Sandra's quarterly report from her investment account shows that she made a gain of $210. that gain included a one-time per year credit of $30. sandra used the equation 14(x+30)=210 to project how much money, x, her investment account will earn during the year, excluding the one-time credit. how much money will sandra's account earn during the year, excluding the one-time credit?

She will earn $15 excluding the one-time credit during the year.

Step-by-step explanation:

Since we have given that

Amount Sandra gain = $210

Gain included a one time per year credit

Amount of that one time per year credit = $30

Her equation becomes,

To project how money x her investment account will earn during the year

We need to find the amount that Sandra's account will earn during the year, excluding the one time credit

So, our equation becomes,

Hence, She will earn $15 excluding the one-time credit during the year.

addition

step-by-step explanation:

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