Answer:
x = 6
Step-by-step explanation:
Alternate angles are congruent.
7x - 9 = 3x + 15 {Subtract 3x form both sides}
7x - 3x -9 = 15
4x - 9=15 {Add 9 to both sides}
4x = 15+9
4x = 24
x = 24/4
x = 6
Answers:
- interest = $75
- balance at maturity = $3075
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Explanation:
The simple interest formula is
i = p*r*t
where in this case,
- p = 3000 = principal (amount deposited)
- r = 0.10 = annual interest rate in decimal form
- t = 3/12 = 0.25 = number of years
So,
i = p*r*t
i = 3000*0.10*0.25
i = 75 is the amount of interest earned
This adds onto the initial deposit to get the final balance when the CD matures (ie when you're able to withdraw the money without penalties)
The balance at maturity is p+i = 3000+75 = 3075 dollars
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In short, you deposit $3000 into the CD and have to wait 3 months for the amount to update to $3075.
Answer:
14,28,42 and 56
Step-by-step explanation:
Multiply all lengths by 2 as the quadrilateral is dilated by a scale factor of 2
Use the cross product to find the orthogonal vector, solve the parametric equation to see at which (t) the point + orthogonal vector intersects the plane, the distance is (t) * norm of vector