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Ede4ka [16]
3 years ago
6

What is 25% of 24? What is 15% of 60? 9 is what percent of 72

Mathematics
1 answer:
JulsSmile [24]3 years ago
7 0

Answer:

6

9

6.48

Step-by-step explanation:

this is the easiest way to solve for percentage:

\frac{part}{whole} =\frac{part}{whole}  Where all the percents (except 100) would go in part

and the whole number would go in whole

\frac{25}{100} =\frac{?}{24}  Then multiply 24 × 25 ÷ 100 = 6

\frac{15}{100} =\frac{?}{60}  Multiply 60 by 25 then divided by 100 = 9

Then for the last one 9 is what percent of 72

all we have to do is multiply 9 and then convert 72 into a decimal (0.72)

Then 9 × 0.72 = 6.48

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Find the recursive rule, explicit rule, and f(20)
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Explicit:

f(n)=35+10(n-1)

And the 20th term is 225.

Step-by-step explanation:

We have the sequence:

35, 45, 55, 65.

Notice that each subsequent term is 10 more than the previous term.

Therefore, our common difference is (+)10.

Recursive Rule:

The standard format for the recursive rule is:

f(n)=a, f(n)=f(n-1)+d

Where a is the initial term and d is the common difference.

From our sequence, we know that a the initial term is 35.

And as determined, our common difference d is 10.

Substitute. Hence, our recursive rule is:

f(1)=35, f(n)=f(n-1)+10

Explicit Rule:

The standard format for the explicit rule is:

f(n)=a+d(n-1)

Where a is the initial term and d is the common difference. So, let’s substitute 35 for a and 10 for d. Hence, our explicit formula is:

f(n)=35+10(n-1)

Now, let’s find the 20th term. We will utilize the explicit rule since the recursive rule can get tedious. Substitute 20 for n because we would like to 20th term. Thus:

f(20)=35+10(20-1)

Evaluate:

\begin{aligned} f(20)&=35+10(19) \\ f(20)&=35+190 \\ f(20)&=225 \end{aligned}

Hence, the 20th term is 225.

5 0
3 years ago
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