13 + (-12) - (-5)
13 - 12 + 5
1 + 5
= 6.
Answer is A)
Answer:
h = 24 cm
Step-by-step explanation:
The formula for area of a triangle is
A = (1/2)bh where b is the base and h is the height.
We are told that the base is 5 times the height, this translates to
b = 5h, so we can rewrite our formula to
A = (1/2)(5h)(h) or
A = (1/2)5h²
We are given A = 1,440, so plug that in and solve for h...
1,440 = (1/2)5h²
2,880 = 5h² (multiply both sides by 2 to get rid of the fraction)
576 = h² (divide both sides by 5 to get the h value by itself)
24 = h (take the square root of both sides)
1.7-3-2.4y= 12y-11.64
-1.3-2.4y = 12y - 11.64
-2.4y = 12y - 11.64
-14.4y = -10.34
y= 10.34/14.4= 5.17/7.20 or 517/720
Answer:
A) y² - 5y + 1
B) y² - 5y - 4
C) - 5y + 1
D) - 3y² - 4y - 6
Step-by-step explanation:
Let's call P the unkown polynomial and D the difference. In each case, the following must be true:
y² - 5y + 1 - P = D
<em>A)</em>
y² - 5y + 1 - P = 0
y² - 5y + 1 = P
<em>B)</em>
y² - 5y + 1 - P = 5
y² - 5y + 1 - 5 = P
y² - 5y - 4 = P
<em>C)</em>
y² - 5y + 1 - P = y²
y² - 5y + 1 - y² = P
- 5y + 1 = P
<em>D) </em>
y² - 5y + 1 - P = 4y² - y + 7
y² - 5y + 1 - 4y² + y - 7 = P
- 3y² - 4y - 6 = P
Answer:
Step-by-step explanation:
A)Initial amount deposited into the account is $6500 This means that the principal is P, so
P = 500
It was compounded daily. This means that it was compounded 360 times in a year. So
n = 360
The rate at which the principal was compounded is 3%. So
r = 3/100 = 0.03
It was compounded for 5 years. So
t = 5
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years. Therefore
A = 6500 (1+0.03/360)^360×5
A = 6500 (1+0.00008333333)^360×5
A = 6500 (1.00008333333)^1800
A = $7551.70
B) The interest earned is Total amount earned - principal. It becomes
7551.7 - 6500 = $1051.7
