What equation represents a line which is perpendicular to the line y=-2/5x + 5
1 answer:
Answer: y = 5/2 x + 5 or more clearly:
Step-by-step explanation: Slope intercept form y = mx + b
m is the slope, b is the y-intercept
To write the equation for a perpendicular line
Both lines could share the y-intercept, (0,5) so the "b" term can be the same. But it may be different. The slope of a perpendicular line is the reciprocal of the original slope with the opposite sign.
So invert 2/5 to become 5/2 and change the negative sign to positive.
The resulting equation is y = 5x/2 + 5 or y = 2.5x + 5
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<u>Answer:</u>
<em>Mathew invested</em><em> $600 and $2400</em><em> in each account.</em>
<u>Solution:</u>
From question, the total amount invested by Mathew is $3000. Let p = $3000.
Mathew has invested the total amount $3000 in two accounts. Let us consider the amount invested in first account as ‘P’
So, the amount invested in second account = 3000 – P
Step 1:
Given that Mathew has paid 3% interest in first account .Let us calculate the simple interest earned in first account for one year,
Where
p = amount invested in first account
n = number of years
r = rate of interest
hence, by using above equation we get as,
----- eqn 1
Step 2:
Mathew has paid 8% interest in second account. Let us calculate the simple interest earned in second account,
Step 3:
Mathew has earned 4% interest on total investment of $3000. Let us calculate the total simple interest (I)
Step 4:
Total simple interest = simple interest on first account + simple interest on second account.
Hence we get,
By substituting eqn 1 , 2, 3 in eqn 4
12000=3P + 24000 - 8P
5P = 12000
P = 2400
Thus, the value of the variable ‘P’ is 2400
Hence, the amount invested in first account = p = 2400
The amount invested in second account = 3000 – p = 3000 – 2400 = 600
Hence, Mathew invested $600 and $2400 in each account.
<h2><u>Corect option</u> :</h2>
Quantity of water she needs
Number of servings she needs = 10
Number of cups of water she will need :
Thus, she needs of water.
Therefore, the correct option is