Answer:
a) The car will be worth $8000 after 2.9 years.
b) The car will be worth $6000 after 4.2 years.
c) The car will be worth $1000 after 12.7 years.
Step-by-step explanation:
The value of the car after t years is given by:
[tex]V(t) = 14651(0.81)^{t}[/tex]
According to the model, when will the car be worth V(t)?
We have to find t for the given value of V(t). So
[tex]V(t) = 14651(0.81)^{t}[/tex]
[tex](0.81)^t = \frac{V(t)}{14651}[/tex]
[tex]\log{(0.81)^{t}} = \log{(\frac{V(t)}{14651})}[/tex]
[tex]t\log{(0.81)} = \log{(\frac{V(t)}{14651})}[/tex]
[tex]t = \frac{\log{(\frac{V(t)}{14651})}}{\log{0.81}}[/tex]
(a) $8000
V(t) = 8000
[tex]t = \frac{\log{(\frac{8000}{14651})}}{\log{0.81}} = 2.9[/tex]
The car will be worth $8000 after 2.9 years.
(b) $6000
V(t) = 6000
[tex]t = \frac{\log{(\frac{6000}{14651})}}{\log{0.81}} = 4.2[/tex]
The car will be worth $6000 after 4.2 years.
(c) $1000
V(t) = 1000
[tex]t = \frac{\log{(\frac{1000}{14651})}}{\log{0.81}} = 12.7[/tex]
The car will be worth $1000 after 12.7 years.
The scale of a map says that 6 cm represents 15 km.
What distance on the map represents an actual distance of 6 kilometers?
a) 0 3.6
b) 2.5
c) 0 2.4
d) 0.42
Answer:
Scale distance on map representation = 2.4 cm
Step-by-step explanation:
Given:
Scale factor [6 cm - 15 Km]
Actual distance = 6 km
Find:
Scale distance on map representation
Computation:
Scale distance on map representation = Actual distance[6cm / 15km]
Scale distance on map representation = 6km [6cm / 15km]
Scale distance on map representation = 36 / 15
Scale distance on map representation = 2.4 cm
How much is 1/3 cup of butter equivalent measurement?
Answer: equal 5 tablespoons plus 1 teaspoon butter.
Step-by-step explanation:
Answer:
1/3 cup would equal 5 tablespoons plus 1 teaspoon butter
Step-by-step explanation:
i Hope this was the answer you was looking for. If not just go to one of my questions and take the points that you need to gain back!!!
Which lines have a y-intercept at (0,4)?
Choose all answers that apply:
А
y=-3x +4
B
y = 4x + 7
y = 5 + 4x
y = 4-2
KHAN ACADEMY
Answer:
y=-3x+4
Step-by-step explanation:
Using the formula y=mx+b
mx= slope b= y-intercept
hence,
y=-3x+4 has a y-intercept of (0,4)
Answer:
A y=3x +4
Step-by-step explanation:
since when x=0 then y will be at +4
Y=3(0)+
Plz help me!. Well mark brainliest if correct!
Answer:
Point W
Step-by-step explanation:
(2, 4) after a reflection over the x-axis?
2 1/3 x 4 4/5as a fraction
Answer:
11 1/5
Step-by-step explanation:
2 1/3 × 4 4/5
=7/3 × 24/5
=56/5
=11 1/5
1. Select all the letters below that have a line of symmetry?
A. M
B. V
C. L
D. G
E. D
Answer:
A,M,V
Step-by-step explanation:
Cos Y=?
5/13
5/12
12/13
Answer:
Cos Y = 12/13
Step-by-step explanation:
Recall, SOHCAHTOA.
Cos Y = Adjacent/Hypotenuse
Reference angle = Y
Adjacent = 12
Hypotenuse = 13
Therefore:
Cos Y = 12/13
A Ferris wheel has a radius
of 72 feet. What is the
distance a passenger will
travel one time around the
Ferris wheel?
Answer:
144
Step-by-step explanation:
radius is half of a diameter so that means you need to multiply 72 times 2
Help please include explanation screenshot attached and brainliest to correct answer
Answer:
x>-8 (Or option D)
Step-by-step explanation:
-2x+7<23 Subtract 7 from both sides
-2x<16 Now divide by -2. You also have to flip the < sign because you are dividing by a negative number
x>-8
The reasoning for D over C is because D is an open circle meaning that it is only less than or greater than. When it is a closed circle, it means less than or equal to or greater than or equal to. :)
The average score of all golfers for a particular course has a mean of 64 and a standard deviation of 3.5 suppose 49 golfers played the course today find the average score of the 49 golfers exceeded 65 round to four decimal places
Answer:
0.3897
Step-by-step explanation: i g o o g l e it
125 a la octava potencia?
please lo necesito
A box of cherries weighs 2 1/4 pounds.
If you bought 5 boxes, what is the total
weight of the purchased cherries?
Answer:
The total weight of the purchased cherries is [tex]11\frac{1}{4}[/tex] pounds.
Step-by-step explanation:
Multiply [tex]2\frac{1}{4}[/tex] by 5.
[tex]2\frac{1}{4} * 5 = 11 \frac{1}{4}[/tex]
Answer:
11.25 or 45/4
Step-by-step explanation:
2 1/4 times 5
Point Q was rotated about the origin (0,0) by -165
Answer:D
Did it on khan academy
In a bag are 3 red, 9 blue, 2 yellow and 3 green marbles. If you draw out a marble at random, what the probability that you will draw a blue marble? P(blue)
Question 2 options:
3/17
9/17
2/17
14/17
Answer:
9/17
Step-by-step explanation:
there are 17 marbles in total 9 of them are blue therefore, 9/17 is the correct answer
A fashion designer wants to know how many new dresses women buy each year. A sample of 208 women was taken to study their purchasing habits. Construct the 85% confidence interval for the mean number of dresses purchased each year if the sample mean was found to be 6.2. Assume that the population standard deviation is 1.1.
Answer:
The 85% confidence interval for the mean number of dresses purchased each year is (6.1, 6.3).
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.85}{2} = 0.075[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.075 = 0.925[/tex], so Z = 1.44.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.44\frac{1.1}{\sqrt{208}} = 0.1[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 6.2 - 0.1 = 6.1
The upper end of the interval is the sample mean added to M. So it is 6.2 + 0.1 = 6.3
The 85% confidence interval for the mean number of dresses purchased each year is (6.1, 6.3).
Vertices A (-1,1) and Vertices B (-4,1) of Square ABCD are shown below. What is the perimeter?
Hint: find the Vertices C and D first, then find the perimeter. A square is the same length all around!
Answer:
12
Step-by-step explanation:
Distance from (-4,1)to (-1,1) =|-4|-|-1|=3
Side of square =3
Since each side of square is equal.
3x4=12
If vertices A (-1,1) and vertices B (-4,1) of Square ABCD then perimeter of the square ABCD is 12 units.
What is Distance?The length along a line or line segment between two points on the line or line segment.
The distance between A and B is 3 units, so the distance between B and C must also be 3 units since the square has equal sides.
The coordinates of C are (-4, -2) since it is directly below B.
The distance between C and D is 5 units since it is a horizontal line between the x-coordinates of C and D.
The coordinates of D are (-1, -2) since it is directly to the right of C.
Now we have the coordinates of all four vertices
A (-1,1), B (-4,1), C (-4,-2), and D (-1,-2).
To find the perimeter, we add up the lengths of all four sides:
AB = BC = CD = AD
= √[(xB - xA)² + (yB - yA)²]
= √[(-4 - (-1))² + (1 - 1)²]
= 3
So the perimeter is P = AB + BC + CD + AD
= 3 + 3 + 5 + 3
= 14
Therefore, the perimeter of the square ABCD is 12 units.
To learn more on Distance click:
https://brainly.com/question/15172156
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The length of a rectangle is 3 times the width, w. Which expressions represent the perimeter of the rectangle?
A - 4w
B - 7w
C - 8w
D - 5w + 2w
E - 2(3w + w)
F - 2(3w) + 2w
Answer:
c,e,f,
Step-by-step explanation:
The answer for this question is C, E and F .
Given that the length is 3 times the width. So firstly, you have to find the expression of length :
Let width = w,
Next, the perimeter of rectangle is P = 2(length+width) so you have to substitute the expression into the formula :
Let length = 3w
Let width = w,
have a good day /night
may i please have a branllist
75069 / 45 with work (no calculator)
Show work please!
Answer:
1668.2
Step-by-step explanation:
Pls help me on this question??
Answer and Step-by-step explanation:
The answer is A. 0.
This is because the greatest sum of numbers can only be up to 12. (6 + 6 = 12)
No numbers, when added together from the given 2 6-sided dices, will result in 15 as the answer.
#teamtrees #PAW (Plant And Water)
Ramadan Mubarak
sin 0
4. Find tan0 .
A.
B.
C.
D.
Answer:
A
Step-by-step explanation:
Answer:
D. 9/40 would be the answer.
Step-by-step explanation:
formula
sinQ= opp/hyp (9/41)
TanQ= opp/adj (which mean 9 /40)
How many solutions does y=3x+1 and y=x+1 have?
46764need photo ryyiouttgg
17% adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomly selected. Find the probability that the number of U.S. adults who
favor the use of unmanned drones by police agencies is (a) exactly three, (b) at least four, (c) less than eight
(a) P(3)=(Round to three decimal places as needed)
(b) P(x24) =(Round to three decimal places as needed.)
(c) P(x<8)=(Round to three decimal places as needed.)
Answer:
Following are the solution to these question:
Step-by-step explanation:
Following are the binomial distribution with parameters:
[tex]n = 12\\\\p = 0.24[/tex]
For point a:
[tex]\to P(X = 3) = binom.dist(3, 12, 0.24, False) = 0.2573[/tex]
For point b:
[tex]\to P(X > 4) = 1 - P(X < 3) = 1 - binom.dist(3, 12, 0.24, True) = 0.3205[/tex]
For point c:
[tex]\to P(<8) = binom.dist(7, 12, 0.24, True) = 0.9979[/tex]
A fudge recipe calls for 1/2 cup of cocoa if only 1/2 of the recipe is made how much cocoa should be used
Answer:
1/4
Step-by-step explanation:
Answer:
1/4 cup
Step-by-step explanation:
find the angle measure given extended triangles
help pls
Answer:
x=74
Step-by-step explanation:
Solve big triangle first 33+45= 78
78+28= 106
Using any method, find the area of the regular hexagon shown below. Show all work! Your final answer should be exact.
Answer:
864√3
Step-by-step explanation:
(3√3·24²)/2
1728√3/2
864√3
1496.49189773
9514 1404 393
Answer:
864√3 in²
Step-by-step explanation:
We presume "any method" includes the use of on-line calculators. Unfortunately, this one does not provide the exact answer in reduced form.
A = (3/2)√3(24 in)² = 3/2×576×√3 in²
A = 864√3 in²
NEED HELP FOR HOMEWORK: Quadrilateral FGHJ was dilated with the origin as the center of dilation to create quadrilateral F' G′ H′ J′.
Which rule best represents the dilation that was applied to quadrilateral FGHJ to create quadrilateral F' G′ H′ J′?
A. (x, y) à (x - 2, y + 1)
B. (x, y) à (1.4x , 1.4y)
C. (x, y) à (x + 1, y + 2)
D. (x, y) à (5/7x, 5/7y)
Answer:
B
Step-by-step explanation:
Without even trying to figure out the solution you can tell it is b, because adding and subtracting to the x's and y's results in a translation. D is wrong because it would result in a smaller figure, so it is B
Two people share proceeds of a business venture in the ratio 2:3 If the proceeds came to GHS 2,350,000 how much does each get?
Answer:
GHS 940,000 and GHS 1,410,000
Step-by-step explanation:
Total Ratio, thus 2+3 = 5 = 2,350,000
2/5 × 2,350,000 = 940,000
3/5 × 2,350,000 = 1,410,000
In conclusion, the money was shared at GHS 940,000 and GHS 1,410,000 among the two.
Find the degree of this polynomial. –s5 − 4s3 + 4s2 + 5s
Answer:
Can you picture the question?
S) A $4.00 sales tax is charged for a $50.00 purchase. At this rate, what is the sales tax for a $1200.00
purchase?
Please help me :) I’m down bad
Answer:
$96
Step-by-step explanation:
4/50=.08 which is sales tax rate
1200X.08=$96 sales tax