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3 years ago

In the image, the distance from the swings to the slide is 35

1 answer:

5 0

The Pythagorean theorem is a^2+b^2=c^2 where a and b are legs and c is the hypotenuse(longest side). you haven’t put a picture so I don’t know where 35 is a leg or the hypotenuse, but all you have to do is square the 2 shorter sides and add them and set it equal to the square of the longer side. You can do it!

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At 10 percent interest, how long does it take to quadruple your money?

horsena [70]

It takes about 14.55 years for quadruple your money

<em><u>Solution:</u></em>

Given that,

At 10 percent interest, how long does it take to quadruple your money

Rule of 144:

The Rule of 144 will tell you how long it will take an investment to quadruple

Here,

Rate of interest = 10 %

Therefore, number of years to quadruple your money is obtained by dividing 144 by 10

<em><u>Rule of 144 Formula: </u></em>

$N = \frac{144}{R}$

Where:

N = Number of many years times.

144 = Is the constant variable.

R = Rate of interest.

$\rightarrow N = \frac{144}{10} = 14.4$

Thus it takes about 14.4 years for quadruple your money.

<em><u>Another method:</u></em>

If initial amount is $ 1 and it if quadruples it should be $ 4

We have to find the number of years if rate of interest is 10 %

Let "n" be the number of years

Then we can say,

$Amount = Principal(1+\frac{R}{100})^n$

$4 = 1(1+\frac{10}{100})^n$

$4 = 1(1+0.1)^n\\\\4= 1(1.1)^n\\\\4 = 1.1^n\\\\We\ know\ that,\\\\(1.1)^{14.55} = 1.1^n\\\\We\ know\ that\\\\If\ a^m = a^n\ then\ m = n\\\\Therefore,\\\\14.55 = n\\\\n = 14.55$

Thus Option D 14.55 years is correct

7 0

3 years ago

Tyrone wrote an equivalent expression for 28 + x - 2n + 7 - n - 5x + 4. His equivalent expression was -3n - 5x + 39 + x. What er

MA_775_DIABLO [31]

Answer with Step-by-step explanation:

We are given an expression:

28 + x - 2n + 7 - n - 5x + 4

We have to find its equivalent expression

On combining the like terms of the above expression

28+4+7+x-5x-2n-n

= 39-4x-3n

= -3n-4x+39

According to Tyrone the equivalent expression was:

-3n - 5x + 39 + x

The error Tyrone made was:

A. Tyrone neglected to combine the x terms

6 0

3 years ago

Read 2 more answers

At 10 A.M the outside temperature was -5 F. By noon, the temperature was -17 F. Ricardo said that it was getting warmer outside.

Natasha_Volkova [10]

Ricardo is not correct because the temperature is actually getting colder (idk if I need to explain it more). The difference is -12 F

8 0

3 years ago

Read 2 more answers

How many times does 8 go into 65

kozerog [31]

8 can go as much as 8.125 or 8 1/8 times in 65. This is done by using a basic mathematical operation which is division. 65 is divided by 8 which will give us the answer of 8.125 or in fraction form it would be 8 1/8.

3 0

3 years ago

2. After the orchestra completed its program

stiv31 [10]

<h3><u>Question:</u></h3>

After the orchestra completed its program, there was a party to allow the patrons to mingle with the musicians. Kayla’s Catering provided the food, drinks, and service for the party. There were two hundred seven guests. Kayla charges $27.00 per guest for food and $10.00 per guest for drinks. To that she adds $4.98 per guest for service. What was Kayla's total bill for catering the party?

<h3><u>Answer:</u></h3>

The total bill for catering the party is $ 8689.86

<h3><u>Solution:</u></h3>

Kayla’s Catering provided the food, drinks, and service for the party

Total number of guests = 207

Charge for food for 1 guest = $ 27

Charge for drink for 1 guest = $ 10

Charge for service for 1 guest = $ 4.98

<em><u>To find: Kayla total bill for cater</u></em>

Total bill = Total number of guests(Charge for food for 1 guest + Charge for drink for 1 guest + Charge for service for 1 guest)

$Total\ bill = 207(27+10+4.98)\\\\Total\ bill = 207(37 + 4.98)\\\\Total\ bill = 207 \times 41.98\\\\Total\ bill = 8689.86$

Thus total bill for catering the party is $ 8689.86

4 0

2 years ago