<u>Answer</u>
59°
<u>Explanation</u>
There are 2 parallel line and one transverse.
Angles in a straight line add up to 180°
∴ 180 - (2a + 3) = 180 - 2a -3
= 177 - 2a
The angle (177 - 2a) corresponds to angle a in the diagram. The two corresponding angles are equal.
∴ 177 - 2a = a
177 = a + 2a
3a = 177
a = 177/3
= 59°
1 Simplify
4
.
5
+
1
.
6
9
4.5+1.69 to
6
.
1
9
6.19.
6
.
1
9
=
9
.
5
2
6.19=9.52
2 Since
6
.
1
9
=
9
.
5
2
6.19=9.52 is false, there is no solution.
No Solution
Done
Answer:
she is wrong, offer 2 results in lower interests
Step-by-step explanation:
total amount paid if offer 1 is accepted:
$6,000 x (1 + 3%)² = $6,000 x 1.0609 = $6,365.40
she will pay $365.40 in interests
total amount paid if offer 2 is accepted:
($6,000 x 1.01) x 1.05 = $6,060 x 1.05 = $6,363
she will pay $363 in interests
Compounding interest refers to interest that earns more interest itself, e.g. in the first offer, the $180 of interests charged for the first year will earn $5.40 in extra interests. While offer 2 only charges $60 in interests during the first year which will in turn earn $3 of interests. The difference between both offers is that interest charges in offer 1 earn more interests than the interest in offer 2 = $5.40 - $3 = $2.40
For this case, the first thing we must do is define a variable.
We have then:
x: number of weeks
y: amount of cereal that Melanie eats
We now write the function that models the problem:
Then, for 5 weeks we have:
Answer:
A model that best represents the number of pounds of cereal she eats is:
For 5 weeks we have:
100 is the correct answer to your question
