Answer:
t = 2
Step-by-step explanation:
5(6t-3)=5t+35
Step 1 distribute the 5 by multiplying 5 to what is inside of the parenthesis
5(6t) - 5(3) = 5t + 35
Outcome: 30t - 15 = 5t + 35
Step 2 add 15 to both sides
30t - 15 + 15 = 5t + 35 + 15
Outcome: 30t = 5t + 50
Step 3 subtract 5t from both sides
30t - 5t = 5t - 5t + 50
Outcome: 25t = 50
Step 4 divide both sides by 25
25t/25 = 50 we're left with t = 2
Answer:
b) 35/100
c) 0.35
Step-by-step explanation:
2)
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The simplest I can put it
10^1 = 10
10^2 = 100
10^3 = 1000
(essentially the number of zeroes)
5*10^2 = 5*100 = 500 (adding 2 zeroes, or moving the decimal over 2 places
Same works for numbers smaller than zero
5*10^-2 = 5*.01 = .05 (moving the decimal to the right 2 places
Answer:
100.7%
Step-by-step explanation:
Since the interest is compounded quarterly, and there are 4 quarters per year, that would leave us with 32 quarters total where interest is acquired. Now, we need to find the interest rate, that would be required in order to end up with 420 dollars after 32 quarters.
We can setup a formula using our period of time and the money he invested into the bank:

We can divide 340 from both sides, and simplify the right side to 21 divided by 17:

Taking the 32th root of 21/17 is equal to 1.00662, which is equal to 100.0662%. To the nearest tenth of a percent, this is equal to 100.7%.
Answer:
C. (n₁ + n₂ - 2) degrees of freedom
Step-by-step explanation:
The t-test for difference between two mean when variance are equal is:

where ,
= Mean of Sample 1
= Mean of Sample 2
s = standard deviation
n_1 = size of Sample 1
n_2 = size of Sample 2
and t is Student's t-test with (n₁ + n₂ - 2) degrees of freedom.