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She deposited two amounts, let's say "a" and "b"
"a" earning 2% interest
"b" earning 2.5% interest
the 2.5% one, is twice as much as the 2% one
so.. one can say that, whatever "a" is, "b" is twice as much,
or b = 2*a -> b = 2a
now.. .the sum of both earned interest, was $1190
so.. one can say that (2% of a) + (2.5% of b) = 1190
let' us use the decimal notation then
solve for "a" to find what the "a" amount is,
to find "b", well, "b" is "2a", so just do a 2*a to get "b"
"a" earning 2% interest
"b" earning 2.5% interest
the 2.5% one, is twice as much as the 2% one
so.. one can say that, whatever "a" is, "b" is twice as much,
or b = 2*a -> b = 2a
now.. .the sum of both earned interest, was $1190
so.. one can say that (2% of a) + (2.5% of b) = 1190
let' us use the decimal notation then
solve for "a" to find what the "a" amount is,
to find "b", well, "b" is "2a", so just do a 2*a to get "b"
The equation that represents the <em>sinusoidal</em> function is ,
.
In this question we must find an appropriate model for a <em>periodic</em> function based on the information from statement. <em>Sinusoidal</em> functions are the most typical functions which intersects a midline () and has both a maximum (
) and a minimum (
).
Sinusoidal functions have in most cases the following form:
(1)
Where:
- Angular frequency
- Angular phase, in radians.
If we know that ,
,
,
and
, then the sinusoidal function is:
(2)
(3)
The resulting system is:
(2b)
(3b)
By applying <em>inverse trigonometric </em>functions we have that:
,
(2c)
,
(3c)
And we proceed to solve this system:
,
By (2c):
The equation that represents the <em>sinusoidal</em> function is ,
.
To learn more on functions, we kindly invite to check this verified question: brainly.com/question/5245372