What are the measurements of angles x,y,z & w? Thank you<3
2 answers:
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Answer:
slope =
Step-by-step explanation:
Calculate the slope m using the slope formula
m =
with (x₁, y₁ ) = (5, 3 ) and (x₂, y₂ ) = (9, 6 )
m = =
Answer:
$9000 at 4$
and
$10000 at 8%
Step-by-step explanation:
Let's assume that "x" is the amount deposited in the 4% account and "y" is the amount deposited in the 8% account.
Recall the formula for interest as :
where I is the interest, R is the annual rate of interest and t is the number of years.
Since there are two investments, we need to add both interests at the end of the one year: I1 = x (0.04) (1) = 0.04 x and I2 = y (0.08) (1) = 0.08 y
Total Interest = Interest (from the 4% account) + Interest (from the 8% account)
Total Interest = $1160 = 0.04 x + 0.08 y
we also know that the total invested (x + y) adds to $19,000, that is:
$19,000 = x + y
Then we can solve these system of two equations by substitution, for example solving for y in the second equation and using the y substitution in the first equation;
y = 19000 - x
1160 = 0.04 x + 0.08 (19000 - x)
1160 = 0.04 x + 1520 - 0.08 x
0.08 x - 0.04 x = 1520 - 1160
0.04 x = 360
x = 360/0.04 = $9000
Then the other investment was : y = $19000 - $9000 = $10000
(D) 33 feet
<u>Explanation:</u>
Given:
Height of the tree, h = 22 feet
angle, θ = 42°
Length of the ladder, l = ?
We know:
sin θ = Perpendicular / hypotenuse
So,
Sin θ = height of the tree / length of the ladder
l = 32.84 feet ≈ 33 feet
Therefore, the length of the ladder be to reach the top of the apple tree is 33 feet.