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Alexeev081 [22]
3 years ago
13

What is a point-slope equation of the line with slope -10 that goes through the point (1,4)?

Mathematics
1 answer:
Svet_ta [14]3 years ago
8 0

Answer:

<h3>The answer is option A</h3>

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

y -  y_1 = m(x -  x_1)

where

m is the slope

( x1 , y1) is the point

From the question

the slope is - 10

the point is (1,4)

So the equation of the line is

<h2>y - 4 =  - 10(x - 1)</h2>

Hope this helps you

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An investment company pays 8​% compounded semiannually. You want to have $12,000 in the future. (A) How much should you deposit
Leno4ka [110]
Before we start answering the question, let's define the compound interest formula:
A = P(1+ \frac{r}{n}) ^{nt}
Where:
<span>'A'</span>  is the amount of money in dollars
'P' is the principal amount of money in dollars
'r' is the interest rate (decimal)
'n' is the number of times interest is compounded per year
't' is the time in years

<span>(A) Find Principal Amount
</span><u /><span><u>Given:</u>
</span>A = 12,000
P = ?
r = 0.08
n = 2 (semiannually)
t = 5
Now we plug our values in and solve:
12,000 = P(1+ \frac{0.08}{2}) ^{(2)(5)}
12,000 = P(1.04) ^{10}
P = 8106.77
∴ You would have to deposit $8106.77 in order to have $12,000 in 5 years from now.

(B) Find Principal Amount
Same given values as above, with the exception of 't' which is now 10 instead of 5. 
12,000 = P(1+ \frac{0.08}{2}) ^{(2)(10)}
12,000 = P(1.04) ^{20}
P = 5476.64
∴ You would have to deposit $5476.64 in order to have $12,000 in 10 years from now.

Hope this helps!
4 0
3 years ago
What is the algebraic expression for the following word phrase the sum of 7w and 5
just olya [345]

The sum is the result of adding two or more numbers.

If one number is 7w and another number is 5, then the sum is

7w+5.

Answer: the algebraic expression for the word phrase the sum of 7w and 5 is 7w+5.

5 0
3 years ago
Read 2 more answers
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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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