Answer:
x=7
Step-by-step explanation:
ln x +ln(x+1)=ln 56
ln x(x+1)=ln 56
so x(x+1)=56
x^2+x-56=0
(x+8)(x-7)=0
x= -8 or x=7
and lnx,x>0
so x=7
Answer:
Step-by-step explanation:
Because CB = 6 cm, we can find CD
Use Triangle CDB.
<BCD = <BCA - <ACD
<BCD = ?
<BCA = 90
<ACD = 60
<BCD = 90 - 60
<BCD = 30
Cos 30 = CD / CB
CD = Cos(30) * BC
CD = 5.196 cm
<A = 90 - ACD
<ACD = 60
<A = 90 - 60
<A = 30
Sin(<A) = CB / AB
AB = CB / sin(<A)
AB = 6 / 0.5
AB = 12
Area =1/2 CD * AB
Area = 1/2 * 5.196 * 12
Area = 31.18
If 100 miles = 1 in.
650 = 6.5 x 100 and 6.5 x 1 = 6.5
so, if the journey is 650 m...... the map is 6.5 in.
Answer:
The exact interest on $5,870 at 12% is $410.9
Step-by-step explanation:
From the information provided we know that
Principal amount: $5,870
Interest rate: 12% -> 0.12
Time: 7 months (From June to December)
When you know the principal amount, the rate, and the time, the amount of interest can be calculated by using the formula:

where P is principal, r is the rate of interest and t is the time in years.
We need to convert the 7 months into 1 year.

Now we can use the above formula

Therefore the exact interest on $5,870 at 12% is $410.9