Let
x-------> √150
so
x²=150
we know that
10²=100
11²=121
12²=144
13²=169
x²=150
so
x< 13
x> 12
12< x<13
<span>the value of x is in the interval (12,13)
</span>
----------*----------------------*----------*--------------*-------------------*------
11 12 √150 13 14
Slope Formula - (y² - y¹) / (x² - x¹)
(1, 7)
x¹ = 1
y¹ = 7
(-4, -8)
x² = -4
y² = -8
-8 - 7 = -15
-4 - 1 = -5
Simplify - -15/-5
-15/5 = -3
Your answer is -3.
Hope this Helps!!
Answer:
275 m^3
Step-by-step explanation:
The volume of a triangular pyramid is V=(1/3)Ah, where A is the area of the triangular base and h is the height.
First, let's find A, the area of the base. The area of a triangle is bh/2, where b is the base and h is the height.
In this question, 5 is the base and 15 is the height, so A=5*15/2=75/2.
Now we know A is 75/2, so let's go back to the formula for the volume of a pyramid. We are given h is 22, so
V=(1/3)(75/2)*22=275
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Answer:
total payment = $563,760
Interest = $383,760
Principal part = $66
Step-by-step explanation:
(a) total payment:
n = 30 years = 360 months
monthly payment = $1,566
Total payment = $1,566 * 360 months = $563,760
(b) interest:
Total payment = $563,760
Principal = $180,000
Total payment = Principal + Interest
Interest = Total payment - Principal
Interest = $563,760 - $180,000 = $383,760
(c) part of first payment applied to the principal:
First payment = $1,566
Principal = $180,000
Interest rate = 10% yearly = 10% / 12 = 0.8333% = 0.008333 monthly
Monthly interest = Principal * Interest rate = $180,000 * 0.008333 = $1,500
Principal part = $1,566 - $1,500 = $66
Hope this helps!
