Answer:
74.73%
Step-by-step explanation:
First, we're gonna find out her total amount
We're gonna use the count interest formula: P = A(1 + r)ⁿ
P = final amount
A = starting amount (1300)
r = rate (0.06)
n = years (5)
P = 1300(1 + 0.06)⁵
P = 1739.693251
Now divide the starting amount by the total amount
1300 ÷ 1739.693251 = 0.7472582
Answer:
It is not a right triangle.
Step-by-step explanation:
We can prove this by Pythagorean theorem because it represents to a right triangle.
Pythagorean theorem:
a² + b² = c²
Now substitute the values.
Note: the longest side will represent c
So,
a = 10 m
b = 16 m
c = 20 m
10² + 16² = 20²
The objective here is to make them equal.
100 + 256 = 400
356 ≠ 400
They are not equal so it is not considered a right triangle.
Answer:
t = 0.293 s and 14.52 s
Step-by-step explanation:
The heights of the ball in feet is given by the equation as follows :

Where t is the number of seconds after the ball was thrown.
We need to find is the ball 18 ft above the moon's surface.
Put S = 18 ft

It is a quadratic equation. Its solution is given by :

So, the ball is at first 0.293 s and then 14.52 s above the Moon's surface.
(-2, 0) and (0, -2)
slope = (0+2)/(-2 - 0) = -1
b = -2
slope intercept equation
y = -x - 2
compare equation from given
y - 3 = -(x + 5)
y - 3 = -x - 5
y = -x - 5 + 3
y = -x - 2 (matched slope intercept equation)
answer is A
y - 3 = -(x + 5)
Answer:
Step-by-step explanation:
8 (x -3) +7 = 2x (4 -17)
8(x -3) +7 = 2x (-13) here was the error because the had 13 that is incorrect
8x -24 +7 = -26x
8x -17 = -26x
-17 = -26x -8x
-17 = -34x
-17/-34 = x
1/2 =x