You put $500 in your bank account. With an interest rate of 5%, how long will it take the account to reach $600? Use the formula: I = Prt.

Answers

Answer 1
Answer:

Hence, It will take 4 years.

What is interest?

Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan.

Here, we have,

formula: I = Prt.

i.e. t = I/Pr

we have,

Note the 600 is the total amount in the account.

Therefore Interest, I = 600 - 500 = 100.

t = 100 / (500 * 5%)

t =  100 / (500 *0.05)

t = 4

Hence, It will take 4 years to reach $600.

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Answer 2
Answer: t = I/Pr

Note the 600 is the total amount in the account.

Therefore Interest, I = 600 - 500 = 100.

t = 100 / (500 * 5%)

t =  100 / (500 *0.05)

t = 4 

It will take 4 years.

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4x+ 3y -2z=35, 2x-3y+z=-6, x+2y+3z=-5, solve for x,y and z

Answers

1. X = \frac{35}{4}+\frac{\left( -3\right) \ Y}{4}+\frac{z}{2}$$

0.2(x+50)-6=0.4(3x+20)

Answers

0.2(x+50)-6=0.4(3x+20) so like here Let's solve your equation step-by-step.0.2(x+50)−6=0.4(3x+20)Step 1: Simplify both sides of the equation.0.2x+4=1.2x+8Step 2: Subtract 1.2x from both sides.0.2x+41.2x=1.2x+81.2x−x+4=8 Step 3: Subtract 4 from both sides.−x+4−4=8−4              −x=4 your answer is x=-4 because you divide by a negative 1

How do you solve the answer to this
-6(-3)(-2)

Answers

so if 2 number with the same sign are multiplied togher, the result will be positive
so if (-) times (-)=(+)
and (+) times (-)=(-)
then
(-) times (-) times (-)=(-)

so just multiply them so
-6 times -2=+12
+12 times -3=-36


First of all, a negative times a negative times a negative would end up as a negative, so we got that covered. Now all we need is the arithmetic part. 6 x 3 = 18, and 18 x 2 = 36 

So you're final answer would be -36 

Factorise 2x squared -5x -12

Answers

2x^2-5x-12 guess (2x+3)(x-4) works 2x^2+3x-8x-12 2x^2-5x-12 (2x+3)(x-4)

Antonio is standing on a at the edge of a canyon. He yells loudly and hears an echo 1.2 s later. How far away is the other side of the canyon? You may assume the speed of sound is 340 m/s.Russell is watching a thunderstorm. He hears the thunder 5 s after seeing a flash of lightning. How far away was the lightning?

Answers

Answer:

  • 204 m
  • 1700 m

Step-by-step explanation:

a) In 1.2 seconds, sound will travel a distance of ...

  (1.2 s)(340 m/s) = 408 m

This is the round-trip distance, so the reflecting surface is half that distance away.

The other side of the canyon is 204 m away.

__

b) In 5 seconds, the sound will travel a distance of ...

  (5 s)(340 m/s) = 1700 m

This is the one-way distance, so the lightning is about 1700 m away.

Solve the following proportion. 15/21=5/x
A. 3
B. 105
C. 7
D. not given

Answers

If you would like to solve the following proportion 15 / 21 = 5 / x, you can do this as follows:

15 / 21 = 5 / x       /*x
15 / 21 * x = 5      /*21
15 * x = 5 * 21      /15
x = 5 * 21 / 15
x = 7

The correct result would be C. 7.
15/21 = 5/x
15 * x = 21 * 5
15x = 105
x = 7