Make an exponential model y(t) with the given properties. Assume that t is the number of periods.
The initial value is 460, and there is a 6% decrease each period.
Answer:
y(t) = 460(0.94)^t
Step-by-step explanation:
Use the basic exponential decay form, Y = a(1 - b)^x, where a is the starting amount/y-int, b is the growth/decay rate, and x is amount of time/periods.
Plug in the values we know:
y(t) = 460(0.94)^t will be the exponential model
The exponential model y(t) with the given properties should be considered as the [tex](t) = 460(0.94)^t[/tex].
Calculation of an exponential model:Since
The initial value is 460, and there is a 6% decrease each period.
So here we use the basic exponential decay form i.e.
[tex]Y = a(1 - b)^x,[/tex]
here a is the starting amount
y is interest
b is the growth/decay rate,
and x is amount of time/periods.
So,
[tex]y(t) = 460(0.94)^t[/tex]
hence, The exponential model y(t) with the given properties should be considered as the [tex](t) = 460(0.94)^t[/tex].
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Explain why 20 + (-12) + 12 is the same as 20 + 0??
Answer:
Its the same because you add 12 to the first one, then you take back the 12. So its like you added nothing. And in the second one, you add zero
Step-by-step explanation:
first year of high school heh need a little help
Answer:
(12 + 3x)x
Step-by-step explanation:
(12 + 3)x = 12x + 3x = 15x
(12 + 3x)x = 12x + 3x²
15x
12x + 3x = 15x
They all equal 15x except for (12 + 3x)x
hey mm, i’m lost idk what to do •__•
To find the perimeter, we must add together the length of each side.
The tick mark on the lines means they are equal, so that means we have two lines that are equal to 10
26 + 10 + 35 + 5 + 10 + (38 - 10) = 114"
What value of x is in the solution set of 9(2x+1) <9x-18?
Answer:
x = 0
Step-by-step explanation:
9(2x+1) < 9x - 18
Distribute the 9 through
18x + 9 < 9x - 18
Get like terms on the same sides
9x < -27
Divide both sides by the value in front of the x
x < -3
Hope this helps! :)
Which of the green triangles is a reflection of the blue triangle? a Triangle D b Triangle B c Triangle C d Triangle A e None
Answer:
Triangle A
Step-by-step explanation:
Answer:
a
a
Step-by-step explanation:
a
I am not sure what the answer is to this question. | x - 1 | + 5 = 2 can you please help?
Answer:
The answer is 4
Step-by-step explanation:
I hope it helps I had to do the math
PLS HELP WITH THESE 2 QUESTIONS! I WILL GIVE BRAINLIEST AND 100 POINTS
Answer: it is 12 and 4.50
Step-by-step explanation:
Answer:
Hello hope your having a good day
Step-by-step explanation:
12 and 4.50
BC = 6x + 6,
AB = 8 +9, and
AC = 141.
Find BC
Answer: 60
Step-by-step explanation:
Since AB and BC creates AC, we can add them together to find x, then use that to find the value of BC.
8x+9+6x+6=141 [combine like terms]
14x+15=141 [subtract both sides by 15]
14x=126 [divide both sides by 14]
x=9
Now that we have found the value of x, we can plug that into BC.
6(9)+6 [multiply]
54+6 [add]
60
Now, we know the length of BC is 60.
Answer:
60
Step-by-step explanation:
does 4 time 9.99 give me 39.96?
Answer:
Yes
Step-by-step explanation:
Answer:
yes it does
Step-by-step explanation:
3 3
9.99
x 4
--------------
39.9 6
Leah is paid semimonthly. How many fewer paychecks does she
receive in 2 years compared to someone who is paid weekly?
Answer:
Leah has 80 less paychecks than the weekly person.
Step-by-step explanation:
Leah is getting 24 paychecks in 2 years, Weekly person gets 104 paychecks in 2 years, 104 - 24 = 80 paychecks.
There are 18 boys in a class of 30 students. What percentage of the class is boys
Answer:
60%
Step-by-step explanation:
18 / 30 = 0.6, which is 60%
Answer:
60% are boys and 40 % are girls
Step-by-step explanation:
A kitchen wall tile is shaped like a parallelogram. The base of the tile is two times the height of the tile. The height of the tile is 2 in. The length of the other side of the tile is 3 in. What is the area of the tile?
Answer:
Area = 10 in
Step-by-step explanation:
Base=4 in , Height=2 in , Other Side = 3 in.
Height x Other Side + Base
2 x 3 + 4
2 x 3 = 6 + 4 = 10
Solve for z. z³ = 64 Enter your answer in the box. z =
Answer:
z³ = 64
z³=4³
since power is equal, base will be same
z=4
Step-by-step explanation:
The value of z in the expression is,
⇒ z = 4
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Expression is,
⇒ z³ = 64
Now, We can simplify the expression as;
⇒ z³ = 64
Take cube root both side,
⇒ z = ∛64
⇒ z = ∛4³
⇒ z = 4
Thus, The value of z in the expression is,
⇒ z = 4
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LAST ONE \small \angle L and \small \angle M are supplementary, \small m\angle L=12x+45 and \small m\angle M=18x-30. Determine the measure of each angle
Answer:
[tex] m\angle L = 111\degree \\
m\angle M = 69\degree [/tex]
Step-by-step explanation:
Since, angle L and angle M are supplementary.
[tex]\therefore m\angle L + m\angle M= 180\degree \\ \therefore \: 12x + 45 + 18x - 30 = 180 \degree \\ \therefore \: 30x + 15= 180 \degree\\ \therefore \: 30x= 180 \degree - 15 \degree\\ \therefore \: 30x= 165 \degree \\ x = \frac{165 \degree}{30} \\ x = 5.5 \degree \\ \\ m\angle L = 12x + 45 \\ m\angle L = 12 \times 5.5 + 45 \\ m\angle L = 66 + 45 \\ \huge \red{ \boxed{ m\angle L = 111 \degree}} \\ \\ m\angle M=18x - 30 \\ m\angle M=18 \times 5.5 - 30 \\ m\angle M=99 - 30 \\ \huge \purple{ \boxed{ m\angle M=69 \degree}} \\ [/tex]
Which of these points is farthest from the origin?
A. (0,8)
B.(2, 11)
c.(-6,-8)
D. (-12,0)
Answer:
d:-12,0
Step-by-step explanation:
The equation y = mx + c is satisfied when
x=-1, y = 3, and also when x = 2, y=5
Find the values of m and c.
escribir 8/15 en forma reducida
Answer: 0.533 :> :v
Step-by-step explanation:
WILL GIVE BRAINLIEST! LOOK AT THE IMAGE ATTACHED!
Answer:
x²-√3 x+1/2
Step-by-step explanation:
(√3-1)/2 and (√3+1)/2
the quadratic equation:
x²-(sum of the root)x +product of the roots
x²-((√3-1)/2 + (√3+1)/2)x+((√3-1)/2) )(√3+1)/2)
x²-(2√3/2)x+ (3-1)/4
x²-√3 x+1/2
x²-x√3 +1/2
Simplify (-1)(-1)(-1)
Answer:
[tex]-1^{3}[/tex]
Step-by-step explanation:
Answer:
Simplified -1^3, Solution: -1
Step-by-step explanation:
Since you have to multiply -1*-1*-1 then the answer would be -1. Simply because when simplifying the equation -1*-1 is 1 (remember that when multiplying two negatives it adds to a positive). Then you multiply 1*-1 which comes out to be -1 as the answer. I hope this helps, if you need further explanation please comment below.
Find the product of (x + 7)2
Answer:
2x+14
Step-by-step explanation:
Answer:
2x + 14
Step-by-step explanation:
Step 1:
2 × x + 2 × 14
Answer:
2x + 14
Hope This Helps :)
YALL I NEED HELP W MY HW. its asking for an example of something thats NOT A FUNCTION. i have no ideas !!! help plsss !!
Answer:
A function is a relation in which each input has only one output. In the relation , y is a function of x, because for each input x (1, 2, 3, or 0), there is only one output y. x is not a function of y, because the input y = 3 has multiple outputs: x = 1 and x = 2.
Step-by-step explanation:
X-3.5= -3.1 I'm confused
Answer:
See Below
Step-by-step explanation:
First, isolate x. To do that add 3.5 to each side
x - 3.5 = -3.1
+3.5 +3.5
x= 0.4
Answer:
X = 0.4Step-by-step explanation:
X-3.5= -3.1 add 3.5 each side.
X = 3.5 - 3.1 simplify
X = 0.4 done!
Estimate the square root of 250 to two decimal places.
Answer:
15.81
Step-by-step explanation:
Please mark brainliest if this has helped. Have a good day and goodluck with your work!
Answer:
15.81
Step-by-step explanation:
The full answer is 15.8113883 but since you want it rounded to two decimal places the second 1 in 15.8113883 makes the number round to 15.81
0 less than or equal to -1 is false right ?
I just need to know which side to shade
Answer:
right
Step-by-step explanation:
a number line goer -3 -2 -1 0 and 0 isnt -1 or any (bigger? smaller?) negative number
Answer:
shade the bottom part.
Step-by-step explanation:
I'm pretty sure because if y is less than -x -1 , then everything on the bottom is less than that? Sorry if it is not correct.
4(b+24)=(12b+8) pls help
Answer:
b=11
Step-by-step explanation:
4(b+24)=(12b+8)
4b+96=12b+8
-4. -4
96=8b+8
-8. -8
88=8b
88÷8=11
1. Rocky has already logged forty miles on his daily running program. He runs two miles per
day. Robin has logged ten miles on her daily running program. She is running at a rate of 5
miles per day. After how many days will Rocky and robin logged the same number of met
miles?
Answer:
After 10 days rocky and robin will log the same number of met miles which will be 60 miles.
Step-by-step explanation:
This is because by using y=mx+b and graphing the two equations you can find their intersection which is (10,60).
Sandy went to Pens R Us during their annual sale. There was a pack of 20 pens for $8.50. On another aisle, Sandy saw a pack of 6 pens for $4.50.Which is the better buy and why?. Find the rate and unit rate
Answer:
20, for 8.50
Step-by-step explanation:
6 + 6 = 12, which is 4.50 + 4.50, which would be about 10, so 20 for 8.50 would be better.
What is 4 + 8 divided by 2 x (6 - 3) = ? what does ? equal? ? =__
Answer:
4+8/2*(6-3)
4 + 8/2* 3
4+4*3
4+12
16
Step-by-step explanation:
A number x is decreased by 40% then increased by 25% what is the final result In terms of x ?
Answer:
Step-by-step explanation:
Let your number be X. To increase X by 40% we can multiply it by 1.4, let's call this new number Y.
So Y = X * 1.4
Now to decrease Y by 40% we can multiply it by 1 - .4 = .6. Lets call this new number C.
So C = Y *.6 = (X * 1.4) * .6 = X * (1.4 * .6) = X * .84.
Therefore, C = .84 * X.
So we can see C is 84% of X, or 16% less than X.
Thus, if you increase a number by 40% then decrease it by 40%, the net percentage is -16% .
Final result in terms of 'x' will be → 0.75x
Conversion of verbal statement to algebraic expression: Select the variables given in the verbal statement first. Form the algebraic expression as per verbal statement given in the question.
Let the number = x
As per first statement → "A number 'x' is decreased by 40%"
Algebraic expression for the statement → (x - 40% of x)
→ (x - 0.4x)
→ 0.6x
Second statement → "Then increased by 25%"
Algebraic expression for the statement → (0.6x + 25% of 0.6x)
→ [tex](0.6x+\frac{25}{100}\times 0.6x)[/tex]
→ [tex](0.6x+0.15x)[/tex]
→ [tex]0.75x[/tex]
Therefore, final result in terms of x will be (0.75x).
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