Louie Foster invested $4,500 at 3% interest compounded semiannually for 2 years

Useful Information:

The formula for compound interest is:

Step-by-step explanation:

This is an example of compound percentage increase.

To work this out, you would first have to convert the percentage into a decimal. You can do this by dividing the percentage of 3% by 100, this gives you 0.03. This is because percentages are out of 100 and so dividing the value by 100 gives you the percentage as a part of 1.

The next step is to add 1 to 0.03, this gives you 1.03. This is because you are working out the percentage increase.

The penultimate step is to work out the number of times that the new amount would need to be calculated. This can be done by multiplying 2 by 2, which gives you 4. This is because it will be compounded semiannually, which is twice a year.

The fnal step is to work out the total amount you would need to multiply the amount of 4,500 by 1.03 to the power of 4, this gives you 5064.79 (2 D.P). This is because you are working out 3% of the amount, and then adding it to the new amount and then finding 3% of that amount, and so on.

1) Divide 3% by 100.

2) Add 1 to 0.03.

3) Multiply 2 by 2.

4) Multiplly 4500 by 1.03 to the power of 4.

The answer is in the image 

The solution is in the following image

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Approximately it is aqual to 1300kg

The answer is in the image 

The solution is given in the image below

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

The answer is in the image 

Cost before sale tax=$46.00

Cost after including tax=$48.76

Sale tax=$48.76-46.00

=$2.76

we know,

sale tax=((sales tax rate)/100) * cost before sale tax

2.76=((sales tax rate)/100) *46.00

sale tax rate=(2.76*100)/46

                   =276/46

                    =6%

There fore sales tax rate=6%