Which is greater: -3 or 1/6 * They are equal 3 1/6 It depends
1 answer:
You might be interested in
Douglas invested $ 1300 altogether
<em><u>Solution:</u></em>
Let x represent the amount invested in the account paying 14% interest.
Let y represent the amount invested in the account paying 5% interest
He invests three times as much in an account paying 14% as he does in an account paying 5%
Which means,
x = 3y
<em><u>The simple interest is given by formula:</u></em>
Where,
"p" is the principal
"n" is the number of years
"r" is the rate of interest
<em><u>He earns $152.75 in interest in one year from both accounts combined</u></em>
Therefore,
Combined S.I = 152.75
n = 1 year
<em><u>Considering the account earning 14% interest:</u></em>
<em><u>Considering the account earning 5% interest:</u></em>
<em><u>Since, Combined S.I = 152.75</u></em>
Therefore,
0.42y + 0.05y = 152.75
0.47y = 152.75
Divide both sides by 0.47
y = 325
Therefore,
x = 3y
x = 3(325)
x = 975
<em><u>how much did he invest altogether?</u></em>
Amount invested together = x + y = 975 + 325 = 1300
Thus he invested $ 1300 altogether
Answer:
Constant of variation is 24.
Step-by-step explanation:
Inverse variation states that a relationship between two variables in which the product is remain constant.
If one variable increases then, the other one decreases in proportion so that the product is unchanged,
if y is inversely proportional to x i.e or
;where k is the constant of variation.
It is given that 3 identical water pumps takes 8 hours to fill a pool,
since, it will take less time with more pumps, so it is an inverse variation.
By definition of inverse variation;
Substitute the values to solve for k;
Multiply by 3 to both sides we get;
Simplify:
k = 24
Therefore, the constant of variation is, 24