Answer:
Step-by-step explanation:
6
The equation is (7^x)^4 = (7^2 × 7^3)/ 7^3x
(7^x)^4 is equal to 7^(4x)
7^2 × 7^3 is equal to 7^(2+3) which gives 7^5
therefore;
7^5/7^3x is equal to 7^(5-3x)
Hence we get;
7^(4x)=7^(5-3x)
thus; 4x = 5-3x
7x = 5 (solving for x)
Therefore; x = 5/7
Answer:
Step-by-step explanation:
The formula for simple interest is expressed as
I = PRT/100
Where
P represents the principal
R represents interest rate
T represents time in years
I = interest after t years
From the information given
T = 8 months = 8/12 = 2/3 years
P = $3000
R = 9.3%
Therefore
I = (3000 × 9.3 × 2/3)/100
I = 18600/100
I = $186
The maturity value (in dollars) of this loan would be
3000 + 186 = $3186
Answer:
(1)0.39
(2)0.14
(3)0.21
(4)0.26
Step-by-step explanation:
John makes 35% of his free throw shots.
- The probability that John makes his shot =0.35
- The probability that John misses his shot =1-0.35=0.65
Sue makes 40% of her free throw shots.
- The probability that Sue makes her shot =0.4
- The probability that Sue misses her shot =1-0.4=0.6
(1)John and sue both miss their shots
P(John and sue both miss their shots)
=P(John miss his shot) X P(Sue misses her shot)
=0.65 X 0.6 =0.39
(2)John and Sue both make their shots
P(John and Sue both make their shots)
=P(John makes his shot) X P(Sue makes her shot)
=0.35 X 0.4=0.14
(3)John makes his shot and Sue misses hers
P(John makes his shot and Sue misses hers)
=P(John makes his shot) X P(Sue misses her shot)
=0.35 X 0.6=0.21
(4)John misses his shot and Sue makes hers
P(John misses his shot and Sue makes hers)
=P(John miss his shot) X P(Sue makes her shot)
=0.65 X 0.4 =0.26
Step-by-step explanation:
There are 4 cards less than or equal to 4.
1/6 = 4/n
n = 24
