A local car dealership is holding a year-end event because new car models have just been released. Declan has $35,000 to spend on a car. The car Declan decides to buy for his family costs $35,000. However, it is part of the year-end event, which means he receives a 15% discount on the new car. Declan plans to put the money he saves on the car into a new bank account. The bank account has a yearly simple interest rate of 4%, paid at the end of each year. If Declan does not add any other money to this bank account, it will take

6 years

Step-by-step explanation:

The computation of the time period is given below:

As we know that

Future value = Present value × (1 + rate of interest)^time period

$6,720 = ($35,000 × 15%) × (1 + 0.04)^time period

$6,720 = $5,250 × 1.04^time period

1.28 = 1.04^time period

So, the time period is 6.29 years i.e. 6 years

hence, the time that should be taken is 6 years

The amount Declan saves from the discount is 15% of $35,000

which is $5250

This Amount $5250 is the amount Declan invests in the bank

This is the Amount the bank pays at the end of the time T of saving

Step-by-step explanation:

The simple Interest is calculated by

I = (P x R x T) / 100

where I is the Interest

R  is the rate in percentage

T  is the time the money will be saved

Another Important quantity is the Amount A

A = I + P

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

The answer is in the 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

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

tip=18% of 75.45

     =18/100 * 75.45 = $13.581

Tip = $13.581

Volume of rectangular prism=length * width * height

Given,

length=3/8cm

breadth=5/8cm

height=7/8cm

therefore volume=(3/8)*(5/8)*(7/8)

                           =105/512 cm3