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tamaranim1 [39]
3 years ago
15

Use the distributive property to write the expression –6(–3x – 5) without parentheses.

Mathematics
1 answer:
Sauron [17]3 years ago
3 0

Answer:

<h2>18x + 30</h2>

Step-by-step explanation:

The distributive property: a(b + c) = ab + ac.

-6(-3x - 5) = (-6)(-3x) + (-6)(-5) = 18x + 30

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Which is equivalent to cube root 8^x?
VARVARA [1.3K]

Answer:

2

Step-by-step explanation:

³√8 = 2

hope it's helpful

3 0
3 years ago
76. Currently, your savings for each month is capped at $400. If you start investing all of this into a savings plan earning 1%
Alexxandr [17]

Answer:

10 years and 10 months.

Step-by-step explanation:

The annually interest rate (ia) can be converted by monthly (im) by the equation:

(1 + im)¹² = 1 + ia

(1 + im)¹² = 1 +0.01

(1 + im)¹² = 1.001 (putting ln in both sides)

ln(1 + im)¹² = ln1.001

12*ln(1 + im) = 1.0x10⁻³

ln(1 + im) = 8.33x10⁻⁵(applying "e in both sides)

e^{ln(1 + im)} = e^{8.33x10^{-5}}

1 + im = 1.00083

im = 0.00083 = 0.083%

For a investimenting, the final amount (A) can be calculated by:

A = R*(\frac{(1+i)^n-1}{i} )

Where R is the amount invested per month, i is the interest, and n the number of months:

160000 = 400 *\frac{(1 +0.00083)^n - 1}{0.00083}

\frac{(1 +0.00083)^n - 1}{0.00083} = 400

1.00083ⁿ - 1 = 0.332

1.00083ⁿ = 1.332 (applying ln in both sides)

n*ln1.00083 = ln1.332

8.3x10⁻⁴n = 0.2867

n = 345.4 months

345.4 months *1 yea12 months = 10 years and 10 months.

7 0
3 years ago
Read 2 more answers
Jack wants to buy a pair of trousers for $60 when he went to the store he found that the prices marked down by 20% how much do t
blondinia [14]
To find the discount, multiply 60 by .2, which is 12. Now subtract 12 from 60. The trousers should cost $48 now because the cost has been reduced by 20% of 60, which is $12.
7 0
3 years ago
Read 2 more answers
Helppppppppppppppppppppppppppppppppppp
Anton [14]
Company A
Income = 35,000 + 0.03x

Company B
Income = 25,000 + 0.05x

set them equal to see how much of sales Julia needs to make the same income at both companies.

30,000 + 0.03x = 25,000 + 0.05x
30,000 - 25,000 = 0.05x - 0.03x
5,000 = 0.02x
5,000/0.02 = x
 250,000 = x

Company A has better base salary and so would pay better if less than 250,000 sales are made. Company B has bigger percent bonus and would be a better deal if more than 250,000 sales are made.

So it's the 2nd choice.
4 0
3 years ago
The running trail in the local park is 2.826 miles long. If the park board were planning to extend the trail by 1.46 miles, what
eimsori [14]
Extend means to increase, add length to it, ADD.
       2.826
+    1.46
--------------
       4.286

5 0
3 years ago
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