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Alexus [3.1K]
3 years ago
7

To save money for a video game you put $1 in an envelope each day for 5 days you double the number of dollars in the envelopes f

rom the day before how much have you saved after 5 days
Mathematics
1 answer:
Klio2033 [76]3 years ago
6 0

Answer:you would have saved $31 after 5 days

Step-by-step explanation:

You double the number of dollars in the envelopes from the day before. This means the amount in a day is double the amount in the previous day. Therefore, amount of money in the envelope is increasing in geometric progression. The formula for determining the sum of n terms of a geometric sequence is expressed as

Sn = a(r^n - 1)/r - 1

Where

a represents the first term.

r represents the common ratio.

From the information given,

a = 1

r = 2

n = 5 days

S5 = 1(2^5 - 1)/2 - 1

S5 = 32 - 1 = 31

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2x+7=3x-7
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Then, since 2x+7 and 12y+1 equals 180, put it together to find y:

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3 years ago
Write the equation of the line that passes through the points (-6,5) and (3,−5). Put your answer in fully reduced point-slope fo
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Answer:

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Or:

\displaystyle y+5=-\frac{10}{9}(x-3)

Step-by-step explanation:

We want to write the equation of a line that passes through the points (-6, 5) and (3, -5) in point-slope form.

Point-slope form is given by:

y-y_1=m(x-x_1)

Thus, first, we need to find the slope. We can use the slope formula:

\displaystyle m=\frac{\Delta y}{\Delta x}=\frac{(-5)-(5)}{(3)-(-6)}=\frac{-10}{9}=-\frac{10}{9}

Next, we can use either of the two given points. I'll use (-6, 5). So, let (-6, 5) be (<em>x₁, y₁</em>). Substitute:

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Or, fully simplified:

\displaystyle y-5=\frac{-10}{9}(x+6)

Using the other point, we will acquire:

\displaystyle y-(-5)=-\frac{10}{9}(x-(3))

Or, simplified:

\displaystyle y+5=-\frac{10}{9}(x-3)

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3 years ago
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Answer:

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Step-by-step explanation:

let mass be m and weight be w

Given w varies directly with m then the equation relating them is

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To find k use the condition m = 7 , w = 49 , then

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When m = 3 , then

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3 years ago
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