Answer:
In the account that paid 6% Susan invest 
In the account that paid 5% Susan invest 
Step-by-step explanation:
we know that
The simple interest formula is equal to
where
I is the Final Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
Part a) account that paid 6% simple interest per year
in this problem we have
substitute in the formula above
Part b) account that paid 5% simple interest per year
in this problem we have
substitute in the formula above
we know that

substitute and solve for x




therefore
In the account that paid 6% Susan invest 
In the account that paid 5% Susan invest 
2=log(3x+4)
y = loga b a^y = b
since this is base 10
10^2 =3x+4
100 = 3x+4
subtract 4 from each side
96 =3x
divide by 3
32=x
Answer:
8\sqrt{2}\ units.
Step-by-step explanation:
Use the trignometric property.
sin\theta = \frac{Perpendicular}{Hypotenuse}
Perpendicular = 8
Hypotenuse = h
\theta = 45^{\circ}
sin\ 45^{\circ} = \frac{1}{\sqrt{2}}
\frac{1}{\sqrt{2}} = \frac{8}{h}
h = 8\sqrt{2}\ units
Hope I helped you! x
The formula of a midpoint of a segment AB:

We have:
H(10; 1); K(4; 7)
substitute:

Answer: (7, 4)