Answer:

Step-by-step explanation:
...........
Let us say Karen received X amount of money. Then Natasha has received (X+210).
The ratio that the money divided was 2:5.
X/(X+210) = 2/5
5X = 2(X+210)
3X = 420
X = 140
Total money shared
= X+(X+210)
= 140+140+210
= 490
So the total money shared was $490.
Answer:
x=20
Step-by-step explanation:
(4x-12)+(x+2)=90
5x-10=90
5x=100
x=20
Answer:
The semi-annually compounded nominal rate at that time is 7%
Step-by-step explanation:
In order to calculate the semi-annually compounded nominal rate at that time we would have use the following formula:
PV= FV/(1+r)^n
According to the given data we have the following:
PV=$167
FV=$1,000
n=30-year, and strip bond was traded four years after it was issued, hence, n=(30-4)*2 =52
Therefore, 167= $1,000/( 1+r)^52
167/$1,000 =1/(1+r)^52
0.167 =1/(1+r)^52
r =3.50%
Therefore, The semi-annually compounded nominal rate at that time=3.50%*2
The semi-annually compounded nominal rate at that time=7%
The semi-annually compounded nominal rate at that time is 7%