3 years ago

Why can you eliminate the solution of -0.2 in the context of this problem? Check all that apply.

Mathematics

1 answer:

ivolga24 [154]3 years ago

7 0

Answer: B (It does not make sense for time to be negative.) & C (The ball cannot hit the ground before it is thrown.)

Step-by-step explanation:

I answered the question already

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Bailey writes the expression g2 + 14g + 40 to represent the area of a planned school garden in square feet. If g = 5, what are t

ikadub [295]

The expression is $A=g^2 + 14g + 40$ .
$D=14^2-4\cdot 40=196-160=36 \\ \sqrt{D}=6 \\ q_{1,2}= \dfrac{-14\pm 6}{2} =-4,-10$ .
Then $A=g^2 + 14g + 40=(g+4)(g+10)$ .
The width is g+4, the length is g+10.
When g=5,
g+4=9 ft and g+10=15 ft.
Answer: correct choice is D.

5 0

3 years ago

Ted invests $8,310 in a savings account with a fixed annual interest rate of 2% compounded continuously. How long will it take f

Vsevolod [243]

Answer: It will take 8 years.

Step-by-step explanation:

Equation for interest compounded continuously:

$A=Pe^{rt}$ , A = accumulated amount , P=Principal value , r =rate of interest , t= time.

Given: P= $8,310 , r = 2% , A= $9,751.88

$9751.88=8310e^{0.02t}\\\\\Rightarrow\ \dfrac{9751.88}{8310}=e^{0.02t}\\\\\Rightarrow\ 1.17351143201=e^{0.02t}$

Taking natural log on both sides

$\ln (1.17351143201)=\ln (e^{0.02t})\\\\\Rightarrow\ 0.160000478068=0.02t\\\\\Rightarrow\ t=\dfrac{0.160000478068}{0.02}\\\\\Rightarrow\ t=8.0000239034\approx8$