0.06 (six percent) x 16000 = 960
interest = $960
Answer:
Step-by-step explanation:
Triangles are similar if they have the same shape, but not necessarily the same size.
in this case we have
JK/MO = KL/ON = JL/MN
A) Use properties of similar triangles.
The measurement of angle J can be derived from triangle MNO.
Corresponding angle are congruent.
Angle J in triangle JKL correspond with angle M in triangle MNO.
Therefore:
Tangent M = opp/adj
tanM = 2/1.5
tanM = 1.3
M = tan-¹ 1.3
M = 52.43
J = M = 52.43°
B) MO in △MNO corresponds to JK in △JKL
C) JK/MO = KL/ON = JL/MN
find JL using Pythagoras theorem
JL² = KL² + JK²
JL² = 4²+3²
JL = √(16+8)
JL = 5
JK/MO = KL/ON = JL/MN
= 3/1.5 = 4/2 = 5/2.5 = 2/1
Therefore the ratio of larger triangle to small triangle is 2:1
Answer:
Third option
Step-by-step explanation:
The y-intercepts are -2 and 3 so first option is wrong
One is dashed line and other is solid so one needs to have equal and other one shouldn't, so second option is wrong as both are less than but not also equal
Third option the -2 intercept one is less than or equal to And the slope is positive while the 3 intercept one is greater with negative slope.
So I'm going to assume that this question is asking for <u>non extraneous solutions</u>, or solutions that are found in the equation <em>and</em> are valid solutions when plugged back into the equation. So firstly, subtract 2 on both sides of the equation:
Next, square both sides:
Next, subtract x and add 2 to both sides of the equation:
Now we are going to be factoring by grouping to find the solution(s). Firstly, what two terms have a product of 6x^2 and a sum of -5x? That would be -3x and -2x. Replace -5x with -2x - 3x:
Next, factor x^2 - 2x and -3x + 6 separately. Make sure that they have the same quantity on the inside of the parentheses:
Now you can rewrite the equation as
Now, apply the Zero Product Property and solve for x as such:
Now, it may appear that the answer is C, however we need to plug the numbers back into the original equation to see if they are true as such:
Since both solutions hold true when x = 2 and x = 3, <u>your answer is C. x = 2 or x = 3.</u>
Answer:
75%
Step-by-step explanation:
There are 6 numbers that fit the rule, 1, 2, 3, 4, 6, 8. Since there are a total of 8 numbers, there is a 6/8 chance picking one or 75% chance.