Paul needs to invest $10000 at 6% interest and $30000 at 10% interest to make a total of 9% return on his $40000.
<em><u>Explanation</u></em>
Suppose, the amount of money at 6% interest is
As Paul has total $40000 to invest, so the amount of money at 10% interest will be: 
His intent is to earn 9% interest on his $40000 investment. So, the equation will be......

So, Paul needs to invest <u>$10000 at 6% interest</u> and ($40000- $10000) or <u>$30000 at 10% interest </u>to make a total of 9% return on his $40000.
Answer:
263.08 m²
Step-by-step explanation:
The fraction of circle area that a sector represents is proportional to the central angle.
<h3>Proportion</h3>
circle area/circle angle = sector area/sector angle
circle area / 360° = 85.5 m² / 117°
Multiplying by 360°, we have ...
circle area = (360/117)(85.5 m²) = 263.08 m²
The area of the circle is about 263.08 m².
Answer:
(g · f)(4) = 45
Step-by-step explanation:
f(x)=4x+1
g(x)=x² - 4x- 5
(g · f)(x) = 4(x² - 5) + 1
(g · f)(4) = 4(4² - 5) + 1
Following pemdas
(g · f)(4) = 4(16 - 5) + 1
(g · f)(4) = 4(11) + 1
(g · f)(4) = 44 + 1
(g · f)(4) = 45
Answer:
A' (-2,8) B' (-2,-4) C' (4,-4)
Step-by-step explanation:
Dilations Rule :
(x,y) → (kx,ky)
Scale factor = K
When your scale factor is more than one our triangle gets bigger. When your scale factor is less than one our triangle gets smaller.
( you plug in 2 in every point and those are your answers).
Remember negative times negative is positive and positive times negative is negative.
Answer:
24
Step-by-step explanation:
1/2(x1+x2)c x1=3 , x2=5 , c=6
:- 1/2(3+5)6 ( BODMAS)
:- 1/2(8)6 divide 8 by 1/2
:- (4)6 multiply both of them and the result = 24