Find the slope of the line
2 answers:
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Option D
Using the distributive property, -7(8x – 3) + x = -55x + 21
<em><u>Solution:</u></em>
Given that we have to use distributive property to simplify the given expression
Given expression is:
-7(8x – 3) + x
Let us first understand about distributive property
The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.
<em><u>The distributive property is represented as:</u></em>
a(b + c) = ab + ac
Apply this property in given expression for -7(8x - 3)
Apply the above result in given expression
Combine the like terms. Add -56x and x
Thus the given expression is simplified. Option D is correct
Solution :
Given :
Principal amount deposited, P = $ 6000
Rate of interest, r = 5%
Number of years, t = 4 years
When the deposited amount is compounded semiannually, i.e. n = 2
Therefore,
Future value,
= 6000 x 1.2184
= 7310.4
Therefore, after 4 years there will be $ 7310.4 in the amount when compounded semi annually.
When the deposited amount is compounded quarterly, i.e. n = 4
Therefore,
Future value,
= 6000 x 1.219889
= 7319.334
Therefore, after 4 years there will be $ 7319.334 in the amount when compounded quarterly.
When the deposited amount is compounded monthly, i.e. n = 12
Therefore,
Future value,
= 6000 x 1.22089
= 7325.34
Therefore, after 4 years there will be $ 7325.34 in the amount when compounded monthly.
Answer:
Step-by-step explanation:
p = Product of all odd integers between 500 an 598. So,
p = 501 x 503 x 505 ... x 595 x 597
q = Product of all odd integers between 500 and 602. So,
q = 501 x 503 x 505 ... x 595 x 597 x 599 x 601
From the above relations, we can see that q is equal to p multiplied by 599 and 601. i.e.
q = p x 599 x 601
or,
We need to evaluate 1p + 1q in terms of q. Using the value of p from above expression, we get: