Answer:
$115.92
Step-by-step explanation:
To calculate compound interest, which Amount - Principal but we dont know the value for amount so we find the amount first by using the formula.
A = P ( 1 + <u>R</u> ) ^n
100
where p = principal ($800)
a = amount (?)
r = interest rate (7%)
n = time ( no of years) (2)
A = 800 ( 1 + <u>7 </u>) ^2
100 A = 800 ( 1 + 0.07) ^2
A = 800 ( 1.07)^2 = 800 ( 1.1449)
A = 915.92.
We then find compound interest with:
C = Amount - Principal = $915.92 - $800 = $115.92
Answer: 4.5
<u>Step-by-step explanation:</u>
First, find the points of intersection by solving the system.
y = x² + 2x + 4
y = x + 6
Solve by substitution:
x² + 2x + 4 = x + 6 ⇒ x² + x - 2 = 0 ⇒ (x + 2)(x - 1) = 0 ⇒ x = -2, x = 1
Now, integrate from x = -2 to x = 1
<em>the bottom of the integral is -2 </em>
= 
= 
= 
= 
= 
= 
= -3 + 1.5 + 6
= 4.5
Answer:
4.6 = x the side opposite C would be 6.1
Step-by-step explanation:
you can use law of sine
you know you have a right triangle so the missing angle B = 49
4/sin41=x/sin49
Answer:
30cm, 60cm
Step-by-step explanation:
Given data
Dimensions of the first rectangle
Length =10cm
Width =20cm
We are told that the dimensions of the second rectangle is gotten by multiplying the first rectangle by 3
Hence the dimensions of the second rectangle is
Length =10*3= 30cm
Width = 20*3= 60cm
