Answer:
FIRST PROBLEM:
Exact Form:
x = 25
/19
Decimal Form:
x = 1.31578947
Mixed Number Form:
x = 1 6
/19
SECOND PROBLEM
Exact Form:
x = −
9 + √
106
, −
9 −
√
106
Decimal Form: x = 1.29563014
, −
19.29563014
Step-by-step explanation:
Given equation:
P=1500 (1.04)^x
When have to find x, when population, p=1900
Put value of P=1900 in above equation.
1900=1500(1.04)^x
Divide both sides by 1500
19/15=(1.04)^x
1.27=(1.04)^x
Take natural log.
ln(1.27)= ln(1.04)^x
ln(1.27)=x ln (1.04)
Divide both sides by ln (1.04)
x=6 years
Answer: 6 years
The final balance is $2,300.01.
The total compound interest is $300.01
I’m very very sorry if I’m wrong I’m not that smart
Answer: 52
Step-by-step explanation:
Formula for sample size:-

, where
= population standard deviation.
= Two -tailed z-value for
(significance level)
E= margin of error.
Given : tex]\sigma=\text{ 0.30 ounce}[/tex]
⇒Significance level for 99.6% confidence level :
By using z-value table ,Two -tailed z-value for
:

E= 0.12 ounces.
Minimum sample size will be :-

Hence, the minimum sample size for the number of packages the inspector must select = 52
(1)
we know that
centroid of any triangle is intersection of all three medians coming from vertices
so, option-D.......Answer
(8)
we know that this is a conditional statement
If earlier statement is true then the next statement is true
but reverse is not true
so, this argument is invalid
so, option-A.........Answer