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pav-90 [236]
3 years ago
5

Express 960% as a mixed number

Mathematics
2 answers:
maksim [4K]3 years ago
8 0

Answer:

9 3/5

Step-by-step explanation:

When we see a percentage, we know that the base is 100. In other words, 960% is equal to 960/100

With this, its just a matter of transforming the improper fraction to a mixed number.

100 fits 9 times in 960 so there will be 9 wholes

the remaining 60/100 can be simplified to 3/5 through this process:

60/100 = 6/10 = 3/5

lesya692 [45]3 years ago
3 0

Answer:

9 3/5

Step-by-step explanation:

Step 1: Write down the percent divided by 100 like this:

960% = 960/100

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As 960 is an integer, we don't have numbers after the decimal point. So, we just go to step 3.

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(960,100) = 20. So,

(960÷20)/(100÷20) = 48/5 when reduced to the simplest form.

As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 960/100 is also equal to 9 3/5 when expressed as a mixed number.

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klasskru [66]

Answer: -x^2-2x-1

Step-by-step explanation:

3 0
3 years ago
Seth has a bank account which pays 1.01% interest, compounded quarterly. Seth withdraws $4,567 from the account every quarter fo
dimulka [17.4K]

Answer:

C. $538,021.66

Step-by-step explanation:

It is given that the money Seth withdraws was compounded every quarter for 35 years. So, we get,

Amount withdrawn every quarter, P = $4567

Rate of interest, r  = \frac{0.0101}{4} = 0.002525

Time period, n = 35 × 4 = 140

Now, as we know the formula for annuity as,

P=\frac{r \times PV}{1-(1+r)^{-n}}

where P = installments, PV = present value, r = rate of interest and n = time period.

This gives, PV=\frac{P \times [1-(1+r)^{-n}]}{r}

i.e. PV=\frac{4567 \times [1-(1+0.002525)^{-140}]}{0.002525}

i.e. PV=\frac{4567 \times [1-(1.002525)^{-140}]}{0.002525}

i.e. PV=\frac{4567 \times [1-0.7021]}{0.002525}

i.e. PV=\frac{4567 \times 0.2975}{0.002525}

i.e. PV=\frac{1358.68}{0.002525}

i.e. PV=538,091.08

So, the closest answer to initial value of the account is $538,021.66

Hence, option C is correct.

6 0
4 years ago
Read 2 more answers
11. The length of a rectangle is 2 more than the width. The perimeter is 32. Find the
Oduvanchick [21]

Answer:

length = 9, width = 7

Step-by-step explanation:

length = l, also w+2                 width = w

perimeter = 2w + 2l

create an equation: 32 = 2(w) + 2(w+2)

simplify

32 = 2w+2w+4

32 = 4w+4

28=4w

w=7

solve for length

l = w+2

l=7+2

l=9

4 0
3 years ago
Solve the system of equations.<br> - 5x – 3y - 9 = 0<br> 4x – 187 - 54 = 0
liberstina [14]

Answer:

Step-by-step explanation:

Solve simultaneously

-5x-3y=9

4x-187-54=0

4x=241

x=60.25

To get y

Substitute for x in equal one

-5(60.25)-3y=9

-301.25-3y=9

-3y=9+301.25

-3y=310.25

y=-103.4

8 0
3 years ago
A soccer team played 25 games last season. They won 16 games, lost 5 games, and tied the rest.
goldenfox [79]

Answer:

16% or 4/25

Step-by-step explanation:

16 + 5 = 21

25 - 21 = 4

4/25 = 16%

This is right because 21/25 is 84% and 84% + 16% = 100%

6 0
3 years ago
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