Answer:
a. Simple interest = $174
b. Compund interest = $1187.1
Step-by-step explanation:
Given the following data;
Principal, P = $1000
Interest, R = 2.9%
Time, T = 6 months
a. To find the simple interest;
S.I = (PRT)/100
S.I = (1000*2.9*6)/100
S.I = 17400/100
S.I = $174
b. To find the compound interest;
Substituting into the formula, we have;
A = $1187.1
The formula for perimeter is P = 2length + 2width (P = 2L + 2W)
You know that the length is 4 more yards then twice the width. In equation form this would be:
length = 4 + 2w
Plug what you know into the perimeter formula:
26 = 2(4 + 2w) + 2w
First you must distribute the 2 to the numbers inside the parentheses, which would be 4 and 2w...
26 = (2 * 4) + (2 * 2w) + 2w
26 = 8 + 4w + 2w
Now you must combine like terms. This means that first numbers with the same variables (w) must be combined...
26 = 8 + 4w + 2w
4w + 2w = 6w
26 = 8 + 6w
Now bring 8 to the left side by subtracting 8 to both sides (what you do on one side you must do to the other). Since 8 is being added on the right side, subtraction (the opposite of addition) will cancel it out (make it zero) from the right side and bring it over to the left side.
26 - 8 = 8 - 8 + 6w
18 = 0 + 6w
18 = 6w
To isolate w divide 6 to both sides
18 / 6 = 6w / 6
w = 3
We know that the width is 3 ft
Now you must find the length. To do this plug 3 where you see w in the equation:
length = 4 + 2w
l = 4 + 2(3)
l = 4 + 6
l = 10
We know that length is 10 ft
Letter B. is the correct answer
Hope this helped!
~Just a girl in love with Shawn Mendes
Given:
The number is -10.
To describe the number:
Explanation:
Since 10 is a whole number and it has a minus sign.
So, -10 is an integer number.
Since it is an integer number.
So, it must be a rational number as well as the real number.
Therefore, -10 is a number that belongs to the sets
Integer numbers
Rational numbers
Real numbers
Final answer:
• Integer numbers
,
• Rational numbers
,
• Real numbers
Answer:
Step-by-step explanation:
2x2+5x−10=x2+4
Step 1: Subtract x^2+4 from both sides.
2x2+5x−10−(x2+4)=x2+4−(x2+4)
x2+5x−14=0
For this equation: a=1, b=5, c=-14
1x2+5x+−14=0
Step 2: Use quadratic formula with a=1, b=5, c=-14.
x=
−b±√b2−4ac
2a
x=
−(5)±√(5)2−4(1)(−14)
2(1)
x=
−5±√81
2
x=2 or x=−7
Answer:
x=2 or x=−7
Answer:
10 years
40 years
Step-by-step explanation:
let present ag e of son=x
5 years ago age of son=x-5
5 years ago age of man=7(x-5)=7x-35
present age of man=7x-35+5=7x-30
after 5 years
age of son=x+5
age of man=7x-30+5=7x-25
also 7x-25=3(x+5)
7x-25=3x+15
7x-3x=15+25
4x=40
x=10
age of son=10 years
age of man=7*10-30=70-30=40 years
