Find the simple interest earned, to the nearest cent, for the principal, interest rate, and time.



$530, 6%, 1 year

Answers

Answer 1

The simple interest earned on $530 at 5.5% rate for 1 years is $31.80.

How to calculate simple interest?

The formula for simple interest is expressed mathematically as;

I = P × r × t

Where I is interest, P is principal, r is interest rate and t is time period.

Given the data in the question;

Principal P = $530Interest rate r = 6%Time period t = 1 yearInterest I = ?

First, convert the rate from percent to a decimal form

Rate r = 6%

Rate r = 6/100

Rate r = 0.06

To determine the simple interest earned, plug the given values into the simple interest formula and solve for I.

I = P × r × t

I = $530 × 0.06 × 1

I = $530 × 0.06

I = $31.80

Therefore, the simple interest accumulated after 1 years is $31.80.

Learn more about simple interest here: brainly.com/question/25845758

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

the price of 6 pretzels is 5.10$. Simon and Sofia bought 8 pretzels and shared the cost equally. how much did each person pay

Answers

Answer:

Simon and Sophia payed $3.40 each.

Step-by-step explanation:

5.10/6= 0.85

0.85 dollars per pretzel.

0.85*8= 6.8

Simon and Sophia payed $6.80 together.

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Simon and Sophia payed $3.40 each.

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Step-by-step explanation:

I took 6 and divided $5.10 into 6 to get the cost per pretzel. Then, I multiplied the cost of one pretzel by 8, and divided by two to evenly split the cost between Simon and Sofia. Hope this helps!!

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Step-by-step explanation:

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Charles Beaudry sells computer hardware for a computer firm. He is paid 4 percent commission on the first $8,000 of sales, 6 percent on the next $10,000 of sales, and 8 percent on sales over $18,000. What is his commission of $21,278 in sales?

Answers

As i don't want this to be to long

We break it down so

$8000 x 4% = $320

$10000 x 6% = $600

$8000 + $10000 = $18000

$24550-$18000 = $6550 x 8% = $524

Final answer

$320+$600+$524 = $1,444

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triangle ABC ~ triangle XYZ , where AB = 18 cm, BC = 30 cm , and CA = 42 cm . The longest side of triangle XYZ is 25.2 cm. What is the perimeter of triangle XYZ ?

Answers

Answer:

The perimeter of triangle XYZ is 54 cm

Step-by-step explanation:

In similar triangles, their corresponding sides are proportional, which means the ratios of the corresponding sides are equalTheir perimeters have the same ratio as their corresponding sides, which means P1 = r × P2, where r is the ratio of similarityTheir areas have the square of the ratio as their corresponding sides, which means A1 = r² × A2

Δ ABC is similar to Δ XYZ

∵ The longest side in Δ XYZ is 25.2 cm

→ That means its corresponding side in Δ ABC is the longest side

∵ AB = 18 cm, BC = 30 cm, CA = 42 cm

∴ The longest side in Δ ABC is CA

∴ CA is the corresponding side of the side of length 25.2 cm

The ratio of similarity = [tex]\frac{25.2}{42}[/tex] = 0.6 ⇒ (r)

∵ The perimeter of Δ ABC = AB + BC + CA

∴ The perimeter of Δ ABC = 18 + 30 + 42

∴ The perimeter of Δ ABC = 90 cm

→ Use the 2nd fact above

∵ P of Δ XYZ = r × P of Δ ABC

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An open rectangular cistern when measured from outside is 1.35 metre long 1.08 metre board and 90 cm It is made up of iron which is 2.5 cm find the capacity of the question and the volume of the iron used.​

Answers

Answer:

The capacity of the cistern is [tex]1.2231~m^3[/tex]

The volume of iron used is [tex]0.0891~m^3[/tex]

Step-by-step explanation:

Volume

The volume of a rectangular box of dimensions x,y,z is given by:

V = x.y.z

The external dimensions of the rectangular cistern are 1.35 m, 1.08 m, and 0.90 m, thus the external volume is:

[tex]V_e=1.35*1.08*0.90=1.3122~m^3[/tex]

The cistern is made of iron 2.5 cm= 0.025 thick, thus the internal dimensions are:

1.35 - 0.025 = 1.325 m

1.08 - 0.025 = 1.055 m

0.90 - 0.025 = 0.875 m

The internal volume is:

[tex]V_i=1.325*1.055*0.875[/tex]

[tex]V_i=1.2231~m^3[/tex]

The capacity of the cistern is 1.2231~m^3

The volume of iron used is the difference between the external and the internal volumes:

[tex]V_{iron}=1.3122~m^3-1.2231~m^3[/tex]

[tex]V_{iron}=0.0891~m^3=89.1~lt[/tex]

The volume of iron used is [tex]0.0891~m^3[/tex]

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

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Question

Every Wednesday, Wayne works out for 3/4 of an hour at the fitness center. Every Saturday, he goes to the fitness center again and exercises for 3 times as long. How much time does Wayne spend at the fitness center in all each week?

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Step-by-step explanation:

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[tex] - \frac{2}{3} + \frac{2}{3} = 0\\ [/tex]

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Please help!



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Answers

Answer:

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Step-by-step explanation:

Hope this helps

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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9514 1404 393

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Step-by-step explanation:

The fraction denominators are 5 and 10. The least common multiple of those values is 10. This means we can eliminate fractions by multiplying both sides of the equation by 10:

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Answer:

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Answer:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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