Aretiree receives $5120 a year interest from $40,000 placed in two bonds, one paying 14% and the other 12%. how much is invested in each bond? 3)

Investment in first bond is $ 16,000

In second bond is $ 24,000

Step-by-step explanation:

Let x be the amount invested in first bond,

Since, the total invested amount = $ 40,000,

So, the total amount invested in second bond = ( 40,000 - x ) dollars,

Given,

In first bond,

Interest rate = 14%,

While in second bond,

Interest rate = 12%,

Thus, the total interest from both bonds in a year,

I = 14% of x + 12% of ( 40,000 - x )

According to the question,

I = $ 5120,

Hence, the amount invested in first bond = $ 16,000,

The amount invested in second bond = $ 40,000 - $ 16,000 = $ 24,000

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)