Answer:
Below
Step-by-step explanation:
● x-20 = y+20 (1)
● 2(y-22) = x+22 (2)
This is a system of simulataneous equations
Let's simplify the expressions first
● x -20 = y + 20 (1)
Add 20 to both sides
● x -20 + 20 = y+20 +20
● x = y + 40 (1)
● 2(y-22) = x+22 (2)
● 2y - 44 = x +22
Substrat 22 from both sides
● 2y-44-22 = x+22-22
● 2y -66 = x (2)
This is the new system:
● x = y+40 (1)
● x = 2y-66 (2)
Substract (2) from (1)
● x-x = y+40-(2y-66)
● y+40-2y+66 = 0
● -y +106 = 0
● y = 106
Replace y with 106 in (1)
● x = y +40
● x = 106+40
● x = 146
So the solutions are (146,106)
9; in the two pints there are eight 1/4 pints, and the extra 1/4 makes nine 1/4 pints.
Answer:
nominal rate of interest is 31.7 %
Step-by-step explanation:
given data
payment = $1000
time = 2 year
rate = 4%
CPI = 100
CPI final yer = 127.7
to find out
nominal rate of interest
solution
we know nominal rate of interest formula that is
nominal rate of interest = real interest rate + inflation rate .........1
so here inflation rate is express as
inflation rate = ( CPI final year - CPI ) / CPI × 100 ...........2
put here value
inflation rate = ( 127.7 - 100 ) / 100 × 100
inflation rate is 27.7 %
so from equation 1
nominal rate of interest = real interest rate + inflation rate
nominal rate of interest = 4% + 27.7%
nominal rate of interest is 31.7 %
Answer:
6
Step-by-step explanation:
Call pentagon p, circle c and triangle t
We have 2c + 2p = 2p + 2t + c
p = 5, t = 3 so
2c + 2(5) = 2(5) + 2(3) + c
2c + 10 = 10 + 6 + c
2c = 6 + c
c = 6
Answer: a = 2,315.5
Step-by-step explanation:
a = 2πrh+2πr²
a = 2π(9)(32) + 2π9²
a = 2π x 288 + 2π x 81
a = 1809.6 + 508.9
a = 2,315.5
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