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3 years ago

Andrea wanted to calculate 5% of 300, so she multiplied 300 by 0.5 (300 x 0.5).

1 answer:

5 0

This is because Andrea converted the Percentage wrong.
to Convert a Percent to a Decimal, she should have divided by 100
so 5 divided by 100 = 0.05 [not 0.5]
Andrea should have multiplied 300 by 0.05 instead to get the right answer

quickly finding 10% of a number means to simply move the decimal to the left one place
so 10% of 300 is 30

since 5% is half of 10%
half of 30 is 15

and so 5% of 300 is 15

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Rename 3/8 and 7/10 of fractions with common denominators

Ilia_Sergeevich [38]

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3 years ago

Read 2 more answers

Account A and Account B both have a principal of $2,000 and an annual interest rate of 2%. No additional deposits or withdrawals

GuDViN [60]

Answer:

Account B earns more interest.

After 20 years, account B will have earned $171.89 more.

Step-by-step explanation:

Let's calculate the total for each account.

Account A:

Account A earns simple interest. We know that the principal value is $2000 and the interest rate is 2% or 0.02. We can use the simple interest formula:

$A=P(1+rt)$

Where A is the future value, P is the principal, r is the rate, and t is the time in years.

So, let's substitute 2000 for P, 0.02 for r, and 20 for t. This yields:

$A=2000(1+0.02(20))$

Multiply and add:

$A=2000(1+0.4)=2000(1.4)$

Multiply. So, the total amount of money in Account A after 20 years is:

$A=\$2800$

Since we initially deposited $2000 and our total is now $2800, this means that we earned an interest of $2800-2000=\$ 800$

Account B:

Account B earns compound interest. Like Account A, Account B has a principal value of $2000 and the interest rate is 2% or 0.02. We also know that it's compounded annually, so once per year. We can use the compound interest formula:

$B=P(1+\frac{r}{n}})^{nt}$

Where B is the future value, P is the principal, r is the rate, n is the times compounded per year, and t is the time in years.

So, let's substitute 2000 for P, 0.02 for r, n for 1 (since it's compounded annually), and t for 20. This yields:

$B=2000(1+\frac{0.02}{1})^{(1)(20)}$

Simplify this to acquire:

$B=2000(1.02)^{20}$

Evaluate. Use a calculator. So, after 20 years, the amount of money in Account B is:

$B\approx\$2971.89$

Since our principal was $2000, this means that we earned an interest of approximately $2971.89-2000=\$ 971.89$ .

So, Account A earned an interest of $800 and Account B earned an approximate interest of $971.89.

So, Account B earned more interest.

And it earned $971.89-800=\$ 171.89$ more than Account A.

And we're done!

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3 years ago

I need help with this problem

Anit [1.1K]

Answer:

show how you know .. :D good rhyme

Step-by-step explanation:

park = 4" x 6" ( inches) small park

but one inch = 30 miles ooh big park

4*30 X 6*30

120 X 180 miles... like a big game range? :? very big

since we only have 6 square inches to fit the map into... then.. what size of map would fit? what size equals 6 inches? 2 x 3 ? hmm yes that's 6

soooo shrink the 4" x 6" to 2"x 3" so the scale needs to double or

1 inch = 60 miles

2"*60 x 3"*60 = 120 x 180 miles.. looks good try that :)

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3 years ago

I need help asap!!!!

kolbaska11 [484]

Answer:

24: x = 31

25: x = 15

Step-by-step explanation:

Remark

24 is supplementary which means that the two angles add to 180o which is on the right hand side of the equation

25 is complementary which means that the two angles add to 90o which is on the left hand side of the equation

Twenty Four

3x + 31 +2x - 6 = 180 Collect the like terms

3x +2x + 31 - 6 = 180 Do the adding and subtracting.

5x + 25 = 180 Subtract 25 from both sides

5x + 25 - 25 = 180 - 25

5x = 155 Divide by 5

x = 155/5

x = 31

Check

3x + 31 = 3*31 + 31

3x + 31 = 93 + 31

3x + 31 = 124

2x - 6 = 2*31 - 6 = 62 - 6 = 56

Total 124 + 56 = 180 as it should.

Twenty Five

Equation

3x+ 4x - 15 = 90

Solution

7x - 15 = 90 Like terms have been collected on the left.

7x = 90 + 15 15 was added to both sides

7x = 105 Divide by 7

x = 15 I'll leave the check to you

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3 years ago

A tennis ball machine serves a ball vertically into the air from a height of 2 feet, with an initial speed of 120 feet per secon

Makovka662 [10]

Answer:

The maximum height is reached after 3.75 seconds.

Step-by-step explanation:

Assuming the deceleration due to gravity is unaided by air resistance, gravity causes the ball to lose vertical speed at the rate of 32 ft/s every second. The initial vertical speed of 120 ft/s will decline to zero when t satisfies ...

... 120 ft/s - (32 ft/s²)t = 0

... (120 ft/s)/(32 ft/s²) = t = 3.75 s

The ball will not go any higher after its vertical speed is zero.

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3 years ago