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andreev551 [17]
4 years ago
11

The first five terms of a pattern are given below. 38, 41, 44, 47, 50.... Which expression can be used to determine the nth term

of the pattern? A. 35 + 3n B. 41 - 3n C. 40 - 2n D. 36 + 2n
Mathematics
1 answer:
vodomira [7]4 years ago
4 0

Answer:

A

Step-by-step explanation:

a = 38

d = 41 - 38 = 3

nth term = 38 + 3(n-1)

= 38 + 3n - 3

= 35 + 3n

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At what rates percent compound interest will Rs2000 amount to Rs 2420 in 2 years. ​
igor_vitrenko [27]

The interest rates required to get a total amount of $2,420 from compound interest on a principal of $2,000 compounded 1 times per year over 2 years is 10% per year.

<h3>What is compound interest?</h3>

The interest on savings that is calculated on both the initial principal and the interest accrued over time is known as compound interest.

The concept of compound interest, also known as "interest on interest," is thought to have first appeared in Italy in the 17th century. It will accelerate the growth of a sum more quickly than simple interest, which is calculated only on the principal sum.

Money is multiplied more quickly through compounding, and the more times it is compounded, the higher the compound interest will be.

Using the formula A = P(1 + r/n)^nt

Solving for rate r as a decimal

r = n[(A/P)^(1/nt) - 1]

r = 1 × [(2,420/2,000)^{1/(1)(2)} - 1]

r = 0.1

Then convert r to R as a percentage

R = r × 100

R = 0.1 × 100

R = 10%/year

Learn more about compound interest

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4 0
1 year ago
Evaluate 4-2f when f=1
balandron [24]
4-2(1)=
4-2=2
So basically the answer is 2
8 0
4 years ago
You usually buy a 5.4 ounce bottle of lotion. There is a new bottle that says it gives you 20% more free. Write an equation to b
natka813 [3]
20% is 1/5 more so it is 1 1/5 times the size of the smaller one. 1 1/5 is 1.2 as a decimal (also 120% divided by 100).

Let's take the smaller bottle to be y.

x=1.2y
x=1.2*5.4=6.48 ounces.
5 0
3 years ago
Read 2 more answers
The first five terms of a pattern are shown.
Andrej [43]

Answer:

C

Step-by-step explanation:

There is a common ratio between consecutive term in the sequence, that is

\frac{3}{10} ÷ \frac{3}{100} = 3 ÷ \frac{3}{10} = 30 ÷ 3 = 300 ÷ 30 = 10

This indicates the sequence is geometric with n th term

a_{n} = a(r)^{n-1}

where a is the first term and r the common ratio

Here a = \frac{3}{100} and r = 10 , thus

a_{n} = \frac{3}{100} (10)^{n-1}

    = \frac{3}{10^{2} } × 10^{n-1}

    = 3 × 10^{-2} × 10^{n-1}

    = 3 × 10^{n-3}

Thus

a_{n} = 3(10)^{n-3} → C

6 0
3 years ago
How many minutes does it take a man to walk a mile if he walks at a rate of 4 feet per second
Serjik [45]

Answer:

1,320 seconds or 22 minutes to walk 1 mile

Step-by-step explanation:

5280 feet (1 mile) ÷ 4 feet per second = 1,320 seconds or 22 minutes

3 0
4 years ago
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