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fiasKO [112]
2 years ago
14

A new car is purchased for 23900 dollars. The value of the car depreciates at 14.25% per year. To the nearest tenth of a year, h

ow long will it be until the value of the car is 6100 dollars?
Mathematics
2 answers:
svp [43]2 years ago
7 0

Answer:

The value of the car will be 6100 dollars in 8.8 years

Step-by-step explanation:

Present value of car = $23900

The value of the car depreciates at 14.25% per year

Let x be no. of years in which  the value of the car becomes 6100 dollars

Formula: N(t)=N_0(1-r)^t

Substitute the values :

6100=23900(1-\frac{14.25}{100})^x\\\frac{6100}{23900}=(1-\frac{14.25}{100})^x\\x=8.8

Hence the value of the car will be 6100 dollars in 8.8 years

sleet_krkn [62]2 years ago
5 0

Answer:

The correct answer is 8.9

Step-by-step explanation:

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What type of polynomial is 5x+1
notsponge [240]

Answer: 5x + 1 is a Monomial

<u>Monomial</u>: It is an algebraic expression that contains only one term and is called as Monomial. In a simplistic form, it can be called as an expression that contains any count of like terms.

7 0
2 years ago
Jonathan borrowed $475 at a simple annual interest rate of 2%. How many years will it take him to repay the loan if he wants to
vovikov84 [41]
Firstly you would times 475 by the percentage, which you can convert to a decimal my multiplying the percentage by 100.

475 * 0.02 = 9.50

Then divide the interest by the amount of interest per year:
38 / 9.5 = 4.

The answer would be 4 years.

Hope this helps.
3 0
2 years ago
Read 2 more answers
Pleasantburg has a population growth model of P(t)=at2+bt+P0 where P0 is the initial population. Suppose that the future populat
yulyashka [42]

Answer:

The population will reach 34,200 in February of 2146.

Step-by-step explanation:

Population in t years after 2012 is given by:

P(t) = 0.8t^{2} + 6t + 19000

In what month and year will the population reach 34,200?

We have to find t for which P(t) = 34200. So

P(t) = 0.8t^{2} + 6t + 19000

0.8t^{2} + 6t + 19000 = 34200

0.8t^{2} + 6t - 15200 = 0

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

In this question:

0.8t^{2} + 6t - 15200 = 0

So a = 0.8, b = 6, c = -15200

Then

\bigtriangleup = 6^{2} - 4*0.8*(-15100) = 48356

t_{1} = \frac{-6 + \sqrt{48356}}{2*0.8} = 134.14

t_{2} = \frac{-6 - \sqrt{48356}}{2*0.8} = -141.64

We only take the positive value.

134 years after 2012.

.14 of an year is 0.14*365 = 51.1. The 51st day of a year happens in February.

So the population will reach 34,200 in February of 2146.

6 0
2 years ago
What is the difference between 903.55 and 87.7<br>​
vitfil [10]

Answer:903.55

Step-by-step explanation:

6 0
2 years ago
A moderately active 140 pound person will use 2100 calories per day to maintain that body weight, how many calories per day are
blondinia [14]

Answer:

2,175 calories

Step-by-step explanation:

140 pound person will use 2100 calories per day

145 pounds person will use x calories per day

Find x

Pounds : calories

140 : 2100 = 145 : x

140/2100 = 145/x

Cross product

140 * x = 2100 * 145

140x = 304,500

Divide both sides by 140

x = 304,500 / 140

= 2,175

Therefore,

145 pounds person will use 2175 calories per day

4 0
2 years ago
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