The value of a dirt bike decreases by 20% each year. If you purchased this dirt bike today for $500, to the nearest dollar how much would the bike be worth 5 years later?

Answers

Answer 1

Answer: The value of the bike after a year becomes only 80% of the value a year ago. In this given, the initial amount $500 should be multiplied by 80% 5 times. The answer would be $163.84. Thus, after 5 years the dirt bike would only be $163.84.

Answer 2

Answer:

Answer:

The price of bike after 5 year in nearest dollars is $ 164

Step-by-step explanation:

We have formula

$A=P(1-R)^t$

Where

A= Price of dirt bike after t years

P= Initial price of bike

R= rate of decrease

t= time in years

It is given that the price of dirt bike today is $ 500, and its price is decreasing by 20% each year. We need to find the price after 5 years

So we have

P = $500

R = 20 % = 0.2

t= 5 years

now we plug these values in the formula, so we have the price of dirt bike after 5 years is given by

$A = 500(1-0.2)^5$

$A= 500(0.8)^5\nA= 500(0.32768)\nA= 163.84$

Hence the price of bike after 5 year in nearest dollars is $ 164

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The area of a rectangular hall is 153 sq. m. Its width is 9m. Find its length

Answers

Answer: L = 17 m

Step-by-step explanation:

Our task is to find the length of the rectangular hall.

We know that:

The area of the hall is 153 m².
The width is 9 cm.

We need to find:

The length of the hall

Applying the formula,

$\bf{A=LW}$ , where L = length, w = width

Substitute all the values:

$\bf{153=L*9}$
$\bf{153=9L}$
$\bf{17=L}$

Therefore, L = 17.

Answer:17

Step-by-step explanation: h = 153/9

College BoardThe number of hours of daylight, d, in Hartsville can be modeled by d = (35/3) + (7/3) (sin((2π/365)t)), where t is the number of days after March 21. The day with the greatest number of hours of daylight has how many more daylight hours than May 1? (March and May have 31 days each. April and June have 30 days each.)
A. 0.8 hr
B. 1.5 hr
C. 2.3 hr
D. 3.0 hr
E. 4.7 hr

Answers

Sincethis is an SAT Math Level 2 problem derivatives should not be requiredto find the solution. To find "How many more hours of daylight does theday with max sunlight have than May 1," all you need to understand isthat sin(x) has a maximum value of 1.

The day with max sunlight will occur when sin(2*pi*t/365) = 1, giving the max sunlight to be 35/3 + 7/3 = 14 hours

Evaluating your equation for sunlight when t = 41, May 1 will have about 13.18 hours of sunlight.

The difference is about 0.82 hours of sunlight.

Even though it is unnecessary for this problem, finding the actual maxsunlight day can be done by solving for t when d = 14, of by the use ofcalculus. Common min/max problems on the SAT Math Level 2 involve sinand cos, which both have min values of -1 and max values of 1, and alsopolynomial functions with only even powered variables or variableexpressions, which have a min/max when the variable or variableexpression equals 0.

For example, f(x) = (x-2)^4 + 4 will have a min value of 4 when x = 2. Hope this helps

Final answer:

In Hartsville, the summer solstice has about 1.5 hours more daylight than May 1.

Explanation:

The problem requires calculating the difference in daylight hours between the day with the longest day (also known as the summer solstice) and May 1. The summer solstice is typically around June 21, which is 92 days after March 21. We can find the number of daylight hours on this day by substituting t = 92 into the formula: d = (35/3) + (7/3) (sin((2π/365)*92)). This equals about 16.2 hours.

Next, we find the number of daylight hours on May 1, which is 41 days after March 21, by substituting t = 41 into the formula: d = (35/3) + (7/3)(sin((2π/365)*41)), which equals approximately 14.7 hours.

Then, we find the difference between the two by subtracting the daylight hours on May 1 from the daylight hours on the summer solstice: 16.2 - 14.7 = 1.5 hours. Therefore, the summer solstice has 1.5 hours more daylight than May 1.

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What is the correct classsification of 23x+16
monomial
binomial
trinomial

Answers

mono=one
bi=two
tri=three

it tells how many terms it has when fully combined
we can not tell from x+2x+3-1 if it is a whatnomial
we must combine the x's and numbers to get 3x+2
we see it has 2 terms so bi=2 so binomiall

23x+16 is combined
2 terms
binomial

23x + 16 is a binomial.

Three equivalent ratio of 48:36

Answers

The three equivalent ratios of 48:36 are 24:18, 16:12 & 12:9.

The given ratio is 48:36

Since we know that,

When we compare two ratios, they are said to be equivalent. To determine whether two or more ratios are equivalent, they can be compared to one another.

Now factorizing these numbers,

48 = 2x2x2x2x3

36 = 2x2x3x3

The common factors of 48 and 36 are, 2, 3 , 4, 6, 9

Hence divide both number by 2 we get ,

24:18

divide both number by 3 we get,

16:12

divide both number by 4 we get ,

12:9

Hence the equivalent ratios are 24:18, 16:12 & 12:9.

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