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3 years ago

A principal of $950 is invested in an account at 7% per year simple interest. What is the account total after 5 years?

Mathematics

1 answer:

ss7ja [257]3 years ago

8 0

I=950×0.07×5
=332.5
A=950+332.5=1,282.5

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What is 1.323 as a percent

My name is Ann [436]

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3 years ago

Read 2 more answers

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

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2 years ago

Jason and Maria are playing a board game in which three dice are tossed to determine a player's move. Find each probability for:

fredd [130]

Tossing a die will have 6 possible outcomes. Those are having sides that are number 1 to 6. The sample space of tossing 3 dice is equal to 6³ which is equal to 216. Now for the calculation of probabilities,

P(two 5s) = (1 x 1 x 5)/216
As we have to have the 5 in the die for two times, then for the 1 time, we can have all other numbers except 5. The answer is 5/216.

P(three 5s) = (1 x 1 x 1)/216 = 1/216

P(one 5 or two 5s) = (1 x 5 x 5)/216 + (1 x 1 x 5)/216 = 5/36

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2 years ago

Please give the actual answer if you choose to anwser

zlopas [31]

9514 1404 393

Answer:

C. 78°

Step-by-step explanation:

The sum of angles in a triangle is 180°.

(7x-6)° +(4x+11)° +43° = 180°

11x +48 = 180 . . . . . divide by °, simplify

11x = 132 . . . . . . . subtract 48

x = 12 . . . . . . . divide by 11

Then the measure of angle T is ...

∠T = (7x -6)° = (7(12) -6)°

∠T = 78°

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2 years ago

Is (3,2) a solution of -8x-2y<6

BartSMP [9]

Answer:

yes

Step-by-step explanation:

-8x-2y<6

put in x and y and see if it is less than 6

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3 years ago