Answer:
1.) 12000
2.) 6750
3.) 2.41
Step-by-step explanation:
Given the Equation :
f(t)=12,000(3/4)^t. ; where, t = time ; f(t) = worth of car at time, t
When, car was purchased, t = 0
t = 0
f(0) = 12000(3/4)^0
= 12000 * 1
= 12000
2.)
f(2) ; this mean the worth of the car after 2 years :
f(2)=12,000(3/4)^t.
12000(3/4)^2
12000 * 0.5625
= 6750
When car will be worth 6000
f(t) = 6000
f(t)=12,000(3/4)^t.
6000 = 12,000(3/4)^t
6000 / 12000 = (3/4)^t
1/2 = (3/4)^t
Take the log of both sides :
Log(0.5) = log(0.75)^t
log(0.5) = tlog(0.75)
- 0.301029 = - 0.124938t
t = - 0.301029 / - 0.124938
t = 2.4094
t = 2.41 years
Easy math please help!!
James is making orange juice from concentrated frozen orange juice that he must mix with water. The concentrated juice is in 12 fluid ounce cartons. The ratio of orange juice concentrate to water is 12 fluid ounces to 36 fluid ounces. If James needs 4.5 gallons of orange juice, which is 576 fluid ounces, how many cartons of concentrated orange juice does he need? (Your answer should just be a number.)
Answer:
48
Step-by-step explanation:
Someone help me with this pls
Answer:
5-² is your correct answer
Answer:
=5^10/5^12
= 5^10-12
=5^-2
Simplify: 8 + 14 – 5 - 7 + 3 - 7 - 4
Answer:
2
Step-by-step explanation:
Answer:
[tex]2[/tex]
Step-by-step explanation:
[tex]8+14-5-7+3-7-4[/tex]
We'll Follow the PEMDAS order of operations:-
Add and subtract:-
8+14=22
[tex]22-5-7+3-7-4[/tex]
22-5=17
[tex]17-7+3-7-4[/tex]
17-7=10
[tex]10+3-7-4[/tex]
10+3=13
[tex]13-7-4[/tex]
13-7=6
[tex]6-4[/tex]
[tex]2[/tex]
OAmalOHopeO
???????????????….?????…..?????????
Answer:
C
Step-by-step explanation:
Sine equals opposite over hypotenuse, which would be y/19. To find y multiply by 19 to get y=19sin33°
Select the letter of the correct answer. A museum in South Africa uses paintings of right-angled triangles to teach children about the Pythagorean Theorem: A squared + B squared = C squared Let's say that A = 4 and B = 3. Based on the theorem, what is the value of C squared? Choose the correct expression. A 42+
32 B (4 x 3)2 C (4 + 3)2 D 4 + 3
rewrite each expression as single exponent. Answer all of them Please!
1} 11 to the second power times 11 to the tenth power
2} 13 to the 6 power times 13 to the forth power
3} 14 to the power 9 times 14 to the tenth power
4} 2 to the power 4 times 2 to the forth power
5} 7 to the 8 power times 7 to the 6 power
6} 3 to the power 3 times 3 to the 9 power
Answer:
[tex]11^2 *11^10 \\13^6 *13^4\\14^9 * 14^10\\2^4*2^4\\7^8*7^6\\3^3*3^9[/tex]
Step-by-step explanation:
Please Mark Brainliest for helping
Find the volume of this right rectangular
prism.
3 in
9 in
. 3 in
[ ? ]in3
Answer 8.1
Step-by-step explanation:
3 x 9 x 0.3 = 8.1
Solve plz
500 - 2.23
Answer:
497.8
Step-by-step explanation:
500-2.23=497.77=497.8
Answer:
500-2.23500-2.23497.77hope it helps
stay safe healthy and happy.Please answer this math question for me
Answer:
Hello! answer: e = 103 f = 77
and I don't really know what d is sorry! but If I had to guess id say 90
20 points! pls helppppp it's almost recognition day for me!!
I'm sorry but i'm bad at math ;-;
using the given figures, find the values of the unknown variables
(PROVING ISOSCELES TRAPEZOID)
1. 10x +14 y+8 37 27 +3 4y-19 X+77.
Answer:
Step-by-step explanation:
What are the values of c and d in the matrix subtraction below? [ 6 8 -11 15 ]-[c+2 3 -5 d-4 ]=[ 22 5 -6 17] C=-14 d= -6 c=-18 d= -6 c=-14 d=2 c=-18 d=2
Answer:
c=-18 d=2
Step-by-step explanation:
[ 6 8 -11 15 ]-[c+2 3 -5 d-4 ]=[ 22 5 -6 17]
The equation tells that when the two matrices are subtracted we get the resultant matrix.
Each element of the first matrix corresponds to each element of the second matrix
From above
6- (c+2)= 22
6- c-2= 22
4-c= 22
-c= 22-4
-c= 18
c= -18
And
15-( d-4)= 17
15- d+4= 17
19-d= 17
-d= 17-19
-d= -2
d= 2
Answer:
D
Step-by-step explanation:
c= -18
d= 2
7=x + 2x - 5 - 58
Show work please
Answer:
x= 23.33
Step-by-step explanation:
7=x+2x-5-58
combine like terms
7=3x-63
add 63 to both sides
70=3x
divide by 3
x=23.33
Find the area of the complex figure below.
A. 84 in^2
B. 90 in^2
C. 96 in^2
D. 102 in^2
If the perimeter of the polygon is 42, AB = ______?
Answer:
AB = 7
Step-by-step explanation:
The polygon pictured is a hexagon, which means that it has 6 equal side lengths. The perimeter is 42. AB is the length of one side.
Perimeter = 6 x length of one side
If you plug everything you know in the equation, you would get...
42 = 6 x length of one side
42 ÷ 6 = 7
So, 7 is the length of AB, since in a hexagon, all sides are the same length.
The length of side AB is 7.
What are regular polygons?A regular polygon is a closed shape that has straight sides of equal length and interior angles of equal measure.
This means that all of the sides and angles of a regular polygon are congruent (i.e., have the same size).
We have,
The given polygon is a hexagon since it has 6 faces.
Now,
The six faces are equal in length.
So,
6 faces length = 42
Now,
Each face = x
And,
6x = 42
x = 42/6
x = 7
Thus,
The length of AB is 7.
Learn more about regular polygons here:
https://brainly.com/question/24328525
#SPJ
Can someone help on this?
Answer:
D
Step-by-step explanation:
p(x, y) reflection on y axis = p'(-x, y)
Help ASAP, mathematics trig
Answer:
D
Step-by-step explanation:
Using the tangent ratio in the right triangle
tanθ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{7}{4}[/tex] , then
θ = [tex]tan^{-1}[/tex] ([tex]\frac{7}{4}[/tex] ) ≈ 60° ( to the nearest degree )
Is this a polygon or trapezoid?
Answer:
No
Step-by-step explanation:
this is my opinion so No
Please help I’m strugglinggg Oml and this is due right now
Answer:
i dont understand thisssssssss im sorrrryy what is c(5)?????? huhhhhhhhhh
Step-by-step explanation:
there are 10 children in line. four are girls the rest are boys. which number sentence can be used to find the number of boys in line?
Answer:
Im sorry i dont understand what you mean by sentence but there are 6 boys
Step-by-step explanation:
Multiple Select: Multiply and match each of the following
expressions.
A. (x − p) (x + p)
B. (x – 5) (x + 7)
C.(x + p) (x + p)
A.isz? - 2px – pº A.isx? – p2 B.isz? + 2x – 35
B.isx? - 20 – 35 Cisx2 + 2px +p?
Answer:
A. (x − p) (x + p) = x² - p²
B. (x – 5) (x + 7) = x² + 2x - 35
C. (x + p) (x + p) = x² + 2px + p²
Step-by-step explanation:
To find - Multiply and match each of the following expressions.
A. (x − p) (x + p)
B. (x – 5) (x + 7)
C.(x + p) (x + p)
Proof -
A.)
The expression is - (x − p) (x + p)
Now,
(x − p) (x + p) = x(x + p) - p(x + p)
= x(x) + x(p) - p(x) - p(p)
= x² + xp - px - p²
= x² - p²
⇒(x − p) (x + p) = x² - p²
B.)
The expression is - (x – 5) (x + 7)
Now,
(x − 5) (x + 7) = x(x + 7) - 5(x + 7)
= x(x) + x(7) - 5(x) - 5(7)
= x² + 7x - 5x - 35
= x² + 2x - 35
⇒(x − 5) (x + 7) = x² + 2x - 35
C.)
The expression is - (x + p) (x + p)
Now,
(x + p) (x + p) = x(x + p) + p(x + p)
= x(x) + x(p) + p(x) + p(p)
= x² + xp + px + p²
= x² + 2px + p²
⇒(x + p) (x + p) = x² + 2px + p²
Margaret is going on vacation to Alaska. She has 13 sweaters and needs to choose 6 to take with her on vacation. How many ways can she choose the 6 sweaters to take? Question 7 options: 1,716 1,235,520 78 575
Answer:
1,716
Step-by-step explanation:
I just took the quiz.
Help correct get brainly lol
Answer:
there are seven variable terms
Step-by-step explanation:
variables are letters (a, b, c, etc.)
i hope this helps :)
Answer:
The answer is 4 because are all separate variables (also combines into one variable)
Step-by-step explanation:
What is the area of a circle with a diameter of 5.4
P.S Show work
Sabrina babysits for young kids in her neighborhood. Last Friday night, she babysat one child for 2 hours and made $16. Tonight, she babysat one child for 6.5 hours and made $34. Determine and interpret the rate of change and initial value.
The box plot below represents some data set. What percentage of the data values are between 20 and 55?
Step-by-step explanation:
the solution is self explanatory
ASAP!! ILL GIVE BRAINLEST
In any given pair of similar three dimensional figures, if the ratio of the sides is a:b, then the ratio of
the surface areas is...
A:B
A^3:B^
A^-1:B^-1
A^2:B^2
Someone help me ASAP please and thank you
A.
Step-by-step explanation:
It's exactly what's asked for.
I WILL GIVE BRAINLIEST!!!!!!! A video game developer wants to know how long it takes people to finish playing their new game. They surveyed a random sample of 13 players and asked how long it took them (in minutes). 1.235 952 457 1,486 1,486 | 1,759 1,148 548 1,0371,864 | 1,245 866 1,431 a. Estimate the median time it will take all players to finish this game. minutes b. Find the interquartile range for this sample minutes
Answer:
a) median = 1,148 minutes
b) IQR = 549.5
Step-by-step explanation:
Q1 = (952 + 866) / 2 = 909
Q3 = (1431 + 1486) / 2 = 1458.5
IQR = 1458.5 - 909.0 = 549.5
The planet venus is on average 2.5x10^7 kilometers from earth. The planet mars is on average 2.25x10^8 kilometers from earth. What is the average distance from venus to mars?
Answer:
The average distance from venus to mars is 2.5x10⁸ kilometers.
Step-by-step explanation:
We know:
d₁: average distance between venus and earth = 2.5x10⁷ km
d₂: average distance between mars and earth = 2.25x10⁸ km
We can find the average distance from venus to mars as follows:
[tex] d_{t} = d_{1} + d_{2} [/tex]
First, we need to equal the base power 10 so we can sum both distances:
[tex]2.25 \cdot 10^{8} = 2.25 \cdot 10^{7} \times 10 = 22.5 \cdot 10^{7} km[/tex]
Now, average distance:
[tex]d_{t} = 2.5 \cdot 10^{7} + 22.5 \cdot 10^{7} = (2.5 + 22.5) \cdot 10^{7} = 25 \cdot 10^{7} km = 2.5 \cdot 10^{8} km[/tex]
Therefore, the average distance from venus to mars is 2.5x10⁸ kilometers.
I hope it helps you!