A total of $7500 is deposited into two simple interest accounts. In one account, the annual simple interest rate is 5%, and in the other account, the annual simple interest rate is 7%. The amount of interest earned in 1 year was $405. How much was invested in each account?

$6000 was deposited in the account earning 5% interest.

$1500 deposited in the account earning 7% interest.

Step-by-step explanation:

Let x represent the amount which he deposited in the account earning 5% interest.

Let y represent the amount which he deposited in the account earning 7% interest.

A total of $7500 is deposited into two simple interest accounts. In one account, the annual simple interest rate is 5%, and in the other account, the annual simple interest rate is 7%. . This means that

x + y = 7500

The formula for determining simple interest is expressed as

I = PRT/100

Considering the account earning 5% interest,

P = $x

T = 1 year

R = 5℅

I = (x × 5 × 1)/100 = 0.05x

Considering the account earning 7% interest,

P = $y

T = 1 year

R = 7℅

I = (y × 7 × 1)/100 = 0.07y

The amount of interest earned in 1 year was $405. it means that

0.05x + 0.07y = 405 - - - - - - - - - -1

Substituting x = 7500 - y into equation 1, it becomes

0.05(7500 - y) + 0.07y = 405

375 - 0.05y + 0.07y = 405

- 0.05y + 0.07y = 405 - 375

0.02y = 30

y = 30/0.02

y = $1500

x = 7500 - y = 7500 - 1500

x = $6000

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2