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Mila [183]
3 years ago
6

Sophia invests $6,100 in a retirement account with a fixed annual interest rate of 3% compounded monthly. What will the account

balance be after 12 years?
Mathematics
1 answer:
yaroslaw [1]3 years ago
7 0

Answer:

FV= $8,739.38

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $6,100

Number of periods (n)= 12*12= 144

Interest rate (i)= 0.03/12= 0.0025

<u>To calculate the future value (FV), we need to use the following formula:</u>

FV= PV*(1 + i)^n

FV= 6,100*(1.0025^144)

FV= $8,739.38

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maria [59]

Answer:

Option D: 6:12 is correct answer.

Step-by-step explanation:

We can find the simplest form of ratio to compare it with the given ratios.

According to given statement,

The ratio is:

No.\ of\ Blue\ Paint\ Gallons: No.\ of\ red\ paint\ gallons\\2:4\\Simplifying\\1:2

Now we will check if the given options can be simplified to 1:2

So,

Option A:

8:12\\2:3

Option B:

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Option C:

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Option D:

6:12\\1:2

As we can see that 6:12 can be simplified to 1:2 which is same as 2:4 so it will make the same shade of purple.

Hence,

Option D: 6:12 is correct answer.

8 0
3 years ago
Only number one please help ​
Alex73 [517]

Answer:

C) 75 + 50x = 25 + 70x

Step-by-step explanation:

ABC Tech:

$50 an hour. So,for x hours= 50 * x = 50x

Service charge = 75 + 50x

Tech Squad:

$70 an hour. So,for x hours= 70 * x = 70x

Service charge = 25 + 70x

C) 75 + 50x = 25 + 70x

50x - 70x = 25 - 75

-20x = -50

x = -50/-20

x =5/2 = 2\frac{1}{2}hours

6 0
3 years ago
Which of the x values are solutions to the inequality 4(2 – x) &gt; –2x – 3(4x + 1)? Check all that apply. x = –1.1 x = –2.2 x =
galben [10]
Answer:
x > - 11/10
(I don't know if this is correct or not, if so i'm glad i helped!)
8 0
4 years ago
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Wittaler [7]

Answer:

16

Step-by-step explanation:

4c + 8

Replace 'c' with 2 and evaluate:

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16

Hope this helps.

8 0
3 years ago
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Rina8888 [55]

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