Answer:
$406
Step-by-step explanation:
The amount of interest that Lorenzo's account earns is given by ...
I = Prt
where P is the principal amount ($400), r is the annual rate (1.5%) and t is the number of years (1).
Lorenzo's interest is ...
I = $400·0.015·1 = $6.00
Then the balance in Lorenzo's account at the end of one year is ...
$400 +6 = $406.00
Answer:
1250000
Step-by-step explanation:
Let number of the total number of shoes sold be 'y'
y*(70/100)= 875000
70y = 875000*100
y = (875000*100)/70
y = 1250000
Answer:
Step-by-step explanation:
The cost (in dollars) in making b bracelets is represented is
The cost (in dollars) of making b necklaces is
To find how much more it will cost to make b necklaces than b bracelets, we find the difference,
This is a polynomial in descending powers of b, hence it is in standard form;
Answer:
In the given figure the point on segment PQ is twice as from P as from Q is. What is the point? Ans is (2,1).
Step-by-step explanation:
There is really no need to use any quadratics or roots.
( Consider the same problem on the plain number line first. )
How do you find the number between 2 and 5 which is twice as far from 2 as from 5?
You take their difference, which is 3. Now splitting this distance by ratio 2:1 means the first distance is two thirds, the second is one third, so we get
4=2+23(5−2)
It works completely the same with geometric points (using vector operations), just linear interpolation: Call the result R, then
R=P+23(Q−P)
so in your case we get
R=(0,−1)+23(3,3)=(2,1)
Why does this work for 2D-distances as well, even if there seem to be roots involved? Because vector length behaves linearly after all! (meaning |t⋅a⃗ |=t|a⃗ | for any positive scalar t)
Edit: We'll try to divide a distance s into parts a and b such that a is twice as long as b. So it's a=2b and we get
s=a+b=2b+b=3b
⇔b=13s⇒a=23s
Answer:
2/4 or 1/2
Step-by-step explanation:
Divide both sides by 2 and you get x=2/4. You can simplify further by dividing 2 and 4 by 2 to get 1/2
