A = P(1 +r/n)^nt
P = 500
r = 3.2% = 0.032
n = 1
t = 10
A = 500(1 + 0.032)^10
A = $685.12
Answer:
Step-by-step explanation:
-3 = -x - 2
the equation is a bit hard to read in your questions but if that is the correct equation then the slope is -1
→ a
the equation is y = mx ( where m is the slope / constant of variation )
calculate m using the gradient formula
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁) = (0, 0 ) and (x₂, y₂ ) = (4, 1) ← 2 points on the line
m =
= 
<h3>Answer:</h3>
The Slope is 
<h2>Explanation:</h2>
Notice that both the points,
and
, are on the line. So we can use those points to calculate the slope. Recall that that slope of the line
can be calculated by
if we have the points,
and
.
<h3>Calculating for the slope of the line:</h3>
Given:



The <em><u>correct answers</u></em> are:
7 mugs on each shelf; and 7 shelves for blue and 8 shelves for red.
Explanation:
To find the number of mugs that will fit on each shelf, we find the GCF (greatest common factor) of 49 and 56. To do this, we find the prime factorization of each:
49 = 7(7)
56 = 7(8)
8 = 2(4)
4 = 2(2)
56 = 2(2)(2)(7)
The only common factor is 7, so this is the GCF. This means that she needs to put 7 mugs on each shelf.
Since there are 49 blue mugs, she needs 49/7 = 7 shelves for them.
Since there are 56 red mugs, she needs 56/7 = 8 shelves for them.