You want to put $2,000 in a simple interest account. It has a 2.5% annual interest rate. How long will it take you to earn $500 in interest? A-1 B-6.25 C-10 D-25

Answers

Answer 1
Answer: I=Prt
Interest=principal×rate×time
500=2000×0.025×y (for years)
500=50y
10=y so
C) 10 years
Answer 2
Answer:

The required it will take 10 years to earn $500 in interest. Option C is correct.

What is simple interest?

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan.

SI= Principal×rate×time]

Here,
The formula for simple interest is:

I = Prt

We know that the principal (P) is $2,000, the interest rate (r) is 2.5% or 0.025 as a decimal, and we want to find the time (t) it takes to earn $500 in interest.

Substituting these values into the formula, we get:

$500 = 2,000 * 0.025 * t

$500 = 50t

t = 500 / 50 = 10 years

Therefore, it will take 10 years to earn $500 in interest.

Learn more about simple interests here:

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the amount of water in a bottle is reduced by 85% to 120 milliters how many water was originally in the bottle.

Answers

Given:
Rate of reduction : 85%
Remaining volume: 120 ml.

This means that 120 ml is equivalent to 15% of the original volume.

100% - 85% = 15%

120 ml ÷ 15% = 800 ml.

There was 800 ml of water before it was reduced.

800 ml * 85% = 680 ml ⇒ volume reduced
800 ml - 680 ml = 120 ml ⇒ volume left after reduction.

38 is what percent of 62?

Answers

38 = 62x
x = 38/62 = 19/31 = .6129...*100 = 61.29% 
In order to find this, you divide 38/62. when you do this you get .6129. to make it a percent simply move the decimal to the right two places, giving us 61.29%. in most cases you will only need the one number after the decimal, but it depends on the question. 

Which of these graphs represents the graph of line y = -x + 1?

Answers

Answer:

See attached picture.

Step-by-step explanation:

To graph the equation, use the slope intercept form of the line to identify the slope and y-intercept.

y = -x + 1                          y = mx+b

m=-1 and b=1

This means start at 1 on the y-axis and plot a point. From this point (0,1), move down 1 unit and to the right 1 unit. Plot this point (0,1). Connect the two points.

A coral reef is losing 7% of its area annually. Create a table of percentage calculations for 10 years. If the coral reef starts out with 14,000 square feet, how much is left after 9 years?

Answers

Coral in square feet | Year
14,000 | start
13,020 | 1st year
12,108.6 | 2nd year
11,261 | 3rd year
10,472.73 | 4th year
9,739.64 | 5th year
9,057.87 | 6th year
8,423.82 | 7th year
7,834.15 | 8th year
7,285.76 | 9th year
6,775.76 | 10th year

Carl is boarding a plane. He has 2 checked bags of equal weight and a backpack that weighs 4 kg. The total weight of Carl's baggage is 35 kg.Write an equation to determine the weight, w, of each of Carl's checked bags.

Answers

Carl has 3 bags in total. One backpack weighs 4 kg and the rest two checking bags have the equal weight. The total weight of 3 bags is given to be 35 kg.

Let the weight of each checking bag is w kg. So we can write:

2 x (Weight of a checking bag) + Weight of Backpack = 35

Using the values, we get:

2w+ 4 = 35

Using this equation we can find the weight of each checking bag, as shown below.

2w = 31

w = 31/2

w = 15.5

Thus, the weight of each checking bag is 15.5 kg

Answer: Weight of each of Carl's checked bags is 15.5 kg.

Step-by-step explanation:

Since we have given that

Number of checked bags of equal weight = 2

Weight of a backpack = 4 kg

Total weight of Carl's baggage = 35 kg

Let the weight of checked bags be 'w'.

According to question,

2w+4=35\n\n2w=35-4\n\n2w=31\n\nw=(31)/(2)\n\nw=15.5\ kg

Hence, Weight of each of Carl's checked bags is 15.5 kg.

Rectangle A′B′C′D′ is the image of rectangle ABCD after a dilation. What is the scale factor of the dilation? Enter your answer in the box.

Answers

Each of the prime coordinates is 3 times the unprimed coordinates. 

The scale factor is 3.