Can you please help me on -5(-4r-6)=5(6-r)
1 answer:
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Answer:
BC:BN=8:3
Step-by-step explanation:
ABCD is a trapezoid and there is a point m which belongs to AD such that AM:MD=3:5.Line "l" parallel to AB intersects the diagonal AC at p and BD at N.
Now, we know that the parallel lines divide the transversal into the segments with equal ratio, therefore, BN:NC=AM:MD
But, BC= BN+NC
Therefore, BC:BN=(BN+NC):BN
⇒BC:BN=(3+5):3
⇒BC:BN=8:3
Given:
• Amount to save, A = $28,000
,• Time, t = 6 years
,• Interest rate, r = 5.3% ==> 0.053
,• Number of times compounded = quarterly = 4 times
Let's find the amount that must be deposited into the account quarterly.
Apply the formula:
Where:
FV is the future value = $28,000
r = 0.053
n = 4
t = 6 years
Thus, we have:
Let's solve for P.
We have:
Solving further:
Divide both sides by 28.0384237:
Therefore, the amount that must be deposited quarterly into the account is $998.60
ANSWER:
$998.60
Answer:
Step-by-step explanation:
To write the quadratic in standard form, begin by writing it in vertex form
Where (h,k) is the vertex of the parabola.
Here the vertex is (-3,-2). Substitute and write:
To find a, substitute one point (x,y) from the parabola into the equation and solve for a. Plug in (0,7) a y-intercept of the parabola.
The vertex form of the equation is .
To write in standard form, convert vertex form through the distributive property.