$5,000 is invested at 3% interest. how much money must be invested at 5% interest so that the total interest from the two investments is $275 after one year?

He must invest $ 2500 at 5% interest.

Step-by-step explanation:

Given,

$ 5,000 is invested at 3% interest,

So, the profit after one year on $ 5000 = 3% of 5000

= 0.03 × 5000

= $ 150

Now, let x be the amount invested at 5%,

So, the profit after one year on x dollars = 5 % of x

= 0.05x

Thus, the total profit in both investment,

P = 150 + 0.05x

According to the question,

P = $ 275

⇒ 150 + 0.05x = 275

⇒ 0.05x = 125 ( subtracting 150 on both sides )

⇒ x = 2500 ( Dividing both sides by 0.05 )

Hence, he must invest $ 2,500 at 5% interest.

(d)

step-by-step explanation:

given: the line in the graph passes through points (5,30) and (6,26).

then, the equation of line is:

now, put y=a(n) and x=n,

hence, option d is correct.

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

happy to

pls mark as brainliest