A total of $4000 is invested: part at 8% and the remainder at 14%. How much is invested at each rate if the annual interest is $440?

$2000 is invested at 8%

$2000 is invested at 14%

Step-by-step explanation:

A total of $4000 is invested part at 8% and the remainder at 14%

Annual interest is $440.

Simple interest formula;

I = P × R × T

Where I is the interest, P is the principal, R is the rate and T is the time.

P = $4000

R = 8% and 14%

T = 1 year

I = $440

Let's say $a is invested at 8% and;

$b is invested at 14%

Then,

($a × × 1 ) + ($b × × 1) = $440

and

$a + $b = $4000

This forms a simultaneous equation;

0.08a + 0.14b = 440 ... (i)

a + b = 4000 ... (ii)

Multiplying (i) by 1 and (ii) by 0.08  we get;

0.08a + 0.14b = 440 ... (i)

0.08a + 0.08b = 320 ... (ii)

Subtracting (i) - (ii) we get;

0 + 0.06b = 120

0.06b = 120

b = 120 ÷ 0.06 = 2000

So amount invested at 14% ($b) = $2000 and,

The amount invested at 8% ($a) = $4000 - $2000 = $2000

add a pic of the graph, then ill edit this "answer" and solve it for you : 3

step-by-step explanation:

answer: (yeees, you need a poet.)

//blooming serenity//

beautiful in the morning

mysterious at night

wonderous nature souring

with all it's mystical might

the flower that blooms

to the fox that looms

nocturnal creatures

with various features

a blooming flower soon in sight

as a new little hatchling fears to take flight  

afraid to leave it's calming nest,

but dear little bird, mother knows best

as sure as there are stars in the sky,

life is not about who, where what, when or why-

it's the journey that follows

adventures we swallow

of   nature's deep wonders,

natural disasters and storm's thunders.

blooming serenity

life and nature, truly is heavenly.

-kerstien lehman

step-by-step explanation: