The account is starting off with 1500, so that will be the start value. Since it is simple interest, it will always be gaining 4 percent of 1500. Let's find 4 percent of 1500.
1500×.04= 60
The account will be growing by $60 every year.
1500+60x=y
X is the number of years. We can find the interest earned by multiplying 5, since that is the number of years we are trying to find, and 60, since that is the interest.
60×5= 300
The interest earned is $300 over 5 years.
Now let's find the balance of the account after 5 years.
1500+ 60(5)=y
1500+300=y
1800=y
The balance of the account will be $1,800 after 5 years.
Answers:
- a) 693 sq cm (approximate)
- b) 48 sq cm (exact)
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Explanation:
Part (a)
A regular triangular pyramid, aka regular tetrahedron, has all four triangles that are identical copies of one another. They are congruent triangles. This will apply to part (b) as well.
To find the area of one of the triangles, we'll use the formula
A = 0.25*sqrt(3)*x^2
where x is the side length. This formula applies to equilateral triangles only.
In this case, x = 20, so
A = 0.25*sqrt(3)*x^2
A = 0.25*sqrt(3)*20^2
A = 173.20508 approximately
That's the area of one triangle, but there are four total, so the entire area is about 4*173.20508 = 692.82032 which rounds to 693 sq cm.
The units "sq cm" can be written as "cm^2".
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Part (b)
We'll use the same idea as part (a). But the formula to find the area of one triangle is much simpler.
The area of one of the triangles is A = 0.5*base*height = 0.5*6*4 = 12 sq cm.
So the area of all four triangles combined is 4*12 = 48 sq cm
This area is exact.
The area of each 2D flat net corresponds exactly to the surface area of each 3D pyramid. This is because we can cut the figure out and fold along the lines to form the 3D shapes.
Answer:
the answer to 5x-7(2-4x)= =33x−14
the answer to 8 - 3(6 - 6x) ==18x−10
the answer to 9a - 4(2a + 5) ==a−20
Step-by-step explanation:
Answer:
f(-2) = 2
Step-by-step explanation:
The question is asking for the y-value of the point located at x = -2 on the graph. The point is at (-2, 2), so f(-2) = 2.
Answer: a. x = 45 b. No
Explanation: a. 360-90=270
3x+2x+x= 6x and 6x=270 so divide both sides by 6x and x = 45
b. As you can see from the image below None of the lines would be parallel.
