X - initial investment
8% - annual rate
x·=15,000,
so x = 10094.54
ANSWER: $10,094.57
<h2><u>
Answer:</u></h2>
Natalie has a total of <u>40 marbles.</u>
<u />
<h2><u>
Step-by-step explanation:</u></h2>
If 4 of Paiges' marbles are green, then we would write this as the ratio
<u>4:16</u>, or <u>1:4</u>
This means that for every green marble she has, she has 4 total marbles
Therefore, if Natalie has 10 green marbles, we would multiply this by 4 to get a total of <u>40 marbles.</u>
Answer:
Ground speed = 131.25 km/h
Bearing = 92.68º
Step-by-step explanation:
If we imagine a triangle to depict the question with one side 134 km/h at an angle of 78º to the right of vertical (the plane's speed vector).
At the end, we have a line 21 km/h at an angle of 180 (from north), a vertical down from the end of the plane's vector. This vertex is angle B
This makes a triangle with the interior angle B of 78º.
The 3rd side is the ground speed which we can find using the Cosine rule:
b² = a² + c² - 2•a•c•cos(78)
b² = 134² + 21² - 2•134•21•cos(78)
b² = 17226.873
b = 131.25 km/h
The true course bearing" is the ground track. Thus;
Using the Sine rule to find angle A, we have;
(sin(A))/34= sin(78)/b
Thus,
sin(A) = (34 x sin(78))/131.25
sin(A) = 0.2534
A = sin^(-1)0.2534
A = 14.68º
Ground track = A + 78 = 14.68 + 78 = 92.68º
2 1/8=2.125 and 3 3/8=3.375 then let x represent the amount of money that he payed for felt. Next 2.125+3.375=5.5 then
x=5.5*1.5
x=8.25
Enjoy!=)
