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borishaifa [10]
3 years ago
8

Using a_n=a_1r^{n-1}, what is the 10th term in this geometric sequence?

%2C..." id="TexFormula1" title="0.2,1,5,25,125,..." alt="0.2,1,5,25,125,..." align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Whitepunk [10]3 years ago
5 0
a_n=a_1.r^{n-1}\\
\\
a_{10}=(0.2).5^9\\
\\
a_{10}=(0.2).1,953,125=390,625
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Pizza by the Pan sold 4 dozen pizzas in the afternoon. That night, they sold 2.5 times as many pizzas as they did during the aft
Sav [38]

Answer:

they sold 14 pizzas all day.

Step-by-step explanation:

4 x 2 = 8

0.5 means half of what they sold in the afternoon

4 ÷ 2 = 2

now add them both together to get the number of pizzas they sold at night.

8 + 2 = 10

now add the afternoon and night together

10 + 4 = 14

answer: 14 pizzas

6 0
3 years ago
Cooper has $200 in a savings account. The interest rate is 10% per year and is not compounded. How much interest will he earn in
taurus [48]

Answer:

The interest is $20 per year

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
3 points
stich3 [128]

Step-by-step explanation:

2x + 100 = 90

x = -5

Angle A = 45 - 5 = 40.

6 0
3 years ago
A gift bag is shaped like a rectangular prism and has a volume of 1152 cubic inches. The width of the bag is w, the length is 2w
Dafna11 [192]
1. You must use the formula for calculate the volume of a rectangular prism, which is:

 V=(h)(l)(w)

 V: It is the volumen of the rectangular prism (V=1152 inches³).
 h: It is the height of the rectangular prism (h=18-w).
 l:It is the lenght of the rectangular prism (l=2w+4).

 2. When you substitute these calues into the formula, you obtain:

 V=(h)(l)(w)
 1152=(18-w)(2w+4)(w)
 (18-w)(2w+4)(w)-1152=0

 3. Then, you should mutiply them:

 36w²-2w³+72w-4w²-1152=0
 32w²-2w³+72w-1152=0

 4. When you factor, you obtain:

 2(w-16)(w-6)(w+6)

 w1=16
 w2=6
 w3=-6

 5. The problem says that the height is greater than the width, therefore, the widht is:

 w=6 inches

 6. The length is:

 l=2w+4
 l=2(6)+4
 l=16 inches

 7. And the height is:

 h=18-w
 h=18-6
 h=12 inches

 What are the dimensions of the bag?

 The dimensions of the bag are:

 l=16 inches
 h=12 inches
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8 0
3 years ago
Find the distance between points A (10,-1) and B (-2,5). Round to the nearest tenth
bija089 [108]

Answer:

<h2>The answer is 13.4 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2}  +  ({y1 - y2})^{2} }  \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A (10,-1) and B (-2,5)

The distance is

|AB|  =  \sqrt{ ({10 + 2})^{2} +  ({ - 1 - 5})^{2}  }  \\  =  \sqrt{ {12}^{2}  +  ({ - 6})^{2} }  \\  =  \sqrt{144 + 36}  \:  \:  \:  \:  \:  \:  \:   \\  =  \sqrt{180}  \\  = 6 \sqrt{5}  \:  \:  \\  =13.416407

We have the final answer as

<h3>13.4 units to the nearest tenth</h3>

Hope this helps you

7 0
3 years ago
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