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Lyrx [107]
3 years ago
13

What is 4 2/7 ⋅ 2 1/5 ?

Mathematics
2 answers:
Solnce55 [7]3 years ago
4 0

Answer:

The answer is 9 3/7

Step-by-step explanation:

Vikki [24]3 years ago
3 0

Answer: 9 and 3/7

Step-by-step explanation: To multiply a mixed number by a mixed number, we first want to write each mixed number as an improper fraction.

We can write a mixed number as an improper fraction by multiplying the denominator by the whole number and adding the numerator.

We can change 4\frac{2}{7} to the improper fraction 30/7.

We can also change 2\frac{1}{5} to the improper fraction 11/5.

Now, we are simply multiplying fractions. To multiply fractions, we multiply across the numerators and multiply across the denominators. When we multiply these fractions, we will end up with the fraction 330/35. Since 330/35 is not in lowest terms, we need to divide both the numerator and denominator by the greatest common factor of 330 and 35 which is 5 and we will get the improper fraction 66/7.

Notice however that 66/7 can be changed into a mixed number by dividing the denominator which is 7 into the numerator which is 66.

66 divided by 7 equals 9 with a remainder of 3 so we can write 66/7 as the mixed number 9 and 3/7.

Therefore, 4 and 2/7 × 2 and 1/5 = 9 and 3/7

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NO LINKS!!! Kim invested $5000 in Mutual fund at 6% compounded quarterly. Write an equation to represent this situation. When wi
Ira Lisetskai [31]

Answer:

Equation is  A = 5000(1.015)^(4t)

Her investment will be worth $10,000 in about <u>11.63888 years</u>

Rounding up to the nearest whole number gets to <u>12 years</u>

==========================================================

Explanation:

Part 1) Finding the equation

The compound interest formula is

A = P(1+r/n)^(n*t)

Here are the variables

  • A = final amount
  • P = starting amount, or deposit, or principal
  • r = interest rate in decimal form
  • n = number of times money is compounded per year
  • t = number of years

In this case,

  • P = 5000
  • r = 0.06 from the 6% annual interest
  • n = 4 times a year is the compounding frequency
  • t = unknown amount of time

Therefore, the equation is

A = P(1+r/n)^(n*t)

A = 5000(1+0.06/4)^(4t)

A = 5000(1.015)^(4t)

The decimal value is exact.

--------------------------

Part 2) Let's plug in A = 10,000 and solve for t.

You'll need to use logarithms to isolate the exponent.

A = 5000(1.015)^(4t)

10,000 = 5000(1.015)^(4t)

10,000/5000 = (1.015)^(4t)

2 = (1.015)^(4t)

Log[ 2 ] = Log[ (1.015)^(4t) ]

Log(2) = 4t*Log( 1.015 )

4t = Log(2)/Log(1.015)

4t = 46.5555256308062

t = 46.5555256308062/4

t = 11.6388814077015

t = 11.63888

It takes about 11.63888 years for the investment to reach $10,000.

Therefore, at the 12 year mark is when the investment is more than $10,000.

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Step-by-step explanation:

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