9514 1404 393
Answer:
3.67 years
Step-by-step explanation:
The amount is found using the compound interest formula.
A = P(1 +r/n)^(nt)
for principal P invested at annual rate r compounded n times per year for t years.
We can solve this for t:
A/P = (1 +r/n)^(nt) . . . . divide by P
log(A/P) = (nt)log(1 +r/n) . . . . take the logarithm
t = log(A/P)/(n·log(1 +r/n)) . . . . divide by the coefficient of t
Filling in the given values, we find ...
t = log(12000/10000)/(4·log(1 +0.05/4)) ≈ 3.6692
It will take about 3.67 years for the balance to reach $12,000.
Substitute in the 3 points to find the values.
<span>P(0,8) = 3(0) + 2(8) = 16 </span>
<span>P(5,4) = 3(5) + 2(4) = 15 + 8 = 23 </span>
<span>P(9,0) = 3(9) + 2(0) = 27 </span>
<span>Therefore (9,0) is the maximum value. </span>
Answer:
x = -27
Step-by-step explanation:
Step 1 :
Equation at the end of step 1 :
(5 • (x + 3)) - 4 • (x - 3) = 0
Step 2 :
Equation at the end of step 2 :
5 • (x + 3) - 4 • (x - 3) = 0
Step 3 :
Equation at the end of step 3 :
x + 27 = 0
Step 4 :
Solving a Single Variable Equation :
4.1 Solve : x+27 = 0
Subtract 27 from both sides of the equation :
x = -27
One solution was found :
x = -27
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Answer:
There are six important properties of parallelograms to know:
Opposite sides are congruent (AB = DC).
Opposite angels are congruent (D = B).
Consecutive angles are supplementary (A + D = 180°).
If one angle is right, then all angles are right.
The diagonals of a parallelogram bisect each other.
Each diagonal of a parallelogram separates it into two congruent triangles.
Step-by-step explanation:
(12.50*40)+((12.50*1.5)*6)=$612.50 pay this week
