The mat adds 3 inches to each side, so the length would be 3+20 = 23 inches. The width would become 3 + 9 = 12 inches.Area = Length x width:
23 x 12 = 276 square inches
Hi there
The formula is
A=pe^rt
A future value?
P present value 700
R interest rate 0.05
T time 8 years
A=700×e^(0.05×8)
A=1,044.28
Hope it helps
2. 3/4(-4 + 4x) = -3 + 3x 3/4 times 4 is 3, so if you distribute 3/4 (-4 + 4x), you will get -3 + 3x.
3. -0.113(-4x - 4) = 0.452x + 0.452 0.113 times 4 is 0.452, but you need to make sure to have the correct signs. Since the product is positive and -0.113 is negative, you would have to multiply it by a negative to get the product.
If you're having trouble with multiplying by fractions, just use repeated addition in your head. For example, for the first problem, instead of trying to tackle 3/4 times 4, think 3/4 + 3/4 + 3/4 + 3/4.
3/4 + 3/4 = 6/4
6/4 + 3/4 = 9/4
9/4 + 3/4 = 12/4
12/4 = 3
For the second problem, when multiplying by a decimal, just do what you'd normally do for multiplication. When you get to the end, count how many digits you had behind the decimal before, and put the decimal in the corresponding space for the answer.
0.113
x 4
0452
There are 3 digits behind the 0 in 0.113, so there should be 3 digits behind the decimal in the answer. So, the answer should be 0.452.
Hope this helps!
Answer:
x = -0.8 and 10.8
Step-by-step explanation:
Given the equation x2 – 10x – 8= 0
Using the general formula
x = -b±√b²-4ac/2a
x = -(-10)±√(-10)²-4(1)(-8)/2(1)
x = 10±√100+32/2
x =10±√132/2
x = 10±11.489/2
x = 10-11.489/2 and 10+11.489/2
x = -1.489/2 and 21.489/2
x = -0.8 and 10.8
Answer:
$146
Step-by-step explanation:
54.75= 3 hrs
divide both sides by 3
18.25= 1 hr
multiply both sides by 8
$146= 8hrs
