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Svetllana [295]
3 years ago
8

Lisa is cutting a 14-inch piece of paper into 0.4-inch strips. How many strips of paper will she have when she is finished?

Mathematics
2 answers:
BartSMP [9]3 years ago
8 0

Answer:  2. 35

Step-by-step explanation:

Given : Lisa is cutting a 14-inch piece of paper into 0.4-inch strips.

The number of strips of paper she will have when she is finished will be :-

\dfrac{14}{0.4}=\dfrac{14\times10}{4}=35

Therefore, the number of strips of paper she will have when she is finished = 35

QveST [7]3 years ago
5 0
35 pieces since 14/.4 is 35.
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If $1,000 is invested at 4% simple interest, how much will the investment be worth after 2 years? Please explain how compound an
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<h3>Answer:</h3>
  • simple interest: $1080.00
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<h3>Step-by-step explanation:</h3>

<em>Simple Interest</em>

Simple interest is computed on the principal amount only. Each year, 4% of the principal is added to the balance. So, at the end of 2 years, the balance is ...

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<em>Comment on the computation</em>

The added interest is the rate (per year) multiplied by the number of years. Here, that is 0.04×2×(principal amount). The formula for the simple interest earned is often seen as ...

... I = Prt . . . . . where I is the amount of interest, P is the principal amount, r is the interest rate for the time period, t is the number of time periods.

The account balance (A) with interest added is ...

... A = P + I = P + Prt

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Here, the time period is years, and the rate given is an annual rate.

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<em>Compound Interest</em>

Compound interest is computed on the <em>account balance</em> at the beginning of the period, not just the <em>principal</em> amount. After the first period, the account balance includes interest earned so far. So, the interest is earning interest. That is why it is called compounded interest.

Here, the balance at the end of the first year is the principal amount plus the interest that has earned:

... $1000 + 0.04×$1000 = $1000×1.04 = $1040.00

The balance at the end of the second year when the interest is compounded is this account balance plus the interest it earns:

... $1040 + 0.04×$1040 = $1040×1.04 = $1081.60

You may notice that the intial principal, $1000, has been multiplied by the factor 1.04 twice. Using exponents, the multiplier for a period of 2 years is 1.04×1.04 = 1.04².

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<em>Comment on the computation</em>

The multiplier of the account balance each year is raised to a power that is the number of years. Here, the account balance at the end of 2 years is (1+0.04)² times the principal amount. A formula that is seen for this is ...

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7 0
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Triangle XYZ is shown, where n ≥ 5. Triangle X Y Z is shown. The length of side X Y is n + 4, the length of side Y Z is 2 n, and
motikmotik

Answer:

The longest side of the triangle is YZ, the shortest side is ZX, the largest angle is ∠X and the smallest angle is ∠Y.

Step-by-step explanation:

The lengths of the sides of the triangle XYZ are as follows:

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According to the triangle inequality theorem, the sum of two sides of a triangle is always greater than the third side.

Then,

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The answer to this equation is C.
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