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Dmitry [639]
3 years ago
13

If RS=3x + 1, ST= 2x - 2, and RT=64 find the value of RS and ST

Mathematics
1 answer:
Effectus [21]3 years ago
3 0

Answer:

a. RS= 3x + 1 =64

group like teams

3x =64 - 1

3x=63

divide both sides by 3

<u>Ans: RS= 21</u>

b. ST= 2x - 2 =64

group like teams

2x= 64-2

2x=62

divide both sides by 2

<u>Ans:ST=31</u>

∆ RS= 21 and ST=31

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Answer: D is my best guess

Step-by-step explanation:

6 0
3 years ago
Anna starts a fixed deposit with $178000, the bank offers 9.5% per year simple interest for 8 months. she has the option of rest
soldier1979 [14.2K]

Using simple interest, we have that:

A) The interest due after 8 months is $11,272.33.

B) The total value of the investment will be of $189,986.24.

The amount of interest earning using <em>simple interest</em>, after <u>t years</u>, with an <u>yearly interest rate of i</u> and an <u>initial investment of P</u> is given by:

E = Pit

In this problem:

  • Deposit of $178,000, hence P = 178000.
  • Interest rate of 9.5% per year, hence i = 0.095.
  • 8 months, the time is in years, hence t = \frac{8}{12} = \frac{2}{3}

Item a:

E = Pit

E = 178000(0.095)\frac{2}{3} = 11272.33

The interest due after 8 months is $11,272.33.

Item b:

For the second interest, we consider P = 11272.33, hence:

E_2 = Pit

E_2 = 11272.33(0.095)\frac{2}{3} = 713.91

The total value will be composed by:

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Hence, it will be:

T = 178000 + 11272.33 + 713.91 = 189986.24

The total value of the investment will be of $189,986.24.

A similar problem is given at brainly.com/question/13176347

3 0
3 years ago
If DE = 4 x + 10, EF = 2 x -1, and DF = 9 x - 15, what is the length of DF?
maria [59]

Answer:

DF = 57

Step-by-step explanation:

DE + EF = DF

(4x + 10) + (2x - 1) = 9x - 15

Combine like terms on the left side

6x + 9 = 9x - 15

Subtract 6x on both sides

9 = 3x - 15

Add 15 on both sides

24 = 3x

Divide by 3 on both sides

x = 8

DF = 9x - 15 = 9(8) - 15 = 72 - 15 = 57

Checking:

(4(8) + 10) + (2(8) - 1) = 9(8) - 15

(32 + 10) + (16 - 1) = 72 - 15

58 - 1 = 72 - 15

57 = 57

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---------------------------------------------</span>
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