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Phantasy [73]
3 years ago
13

What is four and one sixth divided by 10

Mathematics
2 answers:
Airida [17]3 years ago
8 0
4(1/6) / 10 = 1/15 is the answer


goldenfox [79]3 years ago
4 0
First, convert your mixed number into a fraction by multiplying 4 and 6 and adding that to the numerator:
4 1/6
4 x 6 = 24
24 + 1 = 25
4 1/6 = <u>25/6</u>
Note that any whole number can be put over one and still be that number. Therefore:
10 = 10/1
Now, our problem is:
 25/6 / 10/1
When you divide fractions, that is the same as multiplying the reciprocal:
25/6 x 1/10
Multiply both the numerator and denominator straight across to get:
25/60
Divide both sides by the GCF, 5, to get:
<u><em>5/12</em></u>
This cannot be simplified any further, so this is the final answer.
Hope this helps!
~<em>ArchimedesEleven</em>

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Sydney invested $440 in an account paying an interest rate of 5.6% compounded daily. Assuming no deposits or withdrawals are mad
stealth61 [152]

Answer:

The time required to get  a total amount of $ 640.00  from compound interest on a principal of $ 440.00  at an interest rate of 5.6% per year  and compounded 365 times per year  is approximately 7 years.

Step-by-step explanation:

Given

  • Principle Amount P = $440
  • Accrued Amount A = $640
  • Interest rate r = 5.6% = 0.056
  • Compounded daily n = 365

To determine:

Time period t = ?

Using the formula

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

solving for t

t = ln(A/P) / n[ln(1 + r/n)]

substituting the values A = 640, P = 440, n = 365 and r = 0.056

t = ln(640/440) / ( 365 × [ln(1 + 0.00015342465753425/365)] )

t = 6.691

t ≈ 7  (nearest year)

Therefore, the time required to get  a total amount of $ 640.00  from compound interest on a principal of $ 440.00  at an interest rate of 5.6% per year  and compounded 365 times per year  is approximately 7 years.

4 0
3 years ago
in 2009 a total of R36 000 was invested in two accounts. One account earned 7% annual interest and the other earned 9% .The tota
Akimi4 [234]

a = amount invested at 7%

b = amount invested at 9%

we know the amount invested was ₹36000, thus we know that whatever "a" and "b" are, a + b = 36000.  We can also say that

\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{7\% of a}}{\left( \cfrac{7}{100} \right)a}\implies 0.07a~\hfill \stackrel{\textit{9\% of b}}{\left( \cfrac{7}{100} \right)b}\implies 0.09b

since we know the interest earned from the invested was ₹2920, then we say that 0.07a + 0.09b = 2920.

\begin{cases} a + b = 36000\\\\ 0.07a+0.09b=2920 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{using the 1st equation}}{a + b = 36000\implies \underline{b = 36000-a}}~\hfill \stackrel{\textit{substituting on the 2nd equation}}{0.07a~~ + ~~0.09(\underline{36000-a})~~ = ~~2920} \\\\\\ 0.07a+3240-0.09a=2920\implies 3240-0.02a=2920\implies -0.02a=-320 \\\\\\ a=\cfrac{-320}{-0.02}\implies \boxed{a=16000}~\hfill \boxed{\stackrel{36000~~ - ~~16000}{20000=b}}

5 0
2 years ago
Can u guys help me please dont steal or guess ( will give brainiest for proof)
Novay_Z [31]

Answer:

30 feet

Step-by-step explanation:

To find the distance use a trigonometric ratio. Since we are looking for the hypotenuse and we are given the opposite side we will be using the ration of sine. We can set up the equation like this by using x as the measure we are looking for.

Sin of x=Opposite leg/Hypotnuse

Sin of 30= 15/x

Multiply by x and then divide by Sin of 30 to isolate the x.

x=15/Sin of 30

Plug it in to a calculator.

x=30

4 0
3 years ago
In right △ABC , the right angle is at C, m∠A=30∘ , and AC=5√ 5 units.
Makovka662 [10]

Answer:

5\sqrt{15}+5\sqrt{5}

Step-by-step explanation:

The core uses the value of the Pythagorean theorem and special angles.

6 0
2 years ago
Find a number which in which added square<br>sum will be 72.​
Tom [10]

Answer:

8.48528137424^2

Step-by-step explanation:

8.48528137424x8.48528137424

= 72

7 0
3 years ago
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