Ages of Dan and Cary are 29 and 33 respectively.
<u>Step-by-step explanation:</u>
Step 1:
Form equations out of the given details. Let the age of Dan be x, then age of Cary is x + 4.
In 7 years, sum of their ages = 76
⇒ (x + 7) + (x + 4 + 7) = 76
⇒ 2x + 18 = 76
⇒ 2x = 58
⇒ x = 29
Step 2:
Calculate age of Cary.
⇒ x + 4 = 33
Answer:
0.75 or 3/4
Step-by-step explanation:
1/4 of 3 would still end up to be 3/4 or as a decimal it would be .75
Answer:
Yes; James got 76 answers correct
Step-by-step explanation:
Round 1: 50 x 0.8 = 40
Round 2: 40 x 0.75 = 30
Round 3: 30 x 0.2 = 6
40 + 30 + 6 = 76
Answer: the expected population of the city in 30 years is 5470781
Step-by-step explanation:
The population growth is exponential. The growth rate is exponential. We would apply the formula for exponential growth which is expressed as
A = P(1 + r)^t
Where
A represents the population after t years.
t represents the number of years.
P represents the initial population.
r represents rate of growth.
From the information given,
P = 3.5 × 10^6
r = 1.5% = 1.5/100 = 0.015
t = 30 years
Therefore,
A = 3.5 × 10^6(1 + 0.015)^30
A = 3.5 × 10^6(1.015)^30
A = 5470781
Answer:
The length of DE is 5 because they are similar triangle .
