Find the equation of a line that passes through the point (0,1) and has a gradient of 2.

Mathematics

1 answer:

Usimov [2.4K]1 year ago

6 0

Answer:

y = 2x + 1

Step-by-step explanation:

Given point (0, 1) and the slope m = 2

Use point- slope form to find the equation of the line:

y - y₁ = m(x - x₁)
y - 1 = 2(x - 0)
y - 1 = 2x
y = 2x + 1

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suppose that you have 3000$ to invest. which investment yields the greater return over a 10 year period: 8.04% compounded daily

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Answer: Option A: 8.04% compounded daily

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$A = P\bigg(1+\dfrac{r}{n}\bigg)^{nt}\qquad where\\\\\bullet A = \text{accrued amount (principal plus interest earned)}\\\bullet P = \text{principal (amount invested)}\\\bullet r = \text{rate (in decimal form)}\\\bullet n=\text{number of times compounded in one year}\\\bullet t=\text{time (number of years)}\\\\\\Option\ A:\\A = \text{unknown}\\P=3000\\r=8.04\%\rightarrow 0.0804\\n=\text{daily}\rightarrow 365\\t=10\\\\A=3000\bigg(1+\dfrac{0.0804}{365}\bigg)^{365\times 10}\\\\.\ =\$ 6,702.79$

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