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3 years ago

S 61 – 9u = 10

Mathematics

1 answer:

Shkiper50 [21]3 years ago

4 0

Answer:

Step-by-step explanation:

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Find a1 if Sn = 89,800, r = 3.4, and n = 10. Round to the nearest hundredth if necessary.

xxMikexx [17]

Answer:

$a_1=1.04$

Step-by-step explanation:

We have a geometric sequence with:

$Sn = 89,800$ , $r = 3.4$ , and $n = 10$

Where

Sn is the sum of the sequence

r is the common ratio

$a_1$ is the first term in the sequence

n is the number of terms in the sequence

The formula to calculate the sum of a finite geometric sequence is:

$S_n=\frac{a_1(1-r^n)}{1-r}$

Then:

$89,800=\frac{a_1(1-(3.4)^{10})}{1-3.4}$

Now we solve for $a_1$

$89,800(1-3.4)=a_1(1-(3.4)^{10})$

$a_1=\frac{89,800(1-3.4)}{1-(3.4)^{10}}\\\\a_1=1.04$

4 0

3 years ago

The difference between two numbers is 14. if 1/3 of the larger number is subtracted from the smaller number ,the result equals 1

otez555 [7]

Answer:

Step-by-step explanation:

x-y=14

x-1/3y=1/10

-y=14-x

y=-14+x

take out the factors

x-10/30y=3/30

30x-10y=3

substitute

30x-10(-14+x)=3

30x+140-10x=3-140

20x/20=-137/20

x=-6.85

y=-14+(-6.85)

y=-20.85

7 0

3 years ago

Of the total amount of available water on the earth, what percent is usable?

prohojiy [21]

Only 20%of earths water is useable

8 0

4 years ago

Could someone please help with this math problem??!

slavikrds [6]

I agree with this person that will be a good use

3 0

3 years ago

PLEASE HELP A rectangular region is removed from another rectangular region to create the shaded region shown below. Find the ar

Mars2501 [29]

<h3>Answer: shaded region has area 107 square feet</h3>

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Work Shown:

A = area of larger rectangle

A = length*width = 9*15 = 135 square feet

B = area of smaller rectangle

B = length*width = 7*4 = 28 square feet

C = area of shaded region

C = difference in areas of A and B

C = A - B = 135 - 28 = 107 square feet

4 0

3 years ago