Answer:
<h3>
x = 6</h3><h3>
</h3>
Step-by-step explanation:
use Pythagorean theorem:
a² + b² = c²
where a = 2
b = x/2
c = √13
<u>plugin values into the formula:</u>
2² + (x/2)² = (√13)²
4² + <u>x² </u>= 13
4
16 + x² = 13 (4)
x² = 52 - 16
x = √36
x = 6
Answer:
11 pennies and 9 nickels
Step-by-step explanation:
Set up a system of equations where p is the number of pennies and n is the number of nickels:
p + n = 20
0.01p + 0.05n = 0.56
Solve by substitution by rearranging the first equation:
p + n = 20
p = 20 - n
Then, plug this in as p into the second equation, and solve for n:
0.01p + 0.05n = 0.56
0.01(20 - n) + 0.05n = 0.56
0.2 - 0.01n + 0.05n = 0.56
0.2 + 0.04n = 0.56
0.04n = 0.36
n = 9
Then, plug this into the first equation to solve for p:
p + n = 20
p + 9 = 20
p = 11
So, Jayden has 11 pennies and 9 nickels
A is .898 B is 1 and C is 1.009
Answer: Aₙ = Aₙ₋₁*3; where A₀ = 2.5
Step-by-step explanation:
Let's try with some known sequences:
Arithmetic.
The difference between consecutive terms is constant:
7.5 - 2.5 = 5
22.5 - 7.5 = 15
We can already see that it is not an arithmetic sequence.
Geometric:
The ratio between consecutive terms is constant.
7.5/2.5 = 3
22.5/7.5 = 3
67.5/22.5 = 3
...
We can already see that this is a geometric sequence.
Then we can write the n-th term as:
Aₙ = Aₙ₋₁*3, where A₀ = 2.5
Answer:
<em>The correct option will be: B) 2,500</em>
Step-by-step explanation:
Nikita invest 2000 into a bank account with a 4% annual interest rate.
So, the amount of interest in one year will be:
and <u>the amount of interest in 7 years</u> will be:
Thus, <u>the total money in her account after 7 years</u>
So, the most expensive item she can afford to buy will be: 2500