The ratio of boys to girls is 5:7. If there are 48 students in a school play, how many more girls than boys are in the play?
1 answer:
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Answer: b. $3,374.65
Step-by-step explanation:
The exponential equation of growth (continuously) is given by :-
, where A is the initial amount, r is the rate of growth ( in decimal) and x is the time period.
Given : You invest $2,500 in an account that grows 5% each year.
i.e. A= $2,500 and r= 5%=0.05
Then, the equation model this situation will be :-
Now, At x= 6
Hence, the investment amount after 6 years will be $3,374.65.
(A) <em>f(x)</em> = 7 is constant, so <em>f(x</em> + <em>h)</em> = 7, too, which makes <em>f(x</em> + <em>h)</em> - <em>f(x)</em> = 0. So <em>f'(x)</em> = 0.
(B) <em>f(x)</em> = 5<em>x</em> + 1 ==> <em>f(x</em> + <em>h)</em> = 5 (<em>x</em> + <em>h</em>) + 1 = 5<em>x</em> + 5<em>h</em> + 1
==> <em>f(x</em> + <em>h)</em> - <em>f(x)</em> = 5<em>h</em>
Then
(C) <em>f(x)</em> = <em>x</em> ² + 3 ==> <em>f(x</em> + <em>h)</em> = (<em>x</em> + <em>h</em>)² + 3 = <em>x</em> ² + 2<em>xh</em> + <em>h</em> ² + 3
==> <em>f(x</em> + <em>h)</em> - <em>f(x)</em> = 2<em>xh</em> + <em>h</em> ²
(D) <em>f(x)</em> = <em>x</em> ² +<em> </em>4<em>x</em> - 1 ==> <em>f(x</em> + <em>h)</em> = (<em>x</em> + <em>h</em>)² + 4 (<em>x</em> + <em>h</em>) - 1 = <em>x</em> ² + 2<em>xh</em> + <em>h</em> ² + 4<em>x</em> + 4<em>h</em> - 1
==> <em>f(x</em> + <em>h)</em> - <em>f(x)</em> = 2<em>xh</em> + <em>h</em> ² + 4<em>h</em>