Answer:
Its 1 million
Step-by-step explanation:
Number 19
price :$16
pay :10%
ask:each monthly payment
answer:
pay =10%×$160=$16
each monthly payment
={$160-$16}÷6
144÷6
$24
number 20
weight earth:150 pounds
ratio :5:7
weight neptune :7/5×150=210 pounds
Answer:50 cents. $5
Step-by-step explanation: each pound of sugar costs 50 cents. you can find that out by dividing the amount of sugar you have by the cost.
Let Cynthia's age be C, then Abigail's age A
since Abigail is 8 years older, her age A = C+8.
20 years ago Cynthia's she was C-20 and Abigail was A-20=3(C-20)
A-20=3C-60
A=3C-40
but we just said A=C+8
so 3C-40=C+8
2C=48
C=24
A=24+8=32
Cynthia's age is 24 and Abigail's age is 32
A function
is periodic if there is some constant
such that
for all
in the domain of
. Then
is the "period" of
.
Example:
If
, then we have
, and so
is periodic with period
.
It gets a bit more complicated for a function like yours. We're looking for
such that
Expanding on the left, you have
and
It follows that the following must be satisfied:
The first two equations are satisfied whenever
, or more generally, when
and
(i.e. any multiple of 4).
The second two are satisfied whenever
, and more generally when
with
(any multiple of 10/7).
It then follows that all four equations will be satisfied whenever the two sets above intersect. This happens when
is any common multiple of 4 and 10/7. The least positive one would be 20, which means the period for your function is 20.
Let's verify:
More generally, it can be shown that
is periodic with period
.