If $1200 is deposited in an account that pays 6.5% interest, what is the difference in the amount after 4 years between the amount earned if the principal is compounded annually and the amount earned calculated using simple interest?

Answers

Answer 1
Answer: compounded is
A=P(r+1)^t for
P=principal
r=rate
t=time

simplie is
I=PRT
p=principal
r=rate
t=time



comound
P=1200
R=6.5%=0.065
T=4
A=1200(0.065+1)^4
A=1200(1.065)^4
A=1543.76
I=A-P
I=1543.76-1200
I=343.76


simple
P=1200
r=6.5%=0.065
t=4
I=1200*0.065*4
I=312


compare
compouned=343.76
simplie=312
difference=343.76-312=31.76

the difference is $31.76
Answer 2
Answer: the interest would be $312

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my dad is 40 miles away at work...if he leaves work at 6:24pm...and travels at an average of 43 miles per hour...what time is he at home? plz help

Answers

If his speed is 43 mph, then it takes him 40/43 of an hour to go 40 miles.

An hour = 60 minutes.

40/43 of 60 minutes = 55.8 minutes. He gets home 55.8 minutes after 6:24 PM.
Travel 40 miles at a rate of 43 miles per hour equals 40/43 = 0.93 hr = 55.81 min. round up to 56 min.

So take 56 min added to 6:24pm equals 7:20pm approx.

Thanks for the entertainment.

51) Simplify: 4x + 6(3x - 2)

Answers

Answer:

22x-12

Step-by-step explanation:

1)distribute the 6 into the (3x-2)

2)your new equation is 4x+18x-12

3)add like terms: 4x + 18x =22x

4) now subtract 12

5)answer should be 22x-12

6. Describe how you would make 250 mL of a 4.5 M silver nitrate solution. SHOW ALL CALCS.

Answers

Answer:

Dissolve 190 grams of silver nitrate in 250 mL of water.

Step-by-step explanation:

First, find the moles of AgNO₃ from the volume and concentration.

0.250 L × 4.5 mol/L = 1.125 mol

Next, find the mass of AgNO₃ using the molar mass.

1.125 mol × 170 g/mol = 191.25 g

Rounded to two significant figures, dissolve 190 grams of silver nitrate in 250 mL of water.

A car is traveling at a rate of 90 kilometers per hour. What is the car's rate in miles per hour? How many miles will the car travel in 4 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answer.Rate:
Distance in 4 hours:

Answers

Answer:

14.065

Step-by-step explanation:

First you wanna transfer it from kilometers to miles.

if 1 mile is = to 1.6 kilometers that is the same as saying

1/1.6, but because we are using 90 we plug it in and it becomes: 90/1.6 which gives you 56.25.

now we know we are going 56.25 miles per hour and because we are traveling 4 hours divide the miles per hour by 4 and you get 14.065.

A square has an area of 144 square feet. What is the length of each side?

Answers

the area of the square is length × length , so if we need the length of each side all what we have to do is the square root of 144 which is 12 .. so 12 is the length of each side .. I hope that would help you ;)

Call the three angles of a triangle ∠1,∠2,∠3The measure of ∠2 is forty degrees less than that of ∠1; the measure of ∠3 is ten degrees less than twice that of ∠1If x is the measure of ∠1, then which of the following equations would we need to solve in order to calculate the measures of the angles?

Answers

Answer:

             57.50° is the measure of ∠1.

              17.50° is the measure of ∠2.

              105° is the measure of ∠3.

Step-by-step explanation:

Given that,

     x is the measure of ∠1.

Now,

      The measure of ∠2 is forty degree less than that of ∠1, so (x-40) is the measure of ∠2.

      The measure of ∠3 is ten degree less than twice that of ∠1, so (2x-10) is the measure of ∠3.

So,

     According to Angle sum property,

   Sum of the measures of the three angle of triangle is 180°.

Now,

        ∠1 + ∠2 + ∠3 = 180°

        (x) + (x-40) + (2x-10) = 180°

        4x - 50 = 180°

        4x = 230°

        x = 57.50°

So,

   57.50° is the measure of ∠1.

   17.50° is the measure of ∠2.

   105° is the measure of ∠3.