Marco has $8,000 to save for his daughter’s college education. he wants to divide it between account a, which pays 3.2% interest per year, and account b, which pays 8% interest per year. how much should he invest in each account if he wants the interest on the total investment to be 6.5%?

In account A = $ 2,500

In account B = $ 5,500

Step-by-step explanation:

Here, total investment = $ 8000

Let he invested x dollars in Account A,

⇒ His investment in account B = ( 8000 - x ) dollars

Since, Account A pays 3.2% interest per year,

Thus, the total amount by A after a year

=

= x ( 1 + 0.032 )

= x (1.032)

Similarly, Account B pays 8% interest per year,

Thus, the total amount by B after a year

=  

= (8000-x) ( 1 + 0.080 )

= (8000-x) (1.08)

Hence, the total amount by both account = x(1.032)+(8000-x)(1.08)

But, According to the question,

he wants the interest on the total investment to be 6.5%

Thus, the amount he want after one year by both accounts

= 8000 (1+0.065) = 8000 (1.065)

⇒ x (1.032) + (8000-x) (1.08)=8000 (1.065)

⇒ 1.032 x + 8000×1.08 - 1.08 x = 8000× 1.065

⇒ −0.048 x + 8640 = 8520

⇒ - 0.048 x = - 120

⇒ x = 2500

Hence, Investment in account A = x =  $ 2500

And, Investment in account B = 8000 - x = 8000- 2500 = $ 5500

3x + 4y -25 =0 represents the amount of change sianna should recieve

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.