The value of car after 12 years is $ 2982.92
<em><u>Solution:</u></em>
Given that,
A new car is purchased for 17000 dollars
The value of the car depreciates at 13.5% per year
<em><u>To find: Value of car after 12 years</u></em>
<em><u>The decreasing function is given as:</u></em>
Where,
y is the future value
a is the initial value
r is the decreasing rate in decimal
t is the number of years
From given,
<em><u>Substituting the values we get,</u></em>
Thus value of car after 12 years is $ 2982.92
3 hours and 45 minutes
The equation can be solves by adding their two efforts together in a ration equation. See below.
5/x + 15/x = 1
Answer:
<h3>A.</h3>
The first term is 3 and the common difference is 4.
<u>The nth term is:</u>
- aₙ = a₁ + (n - 1)d
- aₙ = 3 + 4(n - 1) = 4n - 1
- aₙ = 4n - 1
<h3>B.</h3>
- -3, 9, -27, 81, -243, ...
The first term is -3 and common ratio is -3.
<u>The nth term is:</u>
- aₙ = a₁rⁿ⁻¹
- aₙ = -3*(-3)ⁿ⁻¹ = (-3)°
- aₙ = (-3)ⁿ
<h3>C.</h3>
- 3/4, 5/7, 7/10, 9/13, 11/16, ...
The numerator and the denominator are both AP.
<u>The numerator:</u>
<u>The nth term is:</u>
- bₙ = 3 + 2(n - 1) = 2n + 1
<u>The denominator:</u>
<u>The nth term is:</u>
- cₙ = 4 + 3(n - 1) = 3n + 1
<u>The nth term of the sequence is:</u>
- aₙ = bₙ/cₙ
- aₙ = (2n + 1)/(3n + 1)
The value of t is (D) 55/9.
<h3>
What is an equation?</h3>
- An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =.
- The word equation and its cognates in other languages may have subtly different meanings; for example, in French, an équation is defined as containing one or more variables, whereas in English, an equation is any well-formed formula consisting of two expressions linked by an equals sign.
To find the value of t:
Given -
- (t+5)/(t-5) = 10
- t+5 = 10(t-5)
- t+5 = 10t - 50
- 10t - t = 5 + 55
- 9t = 55
- t = 55/9
Therefore, the value of t is (D) 55/9.
Know more about equations here:
brainly.com/question/2972832
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Answer:
15 and np
Step-by-step explanation:
add 5 + 5+ 5
