Answer:
Diapers costs $11 and formula is $13.
Step-by-step explanation:
Let's name diapers as A and formula as B.
Simply the equations:
1A + 2B = $37(1)
2A + 5B = $87(2)
Clear D from one equation.
A = $37 - 2B(1)
Replace D into the other equation.
2*($37 - 2B) + 5B = $87(2)
$74 - 4B + 5B = $87
$74 + B = $87
B = $87 - $74 = $13
Find A, now knowing B.
A = $37 - 2($13)
A = $37 - $26 = $11
Answer:
short story has 32 pgs
novel has 416 pgs
Step-by-step explanation:
a novel (N) has 13 times as many pages as a short story (x) so, N = 13X
total pages is the equation N + x = 448
plug the equation for N into this
13x + x = 448, combine like terms
14x = 448, divide both sides by 14
x = 32. so now we know that the short story has 32 pages. subtract that from 448. and the novel has 416 pages.
Answer:
<u>Equation</u>: 
<u>The balance after 5 years is: $1742.43</u>
<u></u>
Step-by-step explanation:
This is a compound growth problem . THe formula is:

Where
F is future amount
P is present amount
r is rate of interest, annually
n is the number of compounding per year
t is the time in years
Given:
P = 1500
r = 0.03
n = 12 (compounded monthly means 12 times a year)
The compound interest formula modelled by the variables is:

Now, we want balance after 5 years, so t = 5, substituting, we get:

<u>The balance after 5 years is: $1742.43</u>
Answer:
Required rule for
is
.
Step-by-step explanation:
Given that,

From the question: we have to write the
term of Arithmetic sequence.
Arithmetic Sequence or Arithmetic progression (A.P) : It is a sequence which possess that difference between of two successive sequence is always constant.

where,
is the first term of A.P
is the common difference.
is the last term or general term.
The above sequence to be in A.P then their common difference should be equal.

Now, Formula of General Term is 
So, 
Substituting the value of
we get,

Then General term (
) of given data is

Therefore, Required rule for
is
.
Answer:
The scale factor represents a proportional relationship between the scale drawing and the building’s dimensions. If the dimensions change, then the scale factor must also change to preserve the relationship.
Step-by-step explanation: