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8090 [49]
3 years ago
11

The tree house will be 8 feet off the ground. Peter will hang a rope, with knots tied for foot holds. Each knot uses an addition

al 2 inches of rope. Write an expression for the length of the rope needed if Peter ties n knots and wants the rope to touch the ground. How many inches of rope are needed if there are 8 knots? Explain.
Mathematics
1 answer:
Murljashka [212]3 years ago
7 0

Answer:

Step-by-step explanation:

The answer is 56.

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Samantha has $1,290 in a savings account that pays 4% simple interest. How much interest will she earn in 9 months? How much wil
Masja [62]

Given:

Principal = $1290

Rate of simple interest = 4%

Time = 9 months

To find:

The interest and total saving in the account altogether.

Solution:

The formula for simple interest is

I=\dfrac{P\times r\times t}{100}      ...(i)

where, P is principal, r is rate of interest and t is time in years.

We know that,

12\ months=1\ year

1\ month=\dfrac{1}{12}\ year

9\ months=\dfrac{9}{12}\ year

9\ months=0.75\ year

Putting P=1290, r=4 and t=0.75 in (i), we get

I=\dfrac{1290\times 4\times 0.75}{100}

I=\dfrac{3870}{100}

I=38.70

So, the simple interest is $38.70.

Total savings is

1290+38.70=1328.70

Therefore, the total amount in the account altogether is $1328.70.

4 0
3 years ago
Helppp please I will give brainliest <br><br>write an equation ​
Keith_Richards [23]

Answer:

Step-by-step explanation:

c=100g+50

then plug in g to get c values

8 0
3 years ago
Help me with this.. thanks
sveta [45]

Answer:

Attachment 1 :-   x = 3/2

Attachment 2 :-  m + r = 154°

Step-by-step explanation:

Attachment 1 :-

9^(^2^-^x^) = 3\\=> 3^2^(^2^-^x^) = 3\\

As the base 3 is same on both the sides , cancel the base 3 from both left & right side of eqn. After that we will get:-

2(2 - x) = 1\\=> 2 - x =\frac{1}{2} \\=> x = 2 - \frac{1}{2} = \frac{3}{2}

Attachment 2 :-

PQR is a straight line . It's given that m + n = 110°

But we know that m + n + r = 180° ..............eqn.1

So substituting the value of m+n in eqn.1 gives :-

m+n+r = 180°

=> r + 110° = 180°

=> r = 180° - 110°

       = 70°

It's also given that n+r = 96°

So putting the value of r in the above gives ,

n+r = 96°

=> n + 70° =96°

=> n = 96° - 70°

        = 26°

Putting the value of n in eqn.1 gives

m + n = 110°

=> m + 26° = 110°

=> m = 110° - 26°

        = 84°

So m + r = 84° + 70° = 154°

3 0
3 years ago
If a Play Station was bought for $450 after a 10% discount what was the original price of the Play Station?
Gemiola [76]
If it was bought after 10% discount, it means it was bought at 90% of the original price:
90% = $450 
1% = $5
100% = $5 x 100
100% = $500

The original price of the Play Station was $500.
7 0
3 years ago
A family of four goes to the movies. Each ticket costs x dollars and $10 for a drink and candy. Each member of the family got a
raketka [301]

Answer: 4x+40 dollars

Step-by-step explanation:

1. Define: since a ticket costs x dollars and 10$ for a drink and candy, your expression would be x+10 dollars.

2. Distrubute: Since there are 4 people, it would be:

4*(x+10)

3. Simplify: 4*(x+10) => 4x+40

Have a nice day! :D

3 0
3 years ago
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