Step-by-step explanation:
the area of a parallelogram is
baseline × height
the height here is 4 cm.
the baseline is 12 - 2 = 10 cm
the area of the parallelogram is then
10 × 4 = 40 cm²
A. given
b. distributive property (a(b+c)=ab+ac)
c. addition or commutative property (a+b=b+a)
d. subtraction property of equality (if a=b, then a-c=b-c)
e. division property of equality (if a=b, then a/c=b/c)
f. equality property (if a=b, then b=a)
Answer:
a the answer is a
Step-by-step explanation:
Answer:
<u>A. 120 cm²</u>
Step-by-step explanation:
Area of figure :
- 1/2 x base x height
- 1/2 x 24 x 10
- 12 x 10
- <u>120 cm²</u>
Suppose that it will take n years for Dave's investment to be equal to Len's;
thus using the compound interest formula we shall have:
A=p(1+r/100)^n
thus the investment for Len after n year will be:
A=5200(1+3/100)^n
A=5200(1.03)^n
The total amount Dave's amount after n years will be:
A=3600(1+5/100)^n
A=3600(1.05)^n
since after n years the investments will be equal, the value of n will be calculated as follows;
5200(1.03)^n=3600(1.05)^n
5200/3600(1.03)^n=(1.05)^n
13/9(1.03)^n=(1.05)^n
introducing the natural logs we get:
ln(13/9)+n ln1.03=n ln 1.05
ln(13/9)=n ln 1.05-n ln 1.03
ln(13/9)=0.0192n
n=[ln(13/9)]/[0.0192]
n=19.12
thus the amount will be equal after 19 years
