In math, "of" almost always means "times".
"The property" is 7/8 acre.
So "1/4 of the property" means "1/4 times 7/8 acre".
1/4 x 7/8 = (1 x 7) / (4 x 8)
That's 7/32 .
Mr. Lopez hasn't plowed up anything yet, but his plan is to plow up 7/32 acre for his garden.
In this item, we let x be the amount that is deposited in the account that has a simple interest equal to 7%. With this representation, the amount that is deposited in the account with simple interest of 6% is equal to 12000 - x.
The amount of interest earned from the investment is calculated through the equation,
I = P x (i)
For the first investment,
I = (x)(0.07)
For the second investment,
I = (12000 - x)(0.06)
Adding up the interests,
800 = 0.07x + (0.06)(12000 - x)
The value of x from the equation is 8000.
<em>Therefore, the amount invested to that with 7% interest is $8000 and the amount invested to that with 6% interest is $4,000.</em>
Answer:
- (6-u)/(2+u)
- 8/(u+2) -1
- -u/(u+2) +6/(u+2)
Step-by-step explanation:
There are a few ways you can write the equivalent of this.
1) Distribute the minus sign. The starting numerator is -(u-6). After you distribute the minus sign, you get -u+6. You can leave it like that, so that your equivalent form is ...
(-u+6)/(u+2)
Or, you can rearrange the terms so the leading coefficient is positive:
(6 -u)/(u +2)
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2) You can perform the division and express the result as a quotient and a remainder. Once again, you can choose to make the leading coefficient positive or not.
-(u -6)/(u +2) = (-(u +2)-8)/(u +2) = -(u+2)/(u+2) +8/(u+2) = -1 + 8/(u+2)
or
8/(u+2) -1
Of course, anywhere along the chain of equal signs the expressions are equivalent.
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3) You can separate the numerator terms, expressing each over the denominator:
(-u +6)/(u+2) = -u/(u+2) +6/(u+2)
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4) You can also multiply numerator and denominator by some constant, say 3:
-(3u -18)/(3u +6)
You could do the same thing with a variable, as long as you restrict the variable to be non-zero. Or, you could use a non-zero expression, such as 1+x^2:
(1+x^2)(6 -u)/((1+x^2)(u+2))
Answer:
In terms of probablity (A - appetizer oredered, B - desert ordered)
P(A)=63%
P(B)=40%
P(AorB)=76%.
Using the formula:
P(AorB)=P(A)+P(B)-P(A&B) we get P(A&B)=63%+40%-76%=27% (probability we were looking for).
Pool and deck = 60 ft by 50 ft
First question: Area of the deck including the deck
A = 60*50 = 3000 ft^2
Average cost = $4,560
Discount offered = 20%
Second question: Cost after discount
This is a question of proportionality. That is;
$4,560 ------------ 100%
Actual cost ------ (100-20)% -----80%
Then,
Actual cost after discount = (4,560*80)/100 = $3,648
Area of the pool is 750 ft^2 and one side is 30 ft.
Third question: Length of the other side
Area = L*W, if Length, L = 30 ft, Width, W = ??
750 = 30*W
W = 750/30 = 25 ft.
Then, the other side is 25 ft long.
Cost per 10 ft length of fence costs $25.50
Fourth question: Total cost of fencing
Circumference = 2(L+W) = 2(60+50) = 220 ft
Number of 10 ft sections = Circumference/10 = 220/10 = 22 sections
Total cost = number of sections*Cost per section = 22*25.50 = $561