Martin bought a new tv for $1800 in 2015. It loses its value by 6.5% per year. What will the value of the tv be in 2021?

You pack sandwiches for a hike with your friends. Each sandwich takes 2 slices of bread, and each hiker eats one sandwich.

Citrus2011 [14]

<u>Given</u><u> </u><u>that</u><u>:</u><u>-</u>

→ 1 sandwich = 2 slices of bread.

→ 1 hiker = 1 sandwich.

→ Then we have to find number of bread slices for n hikers .

→ Number of bread slices for 1 hiker = 2

→ Number of bread slices for 2 hikers = 2 × 2

→ For 3 hikers = 3 × 2

So in similar way

→ Number of bread slices for n hikers = 2×n → 2n

So <u>2</u><u>n</u><u> </u> is the answer.

6 0

2 years ago

Plz help me I don't know how to do this!!!!

m_a_m_a [10]

Answer:

x = 25

Step-by-step explanation:

Since it is an equilateral triangle it means that all the sides are 50. Each side is equal so, if you divide 150 by 3 you get 50. (and since perimeter is the adding of each side)

Now you want to try to figure out what the altitude is of the triangle so you divide it in half. Making the bottom side length now 25 because half of 50 is 25. You now have to use Pythagoreans theorem to figure out the altitude:

c^2 - a^2 = b^2

50^2 - 25^2 = b^2

2500 - 625 = b^2

1875 = b^2

√1875 = b

43.30127019

now you put that into the expression: x√3:

x√3 = 43.30127019

x = (43.30127019) ÷ (√3)

x = 25

Hope this helped!

8 0

2 years ago

How are the 4s related in 44,268

Ahat [919]

Well they are close to eachother and are both have a thousand. Such as the 1st 4 is 10 thousand but the 2nd 4 us in the thousands.

6 0

3 years ago

The denominator of a fraction is 3 more than its numerator. If 2 is added to both the numerator and the denominator, the 2 new f

Julli [10]

Answer:

4/7

Step-by-step explanation:

Using the hint, we have an original fraction of x/(x+3). The given manipulations and relations can be used to find the value of x, and the original fraction.

__

<h3>adding 2 to each term</h3>

The new fraction is ...

$\dfrac{x+2}{(x+3)+2}=\dfrac{x+2}{x+5}\\$

<h3>new value</h3>

Apparently, the new value of this fraction is 2/3. We can use this to find the value of x.

$\dfrac{x+2}{x+5}=\dfrac{2}{3}\\\\3(x+2)=2(x+5)\qquad\text{multiply by $3(x+5)$}\\\\3x+6=2x+10\qquad\text{eliminate parentheses}\\\\x=4\qquad\text{subtract $2x+6$}$

The original fraction is ...

4/(4+3) = 4/7

_____

<em>Alternate solution</em>

In the ratio 2/3, the numerator is twice the difference between the denominator and numerator. 2 = 2(3 -2)

The problem statement tells us the difference between the numerator and denominator is 3. That is not changed by adding the same number to each. This means the fraction equivalent to 2/3 is (2·3)/(3·3) = 6/9. Subtracting 2 from each of the numerator and denominator gives the original fraction:

(6-2)/(9-2) = 4/7

7 0

2 years ago

Meg's pension plan is an annuity with a guaranteed return of 7% per year (compounded quarterly). She would like to retire with a

Likurg_2 [28]

Answer:

$985.92

Step-by-step explanation:

In order to solve this question, we are going to use two formulas.

Present Value of an Annuity

$PV=PMT\frac{1-(1+i)^{-n} }{i}$

To get the value of the pension of 10,000 per quarter for 10 years. And

Sinking funds Payments Formula

$PMT=FV\frac{i}{(1+i)^{n}-1}$

to get the Payment to be deposited each quarter during 26 years.

So for the first formula

n= number of periods = we need to know how many quarters in 10 years are. We know there are 4 quarters in a year, so 10 years multiplied by 4 is 40 quarters

n= 40

For i=interest rate= it is 7% compounded quarterly. There are 4 quarters so we divide by 4 and we get:

i=7%/4=1,75%

PMT= 10,000

$PV=10,000\frac{1-(1+0.0175)^{-40} }{0.0175}\\\\PV=$285,942.30$

and these 285,942.30 would be our future value in the sinking fund payment formula with:

n= 26 years *(4 quarters a year)= 104 quarters

i=1.75%

FV=$285,942.30

$PMT=FV\frac{i}{(1+i)^{n}-1}\\\\PMT=285,942.30\frac{0.0175}{(1+0.0175)^{104}-1}\\\\PMT=985.92$

And $985.92 would have to be deposited every quarter during 26 years to get a payment of $10,000 per quarter for 10 years.

3 0

2 years ago