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kvasek [131]
2 years ago
14

Can someone please help and explain

Mathematics
1 answer:
dangina [55]2 years ago
7 0

Answer:

c = 300000 {(1.05)}^{50}

Step-by-step explanation:

The future value formula is FV=PV(1+i)^n, where the present value PV increases for each period into the future by a factor of 1 + i.  value PV increases for each period into the future by a factor of 1 + i. 

fv = pv {(1 + r)}^{n}

fv = future value

pv = present value

r = annual interest rate ( decimal number)

n= period

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A B means:
SVETLANKA909090 [29]

Answer:

A is a subset of B i believe that's the answer

8 0
2 years ago
Which mathematical sentence most Accurately expresses the information in the problem below?
d1i1m1o1n [39]

Answer:

Don't quote me on this but it's probably C. 12c ≥ 88

Step-by-step explanation:

This is because he packages 88 eggs <em>into </em>cartons of 12.

88/12 is 7.33333... so it makes sense to have a greater or equal amount of eggs. If you multiply 7.333333... by 12, each additional 3 gets you closer to 88 so again, makes sense to have more.

5 0
2 years ago
Use the definition of a Taylor series to find the first three non zero terms of the Taylor series for the given function centere
Ket [755]

Answer:

e^{4x}=e^4+4e^4(x-1)+8e^4(x-1)^2+...

\displaystyle e^{4x}=\sum^{\infty}_{n=0} \dfrac{4^ne^4}{n!}(x-1)^n

Step-by-step explanation:

<u>Taylor series</u> expansions of f(x) at the point x = a

\text{f}(x)=\text{f}(a)+\text{f}\:'(a)(x-a)+\dfrac{\text{f}\:''(a)}{2!}(x-a)^2+\dfrac{\text{f}\:'''(a)}{3!}(x-a)^3+...+\dfrac{\text{f}\:^{(r)}(a)}{r!}(x-a)^r+...

This expansion is valid only if \text{f}\:^{(n)}(a) exists and is finite for all n \in \mathbb{N}, and for values of x for which the infinite series converges.

\textsf{Let }\text{f}(x)=e^{4x} \textsf{ and }a=1

\text{f}(x)=\text{f}(1)+\text{f}\:'(1)(x-1)+\dfrac{\text{f}\:''(1)}{2!}(x-1)^2+...

\boxed{\begin{minipage}{5.5 cm}\underline{Differentiating $e^{f(x)}$}\\\\If  $y=e^{f(x)}$, then $\dfrac{\text{d}y}{\text{d}x}=f\:'(x)e^{f(x)}$\\\end{minipage}}

\text{f}(x)=e^{4x} \implies \text{f}(1)=e^4

\text{f}\:'(x)=4e^{4x} \implies \text{f}\:'(1)=4e^4

\text{f}\:''(x)=16e^{4x} \implies \text{f}\:''(1)=16e^4

Substituting the values in the series expansion gives:

e^{4x}=e^4+4e^4(x-1)+\dfrac{16e^4}{2}(x-1)^2+...

Factoring out e⁴:

e^{4x}=e^4\left[1+4(x-1)+8}(x-1)^2+...\right]

<u>Taylor Series summation notation</u>:

\displaystyle \text{f}(x)=\sum^{\infty}_{n=0} \dfrac{\text{f}\:^{(n)}(a)}{n!}(x-a)^n

Therefore:

\displaystyle e^{4x}=\sum^{\infty}_{n=0} \dfrac{4^ne^4}{n!}(x-1)^n

7 0
1 year ago
Help me pleasee :) :)
andreyandreev [35.5K]
I know that one is obtuse and acute
8 0
3 years ago
The product of 3/4 and 7/8 is less than 7/8?
luda_lava [24]
0.65625 is the decimal product of the fractions 3/4 & 7/8 whereas 7/8 can be simplified to 0.875 in decimal form... comparing both the values, we see that 7/8 is greater than the product of 3/4 and 7/8.
7 0
3 years ago
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