Answer:
Step-by-step explanation:
Use FOIL:<em> (a + b)(c + d) = ac + ad + bc + bd</em>
<em></em>
<em>combine like terms</em>
Answer:
14.7 mi
Step-by-step explanation:
This can be solved with the Pythagorean Theorem. This represents a triangle where the length of a is 13, b is 7, and c is unknown.
We know that , and we can plug in what we know and use algebra to solve for c.
,
169 + 49 = c^2
218 = c^2, c^2 = 218
√c^2 = √218, or c = 14.7. The length from his home to his place of work is 14.7 mi
The value of Amanda's investment will be given by:
A=P(1+r)^n
where:
Principle, P=$1000
rate,r=3.5%
time,n=4+9/12=4 3/4=4.75 years
thus
A=1000(1+3.5/100)^4.75
A=$1177.52
1) Name the variables:
A: number of model cars Andre has
P: number of model cars Peter has
J: number of model cars Jade has.
2) Statements:
<span>Andre
has 4 times as many model cars as Peter: A = 4 P
Peter has one-third as
many model cars as Jade: P = J / 3
Andre has 36 model cars: A = 36
3) Write and solve an
equation to find how many model cars Peter has.
A = 4P => A/4 = P
=> P = A / 4
=> P = 36 / 4 = 8
4) Using your answer from
part a, write and solve an equation to find how many model cars Jade has.
P = J / 3 => J = 3P
=> J = 3 (8) = 24
</span>
Given expression is
can be rewritten as
can be further rewritten as
Using Sum of infinite GP series,
So, using this,
We know,
and
<em></em>
So, using this, we get
Hence,