Answer: 14.32 units
Step-by-step explanation:
The formula for calculate the distance between two points is:

In this case, given the points (-2,8) and (11,2), we can identify that:

Therefore, we just need to substitute values into the formula in order to calculate the distance between the given points. This is (Rounded to the nearest hundred):

Answer:
A).Amount = $218250
B). Amount = $88700
Step-by-step explanation:
A) .$5000 in an account at age 23, and withdraw it 42 years
Number of years t= 42 years
Principal P = $5000
Rate r= 9%
Number of times compounded n= 42
A= p(1+r/n)^(nt)
A= 5000(1+0.09/42)^(42*42)
A= 5000(1+0.002143)^(1764)
A= 5000(1.002143)^1764
A= 5000(43.65)
A= 218250
Amount = $218250
B).waits 10 years before making the deposit, so that it stays in the account for only 32 years
Number of years t= 32 years
Principal P = $5000
Rate r= 9%
Number of times compounded n= 32
A= p(1+r/n)^(nt)
A= 5000(1+0.09/32)^(32*32)
A= A= 5000(1+0.0028125)^(1024)
A= 5000(1.0028125)^1024
A= 5000(17.74)
A= 88700
Amount = $88700
Answer:
Compound interest is calculated by multiplying the initial principal amount by one plus the annual interest rate raised to the number of compound periods minus one
Step-by-step explanation:
i just did it
Answer:
3x + 3y
Step-by-step explanation:
The two minus signs make a plus sign. Therefore, we replace the minus signs with a plus sign, getting 3x + 3y.
Answer:
a) 0.012ft³
b)2.09 lb
c)0.791 lb
d) 0.012ft³
e) 6 inches
Step-by-step explanation:
a) To determine the volume of the shell of the jar we must determine the volume of the hollow cylinder:

Where r is the inside radius and R the outer radius.

convert to cubic ft:

The volume of the glass shell is 0.012 ft³
b) The weight of the cylinder can be determined because we have the volume and the density. Weight is defined as the product of volume and density:

The weight of the jar is 2.09 lb
c) The displacement of water is just the density of water mutliplied by the volume of the jar:#

0.791 lb of water will be displaced.
d) The volume of the water displaced is:
[tex]=0.791/62.5=0.01266
e) The jar will be fully submerged because the density of the jar is larger than water.