Answer:
a = 40
Step-by-step explanation:
This is a multi-step equation using the distributive property and rational coefficents (fractions). The first step is to complete the distributive property on both sides of the equation and multiply each term in the expression in parenthesis by the constant on the outside. (3/4 x 2a) - (3/4 x 6) +1/2 = (2/5 x 3a) + (2/5 x 20). When we multiply and simplify, we get 3/2a - 9/2 + 1/2 = 6/5a + 8. Next step is to combine like terms: 3/2a - 8/2 = 6/5a +8. We then need to isolate the variable by using inverse operations: 3/10a = 12, then solve for 'a' by multiplying both sides by the reciprocal (10/3) to get a = 40.
• 108 total plastic chips
• #chip > 44 = 108 - 44 = 64 chips
• 64 chips / 108 chips total
• That simplifies to: 16/27 probability
Answer:
Step-by-step explanation:
Remark
An altitude is a very special line. It must start from one of the angles and connect with the side opposite that angle. The connection must form a right angle.
It cannot start anywhere else -- certainly not in the middle of a line which would make the altitude of random importance. It could not be accurately reproduced.
Answer:
after 8years
Step-by-step explanation:
Complete question;
In what time will Rs 10000 will yield a compound interest of Rs 2769 at 3% per annum
Using the compound interest formula;
A =P(1+r)^n
Given
P = Rs10000
A = 10000+2769
A = 12769
rate = 3% = 0.03
Substitute and get the time t
12769 = 10000(1+0.03)^n
12769/10000 = 1.03^n
1.2769 = 1.03^n
log 1.2769 = nlog1.03
n = log 1.2769/log 1.03
n = 0.1062/0.01283
n = 8.27
Hence the time is approximately after 8years
