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vampirchik [111]
3 years ago
13

Use the formula to evaluate the infinite series riund to the nearest hundredth if necessary 9+3+1+

Mathematics
1 answer:
VikaD [51]3 years ago
6 0
Sum to infinity  =  a1 / ( 1 - r)   (This is a geometric series  a1 = first term, r = common ratio)

Here r = 3/9  = 1/3 and a1 = 9 

So the answer is 9 / (1 - 1/3)  = 9 / 2/3 = 9 * 3/2 = 13.5 Answer
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What is the exact value that is 48% of 1165
Vera_Pavlovna [14]

We know that the percentage amount of any number can be found by first converting the the given percentage to a fraction and then multiplying it by the given number. Thus, in our case, the exact value, that is 48% of 1165 can be calculated as follows:

We know that 48\%=\frac{48}{100}=0.48

Therefore, 48% of 1165 can be re-written as: 0.48\times 1165

This can be calculated as [tex]0.48\times 1165=559.2[/tex

Therefore The exact value that is 48% of 1165 is 559.2


5 0
3 years ago
how many pounds of nuts selling for $9 per lb and raisins selling for $3 per lb should a person combine to obtain 60 lb of a tra
marta [7]
Let n be the number of lbs of nuts.
Let r be the number of lbs of raisins.
9n + 3r = 60 * 5 = 300 .............(1)
n + r = 60
n = 60 - r ...............(2)
Plugging the expression for n in (2) into (1) we get:
9(60 - r) + 3r = 300
which expands to:
540 - 9r + 3r = 300 .............(3)
Simplifying and rearranging (3) we get:
-6r = -240
Therefore r, the weight of raisins = 40 lbs
and the weight of nuts is 60 - 40 = 20 lbs
8 0
3 years ago
Compute the amount of interest earned in the following simple interest problem. A deposit of $1,295 at 7% for 180 days = _____.
givi [52]
I = Prt, where P = $1,295; r = 7/100 = 0.07, t = 180/365

I = 1,295 x 0.07 x 180/365 = $44.70
7 0
3 years ago
The area of the triangle above will equal one half of a rectangle that is 5 units long and __ units wide. (Input only whole numb
Salsk061 [2.6K]
The area of the triangle above will equal one half of a rectangle that is 5 units long and 6 unites wide.
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4 years ago
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Only the first one works
y = 3(-1)-2 = -5
y = -(0) -6 = -6 not  -2 

This is a substitution problem...
4 0
3 years ago
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