Hey there!
A car is purchased for $23,000 . Each year it loses 30% of its value. After how many years will the car be worth $6700 or less? (Use the calculator provided if necessary.) Write the smallest possible whole number answer.
Set up the depreciation equation D(t) where t is the number of years in the life of the car:
D(t) = 23,000/(1.3)^t
The problem asks for D(t)<=6800
23,000/(1.3)^t = 6800
Cross multiply:
7300(1.3)^t = 24,000
Divide each side by 6800
1.3^t = 23000/6800
1.3^t = 3.38
Take the natural log of both sides:
LN(1.3^t) = LN(3.38)
Using the natural log identities, we have:
t * LN(1.3) = 1.22
t * 0.2624 = 1.22
Divide each side by 0.2624
t = 4.6494
Rounding this up, we have t = 5
Answer:
it would be 7647
close enough though
Step-by-step explanation:
Write1 3/4 as a decimal and as a percent
Answer:
the decimal is 1.75 and The percentage is 175%
Step-by-step explanation:
The number 100 can be written as the sum of a 1-digit prime number and a 2-digit prime number. What is the product of these prime numbers?
Answer:
Answer: 3 + 97
Step-by-step explanation:
Just off the top of my head, I'm pretty sure that the answer you want is 3 and 97.
The single digit primes are 2 3 5 7
2 + 98 is what you are forced to use. 98 is not prime
3 + 97 is the answer I gave.
5 and 95 Ninety five is not prime (5 divides into it).
7 and 93 but 93 is not prime. 3 will divide into it.
n expression is shown below. -x + 1 + 4x - 3
Answer:
3x - 2
Step-by-step explanation:
Collect like timers. -x + 4x = 3x and -3 + 1 = -2, 3x - 2
Hey there!
-x + 1 + 4x - 3
= -1x + 1 + 4x - 3
COMBINE the LIKE TERMS
= (-1x + 4x) + (1 - 3)
= -1x + 4x + 1 - 3
= 3x - 2
Therefore, your answer is: 3x - 2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Please help asap i will give brainlist!!!!
Answer:
The answer is D
Step-by-step explanation:
This is because 5π is equal to 15.7
If f(x) = x2 – 2, then which of the following is the value of f(3)
(1) -11
(3) -8
(2) 7
(4) 4
Answer: 7
Step-by-step explanation:
This means we substitute x=3 into f(x).
f(3) = 3^2 - 2 = 7.
Altitude is the height in relation to sea level. Umar walks from a valley to a hilltop. The valley has an altitude of -32 1/2 feet. The hilltop has an altitude of 85 3/4 feet. What is the altitude change from the valley to the hilltop?
Answer:
118.25
Step-by-step explanation:
Find the domain for the rational function f(x)=x+4/3x-5
Answer:
all real numbers
Step-by-step explanation:
the domain for normal linear and quadratic equations is always all real numbers
The rectangular model is made up of squares. Each square is of equal size. What percentage of the model is shaded?
Answer:
44.5 percent is shaded.
from whole model, 44.5% is shaded of 100%
1 yards equals 3 feet in one mile equals 5280 feet how many yards are in 5 MI
Answer:
A conversion calculator gave me 8800
in a school of 330 students, 85 of them are in a drama club, 200 of them are in a sports team and 60 of them do both
find the probability that the student isn't in a sports or drama club
Answer:
105/330 = 21/66 = 7/22
7/22 is the answer I think
Step-by-step explanation:
n(U) = 330
n(A) = 85
n(B) = 200
n(A n B) = 60
Now,
n(A U B) = n(A) + n(B) - n(A n B)
or, n(A U B) = 85 + 200 - 60
or, n(A U B) = 285 - 60 = 225
Now,
n(A U B) compliment = n(U) - n(A U B)
n(A U B) compliment = 330 - 225
so, n(A U B) compliment = 105
Now,
probability = 105/330
Select all the numbers that round to 5.6
when rounded to the nearest tenth.
A. 5.058
B. 5.54
C. 5.56
D. 5.58
E. 5.590
Answer:
C, D, and E are the answers.
Can someone please help me I I’ll give u brainest
Answer:
b. translation, rotation
Step-by-step explanation:
When a shape is translated, that just means nothing about it has changed except it's location on the coordinate plane. This is that happened with shape 1 - it was translated, and that created shape 2.
When a shape is rotated, that just means it is turned (or rotated) at a specific point. This is what happened to shape 2 that changed it to shape 3.
The other two transformations that aren't shown in this specific example are dilation, which means that the shape either shrinks or grows, and reflection, which means that the shape is reflected across the y-axis or the x-axis.
I included a picture with all four transformation examples in it. I hope this helps! Have a lovely day!! :)
I’ll give brainiest to the best solved An ice cream store sells two different sizes of ice cream cones. The first cone is 4 inches tall and has a 1-inch radius. The second cone is 6 inches tall and has a 1.5-inch radius. What is the ratio of the volume of the smaller cone to the volume of the larger cone?
A.
4 : 9
B.
8 : 27
C.
9 : 4
D.
27 : 8
The volume of the larger cone is about 18.8 cubic inches greater than the volume of the small cone
The volume of a cone is calculated as:
For the small cone, we have the following parameters:
Diameter = 3 inches
Height = 3.5 inches
Diameter = 4.5 inches
Height = 5.1 inches
So, the volume of the large cone is:
Calculate the difference of both volumes
Hence, the volume of the larger cone is about 18.8 cubic inches greater than the volume of the small cone
Read more about volumes at:
brainly.com/question/8994737
when each edge of a cube is decreased by 1 cm, its volume is decreased by 91 cm^3 .Find the length of the a side of the original cube.
Step-by-step explanation:
the original side length is x.
the volume of a block is length × width × height.
so, for a cube with all sides being equal, the volume in our case is x³ (x × x × x).
now, with the same formula but with every side shortened by 1 cm we get
(x-1)(x-1)(x-1) = x³ - 91 (the original volume minus 91)
now, we have to do the multiplications.
(x-1)(x-1) = x² - 2x + 1
(x²-2x+1)(x-1) = x³ - x² - 2x² + 2x + x - 1 = x³ -3x² + 3x -1
x³ - 3x² + 3x - 1 = x³ - 91
-3x² + 3x = -90
-x² + x = -30
x² - x = 30
x² - x - 30 = 0
the general solution to such a squared equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = -1
c = -30
x = (1 ± sqrt((-1)² - 4×1×-30))/(2×1) =
= (1 ± sqrt(1 + 120))/2 = (1 ± sqrt(121))/2 =
= (1 ± 11)/2
x1 = (1 + 11)/2 = 12/2 = 6
x2 = (1 - 11)/2 = -10/2 = -5
a negative number does not make any sense for a side length, so our solution is x = 6 cm.
the original side length of the cube is 6 cm.
to check :
6³ = 216
(6-1)³ = 5³ = 125
216 - 125 = 91
perfect.
write and evaluate an equation or inequality for each situation.
Alexandria has a base pay of $600 increased by her commission (x) totals $740.
What is the value of 350−30(−14+2.5)
Answer:
695
Step-by-step explanation:
So for thus, you need to follow PEMDAS
First, Parentheses
(-14 + 2.5) = -11.5
Skip E, there are no Exponents
Now for Multiplication
30 * (-11.5) = -345
Lastly, Subtraction
350 - -345
Becomes 350 + 345 = 695
Answer:
The answer is 695.
350-30(-14+2.5)=695.
a fair coin is flipped 11 times exactly 9 are tails
The probability of having tails is 9/11
Data;
N = 11tails = 9ProbabilityThis is the possibility of an event occurring. In a sample space of 11 coin flips, tails came up 9 times and head came up 3 times
Number of time head came up = [tex]11-9 = 3[/tex]
The probability of having tails is calculated as
[tex]p = \frac{9}{11}[/tex]
The probability of having head is calculated as
[tex]p = \frac{3}{11}[/tex]
The probability of having tails is 9/11
Learn more on probability here;
https://brainly.com/question/24756209
Please help! I will mark brainliest
Answer: C
Step-by-step explanation:
Statement C is true
The interquartile range of the distances for the bus drivers is 5 miles less than the interquartile range of the distances for the teachers.
Interquartile range = [tex]\underline{Q_{3} - Q_{1}}[/tex]
For bus drivers = 30 - 5 = 25 miles
For teachers = 25 - 5 = 30 miles
Distance of bus drivers = distance of teachers - 5 miles
everyone please answer one of these my birthday tuesday but i might be in trouble if i fail this :(
Answer:
11. b
10.d
9.c
7.b
1.d
the rest I can't see clearly
please give brainiest
Step-by-step explanation:
11.
3/x-4=7/x
*cross multiply
3x=7 (x-4)
3x=7x-28
28=7x-3x
28=4x
x=7
10.
SOHCAHTOA
Cos☆=11/14
cos^-1 (11/14)
☆=38.21 degrees
9.
MLN CONGRUENT TO WBN
ML/WB=LN/BN=MN/WN
LN/BN=10/6
ML/WB
24/x=10/6
24x6=10x
144÷10
=14.4
6^2+14.4^2
=243.36
squareroot
=15.6
If year boys built 3/14of an igloo and year 3 girl have built 3/7of the same igloo.How much have they built in all?How much is left? Show your working out?
Answer:
year boy built an igloo =3/4
year3 girl built same igloo=3/7
To find out all together how much have built =3/4+3/7
if we take alceam
4×7=28
in fraction down we need to make 28
so 3/4 we multiply by 7 and 3/7we multiply by 4
3×7/4×7+3×4/7×4=21/28+12/28=21+12/28
33/28
to find out we divide fraction we will know what left .
1,5/28
5is left.
PLS HELP ME I WILL MARK THE BRAINLIEST
Answer:
a. 314.2 in²
b. 36 m²
c. 60 m²
Step-by-step explanation:
The areas of these plane figures can be found by substituting the given dimensions into the area formula.
a.The area of a circle can be found from its diameter to be ...
A = (π/4)d²
A = (π/4)(20 in)² = 100π in² ≈ 314.2 in²
__
b.The area of a parallelogram can be found as ...
A = bh
A = (9 m)(4 m) = 36 m²
__
c.The area of a triangle can be found from ...
A = 1/2bh
A = 1/2(15 m)(8 m) = 60 m²
_____
Additional comment
A triangle with sides 17 and 15 and height 8 cannot be obtuse. It is a right triangle. (Those side lengths are a Pythagorean triple.)
Not spinning a 5 and flipping tails
Btw the spinner is 1-5
Answer:
Im confused w ur question or i dont know maybe im just dum.b
Step-by-step explanation:
7. (a) A line has the equation y = 6x – 3 and goes through the point (4, a).
Calculate the value of a.
[tex]a = 6(4) - 3 = 24 - 3 = 21[/tex]
what is y=-2x+5 as standard form
Answer:
2x + y = 5
Step-by-step explanation:
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
given
y = - 2x + 5 ( add 2x to both sides )
2x + y = 5 ← in standard form
Answer:
y=-2x+5 as standard form is 2x+y=5
Can I pleae get some help i dont get it
Answer:
Step-by-step explanation:
Initial value ( y - value) for Function A is 12.
For B its 3(-1) + 2 = -1 so the answer is Function A.
Answer:
Find 'Function A's linear equation by using point-slope formula;
y - y1 = m(x - x1)Where y1 = your first y-coordinate in any pair, and x1 = your first x-coordinate in the following pair used for the y-coordinate, and lastly m = slope.
But, we do not have the slope so we use the formula to find the slope(rise/run) of any two random points;
y2(second y-coordinate) - y1(first y-coordinate)
______________________________________
x2(second x-coordinate) - x1(first x-coordinate)
We plug in these values using any two ordered pairs, so I'll just use (-1,12) and (0,8).
12 - 8 4
_____ = ______ = -4/1 or -4 is the slope, so now we utilize this slope into
-1 - 0 -1
our point slope formula:-
y - y1 = m(x - x1)
For this, we just use one arbitrary pair, I'll use (-1,12).
So,
y - 12 = -4(x - (-1))
simplify
y - 12 = -4x - 4
isolate y by adding 12 to both sides (inverse operation of subtraction is addition)
+12 +12
y = -4x + 8, is the function for A.
Now let's compare the y-intercepts of both of these functions because we want to see which one has the greatest initial value.
Function A: y = -4x + 8, 8 is the y-intercept in this case.
Function B: y = 3x + 2, 2 is the y-intercept in this case.
Compare;
8 > 2, therefore Function A has a greater initial value.
An orange has a diameter of 3 in. and a grapefruit has a diameter of 4 in. What is the approximate difference in the volume of the two fruits?
A.
5 in.3
B.
7 in.3
C.
19 in.3
D.
29 in.3
The approximate difference of the volume of the two spherical fruits is: C. 19 in.³.
What is the Volume of a Sphere?Volume of sphere = 4/3πr³
The orange and the grapefruit are spherical in shape. Therefore:
Volume of orange = 4/3πr³ = 4/3π(1.5)³ = 14.14 in.³
Volume of grapefruit = 4/3πr³ = 4/3π(2)³ = 33.51 in.³
Difference in volume = 33.51 - 14.14 = 19.37
Therefore, the approximate difference of the volume of the two spherical fruits is: C. 19 in.³.
Learn more about the volume of sphere on:
https://brainly.com/question/22807400
What is the area of this triangle?
y
5
D
4
F
Enter your answer in the box.
3
2
1
E
units2
Answer: 6 units squared.
Step-by-step explanation: The equation for area of a triangle is 1/2 * length of base * the length of the height.
The length of the base is D to E, which is 3 units.
The length of the height is from F to the base of the triangle, which is 4 units.
Therefore, the area of the triangle would be 1/2 * 3 * 4 = 6 units squared.
(a) Make y the subject of 3y - 2x = 5.
(b) Hence, find the value of y when x= -2.
Answer:
a) 5/2
b) 1/3
Step-by-step explanation:
a) 3y-2x=5 to find the value of y let we replace x by 0
then solve it
Answer:
(a) y = 2/3x + 5/3
(b) y = 1/3
Step-by-step explanation:
(a) Make y the subject of 3y - 2x = 5
3y - 2x = 5
+ 2x + 2x ==> isolate the variable y, by adding 2x to both sides
3y = 2x + 5 ==> divide both sides by three
/3 /3
y = 2/3x + 5/3 ==> y now becomes the subject, or our final answer
(b) Using 3y - 2x = 5 or y = 2/3x + 5/3, find the value of y when x= -2
y = 2/3x + 5/3
y = 2/3(-2) + 5/3 ==> substitute -2 for x
y = -4/3 + 5/3 ==> add the fractions
y = 1/3 ==> the value of y, our final answer
OR
3y - 2x = 5
3y - 2(-2) = 5 ==> substitute -2 for x
3y - (-4) = 5
3y + 4 = 5 ==> --4 makes a +4, the subtract 4 (-4) from both sides
- 4 - 4
3y = 1 ==> divide both sides by 3
/3 /3
y = 1/3 ==> your final answer
Hope this helps!
PLEASE HURRY! (pt 2)
A bag of tokens contains 99 red, 77 green, and 77 blue tokens. What is the probability that a randomly selected token is blue or green? Enter your answer as a fraction.
Answer:
14/23
Step-by-step explanation:
There are 253 tokens in all. Since 77 are blue and 77 are green, the probability of selecting either a blue token or a green token is 154/253, which reduces to 14/23.
the figure shows a solid cube with dimensions 24 cm by 15 CM by 16 cm. A cylinder with a base radius of 4 cm and height of 7 cm is removed from the cuboid. find the area that will be covered in paint? (surface area)
Answer:
=2,133 3/7cm^2
Step-by-step explanation:
sides
15x16=240
240x2
=480cm^2
24×16=384
384×2= 768cm^2
768+480
a=1248cm^2
24x15=360cm^2
22/7x4x4
=50 2/7cm^2
360- 50 2/7
=354 5/7cm^2
(354 5/7)2
b=709 3/7cm^2
22/7x8x7
=22x8
c=176cm^2
a+b+c
1248+709 3/7+ 176
=2,133 3/7cm^2