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kap26 [50]
3 years ago
6

Ratio stars n squares

Mathematics
2 answers:
BartSMP [9]3 years ago
5 0
There are 400 students in a school. In Zachary's class, 18 out of 30 students participate in after-school activities. Based on Zachary's class, about how many students in the school are predicted to participate in after-school activities. Please show me how to set this problem up and solve it.
algol133 years ago
3 0
Stars : squares

Stars/squares

Stars to squares
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GC - If the principal amount of money put into a bank is $2000 with a 3.5% rate compounded quarterly, what is the amount after 6
alisha [4.7K]

Given:

Principal amount = $2000

Rate of interest = 3.5% compounded quarterly.

Time = 6 years

To find:

The amount after 6 years.

Solution:

The formula for amount after compound interest is:

A=P\left(1+\dfrac{r}{n}\right)^{nt}

Where, P is principal, r is rate of interest in decimal, n is the number of time interest compounded in an year and t is the number of years.

The interest is compounded quarterly, so n=4.

Substituting P=2000,r=0.035,n=4,t=6, we get

A=2000\left(1+\dfrac{0.035}{4}\right)^{4(6)}

A=2000\left(1+0.00875\right)^{24}

A=2000\left(1.00875\right)^{24}

A=2465.10340

Approximate the value to the nearest hundredth.

A\approx 2465.10

The amount after 6 years us $2465.10. Therefore, the correct option is A.

4 0
3 years ago
Find the roots of the quadratic equation x^2 – 8x = 9 by completing the square. Show your work.
loris [4]
X² - 8x = 9
x² - 8x - 9 = 0
x² + x - 9x - 9 = 0
x(x + 1) -9(x + 1) = 0
(x+1)(x-9) = 0
x = -1 or 9

In short, Your Answers would be -1 & 9

Hope this helps!
3 0
3 years ago
Which set of data has a mean of 21
geniusboy [140]

PLEASE include a picture so we can answer!!!

6 0
2 years ago
Read 2 more answers
Find x if:<br> - B is between A &amp; C;<br> -AB = x + 5;<br> -BC = 2(x-3); and<br> -AB ~= BC
aliya0001 [1]

Answer:

The value of x = 11

Step-by-step explanation:

Given

  • B is between A and C.
  • AB = x+5
  • BC = 2(x - 3)
  • {\displaystyle {\overline {AB} ≅ {\displaystyle {\overline {BC}

Determining the value of x

As B is between A and C, so

{\displaystyle {\overline {AB} ≅ {\displaystyle {\overline {BC}

as

  • AB = x+5
  • BC = 2(x - 3)

so

x + 5 = 2(x-3)

x+5 = 2x-6

2x-x = 5+6

x = 11

Therefore, the value of x = 11

4 0
3 years ago
In a probability experiment, Craig rolled a six-sided die 57 times. The die landed on a number greater than three 33 times. What
GaryK [48]
The ratio is 33:24 which would simplify to 11:8.

There were 33 rolls that were greater than 33.  Since there were 57 rolls altogether, there were 57-33 = 24 rolls that were not greater than 33; they must be less than or equal to 33.  Thus the ratio is 33:24.
6 0
4 years ago
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