Answer:
Henri invested $ 4,500 in bonds and $ 19,500 in stocks.
Step-by-step explanation:
Given that Henri has $ 24000 invested in stocks and bonds, and the amount in stocks is $ 6000 more than three times the amount in bonds, to determine the amount that Henri invested in stocks (S) and the amount he invested in bonds (B), the following calculations must be performed:
6000 + 3B + B = 24000
3B + B = 24000 - 6000
4B = 18000
B = 18000/4
B = 4500
S = 6000 + 3x4500
S = 6000 + 13500
S = 19500
Thus, Henri invested $ 4,500 in bonds and $ 19,500 in stocks.
Answer:
34.54 
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Height (h) = 3.7 km
Base radius (r) = 3 km
We can calculate the volume of mountain by using following formula,
So, volume of cone = (1/3)π
h
By putting the value in the formula, we get
= (1/3) π ×
× 3.7
= 11.1π
= 34.54 
Hence, the volume of the mountain is 34.54
.
Answer:
x = 11
Step-by-step explanation:
x + (x - 2) = 20
2x - 2 = 20
2x - 2 + 2 = 22 + 2
2x = 22
x = 11
Answer:
$119520
Step-by-step explanation:
Given: Purchase price of Diamond ring= $12000
Value of ring increase by 32% each year.
First finding number of year between 2012 and 2040, to know the time period of value appreciation.
Time period=
∴ Time period of value appreciation is 28 years.
Now, finding the value of diamond ring increased after 28 years.
Value of ring increased after 28 years= 
∴ Increased value of diamond ring after 28 years= $107520
Next, Value of diamond ring after 28 years= 
Hence, value of diamond ring in 2040 is $119520