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3 years ago

Savings account with 200$ and receive 4% interest for 7 years, how much would be in the account?

Mathematics

1 answer:

Fantom [35]3 years ago

5 0

Answer:

256

Step-by-step explanation:

To calculate these kinds of things, I multiply the principal (200), the interest rate (0.04) and the time (7). This results in 56. However, since the question is how much would be in the account, it would be 200+56 which is 256.

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Find the inverse Laplace transform f(t) of the function F(s). Write uc for the Heaviside function that turns on at c, not uc(t).

zzz [600]

Answer:

F(t) $=\frac{-1}{2}e^{7(t-7)}+\frac{1}{2}e^{-7(t-7)}$

Step-by-step explanation:

We have given $F(S)=\frac{7e^{-7s}}{s^2-49}$

Now $F(S)=e^{-7s}G(s)$

Here $G(S)=\frac{7}{S^2-49}$

Now first find the Laplace inverse of G(S)

Using partial fraction

$\frac{7}{(s+7)(s-7)}=\frac{A}{(S+7)}+\frac{B}{S-7}$

$7=A(S-7)+B(S+7)$

On comparing the coefficient

$A=\frac{1}{2}$ and $B=\frac{-1}{2}$

On putting the value of A and B

$G(S)=\frac{-1}{2(S+7)}+\frac{1}{2(S+7)}$

Taking inverse Laplace

$G(t)=\frac{-1}{2}e^{7t}+\frac{1}{2}e^{-7t}$

Now in G(s) there is onether term $e^{-7s}$

So F(t) $=\frac{-1}{2}e^{7(t-7)}+\frac{1}{2}e^{-7(t-7)}$

6 0

3 years ago

10 cm<br> What’s the answer?

KIM [24]

Answer:

if im correct it should be 40

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Asking easy questions so people can get points! (must be correct answer)

algol13

1979/13 is 152.23 :))))

7 0

2 years ago

What is the length of the ladder? It is 6 ft. from the house at the bottom and touches the wall 14 ft. up at the top. Simplify y

Sauron [17]

Answer:

15.2

${c }^{2} = {a}^{2} + {b}^{2} \: \\ {c}^{2} ={6}^{2} + {14}^{2} \\ {c}^{2} = 36 + 196 \\ {c}^{2} = 232 \\ \sqrt{c } = \sqrt{232} \\ c = 15.23154621$

4 0

2 years ago

Please help! What is 9.6=1/2b show work please!

o-na [289]

Answer:

b = 19.2

Step-by-step explanation:

9.6 = ½b

=> 9.6 × (2/1) = b

=> 9.6 × 2 = b

=> 19.2 = b

8 0

2 years ago