82.2756 rounded to the nearest penny

Answer:

-9 ≤ x

Step-by-step explanation:

Thsi is probably right

Answer:

56 cent

Step-by-step explanation:

divide 1.96 by 3.5

The total distance that Gavin and Ethan ran last week is: 21000 meters

How to find the total distance?

Gavin ran 7 kilometers last week, and Ethan ran twice as far as Gavin. To find the total distance that Gavin and Ethan ran last week, we need to add the distance that Gavin ran to the distance that Ethan ran.

Since Gavin ran 7 kilometers, we can convert this to meters by multiplying by 1000:

7 kilometers * 1000 meters/kilometer = 7000 meters

Since Ethan ran twice as far as Gavin, we can find the distance that Ethan ran by multiplying Gavin's distance by 2:

2 * 7000 meters = 14000 meters

Therefore, the total distance that Gavin and Ethan ran last week is:

7000 meters + 14000 meters = 21000 meters

In summary, Gavin ran 7000 meters and Ethan ran 14000 meters last week, for a total distance of 21000 meters that they both ran.

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If Ethan ran twice as far as Gavin then he ran 14 kilometers. 7*2=14. And then you add 7 to 14 which gives you 21. so they ran a total of 21 kilometers

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

A = 500

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

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.

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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

As per the question no (a) The areas corresponding to each other are triangles ABC and DEF, and the common ratios are AB/DE = 5/2 and BC/EF = 5/2. Lets find the solution :-

Now,

In triangles ABC and DEF, we have the following:-

∠A and ∠D are congruent, so we can say ∠A = ∠D.

∠C and ∠F are congruent, so we can say ∠C = ∠F.

Now, to find which areas correspond, let's compare the ratios of corresponding sides:-

AB/DE = 15/6 = 5/2

BC/EF = 20/8 = 5/2

These ratios are equal, indicating that sides AB and DE correspond, and sides BC and EF correspond. So, the areas corresponding to each other are triangles ABC and DEF, and the common ratios are AB/DE = 5/2 and BC/EF = 5/2.

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