Reduce the numbers with 3. Any expression divided by 1 remains the same.
Answer:
You should invest $2000 at 5% simple interest in order to earn $100 interest in 12 months.
Step-by-step explanation:
Using the formula

where
I = Interest earned
P = The principal (let say in $)
r = The Interest Rate
t = time
Given that
- P = The principal amount needed to invest (let say in $)
Thus,

100 = P × 5% × 1
100 = P × 5/100 × 1
100 × 100 = P × 5
10000 = P × 5
P = 10000/5
= 2000 (let say in $)
Thus, you should invest $2000 at 5% simple interest in order to earn $100 interest in 12 months.
Answer:
148ft
Step-by-step explanation:
To solve this question, you'll have to imagine the statue makes a right angle triangle with the base since it has an angle of elevation from the base to the top of the torch.
Assuming the height from the pedestal to the top of the torch is y
The height of the statue is x
But we know the height of the pedestal = 150ft
The distance from the observer to the base of the pedestal = 250ft
And the angle of elevation = 50°
See attached document for better illustration.
Tanθ = opposite / adjacent
θ = 50°
Adjacent = 250
Opposite = y
Tan50 = t / 250
y = 50 × tan50
y = 50 × tan50
y = 50 × 1.1917
y = 297.925ft
The height of the statue from the base of the pedestal to the top of the torch is 297.925ft
The height of the statue = x
x = (height of the statue + height of the pedestal) - height of the pedestal
x = y - 150
x = 297.925 - 150
x = 147.925ft
Approximately 148ft
The height of the statue is 148ft
Answer:
b) 16 + 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100 + 121
Step-by-step explanation:

Answer:
The first image.
x | y
-4 | 0
0 | 20 <--- When x = 0, the y value is the y-intercept.
4 | 40
8 | 60
Step-by-step explanation:
To check the slope, we can use the equation (y₂ - y₁) ÷ (x₂ - x₁) using any two pairs given. For this example, I'll use (-4, 0) and (4, 40).
x₂ y₂ x₁ y₁
(0 - 40) ÷ (-4 - 4)
(-40) ÷ (-8)
<u>Slope = 5</u>
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~Hope this helps!~