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Svet_ta [14]
2 years ago
14

Is this right or? not sure how they want it simplifed

Mathematics
2 answers:
Ratling [72]2 years ago
4 0
You have the correct answer bro it is -4
DanielleElmas [232]2 years ago
3 0

Yes -4 is the correct answer.

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Anna invests $7,000 in an account that compounds interest continuously and earns 7.5%. How long will it take for her
NeX [460]

Answer:

It will take 36.1 years for her money to reach $105,000.

Step-by-step explanation:

The amount of money earned after t years in continuous interest is given by:

P(t) = P(0)e^{rt}

In which P(0) is the initial investment and r is the interest rate, as a decimal.

Anna invests $7,000 in an account that compounds interest continuously and earns 7.5%.

This means that P(0) = 7000, r = 0.075

How long will it take for her money to reach $105,000?

This is t for which P(t) = 105000.

P(t) = P(0)e^{rt}

105000 = 7000e^{0.075t}

e^{0.075t} = \frac{105000}{7000}

e^{0.075t} = 15

\ln{e^{0.075t}} = \ln{15}

0.075t = \ln{15}

t = \frac{\ln{15}}{0.075}

t = 36.1

It will take 36.1 years for her money to reach $105,000.

6 0
3 years ago
Adante Begins to evaluate the expression 3 1/3 x 5 1/4 using the steps below.
Ahat [919]

Answer:

1st choice: (3)(5)+(1/3)(5)+(3)(1/4)+(1/3)(1/4)

Step-by-step explanation:

This would be the next step because of distribution

Hope it helped!

7 0
2 years ago
An amount of R351 is made up with 114 coins (R2 coins and R5 coins only). How many R2 coins are there? How many R5 coin are ther
lisabon 2012 [21]

Answer:

41

Step-by-step explanation:

For this, you have to make two equations;

One that calculates the amount of coins

and one that calculates the amount of R

I'm going to set

R2 = x

R5 = y

To make this a bit easier to look at

So to do the number of coins, you want to do this:

x + y = 114

This is saying that the total amount of R2 coins plus the total amount of R5 coins will add up to 114

Then, you want to calculate the worth of them.

2(x) + 5(y) = 351

This is saying that for ever R2 coin there is, it will increase the total by 2, and every R5, it will increase the total by 5. When you add these together, it will come out to 351.

Then you have to solve the system of equations:

x + y = 114

2x + 5y = 351

-2 * (x + y = 114)

2x + 5y = 351

-2x + -2y = -228

2x + 5y = 351

3y = 123

y = 41

Since y is the amount of R5 coins, we know we have 41 R5 coins.

So the answer is

41

4 0
3 years ago
Suppose that a bag contains 43 red balls, 54 blue balls, and 72 green balls and that 2 balls are chosen at random without replac
Contact [7]

\frac{2}{170}

4 0
4 years ago
1st Step: 3 - 4x - 7 = -24<br> 2nd Step: 3- 7 - 4x = -24<br> What property justifies the 2nd step
gizmo_the_mogwai [7]

Answer:

the subtraction

Step-by-step explanation:

3 0
3 years ago
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