The 4th term as a G.P is 384 and
3rd term is 96 find the first term.
Answer:
first term is 6
Step-by-step explanation:
MULTIPLY BY 4
1) 6 (1st term)
2) 6x4 = 24 (24 is the second)
3) 24 x 4 = 96 (96 is the 3rd)
4) 96 x 4 = 384 (384 the 4th)
A brand new car costs $18,000, this price depreciates at 25% every year, how much would the car be after 12 years? 20 years?
Answer:
C(12)=$570.18
C(20)=$57.08
Step-by-step explanation:
Exponential Decay Function
The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.
An exponential decaying function is expressed as:
[tex]C(t)=C_o\cdot(1-r)^t[/tex]
Where:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the decaying rate, expressed in decimal
The depreciation of goods is often modeled as an exponential function. The new car costs $18,000 and its price depreciates at r=25%= 0.25 every year.
The depreciation model is:
[tex]C(t)=18,000\cdot(1-0.25)^t[/tex]
Operating:
[tex]C(t)=18,000\cdot 0.75^t[/tex]
At t=12 years, the price will be:
[tex]C(12)=18,000\cdot 0.75^{12}[/tex]
C(12)=$570.18
At t=20 years, the price will be:
[tex]C(20)=18,000\cdot 0.75^{20}[/tex]
C(20)=$57.08
2. Caleb needs to solve the problem 2,406 ÷ 6. In what place is the first digit of the quotient for the problem 2,406 ÷ 6?
Hope this helps!
Also can I please have Brainliest...?
Only if I'm right of course...
2. Which of the following states that if the product of two real numbers is zero, then either of the two is
equal to zero or both numbers are equal to zero?
A. Multiplication Property C. Identity Property
B. Zero Product Property
D. Transitive Property
Answer:
b
B zero product property
Answer:
The Zero property
Step-by-step explanation:
anything multiplied by zero will give you a product of zero
Can someone help me ASAP!?please
expand and simplify
(7 + √6)^(2). Give your answer in the form b+c√6
Step-by-step explanation:
[tex](7 \: + \: \sqrt{6} ) ^{2} [/tex]
[tex](7 + \sqrt{6)} (7 + \sqrt{6} )[/tex]
[tex]49 + 14 \sqrt{6} + 6[/tex]
[tex]55 + 14 \sqrt{6} [/tex]
The expanded and simplified answer is 55 + 14√6.
How to find the simplified form of an expression?The simplified form can be found by carrying out mathematical operations that are pending in the expression. Like the addition, subtraction, multiplication, or division of any number in the expression.
The given expression is expanded and simplified:Given: (7 + √6)^(2)
First, we have to square the expression and expand it.
(a + b)^2 = a^2 +2ab b^2
Similarly we can open the brackets of the given expression:
(7 + √6)^(2) = 49 + 2*7*√6 + 6
= 55 + 14√6
This is similar to the format b+c√6. Here b would be 55 and c would be 14. The given expression was expanded and written in the form of b+c√6.
Therefore, we have expanded and simplified the given expression as 55 + 14√6.
Learn more about the simplified form here: https://brainly.com/question/1698314
#SPJ2
A photo collage consists of seven equal-sized square photos arranged in a row to form a rectangle. If the total area of the collage is 567 square inches, what is the length of the collage? __ inches
Given:
Seven equal-sized square photos arranged in a row to form a rectangle.
Total area of the collage is 567 square inches.
To find:
The length of the collage.
Solution:
Let the side of each square be x inches.
Seven equal-sized square photos arranged in a row to form a rectangle.
So, length of rectangle is 7x and width is x.
Area of rectangle is
[tex]Area=Length\times width[/tex]
[tex]567=7x\times x[/tex]
[tex]567=7x^2[/tex]
[tex]\dfrac{567}{7}=x^2[/tex]
[tex]81=x^2[/tex]
Taking square root on both sides, we get
[tex]x=\pm \sqrt{81}[/tex]
[tex]x=\pm 9[/tex]
Side cannot be negative. So, x=9 inches.
Now,
Width = 9 inches
Length = 7(9) = 63 inches
Therefore, the length of the rectangle is 63 inches.
Determine the constant rate of change for each table.
1. Age (yr) Height (in.)
9514 1404 393
Answer:
2 3/4Step-by-step explanation:
The rate of change in each case can be found by dividing right-column differences by left-column differences.
Table 1
(56 -54)/(10 -9) = 2/1 = 2 . . . the constant rate of change
__
Table 2
(3 -0)/(4 -0) = 3/4 . . . the constant rate of change
_____
Additional comment
Often, in math problems of this sort, you fill in a blank with a number. Above, we have computed those numbers. In real life, it is useful to consider the units that go with that number. The units are divided in the same way the numerical values are.
Table 1: 2 in/yr
Table 2: 3/4 °C/h
The photo shows a portion of an airport. The measure of Z4 is 84°. Find the measure
of Z3.
Help
Answer: 96°
180-84 = 96
I hope this is good enough:
A piece of ribbon that is 8 and 1/3 yards long will be cut into 5 equal pieces to make bows. How much ribbon will be used foe each bow?
Answer:
yes
Step-by-step explanation:
Answer: 1 2/3 yards for each bow
Step-by-step explanation:
8 1/3 divided by 5 = 25/3 * 1/5 = 5/3
The double number line shows that 555 pounds of avocados cost \$9$9dollar sign, 9.
Based on the ratio shown in the double number line, what is the cost for 111 pound of avocados?
Answer:
1 pound of avocado costs $1.8
Step-by-step explanation:
Allow me to rewrite your question for a better understanding and hope it ill fit the original one:
The double number line shows that 5 pounds of avocados cost $9. Based on the ratio shown in the double number line, what is the cost for 1 pound of avocados?
Here is my answer:
Given that:
5 pounds avocados = $9
They want to find out:
cost of 1 pound of avocado
So we use division to solve this problem:
$9:5 pounds = $1.8/pound or:
1 pound of avocado costs $1.8
Hope it will find you well
Thank you.
can i get brainliest by any chance i need 2 more
PLEASE HELP ME 16 POINTS PLEASE HELP
Answer:
A.
Step-by-step explanation:
Answer:
The answer is the first one but don't quote me on that
Step-by-step explanation:
A punch recipe calls for 3/4 cups of Sprite for 1 and 1/4 cups of juice. How much Sprite is needed for 5 cups of juice?
the answer is 3
could I get brainlisted?
Order these from least to greatest
Answer:
-1 1/2,-1,-1/2,0,1/2,1
Step-by-step explanation:
negatives always go to the least, even if they have a bigger number
HELP ASAP FOR BRAINLIEST!!
Tell whether the expression in the pair is equivalent.
37.) 3(5 + z) and 15 + z
Answer:
Not equivalent
Step-by-step explanation:
The three would also be distributed to z making the correct equivalent expression 15+3z
Which of the following results in the expression 0.86 x 22?
Answer: 18.92
Step-by-step explanation: Multiply
22 by 0.86
Answer:
18.92
Step-by-step explanation:
Multiply 0.86 times 22
Find the missing term in the
geometric sequence.
Answer:
110.5
Step-by-step explanation:
208=13+(3-1)d
208=13+2d
-13. -13
195=2d
÷2. ÷2
97.5=d. (d means difference)
13(first term)+97.5=110.5(the answer
Answer:
36
Step-by-step explanation:
Which property is illustrated? x + y = y + x
Answer:
commutative property
Step-by-step explanation:
it is
S= CB-7, for C.
What is the Answer to this?
Answer:
C = (S + 7) / B
Step-by-step explanation:
S = CB - 7
S + 7 = CB
C = (S + 7) / B
Hope this helps!
CAN SOMEONE PLEASE HELP ME WITH GRAPHING THIS? AND PLEASE EXPLAIN HOW TO GRAPH IT
Quadrilateral W X Y Z is shown. Diagonals are drawn from point W to point Y and from point Z to point X and intersect at point C. Line segments Z C and C X are congruent. The length of W C is 2 x + 5 and the length of C Y is 3 x + 2. In quadrilateral WXYZ, WC = 2x + 5 and CY = 3x + 2. What must x equal for quadrilateral WXYZ to be a parallelogram? x =
The value of x must be 3, for quadrilateral WXYZ to be a parallelogram
The given parameters are:
[tex]\mathbf{CY = 3x + 2}[/tex]
[tex]\mathbf{WC = 2x + 5}[/tex]
From the question, we understand that:
Segments ZC and CX are congruent
This means that:
Segments WC and CY are congruent
So, we have:
[tex]\mathbf{WC = CY}[/tex]
This gives
[tex]\mathbf{3x +2 = 2x + 5}[/tex]
Collect like terms
[tex]\mathbf{3x + 2x =-2 + 5}[/tex]
[tex]\mathbf{x =3}[/tex]
Hence, the value of x must be 3, for quadrilateral WXYZ to be a parallelogram
Read more about parallelograms at:
https://brainly.com/question/888539
Answer:
Its 3
Step-by-step explanation:
Have a good day
PLEASE HELP 15 POINTS...PLEASE HELP
Answer:
-4
Step-by-step explanation: it is intercepting the -4 so i think -4 is the right answer
Answer:-4
Step-by-step explanation:
it bc the line crosses on -4
8n+16.2=1.6 what is the variable n
Answer:
n= -1.825
Step-by-step explanation:
Faye bought 3 bookmarks at the book store if each bookmark cost $1.40 and she paid with a twenty dollar bill how much change should she get back
Answer:
$15.80
Step-by-step explanation:
First you multiply $1.40 times 3 to get $4.20 then you subtract the $4.20 from $20 to get $15.80
la siguinete tabla mustran la correspondencia entre dos variables. Determina si es funcion o relacion
Answer:
where's the table. on és la taula?
Step-by-step explanation:
V(t), left parenthesis, t, right parenthesis models the number of visitors in a park as a function of the outside temperature t (in degrees Celsius).
Look at picture posted below.
t 18 20 37
------------------------
v(t) 10 18 46
When does the number of visitors in the park increase faster?
Choose 1 answer:
(A). Between outside temperatures of 181818 degrees Celsius and 202020 degrees Celsius
(B). Between outside temperatures of 202020 degrees Celsius and 272727 degrees Celsius
(C).The number of visitors increases at the same rate over both intervals
Answer:
The number of visitors increases at the same rate over both intervals
Step-by-step explanation:
The unit rate at which the number of visitors in the park increases over a given temperature interval is called the average rate of change, or ARCARCA, R, C.
To find the average rate of change of a function over an interval, we need to take the total change in the function value over the interval and divide it by the length of the interval.
Hint #22 / 3
We are asked to compare the rates at which the number of visitors increases over the interval between an outside temperature of 181818 degrees Celsius and 202020 degrees Celsius, and over the interval between an outside temperature of 202020 degrees Celsius and 272727 degrees Celsius. These correspond to the domain intervals [18,20][18,20]open bracket, 18, comma, 20, close bracket and [20,27][20,27]open bracket, 20, comma, 27, close bracket.
Let's calculate the average rate of change of VVV over those intervals:
ARC_{[18,20]}ARC
[18,20]
A, R, C, start subscript, open bracket, 18, comma, 20, close bracket, end subscript ARC_{[20,27]}ARC
[20,27]
A, R, C, start subscript, open bracket, 20, comma, 27, close bracket, end subscript
\begin{aligned} \dfrac{V(20)-V(18)}{20-18}&=\dfrac{18-10}{2}\\\\&=\dfrac{8}{2}\\\\&=4\end{aligned}\quad
20−18
V(20)−V(18)
=
2
18−10
=
2
8
=4
\begin{aligned} \dfrac{V(27)-V(20)}{27-20}&=\dfrac{46-18}{7}\\\\&=\dfrac{28}{7}\\\\&=4\end{aligned}
27−20
V(27)−V(20)
=
7
46−18
=
7
28
=4
Hint #33 / 3
The average rate of change over the interval [18,20][18,20]open bracket, 18, comma, 20, close bracket is the same as the average rate of change over the interval [20,27][20,27]open bracket, 20, comma, 27, close bracket.
Therefore, the number of visitors increases at the same rate over both intervals.
Using the average rate of change, it is found that the correct option is:
(A) Between outside temperatures of 18 degrees Celsius and 20 degrees Celsius.
The rate of change of a function is given by the change in the output divided by the change in the input.
When the temperature changes from 18 to 20 degrees, the number of visitors increase from 10 to 18, thus, the rate of change is:
[tex]r = \frac{18 - 10}{20 - 18} = \frac{8}{2} = 4[/tex]
When the temperature changes from 20 to 37 degrees, the number of visitors increase from 18 to 46, thus, the rate of change is:
[tex]r = \frac{46 - 18}{37 - 20} = \frac{28}{17} = 1.65[/tex]
First case has higher rate of change, thus, option A is correct.
A similar problem is given at https://brainly.com/question/20732437
For a soccer game, Mr Morant prepared 32 hot dogs. He sold 1/2 of the hot dogs to the fans. He sold 1/4 of the hot dogs to the coaches. How many hot dogs were left?
Answer:
it is nothing
Step-by-step explanation:
1-1=2
what is the solution for x in the equation?
Answer:
x = 5/2 is the answer to the question
Pls help this is already past due
Answer:
Step-by-step explanation:
-5400/-450
12 minutes
Answer:
12 minutes
Step-by-step explanation:
If the rate of the plane is -450 meters per minute, then you have to use the "division" operation in order to know how much time it takes for the plane to reach an altitude of -5,400 meters.
-5,400 meters ÷ -450 meters/minute = 12 minutes
It will take 12 minutes for the plane to reach an altitude of -5,400 meters.
Let's check:
-450 meters x 12 minutes = -5,400 meters
.(02.03 MC) Solve for x: |4x + 12| = 16 (5 points) ??.?.?.?.?
Answer:
x = 1 , − 7
Step-by-step explanation:
Find all solutions for x by breaking the absolute value into the positive and negative components.