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Viefleur [7K]
3 years ago
10

Find the value of S for an infinite geometric series with r =1/6 and a1= 10.

Mathematics
1 answer:
fiasKO [112]3 years ago
3 0
Kind of the whole point of an infinite geometric series is that you can't find the sum. If it is infinite, then the sum is infinite. 
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Real estate values in a town are increasing at a rate of 9% per year.
mina [271]

Answer:

$887,761.38

Step-by-step explanation:

The principal amount the home is valued is $375,000 and it increases at a rate of 9% a year which is 0.09 and the amount of time it grew is 10 years. Therefore:

A_{final}=375000(1+0.09)^{10}=375000(1.09)^{10}=887761.38

After 10 years the house is worth $887,761.38 if this trend continues

6 0
3 years ago
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What’s the total value of 20 quarters, 40 dimes, 30 nickels, and 15 pennies
Inessa [10]

Answer$10 65 cents

Step-by-step explanation:

20/4= $5 40/10= $4  .05 x 30= $1.50 and add those together to get $10.50 then add the 15 pennies which is $10.65

6 0
3 years ago
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HELP ME PLEASE!! Find R and theta with the coordinates (-3,7).
Fofino [41]

Answer:

Since r is the distance from the origin to (x,y), it is the magnitude r=√x2+y2. Alternatively, from the equation (1), one can calculate directly that x2+y2=r2cos2θ+r2sin2θ=r2(cos2θ+sin2θ)=r2.

Step-by-step explanation:

7 0
3 years ago
Which of these triangle pairs can be mapped to each other using two reflections?
UkoKoshka [18]

Answer: The correct option is figure (1).

Explanation:

Reason for correct option:

The figure (1) shows the reflection across the side XY followed by reflection across the side YT.

When we reflect the triangle XYZ across the side XY we get the triangle XYT as shown in below figure.

After that we reflect the triangle XYT across the side YT and we get the triangle PYT.

Therefore, only figure 1 shows the triangle pairs can be mapped to each other using two reflections.

Reason for incorrect options:

The figure (2) shows the rotation of 180 degree along the point y.

The figure (3) shows the reflection across the side XY followed by the translation.

The figure (4) shows the reflection, followed by rotation , followed by translation.

8 0
3 years ago
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I'll mark brainliest just tell me how to.
IRINA_888 [86]

Answer:

a = 12

b = 2

c = 11

Step-by-step explanation:

\frac{( {x}^{5}y  {z}^{4} )^{3} }{ {x}^{3} yz}  =  {x}^{a}  {y}^{b}  {z}^{c}  \\  \\ \frac{ {x}^{5 \times 3}y^{3}   {z}^{4 \times 3} }{ {x}^{3} yz}  =  {x}^{a}  {y}^{b}  {z}^{c}  \\  \\ \frac{ {x}^{15}y^{3}   {z}^{12} }{ {x}^{3} yz}  =  {x}^{a}  {y}^{b}  {z}^{c}  \\  \\  {x}^{15 - 3}  {y}^{3 - 1}  {z}^{12 - 1} =  {x}^{a}  {y}^{b}  {z}^{c} \\  \\  {x}^{12}  {y}^{2}  {z}^{11} =  {x}^{a}  {y}^{b}  {z}^{c}  \\  \\ equating \: like \: terms \: from \: both \: sides \\  \\  {x}^{12}  =  {x}^{a}  \:  \implies \: a = \boxed{ 12}\\  \\  {y}^{2}  =  {y}^{b}  \:  \implies \: b = \boxed{ 2} \\  \\  {z}^{11}  =  {z}^{c}  \:  \implies \: c = \boxed{ 11}

3 0
3 years ago
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