Answer:
4
Step-by-step explanation:
A simple matter of using Pythagoras. The hypotenuse is the ladder, and one of the legs is the wall, and we have to figure out the value of the other leg.
The Pythagorean formuda is (hypotenuse = a): a² + b² = c² (b and c are the other sides)
applying the values: a = 5 and b or c is 3 (I'll put b = 3)
5² = 3² + c²
25 = 9 + c²
25 - 9 = c²
16 = c²
√16 = c
4 = c
c = 4
Answer:
3.88 i believe
Step-by-step explanation:
Answer:
The nth term of the sequence is
<h2>9n - 8</h2>
Step-by-step explanation:
The sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
From the question
a = 1
d = 10 - 1 = 9 or 19 - 10 = 9 or 28 - 19 = 9
So the nth term of the sequence is
A(n) = 1 + (n - 1)9
= 1 + 9n - 9
= 9n - 8
<h3>A(n) = 9n - 8</h3>
Hope this helps you
Answer:
$6750 in the bank account and $20,250 in the stock fund
Step-by-step explanation:
If B is the money they put in the bank and S is the amount they put in the stock fund, then:
B + S = 27000
1.024 B + 1.072 S = 1.06 × 27000
Solving the system of equations:
1.024 (27000 − S) + 1.072 S = 28620
27648 − 1.024 S + 1.072 S = 28620
0.048 S = 972
S = 20250
B = 27000 − S
B = 6750
They should put $6750 in the bank account and $20,250 in the stock fund.
