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Thepotemich [5.8K]
3 years ago
14

The organizers of a fair projected a 25 percent increase in attendance this year over that of last year, but attendance this yea

r actually decreased by 20 percent. What percent of the projected attendance was the actual attendance?
Mathematics
1 answer:
Gnom [1K]3 years ago
5 0

Answer: 64 %

Step-by-step explanation:

Assume attendance last year to be equal to "x"

- An increase in percentage sees us add the percentage amount to 100.

- A decrease in percentage sees us subtract the percentage amount from 100.

Projected attendance = ((100+25)/100) * x = 1.25x

Actual attendance = ((100-20)/100) * x = 0.80x

Hence ratio of a actual to projected attendance = 0.80x/1.25x = 0.64

Convert into percentage = 0.64 * 100 = 64 %

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Solve.<br> 4 x + 6 &lt; − 6<br><br> Thankyou In advance :&gt;
andrew-mc [135]

Answer:

x < -3

Step-by-step explanation:

Step 1: Subtract 6 from both sides.

  • 4x + 6 - 6 < -6 - 6
  • 4x < -12

Step 2: Divide both sides by 4.

  • \frac{4x}{4} < \frac{-12}{4}
  • x < -3

Therefore, the answer is x < -3.

6 0
3 years ago
Age of car = 8 years. Original cost = $18,000. The cost of maintenance and repairs is $
creativ13 [48]

From the graph it seems to be around the area of 10%.

So,

18,000 * 0.10 = $1,800

5 0
3 years ago
The number of years from the start of the Great Depression to the first presidential election of Richard Nixon is six years less
svp [43]

Answer:

Raul's age is 15 years.

Step-by-step explanation:

r represents Raul's age.

The number of years from the start of the Great Depression to the first presidential election of Richard Nixon is six years less than three times Raul's age.

The first presidential election happened 39 years after the Great Depression and six years less than three times Raul's age is 3r - 6.

Therefore, 3r - 6 = 39

Add 6 to both sides.

3r = 45

Divide both sides by 3.

r = 15

Hence, Raul's age is 15 years.


7 0
3 years ago
Read 2 more answers
Angela’s savings account balance was 133.10 after 3 years. What would the balance be after 5 years if the interest rate remains
Novay_Z [31]

In this question , we have to use compound interest formula, which is

A= P(1+r)^t

Here Amount after 3 years = $133.10

Rate of interest = 10%=0.1

TIme =3 years

So we get

133.10= P(1+0.1)^3 \\ 133.10 = P(1.1)^3 \\ 133.10 = 1.331P \\ P = 100

Now we have principal, P = $100,

Rate of interest, r =0.1

Time, t = 5 years

So we will get

A = 100(1+0.1)^5 \\ A = 100(1.1)^5 \\ A = 161.051

So the balance after 5 years will be $161.05 .

7 0
3 years ago
Read 2 more answers
I need help with this. I also need to know how you found out those answers.
pochemuha
A= 35° because 180°-80°-65°= 35°

b=50° because 180°-95°-35°= 50°

c=85° because 180°-95°= 85°

d=30° because 180°-65°-85°= 30°

For these you just have to remember that the sum of the angles of a triangle is 180°, and the same for a straight line.
5 0
4 years ago
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