Answer:
Explanation:
In the Point-Slope Formula [y - y₁ = m(x - x₁)], all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS.
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For this case we have that if Molly spent all the spool ribbon with 12 people, then "r" would be given by the product of 12 for the amount of ribbon that each person received, that is:
Thus, the spool initially had 36 feet of ribbon.
If Molly also keeps 3 feet of ribbon, then the value of "r" is given by:
In this case, the ribbon spool initially had 39 feet of ribbon.
Answer:
shared between 12 people
shared between 12 people and Molly
Answer:
Step-by-step explanation:
a) To find the length of diagonal XT, we can use the distance formula to get
Since this is a rectangle, XT=YW, meaning YW=10 as well.
b) The area of a rectangle is given by length times width. The length is |-3-5|=8, and the width is |-2-4|=6. So the area is (8)(6)=48.
c) The perimeter is just 2(8+6)=28.
After 7 years fund balance will be $2152336.05 if the philanthropist pledges to donate 10% of a fund each year.
<h3>What is an exponential function?</h3>It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent.
where a is a constant and a>1
We have:
A philanthropist pledges to donate 10% of a fund each year.
We can find the amount left after 7 years as follows:
A = 450000(1 - 0.1)⁷
10% of a fund each year.
Rate r = 10% = 0.1
A = 450000(0.9)⁷
A = $2152336.05
Thus, after 7 years fund balance will be $2152336.05 if the philanthropist pledges to donate 10% of a fund each year.
Learn more about the exponential function here:
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