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Novay_Z [31]
3 years ago
15

How to solve -2(1-7n)-5n=34

Mathematics
2 answers:
emmainna [20.7K]3 years ago
8 0

-2(1-7n)-5n=34

distributive property

-2+14n-5n=34

combine like terms

-2+9n=34

+2       +2

9n=36

÷9   ÷9

n=4

OLEGan [10]3 years ago
6 0

-2(1-7n)-5n=34

Multiply the bracket by -2

(-2)(1)=-2

(-2)(-7n)=14n

-2+14n-5n=34

-2+9n=34

Move -2 to the other side. Sign changes from -2 to +2.

-2+2+9n=34+2

9n=34+2

9n=36

Divide by 9 for both sides

9n/9=36/9

n=4

Answer: n=4

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You deposit some money into a bank account paying 8% simple interest per year. You received $500 in interest after 2 years. How much the deposit (principal) was?


Result


The principal was $3125.


Explanation


Find principal by using the formula I=P⋅i⋅t, where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.


In this example I = $500, i = 8% and t = 2 years, so


IPPP=P⋅i⋅t=Ii⋅t=5000.08⋅2=3125

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3 years ago
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4 0
2 years ago
What is the product?
FinnZ [79.3K]
Hey there!

In order to solve this problem, you'll look at (x⁴)(3x³ – 2) first. You need to multiply 4x by both numbers in the binomial to get the distributed version that you'll use later on. 

(x⁴)(3x³) = 3x⁷
(x⁴)(–2) = –2x⁴

Now, your problem is (3x⁷ – 2x⁴)(4x² <span>+ 5x). You will complete the distributing by multiplying the first term of the first binomial by both terms of the second binomial, then repeating this with the second term. You'll then want to add or subtract any repeated terms to combine them, if applicable. Remember that to multiply exponents together, all you need to do is add the numbers. x is the same as x</span>¹.<span>

</span>(3x⁷)(4x²) = 12x⁹
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(–2x⁴)(4x²) = –8x⁶
(–2x⁴)(5x) = –10x⁵

So, your final expanded product will be (12x⁹ + 15x⁸ – 8x⁶ – 10x⁵). Your answer should be letter A. Hope this helped you out! :-)
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