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ki77a [65]
3 years ago
9

I need answer ASAP! Please!!

Mathematics
1 answer:
raketka [301]3 years ago
8 0

0 represents having no money, Kyle starts off the day with +53.76 at the end of the day he has -15.23

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You deposit $3000 in a savings account that earns 2.9% annual interest compounded monthly. You also save $80 per month in a safe
Jlenok [28]

Answer:

C(t)=3000(1.002417)^12t+960t

if T=1 year then the saving will be : 4048.17

Step-by-step explanation:

3000 deposit amount, 2.9 compound monthly interest .  save 80 dollars  per month at home .

A=p(1+r)^t

A=3000(1+0.029/12)^12t

A=3000(1.002417)^12t dollars

for the amount saved at home=80*12t=960t dollars

C(t)=3000(1.002417)^12t+960t

if T=1 year then the saving will be :

C(t)=3000(1.002417)^12t+960t

     =3088.17+960= 4048.17 dollars

7 0
3 years ago
Find the generating function for the sequence 1,-2,4,-8, 16, ...
kirill [66]

Answer:

  a(x)=\dfrac{1}{1+2x}

Step-by-step explanation:

The generating function a(x) produces a power series ...

  a(x)=a_0+a_1x+a_2x^2+a_3x^3+\dots

where the coefficients are the elements of the given sequence.

We observe that the given sequence has the recurrence relation ...

  a_0=1;a_n=-2a_{n-1} \quad\text{for n $>$ 0}

This can be rearranged to ...

  a_n+2a_{n-1}=0

We can formulate this in terms of a(x) as follows, then solve for a(x).

\sum\limits^{\infty}_{n=1} {a_{n}x^n} =a(x)-a_0 \quad\text{and}\\\\\sum\limits^{\infty}_{n=1} {2a_{n-1}x^n} =(2x)a(x) \quad\text{so}\\\\\sum\limits^{\infty}_{n=1} {(a_n+2a_{n-1})x^n}=0=a(x)-a_0+2xa(x)\\\\a(x)=\dfrac{a_0}{1+2x}=\dfrac{1}{1+2x}

The generating function is ...

  a(x) = 1/(1+2x)

3 0
3 years ago
Read 2 more answers
The movie theatre has 250 seats. 225 seats were sold for the current showing . What percent of the seats are empty?
Leno4ka [110]
250-225=25 seats empty. Place what you want/total=(25/250)x100=0.1x100=10% of the seats are empty.
6 0
3 years ago
Read 2 more answers
1.3.IP-28
lidiya [134]

Step-by-step explanation:

Find the difference

3,621 - 1,836 = 1,785

They payed $1,785 dollars in the second installment.

6 0
3 years ago
Write an exponential function for the graph that passes through the points (0,4) and (2, 36). Use the formula y=ab^x​
fomenos

Answer:

Using the equation y = abx , substitute both of your given points into that equation.

2 = ab2 and 4 = ab3   Solve each equation for a.

2⁄b2    and 4⁄b3 = a     Therefore, 2⁄b2 = 4⁄b3

                                   

Cross multiply: 2b3 = 4b2     Divide both sides by b2

2b = 4      a = 2/4 = 1/2

b = 2

y = 1 (2)x

     2

Step-by-step explanation:

3 0
3 years ago
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