Answer:
Using division equality property to solve for b. b=27
Step-by-step explanation:
A book cost $3
Mr. Grayson spent $81 on books
Let number of books be b
Total cost invest on book = 3b
This would be equal to $81
Therefore, 3b=81
Now we solve for b
Using division method of equality
If we divide both side by same number in equality.After division we get both are equal .
3b=81
Here we divide by 3 both sides
3b÷3=81÷3
b=27
Thus, Using division equality property to solve for b. b=27
Step-by-step explanation:
for that we use Pythagoras, as the distance is always the baseline (Hypotenuse) of a right-angled triangle created by the x and y coordinate differences between the 2 points.
15.
distance² = (8-3)² + (9-2)² = 5² + 7² = 25 + 49 = 74
distance = sqrt(74) = 8.602325267...
16.
we need to write down the point coordinates first :
(-4, 3)
(1, -3)
distance² = (1 - -4)² + (-3 - 3)² = 5² + (-6)² = 25 + 36 = 61
distance = sqrt(61) = 7.810249676...
Answer:
a) I donot agree with him because as we see the sequence nicely we will find an interval of 8 between any two terms and 32 and 33 don't match them
Step-by-step explanation:
b) and c) Solution:
Given,
First term (a) = 4
Common difference (d) = 12-4 = 8
Now,
Since, they are in A.P.
nth term = a + (n-1)d
= 4 + 8(n-1)
= 4 + 8n-8
= 8n-4
Again,
1st method for c)
100th term = a + 99d = 4 + 99*8 = 4 + 792 = 796
200th term = a + 199d = 4 + 199*8 = 4 + 1592 = 1596
2nd method for c)
100th term = 8*100 - 4 = 800 - 4 = 796
200th term = 8*200 - 4 = 1600 - 4 = 1596
You deposit some money into a bank account paying 6% simple interest per 6 months. You received $354 in interest after 6 months. How much the deposit (principal) was?
Result
The principal was $5900.
