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Elza [17]
3 years ago
5

Jake is building a fence around his property. He wants the perimeter to be no more than 100 feet. He also wants the length to be

at least 30 feet longer than the width. If he builds his fence according to these limits, which would be the maximum possible width of the fence?
Mathematics
1 answer:
scZoUnD [109]3 years ago
8 0

Answer:

35feet

Step-by-step explanation:

equate x+x+30=100,x is the width,x+30 is length

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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>

6 0
4 years ago
Which length is 10 6 times greater than a nanometer?
crimeas [40]
A nanometer (nm) is 10⁻⁹ m.

Therefore
10⁶ x 1 nm = 10⁶(10⁻⁹ m) = 10⁻³ m

By definition,
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Answer: 1 millimeter
8 0
3 years ago
In the cafeteria, 80 juice boxes were put out for breakfast. After breakfast, there were 20 juice boxes left.
olchik [2.2K]

Answer:

The ratio of juice boxes remaining to juice boxes drunk = 20 / 60 = 1/3

Step-by-step explanation:

6 0
3 years ago
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How do I solve this problem below!
mojhsa [17]

Answer:

$5.44

Step-by-step explanation:

$1.75 + $1.26 + $1.08 + $0.52 = $4.56

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3 0
3 years ago
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Which equation matches the statement: "The sum of -4x and 2 is 9"??
neonofarm [45]

Answer:

A

Step-by-step explanation:

sum means addition

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6 0
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