Answer:
a=3, c=-4, x=8
Step-by-step explanation:
5=4a-7
4a-7=5
4a=5+7
=12
a=12÷4
=3
3-8c=35
-8c=35-3
=32
c=-32÷8
=-4
-1/2x-7=-11
-1/2x=-11+7
=-4
x=4÷1/2
=4/1×2/1
=8
Answer:
Step-by-step explanation:
Let the amount invested with 5% interest be x
Therefore, the amount invested with 6% interest will be (6000-x)
It is given that the total interest earned yearly is $337.5. Thus, the equation of interest will be:

Multiplying both sides by 100 we get:


Subtracting both sides by 36000 we get:


Thus, the amount invested at 5% is $2250
Therefore, the amount invested at 6% will be $(6000-2250)=$3750
Answer:
The difference is 4.4n−13.
Step-by-step explanation:
Answer:
6 samples
Step-by-step explanation:
Given :
Sample size, = n
Standard deviation, = 6000
Margin of Error = 2000
Confidence interval, α = 95%
Zcritical at 95% = 1.96
n = (Zcritical * σ) / margin of error
n = (1.96 * 6000) /2000
n = 11760 / 2000
n = 5.88
n = 6 samples