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sleet_krkn [62]
3 years ago
15

What is the sum of this infinite geometric series

Mathematics
1 answer:
nordsb [41]3 years ago
4 0

You probably know that for |r|, we have

\displaystyle\sum_{i=0}^\infty ar^i=\dfrac a{1-r}

Your sum starts at i=1, so it's equivalent to

\displaystyle\sum_{i=1}^\infty 12\left(\dfrac12\right)^i=\sum_{i=0}^\infty 12\left(\dfrac12\right)^i-12\left(\dfrac12\right)^0=\dfrac{12}{1-\frac12}-12=12

so the answer is A.

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Marissa deposited $3,900 into a savings account. How much will Marissa have in her account after 7 years and 6 months at a yearl
REY [17]

Marissa wants to know how much she would make using the simple interest calculation.

She will have $4,432.35

Given data

Principal = $3,900

Time = 7 years 6 months = 7.5 years

Rate = 1.82%

I = A - P = $532.35

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 1.82%/100 = 0.0182 per year.

Solving our equation:

A = 3900(1 + (0.0182 × 7.5)) = 4432.35

A = $4,432.35

The total amount accrued, principal plus interest, from simple interest on a principal of $3,900.00 at a rate of 1.82% per year for 7.5 years is $4,432.35.

Learn more about simple interest here:

brainly.com/question/20690803

3 0
2 years ago
How long does it take for a car to travel 250 feet at 35 mph?
DedPeter [7]
A little over 7 hours
5 0
3 years ago
The equation SA= 652 can be used to calculate the surface area, SA, of a cube with side length 8. What is the surface area, in s
enot [183]

Answer:

hi

Step-by-step explanation:

8 0
3 years ago
A random two digit number (10-99) is drawn. Find P(odd number)
Mars2501 [29]

Answer:

P(odd number) = 0.5

Step-by-step explanation:

There are 90 members in the set (10, 11, 12, .. , 97, 98, 99)

When we have an even number of consecutive numbers, the number of even numbers equals the number of odd numbers. This means that half of the numbers in this set are even and half of them are odd.

So the probability of P(odd number) = 0.5

8 0
3 years ago
Angle JKL is 54 degrees. What is the measure of angle MKL? *
hoa [83]

Answer:

MKL = 36°

Step-by-step explanation:

(3x + 6) + (6x + 12) = 54°

3x + 6x + 6 + 12 = 54

9x + 18 = 54

9x = 54 - 18

9x = 36

x = 36/9

x = 4

MKL = 6x + 12

MKL = 6(4) + 12

MKL = 24 + 12

MKL = 36°

6 0
3 years ago
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