HELP ASAP!! Two customers took out loans from a bank. • Henry took out a 4-year loan for $5,000 and paid 4.2% annual simple interest. • Ingrid took out a 6-year loan for $5,000 and paid 3.9% annual simple interest. What is the difference between the amounts of interest Henry and Ingrid paid for their loans? A) $417 B) $150 C) $60 D) $330

The difference between the amounts of interest Henry and Ingrid paid for their loans is $330.

Given that,

Henry took out a 4-year loan for $5,000 and paid 4.2% annual simple interest.

And Ingrid took out a 6-year loan for $5,000 and paid 3.9% annual simple interest.

We have to find,

The difference between the amounts of interest Henry and Ingrid paid for their loans.

According to the question,

Henry took out a 4-year loan for $5,000 and paid 4.2% annual simple interest.

Then,

Where, Principal = $5000, rate = 4.2% = 0.042, and time = 4 years

Therefore,

The amount of interest of Henry is $840.

Ingrid took out a 6-year loan for $5,000 and paid 3.9% annual simple interest.

Where, Principal = $5000, rate = 3.9% = 0.039, and time = 6 years

Then,

The amount of interest of Ingrid is $1170.

Therefore,

The difference between the amounts of interest Henry and Ingrid paid for their loans.

= $1170 - $840 = $330

Hence,  The difference between the amounts of interest Henry and Ingrid paid for their loans is $330.

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option D is the correct answer.

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the loan.

P represents the principal or amount taken as loan

R represents interest rate

T represents the duration of the loan in years.

Considering Henry's loan,

P = 5000

R = 4.2

T = 4 years

I = (5000 × 4.2 × 4)/100 = $840

Considering Ingrid's loan,

P = 5000

R = 3.9

T = 6 years

I = (5000 × 3.9 × 6)/100 = $1170

The difference between the amounts of interest Henry and Ingrid paid for their loans is

1170 - 840 = $330

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: