 = 300 + 60 divided by 6 = 10
300 + 10 = 310
Bry blew 91 bubbles. Ken blew 7 bubbles.
Answer:
i need the rest of the question
Step-by-step explanation:
help, Surface area of cubes and prisms
Answer:
2382
Step-by-step explanation:
You can use rectangle surface area= l × b
2×(27×21)+2×(27×13)+2×(21×13)
=2382
HELP PLS
WORTH 1 POINT
GIVING 10
WHAT DID I DO WRONG?
supplementary angles form a straight line (together 180°) and the ones that you indicated didn't.
Solve the problem with more than one answer
13-7+8=
Answer:
14
-83
-43
these anwrers when you make it with different ways.
You nees to get more than one answer with this problem I guess.
13-7+8 = 14
13(-7) + 8 = -83
13-7(+8) = -43If this not what you asked please delete my answer, if not kindly give me brainliest if you like.
Answer:
THERE IS NO OTHER ANSWER THAN 14
Step-by-step explanation:
Only 1 answer can be found by doing this problem in any order:
If we do 13-7 first:
(13-7)+8=
6+8=
14
So 1 answer is 14
If we do -7+8 first:
13+(-7+8) =
13+1=
14
So either way you do it you get the same answer. This is why it doesn't matter whether you do addittion or subtraction first before the other.
THERE IS NO OTHER ANSWER THAN 14
What is the value of 7 – 18(-2 1/3+ 2/3)
Answer:
The answer is 37.
Step-by-step explanation:
First of all we use Pemdas. Add the parantheses first. So its 7-18(-5/3) then you multiple the -18 to 5/3 Because after Parantheses its Exponents multiplication. So it becomes 30. Then you add 7 to get 37. I hope this is helpful.
Pls write me fast what’s the answer 8(1 - 6p) - 2(6p + 7)
Answer:
-60p -6
Step-by-step explanation:
8(1 - 6p) - 2(6p + 7)
Distribute
8 - 48p -12p -14
Combine like terms
-60p -6
Find the equation of the line joining the points (4, 9) and (-1, 0)
The equation of the line joining the points (4, 9) and (-1, 0) is y = 9/5 x + 9/5
How to find the equation of a line?The formula for calculating the equation of a line is expressed as:
y = mx + b
m is the slope
b is the intercept
Determine the slope:
Slope = 0-9/-1-4
Slope = -9/-5
Slope = 9/5
Determine the y-intecept
0 = 9/5(-1) + b
b = 9/5
Hence the equation of the line is y = 9/5 x + 9/5
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