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sergejj [24]
3 years ago
15

Solve 10 + 6(–9 – 4x) = 10(x – 12) + 8.

Mathematics
1 answer:
Luden [163]3 years ago
3 0

Answer: x = 2

Step-by-step explanation:

<em>first, we remove the parentheses. </em>

10 - 54 - 24x = 10x - 120 + 8

<em>then, we just calculate that out.</em>

-44 - 24x = 10x - 112

<em>next, we move the terms.</em>

-24x - 10x = -112 + 44

<em>then, we collect the like terms and calculate it.</em>

-34x = -68

<em>finally, we divide both sides.</em>

x = 2

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15.13

Step-by-step explanation:

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A 20,000 deposit earns 4.8 interest for 4 years . What is the final account balance if the interest is compounded semiannually ?
Bad White [126]

Answer:

Semi-annually: A = $24 178.51

Quarterly:         A = $24 205.73

Monthly:           A = $24 224.13

Step-by-step explanation:

The formula for compound interest is

A = P(1 + r)ⁿ

A. Compounded semi-annually

Data:

P = $20 000

APR  = 4.8 %

t = 4 yr

Calculations:

n = 4 × 2 = 8

r = 0.048/2  = 0.024

A = 20 000(1+ 0.024)⁸

  = 20 000 × 1.024⁸

  = 20 000 × 1.208 926

  = $24 178.51

B. Compounded Quarterly

n = 4 × 4 = 16

r = 0.048/4  = 0.012

A = 20 000(1+ 0.012)¹⁶

  = 20 000 × 1.012¹⁶

  = 20 000 × 1.210 286

  = $24 205.73

C. Compounded monthly

n = 4 × 12 = 48

r = 0.048/12  = 0.004

A = 20 000(1+ 0.004)⁴⁸

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4 0
4 years ago
Find the area of the regular polygon.
ad-work [718]

The area (A) of a regular hexagon in terms of its side length s is

... A = (3√3)/2·s²

For a regular hexagon, its side length is equal to the radius of its circumcircle, given here as 10√3 cm. Putting this value in the formula gives

... A = (3√3)/2·(10√3 cm)² = 450√3 cm²

... A ≈ 779.4 cm² . . . . area of the hexagon

7 0
3 years ago
A women made a deposit of $196.If her deposit considered of 60 bills, some of them one-dollar bills and the rest being five-doll
raketka [301]
Answer: 26 pieces of $1 bill and 34 pieces of $5 bill

Total Deposit = $196
Total Bills = 60 pieces
Value of $1 = $1
Value of $5 = $5

Lets assume all the 60 pieces were $1 bill.
The total deposit will be 60 x $1 = $60

But we know that the total deposit is $196. So the extra value must have come from the $5. 

$196 - $60 = $136
There is still an outstanding amount of $136 not accounted for.

$5 - $1 = $4
The difference in the two bills is $4

Now we can find out the number of $5 bill by dividing the extra $136 by 4:
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There are 34 pieces of $5 bill.

Since there are 34 pieces of $5, the rest must be the $1 bill
60 - 34 = 26

There are 26 pieces of $1 bill.

------------------------------------------------------------------------------------
Answer: 26 pieces of $1 bill and 34 pieces of $5 bill.
------------------------------------------------------------------------------------
7 0
3 years ago
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