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MrRissso [65]
4 years ago
8

the first term in a geometric series is 64 and the common ratio is 0.75. Find the sum of the first 4 terms in a series.

Mathematics
1 answer:
Rufina [12.5K]4 years ago
6 0

hi

u0 = 64       with  u(n+1) = un *0.75  

u3 =  64 *0.75^3   = 27

sum is :      64 *  ( 0.75^4 -1)  / 0.75-1  = 175

manual proof :    64 + 48+36+27 = 175

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Mr. And Mrs. Harper are planning to install a deck and a garden. Help them determine which of the two choices below is most effi
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Answer:

Plan A

Step-by-step explanation:

To find the better plan, you must find which plan has a bigger area.

First, we're going to find Plan A using the area formula (A = L * W)

A = L * W

A = 18 * 25

A = 450

Now we must find the area of the garden.

A = 9 * 12

A = 108

Add both areas together to get the area of Plan A.

450 + 108 = 558. Plan A has an area of 558 feet.

Second, Now we're going to find Plan B's area using the circle formula and area formula.

To find the area of the deck, use the formula.

A = L * W

A = 16 * 20

A = 320  

Now we will find the area of the garden.

Since the garden is a circle and we are given the radius, we will use the formula A = πr²

A = 3.14 * 5²

A = 3.14 * 25

A = 78.5

Now add both areas together.

78.5 + 320 = 398.5. Plan B has an area of 398.5 feet.

558 > 398.5, so <u>Plan A is more efficient, judging solely on size.</u>

4 0
3 years ago
A rectangular one story house covers an area of 3,700 square feet. The ceilings are 8 feet high. What is the volume of the inter
notsponge [240]

Answer:

43100 cubic feet

Step-by-step explanation:

Floor 1: 3700 * 8 = 29600

Floor 2: 50 * 30 * 9 = 13600

Total = 29600+13600=43100

8 0
3 years ago
A textbook store sold a combined total of 460 physics and math textbooks in a week. The number of math textbooks sold was 62 les
sergij07 [2.7K]

Number of physics textbooks sold was 261 & number of maths textbooks sold was 199.

Let, the number of physics textbooks sold = x

According to the question,

The number of math textbooks sold was 62 less than the number of physics textbooks sold.

So, Number of maths textbooks sold = x-62

The textbook store sold a combined total of 460 physics and math textbooks in a week.

So, the equation becomes,

(x-62)+x = 460

⇒ x-62+x = 460

⇒ 2x-62 = 460

⇒ 2x = 460+62

⇒ 2x = 522

⇒ x = 522/2

⇒ x = 261

So, 261 physics textbooks were sold

(261-62) = 199 maths textbooks were sold.

Learn more about equation here :

brainly.com/question/27893282

#SPJ10

5 0
2 years ago
Find the area (hint: find the value of x first)
lidiya [134]

Answer:

C. 128 in²

Step-by-step explanation:

We know that the opposite sides of rectangles are congruent, so 8 = 2x. If we divide 8 by 2 and 2x by 2, we get x = 4.

  • This means that the other side length, (3x + 4), equals 3(4) + 4 = 12 + 4 = 16 inches

Now, the area of a rectangle is l × w, where l = length and w = width. The dimensions of this rectangle are 8 and 16, so 8 × 16 = 128 in².

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The table shows the decay rate for a certain radioactive material over time. In this context, what does the y-intercept represen
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Answer:

At 0 hours, there are 100 grams of the substance remaining.

Step-by-step explanation:

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2 years ago
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