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arsen [322]
3 years ago
10

5/6n=10

}{?} " align="absmiddle" class="latex-formula">
5/6n=10
Mathematics
2 answers:
anyanavicka [17]3 years ago
5 0

\bf \cfrac{5}{6}n=10\implies \cfrac{5n}{6}=10\implies \stackrel{\textit{cross-multiplying}}{5n=60}\implies n=\cfrac{60}{5}\implies n=12

Anna71 [15]3 years ago
4 0

For this case we must clear the value of "n" from the given equation.

Sea\frac {5} {6} n = 10

We multiply by 6 on both sides of the equation:

\frac {5 * 6} {6} n = 10 * 6\\\frac {30} {6} n = 60\\5n = 10 * 6\\5n = 60

We divide between 5 on both sides of the equation:

\frac {5n} {5} = \frac {60} {5}\\n = 12

Answer:

n = 12

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The answer is 2.95 (correct to 2 decimal places)
Ulleksa [173]

Answer:

2.947

2.946

2.948

2.949

2.945

Step-by-step explanation:

all decimal points are 5 or greater so you round up.

6 0
3 years ago
wyatt opend a savings account 4 years ago. the account earns 4%interest compounded quarterly if the current balance is $1,000.00
Doss [256]

Answer:

He deposited initially $852.82

Step-by-step explanation:

The rule of the compound interest is A=P(1+\frac{r}{n})^{nt}, where

  • A is the new amount
  • P is the initial amount
  • r is the rate in decimal
  • n is the period of the time
  • t is the time

∵ Wyatt opened a savings account 4 years ago

∴ t = 4

∵ The account earns 4% interest compounded quarterly

∴ r = 4% = 4 ÷ 100 = 0.04

∴ n = 4 ⇒ compounded quarterly

∵ The current balance is $1,000.00

∴ A = 1,000

→ Substitute these values in the rule above to find P

∵ 1,000 = P(1+\frac{0.04}{4})^{4(4)}

∴ 1,000 = P(1+0.01)^{16}

∴ 1,000 = P(1.01)^{16}

→ Divide both sides by  (1.01)^{16}

∴ 852.8212622 = P

→ Round it to the nearest cent (2d.p)

∴ P = 852.82

∴ He deposited initially $852.82

4 0
3 years ago
Solve for y.<br>4y - 3y = 16<br>y=​
Lady_Fox [76]

Answer:

y = 16

Step-by-step explanation:

4-3 is 1 also known as y

therfor y = 16

7 0
3 years ago
How does the relationship between multiplication and division help you divide rational numbers?
Kisachek [45]
A rational number is one which can be represented using fractions. The opposite of division is multiplication and vice versa. Knowing this information, you can easily go about turning a division of two fractions into the multiplication of two fractions.
Ex.
(1/2) / (3/4) = ?
multiply the denominator of your fraction by the reciprocal of the denominator.
(1/2)*(4/3) / (3/4)*(4/3)
(4/6) / 1 = 4/6
So when dividing rational numbers, you can multiply the denominator by its reciprocal. This would be an example of converting a division problem into a multiplication one
3 0
4 years ago
Read 2 more answers
Researchers are monitoring two different radioactive substances. They have 300 grams of substance A which decays at a rate of 0.
Korolek [52]

Answer:

231.59 years

Step-by-step explanation:

To model this situation we are going to use the exponential decay function:

f(t)= a (1-b)^t

where f(t) is the final amount remaining after t years of decay

a is the final amount

b is the decay rate in decimal form

t is the time in years

For Substance A:

Since  we have 300 grams of the substance, a=300. To convert the decay rate to decimal form, we are going to divide the rate by 100%:

r = 0.15/100 = 0.0015. Replacing the values in our function:

f(t) = a (1-b)^t

f(t) = 300 (1-0.0015)^t

f(t) = 300 (0.9985)^t equation (1)

For Substance B:

Since we have 500 grams of the substance, a= 500. To convert the decay rate to decimal form, we are going to divide the rate by 100%:

r=0.37/100= 0.0037. Replacing the values in our function:

f(t) = a (1-b)^t

f(t)= 500 (1-0.0037)^t

f(t)=500(0.9963)^t equation (2)

Since they are trying to determine how many years it will be before the substances have an equal mass M, we can replace f(t) with M in both equations:

M=300(0.9985)^t equation (1)

M=500(0.9963)^t equation (2)

We can conclude that the system of equations that can be used to determine how long it will be before the substances have an equal mass, M, is :

{M=300(0.9985)^t

{M=500(0.9963)^t

7 0
3 years ago
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