1- 13 or -13 (B)
2- -5 < y < -3 (A)
3- t = 6 or -6 (B)
Hope this helps you =)
Ralph chase invested $85000 at an interest of 10% and $70000 at an interest of 8%
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.
Let a represent the amount invested at interest of 10% and b represent the amount invested at 8%, hence:
a + b = 155000 (1)
Also:
0.1a + 0.08b = 14100 (2)
From both equations:
a = 85000, b = 70000
Ralph chase invested $85000 at an interest of 10% and $70000 at an interest of 8%
Find out more on equation at: brainly.com/question/2972832
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Answer:
angle 1 = 120 degree
Step-by-step explanation:
75 degree + 45 degree = angle 1 (sum of two opposite interior angles is equal to the exterior angle formed)
120 degree = angle 1
Answer:
cot∅ = (-2√30)/7.
Step-by-step explanation:
Given the value of csc∅ = -13/7 and ∅ is in quad III.
We know y = r sin∅ and r > 0. So csc∅ = r/y = -13/7 = 13/(-7).
It means y = -7, r = 13.
We know x² + y² = r².
x² = r² - y²
x² = (13)² - (-7)² = 169 - 49 = 120.
x = √120 = 2√30.
we know cot∅ = x/y = (2√30)/(-7) = (-2√30)/7.
Hence, cot∅ = (-2√30)/7.
