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enot [183]
2 years ago
10

What is the 8th term in the geometric sequence described by this explicit

Mathematics
1 answer:
valentina_108 [34]2 years ago
8 0

Answer:

The 8th term in the geometric sequence described by this explicit formula is 384.

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Does anyone remember how to do this???? i dont need the steps.
Paladinen [302]

Answer:

im sorry I actually forgot

Step-by-step explanation:

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4 0
2 years ago
Kamran wins the big game lottery. He invests part of his winnings in treasury bonds promising a 5% annual return and he deposits
Ostrovityanka [42]

Answer:

Amount won by Kamran = $21,450

Step-by-step explanation:

This can be calculated using the following 3 steps:

Step 1: Calculation of the amount invested in treasury bonds

Since the limit to the duration of investment is not stated, the amount invested can be calculated using the formula for calculating the present value of a perpetuity as follows:

PV = P / r …………………………………. (1)

Where;

PV = Present value or the amount invested treasury bonds = ?

P = Annual return on his investments = $661.25

r = Annual rate of return = 5%, or 0.05

Substitute the values into equation (1), we have:

PV = $661.25 / 0.05 = $13,225

Step 2: Calculation of the amount deposited in the money market account

From Step 1 above, we have:

Amount invested treasury bonds = $13,225

Since he invests $5000 more in treasury bonds than he deposits in the money market account, the amount deposited in the money market account can be calculated as follows:

Amount deposited in the money market account = Amount invested treasury bonds - $5,000 = $13,225 - $5,000 = $8,225

Step 3: Calculation of the amount won by Kamran

Amount won by Kamran = Amount invested treasury bonds + Amount deposited in the money market account = $13,225 + $8,225 = $21,450

7 0
2 years ago
A fair die is cast four times. Calculate
Anestetic [448]

Answer:

0.1319 or 13.2%

Step-by-step explanation:

You can solve this using the binomial probability formula.

The fact that "obtaining at least two 6s" requires you to include cases where you would get three and four 6s as well.

Then, we can set the equation as follows:

P(X≥x) = ∑(k=x to n) C(n k) p^k q^(n-k)

n=4, x=2, k=2

when x=2  (4 2)(1/6)^2(5/6)^4-2 = 0.1157

when x=3  (4 3)(1/6)^3(5/6)^4-3 = 0.0154

when x=4 (4 4)(1/6)^4(5/6)^4-4 = 0.0008

Add them up, and you should get 0.1319 or 13.2% (rounded to the nearest tenth)

4 0
2 years ago
Jesselyn made 6 muffins. She used 3/8 teaspoon of baking powder for each muffin. How much baking powder did Jesselyn use for all
bezimeni [28]

Answer:

C

Step-by-step explanation:

Multiply the number of muffins by how much baking powder is in each muffin. That's read as 6/1 × 3/8 which equals 18/8.

6 0
2 years ago
Adam is building birdhouses that requires 1/2-ft-long boards. How many pieces that are exactly 1/2 ft long can be made from a bo
Julli [10]

Answer:

16

Step-by-step explanation:

Adam is building birdhouses that requires \frac{1}{2} i.e 0.5 feet long boards.

Now, he has an 8\dfrac{1}{4} i.e. 8.25 feet longboard and wants to cut each 0.5 feet longboards.

We have to calculate the number of pieces of exactly 0.5 feet length that can be made from this 8.25 feet longboard.

Now, \frac{8.25}{0.5}= 16.5

So, there can be 16 whole board of exact length 0.5 feet. (Answer)

4 0
3 years ago
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