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Dmitrij [34]
3 years ago
15

We would like to cut exactly 160 meters of wire. Instead of measuring the length, we measure the weight. It is known that 3 mete

rs of wire weighs 75 grams.
If x meters of wire weighs y grams, express y in terms of x.

What is the weight of 160 meters of wire?
Mathematics
1 answer:
ivanzaharov [21]3 years ago
7 0
The weight is 4000 grams, or 4 kg
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A total of $12,000 is invested at an annual interest rate of 9%. Find the balance
sineoko [7]

Answer:

$18,726.11

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

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

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

<em />

First lets change 9% into a decimal:

9% -> \frac{9}{100} -> 0.09

Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:

A=12,000(1+\frac{0.09}{4})^{4(5)}

A=18,726.11

<u>The balance after 5 years is $18,726.11</u>

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3 years ago
Imagine a clock with the hour hand at 12 and the minute hand at 2. does the angle formed by the two hands have a measure greater
myrzilka [38]
Yes it is greater, 1/4 would be a v shape. the question is 90 degrees the other is approximately 25 degrees. hope this helps!
6 0
3 years ago
A system of equations and its solution are given below.
Fittoniya [83]
Answer: Option <span>C. To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by -3. The solution to system B will be the same as the solution to system A.

First equation of system A multiplied by -3:
(-3)(x+6y=5)
(-3)(x)+(-3)(6)=(-3)(5)
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Sum of the second equation of system A and the first equation multiplied by -3:
(-3x-18)+(3x-7y)=(-15)+(-35)
-3x-18+3x-7y=-15-35
-25y=-50

System B
x+6y=5
-25y=-50 </span>
4 0
3 years ago
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Cameron surveys every tenth student who walks into school to determine the favorite type of movie of students in his school. wha
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So every 1 out of 10 students is checked also is there anymore to this question?
5 0
3 years ago
After 5.75 hours, Kyler had finished painting 62.5% of his house. He needs to paint a total of 4,000 square feet on his house. A
MissTica
First, we are going to find the painted area of his house. We know that the total area he needs to paint is 4000 square meters, so 4000 is the area of this house. Now, to find the 62.5% of that area, we are going to multiply it by \frac{62.5}{100}:
Painted area= (4000)(\frac{62.5}{100})=2500

Now, to find <span>rate, in square feet per hour, we are going to divide the painted area by the number of hours: 
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We can conclude that Kyler paints at a rate of 434.78 square feet per hour.
8 0
3 years ago
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