Given that <span>Nelson took out a home loan that compounds interest semiannually, and the following expression represents the payable amount after t years.
150,000(1.102)^2t
which follow the formal for compound interest given by:
A=P(1+r/n)^tn
where:
A=future amount
P=principle
r=rate
n=number of terms
t=time
in our example:
</span>1+r/n=1.012
this implies that:
r/n=0.012
number of terms=2 (it's semiannual)
thus
r/(2)=0.012
hence
r=0.012*2
r=0.024
hene
thus the answer is:
r=0.024~2.4%
Answer:
Value of given expression x is -4
Step-by-step explanation:
Given equation in question;
4 + 2|3x + 4| = -4
Find:
Value of given expression
Computation:
4 + 2|3x + 4| = -4
Using BODMAS rule;
⇒ 4 + 2|3x + 4| = -4
⇒ 2|3x + 4| = - 4 - 4
⇒ 2|3x + 4| = - 8
⇒ |3x + 4| = - 8 / 2
⇒ |3x + 4| = - 4
⇒ 3x + 4 = - 8
⇒ 3x = -8 - 4
⇒ 3x = -12
⇒ x = -12 / 3
⇒ x = -4
Value of given expression x is -4
Answer:
The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.
Answer:
5/0.30=6
Step-by-step explanation:
So, you have five dollars, each pencil is thirty cents, divide five by point three zero to find how many pencils he can buy. Since you cannot buy a fraction or part of a pencil you only give the whole number part of your answer, 16
Answer:
837 miles
Step-by-step explanation:
Since they are on the same longitudinal line we can treat it just like a circle of radius 4000 miles, since the circles making of the longitude stay the same on a sphere. if they had the same latitude we would need an extra step of figuring out that particular circle's radius.
Now, on a circle of radius 4000 there is one point at 50 degrees on the circle and anther at 38 degrees, so now we find the arc length.
Arc length is basically taking a fraction of the circumference. if we went half way around the circle the arc length would be half the circumference. a tenth of the way makes a tenth of the circumference.
We go from 38 to 50 which is 12 degrees. out or 360 total this is 1/30 of the full circumference.
The circumference is 2*pi*r = 2*3.14*4000. so we want 1/30 of that, which means we divide it by 30.
2*3.14*4000/30 837.33 so to the nearest mile is just 837