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elena-s [515]
3 years ago
15

Use explicit formula to find the 10th of each geometric sequence

Mathematics
1 answer:
Sindrei [870]3 years ago
3 0

Answer:

1. 1*9^(10-1) = 387,420,489

2.2*4^(10-1) = 524,288

Step-by-step explanation:

The explicit formula for a geometric sequence is a1 * r^n-1

Where a1 is your first term, r is your ratio, and n is the amount of terms you want in the sequence

To solve for the 10th number in the sequence, we simply plug 10 in for n.

Hope this helps

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I need help. A building with a height of 48 m casts a shadow that is 30 m long. A person standing next to the building casts a s
lutik1710 [3]

Answer:

1.28 m

Step-by-step explanation:

48/30 = x/.8

cross multiply

30x = 48(.8)

30x = 38.4

x = 38.4/30

x = 1.28 m

8 0
3 years ago
What is the sales of volume V, of a particular product with a net income of $5000 given a sales price of $40, a variable cost of
iVinArrow [24]

Answer:

The sales of volume V, of a particular product with a net income of $5000 given a sales price of $40, a variable cost of $15?and $1000 in fixed cost is 240

Step-by-step explanation:

Given:  

Net income= $5000

sales price= $40

variable cost =$15 and $1000

To Find:

sales of volume V=?

Solution:

We Know that  

\text {Income}=40 * x

Where x=  number of units sold

Similarily,  

\text { Net Income }=40 \mathrm{x}-\text { VARIABLE } \cos \mathrm{T} * \mathrm{x}-1000

Substituting the known values,

\text { Net Income }=40 \mathrm{x}-\text{VARIABLE COST} * \mathrm{x}-1000

5000=40 \mathrm{x}-15 * \mathrm{x}-1000

Sloving the equation,

5000=40 \mathrm{x}-15 \mathrm{x}-1000

5000=25 \mathrm{x}-1000

5000+1000=25 \mathrm{x}

6000=25 \mathrm{x}

x=\frac{6000}{25}

x=240

 

5 0
3 years ago
How to solve 4(5x-7)=10x+2
Whitepunk [10]
To solve:
Distribute the 4 to the 5x and –7 by MULTIPLYING.

4(5x)=20x + 4(–7)=–28

20x-28=10x+2 is your new equation.

Subtract 10x from BOTH SIDES to isolate your variable, "x".
20x-10x=10x
10x-10x=0

10x-28=2 is your new equation.

Add 28 to BOTH SIDES to isolate your variable more.
–28+28=0
2+28=30

10x=30 is your new equation.

Finally, DIVIDE both sides by 10 to finish isolating the variable.
10x/10=x
30/10=3

x=3 is your FINAL, SIMPLIFIED answer.
5 0
3 years ago
What are the SI base units for length and mass?
djyliett [7]
It meter and gram because it not kilometers or kilograms
3 0
3 years ago
Two perpendicular lines intersect at the origin. If the slope of the first line is 3, what is the equation of the second line?.
tester [92]
If slope of first line is 3 and is perpendicular to second line
then second line has a slope of -1/3
5 0
3 years ago
Read 2 more answers
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