Which expressions can be used to find the total amount that must be repaid on a 1-year loan of d dollars with 4% simple interest rate? ​Choose all that apply.

A. 1.04d

B. d + 0.4d

C. d + 1/25d

D. d + 0.04d

E. d + 1.04d

Respuesta :

Answer:

D)   The amount that must be paid after a year is (d  + 0.04 d)

Step-by-step explanation:

Here, Principal = d

Time  =1 year

Rate of Interest =  4%

Now, SIMPLE INTEREST =  [tex]\frac{P \times R \times T}{100}[/tex]

                                         =  [tex]\frac{d \times1 \times 4}{100}   = 0.04d[/tex]

or, Simple Interest =   0.04d

Now,   Amount = Principal + Simple Interest

                          =  d  + 0.04d

or, A  = d + 0.04d

Hence, The amount that must be paid after a year is d  + 0.04d

Answer : The correct options are, (A), (C) and (D)

Step-by-step explanation :

Given:

Principle = P = (d) dollars

Interest rate = R = 4 %

Time = T = 1 year

First we have to determine the simple interest.

Using simple interest formula:

[tex]S.I=\frac{PRT}{100}[/tex]

where,

P = principle  

R = interest rate

T = time

S.I = simple interest

Now put all the given values in the above formula, we get:

[tex]S.I=\frac{d\times 4\times 1}{100}[/tex]

[tex]S.I=0.04d[/tex]

Now we have to determine the total amount.

Amount = Principle + Simple interest

Amount = d + 0.04d

Amount = 1.04 d

Amount = d + 1/25d

Thus, the correct options are, (A), (C) and (D)