Answer:153
Step-by-step explanation:
From the question, we are informed that Emilio asks his classmates what month they were born and that he finds that 15 out of 125 classmates were born in July. This gives us a fraction of 15/125 = 3/25.
If there are 1,280 students in Emilio's school, the number of students that he can expect to have birthdays in July would be:
= 3/25 × 1280
= 153.6
There will be 153 students expected
<h2>
Answer:</h2>
The simple interest is calculated only on the principal amount of a loan so it is relatively easier to calculate than the compound interest.
The compound interest is calculated on the principle amount plus the interest that the amount gets per compounding period up to the period of the loan. In other words, in compound interest we get, interest on interest.
This difference between the both, is the reason, we get more money in compound interest than simple one.
Let us take an example-
Suppose the principle is = $5000
r = 5% or 0.05
t = 5 years
Simple interest formula is :
=> 
So, total amount after 5 years will become = 
dollars.
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Lets check for compound interest where the interest is compounded annually.
p = $5000
r = 5% or 0.05
t = 5 years
n = 1
Compound interest formula is :
=>
A = $6381.40
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We can see that we are getting more money in compound interest than the simple interest, for the same amount and same time period.
Answer:
228cm^2
Step-by-step explanation:
Formulas we'll use: area of a rectangle is length x width, and area of a triangle = 1/2x base x height
the base is a rectangle, 10 by 3 cm. 10 x 3 = 30cm^2
the sides are also rectangles, 13 by 3 cm. 13 x 3 = 39, but there are 2 of them, 39 x 2 = 78cm^2
The top and bottom are triangles, 1/2(10)(12) = 1/2(120) = 60, but there are 2 of them, 60 x 2 = 120cm^2
Add up the areas to get your total surface area. It's in square cm
30 + 78 + 120 = 228cm^2
X= # tickets Shaun sold
1/2x+3= # tickets Trudy sold
Add them together.
= x + (1/2x + 3)
combine like terms
= (x + 1/2x) + 3
= 1 1/2x + 3
convert to improper fraction
= 3/2x + 3
ANSWER: 3/2x + 3 (3rd choice down)
Hope this helps! :)
Answer:
x = 5/2
or
x = -2
Step-by-step explanation:
recall that the roots of a function f(x) are basically the values of x that will make f(x) = 0,
we find these values of x by making f(x) = 0 and then solving the equation for x,
in our case,
f(x) = -3(2x – 5)(x + 2)
to find roots,
f(x) = 0
-3(2x – 5)(x + 2) = 0
Equating each factor = 0, the equation can be broken down into:
-3 = 0 (obviously not valid, hence we can ignore this)
or
(2x – 5) = 0 add 5 to both sides
2x = 5 divide both sides by 2
x = 5/2 ( Answer)
or
(x + 2) = 0 subtract 2 from both sides
x = -2 (Answer)
