Answer:
3
Step-by-step explanation
Your problem statement tells you
f(x) passes through point (3, negative 1)
g(x) passes through point (3, negative 1)
This tells you the input value that produces the same output value for the two functions is 3, and that output value is -1.
70 ft because 7 is bigger than 5 and 7x10=70
Answer:
<u>Part 1: C. $3,159.30</u>
<u>Part 2. C. –5; –135; –10,935</u>
Step-by-step explanation:
Part 1:
Price of the boat = $ 16,600
Depreciation rate = 14% = 0.14
Time of utilization of the boat = 11 years
Price of the boat after 11 years = Original price * (1 - Depreciation rate)^Time of utilization of the boat
Price of the boat after 11 years = 16,600 * (1 - 0.14)¹¹
Price of the boat after 11 years = 16,600 * 0.1903
<u>Price of the boat after 11 years = $ 3,159.30</u>
Part 2:
Let's find out the first term of the sequence given:
A(1) = -5 * 3¹⁻¹
A(1) = -5 * 1
A(1) = -5
Let's find out the fourth term of the sequence given:
A(4) = -5 * 3⁴⁻¹
A(4) = -5 * 3³
A(4) = -5 * 27
A(4) = -135
Let's find out the eighth term of the sequence given:
A(8) = -5 * 3⁸⁻¹
A(8) = -5 * 3⁷
A(8) = -5 * 2,187
A(8) = -10,935
Answer:
50
Step-by-step explanation:
42/n³∑k²+12/n²∑k+30/n∑1
=42/n³[n(n+1)(2n+1)/6]+12/n²[n(n+1)/2]+30/n [n]
=7n(n+1)(2n+1)/n³+6n(n+1)/n²+30
=7(n+1)(2n+1)/n²+6(n+1)/n+30
=[7(2n²+3n+1)+6(n²+n)+30n²]/n²
=[14n²+21n+7+6n²+6n+30n²]/n²
=[50n²+27n+7]/n²
=[50+27/n+7/n²]
→50 as n→∞
because 1/n,1/n²→0 as n→∞
Let's remember the equation for the volume of a cube:
V= x^3 where x is the length of one side
Since a cube has equal length for length, width, and height.
Now, use what you're given
V= 1331
And put that in terms of x
x^3 = 1331
Now solve for x!
x= cube root (1331)
Think about it! cube root of 1331 * cube root of 1331 * cube root of 1331... will equal 1331 m^3!
Hope this helps
