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attashe74 [19]
3 years ago
10

if the national economy shrank at an annual rate of 6% per year for 3 consecutive years, then the economy shrank by 18% over the

three year period. The economy shrank by what per6 over the three year period?
Mathematics
2 answers:
marusya05 [52]3 years ago
5 0
The answer would be 18x 6 which would result in 108. Answer is 108/6
Best of luck!
Novosadov [1.4K]3 years ago
3 0

You want to find x such that

... 1 - x = (1 - 6%)³

... x = 1 - (0.94)³ = 1 - 0.830584 = 0.169416

... x ≈ 16.9%

The economy shrank by about 16.9% over the three-year period.

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Step-by-step explanation:

Firstly, notice that this shape is composed of ³/₄ of a circle and ¹/₂ of a square;

The lower left part is the ¹/₂ square, with only 2 sides (a left and lower side) of length 3 units;

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3 + 3 = 6

The remaining part is the ³/₄ circle, which has a radius of 3 units;

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πd

d = diameter = 2 × radius

We only have ³/₄ of the circle, however, so we only have ³/₄ the circumference:

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So the total perimeter is the sum of the perimeter of the ¹/₂ square and the ³/₄ circle:

4.5π + 6

4 0
2 years ago
Rachel has 20 nickels, dimes, and quarters worth $3.70. if she has twice as many quarters as dimes, how many nickels does she ha
marta [7]

Answer: 2 nickels

Rachel has 20 coins composed of nickles, dimes and quarters amounting to $3.70. Her quarters are twice the number of her dimes, the number of nickels can be computed as follows:

If  X= the number of dimes  at .10 each

Then  2x= the number of quarters at .25 each and

20-(X-2X)= the number of nickels at .05 each

<span> <span><span> <span> The equation will be: X(.1)+2(X).25+(20-X-2X).10=3.70 </span> </span> <span> </span> <span> <span> .1X+2X(.25)+(20-X-2X).05=3.70 </span> </span> <span> <span> .1X+.5X+(20-3X).05=3.70 </span> </span> <span> <span> .6X+(1-.15X)=3.70 </span> </span> <span> <span> .6X+1-.15X=3.70 </span> </span> <span> <span> .45X=3.70-1 </span> </span> <span> <span> .45X=2.70 </span> </span> <span> <span> X=2.70/.45 </span> </span> <span> <span> X=6 number of dimes </span> </span> <span> <span> 2X=12 number of quarters </span> </span> <span> <span> 20-6-12=2 number of nickels </span> </span> </span></span>
5 0
3 years ago
Allison earns a $40,000 base salary plus a commission equal to 15% of her total sales. If she sold $200,000 worth of goods, what
marta [7]

Answer:

The total salary of her is $1066666.66.

Step-by-step explanation:

Given : Allison earns a $40,000 base salary plus a commission equal to 15% of her total sales. If she sold $200,000 worth of goods.

To find : What was her total salary?

Solution :

Let x be the total salary.

Allison earns a $40,000 base salary.

If she sold $200,000 worth of goods.

i.e. the amount is $200,000-$40,000=$160,000

The total salary is given by,

$160,000=15% of x

0.15\times x=160000

x=\frac{160000}{0.15}

x=1066666.66

The total salary of her is $1066666.66.

3 0
3 years ago
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