Hi there!
If Andrea bought 12 bagels and 2/3 were multigrain we can determine what the total amount of bagels that are multigrain by finding a common denominator. We can do this by multiplying 2/3 * 4 which gets us the common denominator we need.
2/3 * 4 <--- Equation
8/12 <--- Simplified from step 1.
Therefore 8 out of the 12 bagels Andrea bought were multigrain!
Answer:
see explanation
Step-by-step explanation:
(1)
(a)
sin(a) = 
= 
(b)
cos(a) = 
= 
(c)
tan(a) = 
= 
----------------------------------------------------
(2)
(a)
sin(b) = =
(b)
cos(b) = =
(c)
tan(b) = = 
To substitute, solve for one variable and then plug it into the other equation you have. In this problem, y is already solved for on the top equation (y=x+2), so you just stuff it into the second equation.
y = x + 2
3y = 4x - 2
3(x + 2) = 4x - 2
3x + 6 = 4x - 2
-x = -8
x = 8
y = x + 2 = 8 + 2 = 10
solution:
x = 8
y = 10
hope this helps!! :)
C) 225m
Explanation:
Looking at the board we see each side is 25m in length. Each side has 5 squares, therefore the length of one side of each square is 5m (25m/5=5).
Let’s count how many full squares there are. There’s 5 completely full squares (one in the middle, and one on each of the four edges).
There’s also half-full squares which we COULD calculate separately using the area of a triangle. However, we know that two halves make one full square so let’s count how many full blocks these make up. There’s 8 triangles (or half full squares), therefore there are 4 full squares.
Adding this to the clearly full blocks shows 4+5=9. There are 9 fully shaded squares. The area of a square is A=s x s (Area = length of side x length of side). Therefore, one square’s area is 5x5=25m^2. The area of 9 squares is 25 x 9 = 225m^2.
Therefore the answer is C
The total amount he would have at 69 is $343,347.81.
<h3>What is the total amount saved?</h3>
The formula that can be used to determine the future value of the deferred annuity is:
Future value = annuity factor x monthly deposit
Annuity factor = {[(1+r)^n] - 1} / r
Where:
- r = interest rate = 5.5 /2 = 2.75%
- n = number of payments = 2 x (69 - 24) = 90
Amount he would save every 6 months:
- amount saved per day = $2.50 x 2 = $5
- Amount saved per month : $5 x 30 = $150
- Amount saved every 6 months = $150 x 6 = $900
Future value : 900 x {[(1.0275^90) - 1] / 0.275}= $343,347.81
To learn more about annuities, please check: brainly.com/question/24108530
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