Answer:
x = 27
Step-by-step explanation:
AC // DE
m∠ABD ≅ m∠BDE = 72°
m∠ADB + m∠BDE + m∠EDF = 180°
2x + 72° + 2x = 180°
4x = 108°
x = 27°
Answer: his pay for the 4th year is $1453.16
Step-by-step explanation:
The landlord raises the rent 1.25% each year. It means that the rent is increasing in geometric progression.
The formula for determining the nth term of a geometric progression is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
From the information given,
a = $1,400
r = 1 + 1.25/100 = 1.0125
n = 4 years
The 4th term(year), T4 is
T4 = 1400 × 1.0125^(4 - 1)
T4 = 1400 × 1.0125^3
T4 = $1453.16
Answer:
Step-by-step explanation:
Polynomial f(x) has the following conditions: zeros of -4 (multiplicity 3), 1 (multiplicity 1), and with f(0) = 320.
The first part zeros of -4 means (x+4) and multiplicity 3 means (x+4)^3.
The second part zeros of 1 means (x-1) and multiplicity 1 means (x-1).
The third part f(0) = 320 means substituting x=0 into (x+4)^3*(x-1)*k =320
(0+4)^3*(0-1)*k = 320
-64k = 320
k = -5
Combining all three conditions, f(x)
= -5(x+4)^3*(x-1)
= -5(x^3 + 3*4*x^2 + 3*4*4*x + 4^3)(x-1)
= -5(x^4 + 12x^3 + 48x^2 + 64x - x^3 - 12x^2 - 48x - 64)
= -5(x^4 + 11x^3 + 36x^2 + 16x -64)
= -5x^3 -55x^3 - 180x^2 - 80x + 320
Answer:
12:6 or $12 for every $6 he saves
Step-by-step explanation:
If he spends $6.00 for every $3.00, he would save $6 if he spends $12. In this case you could multiple or divide 6 by any number, and do the same to 3 to get an equivalent ratio. Ex. Multiple 6 times 2 to get $12 and 3 times 2 to get $6.
