Solve for p:
p/8 + 3/8 = 25/8
p/8 + 3/8 = (p + 3)/8:
(p + 3)/8 = 25/8
Multiply both sides of (p + 3)/8 = 25/8 by 8:
(8 (p + 3))/8 = (8×25)/8
(8×25)/8 = (8×25)/8:
(8 (p + 3))/8 = (8×25)/8
(8 (p + 3))/8 = 8/8×(p + 3) = p + 3:p + 3 = (8×25)/8
(8×25)/8 = 8/8×25 = 25:
p + 3 = 25
Subtract 3 from both sides:
p + (3 - 3) = 25 - 3
3 - 3 = 0:
p = 25 - 3
25 - 3 = 22:
Answer: p = 22
Answer:
30
Step-by-step explanation:
Let f be the fraction invested at 10%. So (1-f) is the fraction at 7%. After one year the interest is
664 = 8200 f (.10) + 8200 (1-f) (.07) = 8200(.03)f + 8200(.07)
f = (664 - 8200(.07))/(8200(.03)) = .3659 = 36.59 %
Answer: 36.59%
Check:
8200(.3659)*.1 + 8200(1-.3659)*.07 = 664.01 good
Tan(30°) = 17/x
x = 17/tan(30°) = 17√3
The hypotenuse of the smaller triangle is as you show, 34.
sin(45°) = 34/y
y = 34/sin(45°) = 34√2
x = 17√3
y = 34√2
Answer:
Interest rate=9%
Step-by-step explanation:
Interest rate=$3150×100%/$35000×1
Rate=315000/35000=9%