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Mandarinka [93]
1 year ago
9

help solve for initial value, the 1 unit growth/decay factor, the 1 unit percent change and the function for both parts a and b

Mathematics
1 answer:
Vladimir [108]1 year ago
5 0

we have that

i. Initial value

value of the function for t=0

<h2>the initial value is 23</h2>

ii.For t=1

k(t)=23(b)^t

k(1)=23(b)

29.67=23b

<h2>b=1.29</h2>

Part B

initial value ------>

iii. percent change

b=1+r

1.29=1+r

r=0.29

<h2>r=29%</h2>

iv. the equation is

<h2>k(t)=23(1.29)^t</h2>
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Im having trouble figuring out what this question means |7| + -4=?
OverLord2011 [107]

Answer:

3

Step-by-step explanation:

It means absolute value 7 plus -4

This means that if it were a -7, it would become positive because it is under absolute value bars...since it is positive nothing changes

7-4= 3

7 0
3 years ago
When Rafael emptied his pockets, e found he had a total of $3.50 in quarters and nickels. If he had 8 more quarters that nickels
jasenka [17]
You can use systems of equations for this one.

We are going to use 'q' as the number of quarters Rafael had,
and 'n' as the number of nickels Rafael had.


You can write the first equation like this:
3.50=0.05n+0.25q
This says that however many 5 cent nickels he had, and however many
25 cent quarters he had, all added up to value $3.50.
Our second equation is this:
q=n+8
This says that Rafael had 8 more nickels that he had quarters.

We can now use substitution to solve our system.

We can rewrite our first equation from:
3.50=0.05n+0.25q
to:
3.50=0.05n+0.25(n+8)

From here, simply solve using PEMDAS.

3.50=0.05n+0.25(n+8)     --Distribute 0.25 to the n and the 8
3.50=0.05n+0.25n+2     --Subtract 2 from both sides
1.50=0.05n+0.25n     --Combine like terms
1.50=0.30n     --Divide both sides by 0.30
5=n     --This is how many NICKELS Rafael has.

We now know how many nickels he has, but the question is asking us
how many quarters he has.

Simply substitute our now-known value of n into either of our previous
equations (3.50=0.05n+0.25q or q=n+8) and solve.

We now know that Rafael had 13 quarters.

To check, just substitute our known values for our variables and solve.
If both sides of our equations are equal, then you know that you have
yourself a correct answer.

Happy math-ing :)
5 0
3 years ago
What is 11.4 rounded to the nearest tenth
mixas84 [53]
11.4 should be the answer
if you mean tens then it is 10
6 0
3 years ago
(X squared+y squared)-(-x squared+y squared)
zmey [24]
X^2 + y^2 - x^2 +y^2

That would be (1x+1y)-(1x+1y)


8 0
3 years ago
Read 2 more answers
The polynomial 3x ^ 3 - 16x ^ 2 + 31x - 20 the area of a trapezoidal desktop . Of the bases of the x ^ 3 - 5x the height of the
vaieri [72.5K]

Answer:

Step-by-step explanation:

Given:

Area = 3x^3 - 16x^2 + 31x - 20

Base:

x^3 - 5x

Area of trapezoid, S = 1/2 × (A + B) × h

Using long division,

(2 × (3x^3 - 16x^2 + 31x - 20))/x^3 - 5x

= (6x^3 - 32x^2 + 62x - 40))/x^3 - 5x = 6 - (32x^2 - 92x + 40)/x^3 - 5x = 2S/Bh - Ah/Bh

= 2S/Bh - A/B

= (2S/B × 1/h) - A/B

Since, x^3 - 5x = B

Comparing the above,

A = 32x^2 - 92x + 40

2S/B = 6

Therefore, h = 1

6 0
3 years ago
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