Someone plz help been stuck on this question for the last 2 hours Paul has $30,000 to invest. His intent is to earn 11% interest on his investment. He can invest part of his money at 7% interest and part at 13% interest. How much does Paul need to invest in each option to make a total 11% return on his $30,000?
7% interest =$?

13% interest =$?

Step-by-step explanation:

First find out what an 11% return on $30,000 is.

= 11% * 30,000

= $3,300

Use simultaneous equations.

Assume the amount to be invested in to make a 7% interest is x and the amount for a 13% interest is y.

0.07x + 0.13y = 3,300

x + y = 30,000

y = 30,000 - x

0.07x + 0.13 (30,000 - x) = 3,300

0.07x + 3,900 - 0.13x = 3,300

0.07x - 0.13x = 3,300 - 3,900

-0.06x = -600

x = -600 / -0.06

x = $10,000

y = 30,000 - x

= 30,000 - 10,000

y = $20,000

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for