Kaydeen is long jumper whose personal best is 6m. Her personal best jump is 20% greater than the school's championship record. (I) what is the school's championship record?
(ii) The National record is 7.5 m. By what percentage must Kaydeen increase her personal best jump to EQUAL the national record?

The school's championship record is 5 m

Kaydeen must increase her personal best by 25%

Step-by-step explanation:

Find the school's championship record by dividing 6 by 1.2

6/1.2

= 5

So, the school's championship record is 5 m

Find the percentage that she has to increase her personal best to equal the national record, by finding the percent change

Divide the difference in the scores by Kaydeen's score

1.5/6

= 0.25

So, Kaydeen must increase her personal best by 25%

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752

the first option is the answer.