Write out the equation of 34 times the difference between a number and 41 is equal to the number plus -99

Answers

Answer 1

Answer: Equation:
34 × (n - 41) = n + (-99)

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Death Valley CA is 282 feet below sea level. Black Mountain, KY is 750 feet above sea level . How many more feet above sea level is Black Mountain than Death Valley?

Answers

From the Death Valley to Black Mountain, it rises 1032 feet because Death Valley is 1032 ft lower than Black Mountain in elevation.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

Death Valley CA is 282 feet below sea level.

Black Mountain, KY is 750 feet above sea level.

Death Valley (282ft) + 282ft = sea level (0).

0 + 750ft = Black Mountain (750ft).

282ft + 750ft = 1032ft.

From Death Valley to Black Mountain, it rises 1032 feet. Death Valley is 1032 ft lower than Black Mountain in elevation.

Thus, from the Death Valley to Black Mountain, it rises 1032 feet because Death Valley is 1032 ft lower than Black Mountain in elevation.

Learn more about the arithmetic operation here:

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Death Valley (282ft) + 282ft = sea level (0).

0 + 750ft = Black Mountain (750ft).

282ft + 750ft = 1032ft.

It takes 1032ft to get from Death Valley to Black Mountain. Black Mountain is 1032ft more feet above sea level than Death Valley. Hope that helps! :)

In a day, Robin spends 6 hours at school, sleeps for 9 hours, plays for 3 hours, and spends the rest of the time doing other things. Robin spends ______% of the day playing and _____% of the day doing things other than sleeping, playing, or going to school.

Answers

Answer:

Robin spends 12.5% of the day playing and 25% of the day doing things other than sleeping, playing, or going to school.

Step-by-step explanation:

In a day, Robin spends his time :

At school = 6 hours

Sleeps = 9 hours

Plays = 3 hours

Total time spent = 6 + 9 + 3 = 18 hours

Time left = 24 - 18 = 6 hours

doing other things = 6 hours

Now we have to calculate what % of the day he is playing and doing other things.

He spends 3 hours in playing = 3 hours of 24 hours

= 3 ÷ 24 × 100 = 12.5%

He spends 6 hours in doing other things = 6 hours of 24 hours

= 6 ÷ 24 × 100 = 25%

Robin spends 12.5% of the day playing and 25% of the day doing things other than sleeping, playing, or going to school.

6hrs = school
9hrs = sleeps = 18hrs // 24hrs ----6hrs left
3hrs = plays

6hrs = other things

playing = 12.5% -- 3/24 3/24*100
other things = 25% -- 6/24 6/24*100

Someone please help me

Answers

Step-by-step explanation:

-12.6x - 4.9x = -154

-17.5x = -154

17.5x = 154

x = 154/17.5

x =8.8

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Mr. Mudd gives each of his children $2000 to invest as part of a friendly family competition. The competition will last 10 years. The rules of the competition are simple. Each child can split up his or her $2000 into as many separate investments as they please. The children are encouraged to do their research on types of investments. The initial investments made may not be changed at any point during the 10 years; no money may be added and no money may be moved. Whichever child has made the most money after 10 years will be awarded an additional $10,000. Child Performance of investments over the course of the competition Albert $1000 earned 1.2% annual interest compounded monthly $500 lost 2% over the course of the 10 years $500 grew compounded continuously at rate of 0.8% annually Marie $1500 earned 1.4% annual interest compounded quarterly $500 gained 4% over the course of 10 years Hans $2000 grew compounded continuously at rate of 0.9% annually Max $1000 decreased in value exponentially at a rate of 0.5% annually $1000 earned 1.8% annual interest compounded biannually (twice a year) 1. What is the balance of Albert’s $2000 after 10 years? 2. What is the balance of Marie’s $2000 after 10 years? 3. What is the balance of Hans’ $2000 after 10 years? 4. What is the balance of Max’s $2000 after 10 years? 5. Who is $10,000 richer at the end of the competition?

Answers

The balance of Albert is $2159.07; the balance of Marie is $2244.99, the balance of Hans is $2188.35, and the balance of Max is $2147.40. Marie is $10,000 richer at the end of the competition.

What is Compound interest?

Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.

To determine the balance of Albert’s $2000 after 10 years :

If the amount of $1000 at 1.2 % compounded monthly,

A = P(1 +r/n)ⁿ n = 10 years

here P = $1000 and r = 1.2

A = 1000(1 + 0.001)¹²⁰

A = $1127.43

If Albert $500 losing 2%

So 0.98 × 500 = $490

If $500 compounded continuously at 0.8%

So A = P $e^(rt)$

A = 500 $e^(0.008* 10)$

A = 541.6

So the balance of Albert’s $2000 after 10 years :

Total balance = 1127.43 + 490.00+ 541.64 = $2159.07

To determine the balance of Marie’s $2000 after 10 years:

If 1500 at 1.4 % compounded quarterly,

A = 1500(1 + 0.0035)⁴⁰ = $1724.99

If $500 Marie’s gaining 4 %

So 1.04 × 500 = $520.00

So the balance of Marie’s $2000 after 10 years

Total balance = 1724.99 + 520.00 = $2244.99

To determine the balance of Hans’ $2000 after 10 years:

If $2000 compounded continuously at 0.9%

So A = 2000 $e^(0.009* 10)$

A = $2188.3

To determine the balance of Max’s $2000 after 10 years :

If $1000 decreasing exponentially at 0.5 % annually

So A = 1000(1 - 0.005)¹⁰= $951.11

If $1000 at 1.8 % compounded bi-annually

So A = 1000(1 + 0.009)²⁰ = $1196.29

So the balance of Max’s $2000 after 10 years

Total balance = 951.11 + 1196.29 = $2147.40

Therefore, Marie is $10,000 richer at the end of the competition.

Learn more about Compound interest here :

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Answer:

Step-by-step explanation:

Albert:

$1000 earned 1.2% annual interest compounded monthly

= 1000 (1+.001)120

(periodic interest = .012/12 ,n is periods = 10yr x 12 mos)

$500 lost 2% over the course of the 10 years

= 500 (.98)

$500 grew compounded continuously at rate of 0.8% annually

= 500 e^008(10) 10 years interest .008 (in decimal form)

Add these three to see how Albert did with his investments

The pyramid of khagra,in Egypt,is 488 feet tall. The Eiffel Tower,in France,is 1,063 feet tall. How much taller is the Eiffel Tower than the Pyramid of Khafra?

Answers

Answer:

The Eiffel Tower in France is 575 feet taller than pyramid of khagra.

Step-by-step explanation:

We are given the following in the question:

Height of pyramid of khagra = 488 feet

Height of Eiffel Tower in France = 1,063 feet

Difference in height =

= Height of Eiffel Tower in France - Height of pyramid of khagra

$=1063 - 488\n= 575\text{ feet}$

Thus, the Eiffel Tower in France is 575 feet taller than pyramid of khagra.

Which Property of Equality should be used first to solve the equation p/7 - 5 = -3 for pAddition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

Division Property of Equality

Answers

Well, let's solve it and see which properties we're using:

p/7 - 5 = -3

Add 5 to each side. (Addition property.)

p/7 = 2

Multiply each side by 7. (Multiplication property.)

p = 14

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