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katovenus [111]
3 years ago
14

The length of a living room is 3 feet more than its width. The area of the living room is 270 square feet. Write an equation tha

t represents the area of the living room​
Mathematics
1 answer:
Paraphin [41]3 years ago
4 0

Answer:

if the length is longer than width then it means its a rectangle...and equation of the area is length×breath ... therefore 270=x×3x

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Evaluate functions <br> g(0)=-x-2
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g(0) = -2

Step-by-step explanation:

g(x) = -x - 2

To find g(0), replace x with 0 in the equation.

g(0) = -0 - 2 = -2

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How long would it take Belinda's $800 investment to double in value if she has a bond with a 8.75% interest rate?
enyata [817]

Answer:

it takes approximately 11 years and 3 months (11.4 years) for Belinda's investments to double.    

Step-by-step explanation:

To calculate the time it takes for Belinda's money to double, we will use the simple interest formula as shown below:

Simple interest = P × R × T

where:

P = principal = $800

R = Rate in decimal = 8.75% = 0.0875

T = time = ???

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∴ 800 = 800 × 0.0875 × t

800 = 70 × t

∴ t = 800 ÷ 70 = 11.4 years. (11 years and 3 months)

Therefore after approximately 11 years and 3 months, Belinda's investments doubles

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Step-by-step explanation:

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Write an expression to represent: Eight more than the product of two and a number xxx.
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8+2X is the expression of eight more than the product of two and a number

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Solve log8 12=x-2. Round your answer to four decimal places.
olganol [36]

Answer:

\large\boxed{x\approx3.1950}

Step-by-step explanation:

\log_ab=c\iff a^c=b\\\\\log_812=x-2\iff8^{x-2}=12\\\\(2^3)^{x-2}=4\cdot3\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{3(x-2)}=2^2\cdot3\qquad\text{use the distributive property}\\\\2^{3x-6}=2^2\cdot3\qquad\text{divide both sides by}\ 2^2\\\\\dfrac{2^{3x-6}}{2^2}=3\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\2^{3x-6-2}=3\\\\2^{3x-8}=3\qquad\text{logarithm of both sides}\\\\\log_22^{3x-8}=\log_23\qquad\text{use}\ \log_aa^n=n\\\\3x-8=\log_23\qquad\text{add 8 to both sides}

3x=\log_23+8\qquad\text{divide both sides by 3}\\\\x=\dfrac{\log_23+8}{3}\\\\\log_23\approx1.5849625\\\\x\approx\dfrac{1.5849625+8}{3}\approx3.1950

4 0
3 years ago
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