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svp [43]
3 years ago
8

Paul needs to buy 5/8 pounds of peanuts. the scale at the store measures parts of a pound in sixteenths. what measures equivalen

t to 5/8 pound
Mathematics
1 answer:
qaws [65]3 years ago
7 0
10/16 of a pound is = 5/8 of a pound
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A person invest $1200 in an account that earns 2% interest compound quarterly. Find when the value of the investment reaches $15
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Answer:

After 11 years the value of the investment reaches $1500.00

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Step-by-step explanation:

The formula used for finding time (when the value reaches certain amount) is:

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

where A= Future VAlue

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Dividing both sides by 1200 and solving 0.02/4 = 0.005

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Since t is in power we take the logarithm ln on both sides.

The rule of logarithm says that the exponent can be multiplied with the base when taking log

\ln1.25=ln( 1.005)^{4t}\\\ln1.25=4t * ln( 1.005)\\0.22 = 4t * 0.005\\Solving\,\,\\\frac{0.22}{4*0.005} = t\\=> t= 11\, years

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Why do whole numbers raised to an exponent get bigger while fractions raised to an exponent get smaller
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if you were to multiply a smaller number though, it wouldn't get as big.

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Fractions get smaller for this reason when you have the fraction 2/3 raised to the second, both numbers must be raised. 2 to the second equals 4 while 3 to the second is 9.

1/2 to the second would then equal 1/4 since 1 to the second equals 1 and 2 to the second equals 4.

Step-by-step explanation:

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Step-by-step explanation:


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