How much principal, to the nearest dollar, should you invest at 4% in order to have $3,000 for a vacation to Europe in 3 years?

Answers

Answer 1
Answer: t's going to make a difference whether that 4 percent is compounded more 
than once a year. 

We'll do the calculation assuming it's compounded only once a year, and if it 
turns out to be compounded more often than that, then the calculation will 
come out on the low side, and you'll wind up with a little bit more than $3,000. 

P times (1.04)3 = $3,000 

P = 3,000/(1.04)3 = $2,666.980769 or $2,667

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16/8 into a mixed number

Answers

ok well the answer will be 2 because 8+8=16 and 8 can go into 16 2 times.
the answer is 
2/1 
because 8 times 2 is 16 and if  you divide 16 by 8 u will get 2 and 8 divided by 8 is 1

Evaluate A2 for A = 2.3.

Answers

2(a)
if a = 2.3, then substitute in 2.3
2*2.3 = 4.6
well if A is 2.3 then u multiply 2.3 by 2 which is 4.6

The relationship between women's whole-number shoe sizes and foot lengths is an arithmetic sequence, where an is the foot length in inches that corresponds to a shoe size of a n. A women's size 7 fits a foot 9 1/3 inches long, ands women's size 12 fits a foot 11 inches long. What is the explicit formula for the arithmetic sequence? Round to the nearest hundredth, if necessary. an=-17.91 +2.99(n-1), an=-5+2.99(n-1), an=7+0.33(n-1) , an=7.35+ 0.33(n-1)

Answers

Answer:

an=7.35+ 0.33(n-1)

Step-by-step explanation:

The relationship between women's whole-number shoe sizes and foot lengths is an arithmetic sequence, where an is the foot length in inches that corresponds to a shoe size of  n.

We are given values for n=7 and n=12 as a7=9.33 and a12=11

So, we proceed from the options and check which an satisfies these values:

an = 7.35 + 0.33(n-1)

when n = 7:

an = 7.35 + 0.33 (7-1)

an = 9.33

when n = 12:

an = 7.35 + 0.33 (12-1)

an = 10.98≈11

Hence, correct option is:

an=7.35+ 0.33(n-1)

Answer:

D

Step-by-step explanation:

Which problem is being modeled on the number line?

Answers

I don’t see a number line but I can help

Answer:

Step-by-step explanation:

A faucet leaks 4 oz. of water per minute. How many gallons of water are wasted in a year? (128 oz. = 1 gallon)

Answers

Answer:   16,425   gallons are wasted a year

Step-by-step explanation:

First find out how many minutes there  are in a year then multiply it by how much oz the faucet leaks every years then convert it into gallons.

There are 525,600 minutes in a year now multiply it by 4.

525,600 * 4 = 2,102,400  So there are more than 2 million oz  wasted in a year so now convert it to gallons.

If there are 128 oz for every gallons the divide 2,102,400 by 128 to find out how many gallons are wasted a year.

2,102,400 / 128 = 16,425

Final answer:

The faucet wastes 16,425 gallons of water in a year by leaking 4 oz. per minute. This is calculated by first determining the total ounces of water wasted in a year, and then converting it into gallons.

Explanation:

The question wants to know how many gallons of water are wasted in a year by a faucet that leaks 4 oz. of water per minute. To solve this, let's first convert everything into consistent units, and then use simple multiplication to find the answer.

 

First, remember that there are 60 minutes in an hour, 24 hours in a day, and 365 days in a year. Thus, the faucet wastes 4 * 60 * 24 * 365 = 2,102,400 ounces of water in a year.

Now, convert this to gallons. We know that 1 gallon = 128 ounces. Therefore, the faucet wastes 2,102,400 / 128 = 16,425 gallons of water in a year.

Learn more about Water waste calculation here:

brainly.com/question/34334003

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Suppose that an object is dropped from a height of h
meters and hits the ground with a velocity of
v
meters per second. Then
=v19.6h
. If an object is dropped from a height of
15.4
meters, with what velocity does it hit the ground?
Round your answer to the nearest tenth.

Answers

make hours to seconds to match meters
19.6*3600=70560 seconds
And is dropped from a height of 15.4 meters then the velocity will be
15.4m/70560s = 0.0002182539m/s