Answer:
1) 250 meters= 0.25 km
2) 12 meters= 0.012km
3) 1 meter= 0.001 km
The constant of proportionality is 1000 meters in 1km (1000 meters)
I think there’s a mistake on the second part because 1 meter does not equal to 1000km. but I did part 1 for you!
Answer:
Step-by-step explanation:
Each successive year, he
earned a 5% raise. It means that the salary 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(amount earned in the first year).
r represents the common ratio.
n represents the number of terms(years).
From the information given,
a = $32,000
r = 1 + 5/100 = 1.05
n = 20 years
The amount earned in his 20th year, T20 is
T20 = 32000 × 1.05^(20 - 1)
T20 = 32000 × 1.05^(19)
T20 = $80862.4
To determine the his total
earnings over the 20-year period, we would apply the formula for determining the sum of n terms, Sn of a geometric sequence which is expressed as
Sn = (ar^n - 1)/(r - 1)
Therefore, the sum of the first 20 terms, S20 is
S20 = (32000 × 1.05^(20) - 1)/1.05 - 1
S20 = (32000 × 1.653)/0.05
S20 = $1057920
The answer is c have a good day
Answer:
Building B, it is around 16 35 feet taller than building A ( C )
Step-by-step explanation:
<u>Calculating the height of Building A </u>
Height = opposite ( ? )
∅ = 73°
base/adjacent = 30 ft
∴ Height = Tan 73° * base
= 3.2709 * 30 = 98.127 ft
<u>Calculating the height of building B </u>
∅ = 73°
base/adjacent = 35 ft
∴ height = Tan 73° * base
= 3.2709 * 35 = 114.4815
Therefore we can say Building B is Taller by approximately 16.35 feet
