If the rock climber starts at 630 feet above sea level, decending down 180 feet lower than his starting point (630) would put him at 450 feet above sea level. Hope this helps

7 0

3 years ago

One angle is eight times it’s supplement increased by 45 degrees. What is the measures of the two supplementary angles?

Nastasia [14]

Angle 1 = 8x + 45
Angle 2 = x

x + 8x + 45 = 180
combine like terms

9x + 45 = 180
subtract 45 from both sides

9x = 135
divide both sides by 9 to isolate x

x = 15

Angle 1 = 8(15) + 45 = 165 degrees
Angle 2 = 15 degrees

6 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

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

Hence, it will take 8 years.

8 0

3 years ago

What is the area of this parallelogram?

alisha [4.7K]

Answer:

Step-by-step explanation:

the base is 10 the height is 3

10 x 3 = 30

5 0

3 years ago

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