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e-lub [12.9K]
3 years ago
11

Suppose that 18 inches of wire costs 54 cents.

Mathematics
2 answers:
matrenka [14]3 years ago
8 0

Answer:

162 cents

Step-by-step explanation:

18 times 3 to get 54 then do 54 times 3 is 162

Zinaida [17]3 years ago
4 0

Answer:

159 cents

Step-by-step explanation:

divide the cost of 18 inches (54) by 18 inches to get the price per inch of wire. That leaves you with 3. Multiply the price per 1 inch (3 cents) by the amount of wire you need (53 inches) to get your price of 159 cents.

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We are given the following information

Investment = $5200

Annual interest rate = 4.2% = 0.042

Final amount = $16,500

Number of years = 27.7 years

Number of compoudings = quartely = 4

The student uses the following model

V(t)=5200(1.014)^{3t}

The general formula for compound interest is given by

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

As you can see, the number of compoundings is incorrect (3 vs 4)

The interest rate is also incorrect.

Let us substitute the given values into the above formula

\begin{gathered} V(t)=P(1+\frac{r}{n})^{nt} \\ V(t)=5200(1+\frac{0.042}{4})^{4\cdot27.7} \\ V(t)=5200(1+0.0105)^{110.8} \\ V(t)=5200(1.0105)^{110.8} \\ V(t)=\$16543.5^{} \end{gathered}

Therefore, the final amount is approximately $16,543.5

5 0
1 year ago
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Setler79 [48]

Answer:

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Step-by-step explanation:

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3 years ago
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3 years ago
What is the mean? If the answer is a decimal, round it to the nearest tenth.
Vlad1618 [11]

Answer:

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The rule we use here is \frac{a^b}{a^c} = a^{b-c}

If the font size is too small, then it says (a^b)/(a^c) = a^(b-c)

We subtract the exponents when dividing exponentials like this. The bases must be the same.

So this means the exponents 13 and 3 subtract to get 13-3 = 10

We either have an exponent of "13-3" or an exponent of "10" as an equivalent expression. The base stays at 2 the entire time.

6 0
2 years ago
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