Answer:
B
Step-by-step explanation:
The compound interest formula is 
where:
- P is the starting amount called the principle
- r is the rat written as a decimal
- n is the number of times compounded in a year
- t is the number of years
Substitute a value into each variable to solve.
- P = $147 since 10% of 1,470 is being invested which makes P = 0.10(1470) = 147.
- The rate is 3.5% or r = 0.035.
- n = 12 because it is compounded monthly meaning 12 times a year.
- t = 25 since it will earn for 25 years.
Repeat this process for each formula.
The lower quartile is quartile 1. The graph shows it as "-4". So the answer is D.
The answer of
<span>-45+(-30)-90= -165
Hope this helps <3
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Given:
Square pyramid with lateral faces.
646 ft wide at the base.
350 ft high.
Because of the term lateral faces, we need to get the lateral area of the square pyramid.
Lateral Area = a √a² + 4 h² ; a = 646 ft ; h = 350 ft
L.A. = 646 ft √(646ft)² + 4 (350ft)²
L.A. = 646 ft √417,316 ft² + 4 (122,500 ft²)
L.A. = 646 ft √417,316 ft² + 490,000 ft²
L.A. = 646 ft √907,316 ft²
L.A. = 646 ft * 952.53 ft
L.A. = 615,334.38 ft²
- If the square of a number is added to 8 times the number, the result is 100. Find x.
Let's take the number as 'x'.
- Square of x = x²
- 8 times x = 8x
We are given that, 8x + x² = 100
Now, let's solve for x.
__________________
Quadratic equations such as this one can be solved by completing the square. In order to complete the square, the equation must first be in the form x²+bx=c.
Divide 8, the coefficient of the x term, by 2 to get 4. Then add the square of 4 to both sides of the equation. This step makes the left-hand side of the equation a perfect square.
Square 4.
Add 100 to 16.
Factor x²+8x+16. In general, when x²+bx+c is a perfect square, it can always be factored as 
.
Take the square root of both sides of the equation.
Simplify.
Subtract 4 from both sides of the equation.
- x can be either of these values.
