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3 years ago

Carl runs 1 mile (mi) in 10 minutes. How long will it take him to run 24 mi at the same speed?

1 answer:

8 0

The correct answer is 4 hours because if he does 1 mile in 10 minutes keep adding 10 minutes to each mile until you get to 24miles

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I need help solving for x: log x = 2.46 - 1.12 * log y

Mariulka [41]

$\bf log_{{ a}}(xy)\implies log_{{ a}}(x)+log_{{ a}}(y)
\\\\\\
% Logarithm of exponentials
log_{{ a}}\left( x^{{ b}} \right)\implies {{ b}}\cdot log_{{ a}}(x)
\\\\\\
{{ a}}^{log_{{ a}}x}=x\impliedby \textit{log cancellation rule}\\\\
-----------------------------\\\\$

$\bf log(x)=2.46-1.12log(y)\iff log_{10}(x)=2.46-1.12log_{10}(y)
\\\\\\
log_{10}(x)=2.46-log_{10}(y^{1.12})\implies log_{10}(x)+log_{10}(y^{1.12})=2.46
\\\\\\
log_{10}(x\cdot y^{1.12})=2.46\implies 10^{\cfrac{}{}log_{10}(x\cdot y^{1.12})}=10^{2.46}
\\\\\\
xy^{1.12}=10^{2.46}\implies \boxed{x=\cfrac{10^{2.46}}{y^{1.12}}}$

8 0

4 years ago

Tony is evaluating his retirement savings. He currently has $318,000 in his account which earns an interest rate of 7% compounde

castortr0y [4]

Answer:

(1) $A(t)= 318000(1.07)^t$

(3)t=16.93 years

Step-by-step explanation:

For a Principal Saved at Compound Interest, the Amount accrued is derived by the function:

$A(t)= P(1+r)^t$

When:

(1)P=$318,000

r=7%=0.07

$A(t)= 318000(1+0.07)^t\\A(t)= 318000(1.07)^t$

(2)See Attachment

(3)If Tony's goal is to save $1,000,000.

$1000000= 318000(1.07)^t\\(1.07)^t=\frac{1000000}{318000} \\(1.07)^t=3.1447\\Log_{1.07}\frac{1000000}{318000}=t\\t=16.93$

(4)The graph confirms the result as the $1000000 Mark on the y-axes occurs almost at x=17

6 0

3 years ago

The temperature of the water in Emily's fish tank was 78 on Sunday the water temperature changed by -3 on Monday and then 3 on T

Scilla [17]

Answer:

change was 0

temp on tuesday was 78

Step-by-step explanation:

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3 years ago

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Does anyone know how to answer question 7?

horrorfan [7]

Answer:

Does anyone know how to solve this question

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3 years ago

What is the domain of the function f(x)= square root of 1/3x+2

NARA [144]

Hello!

The domain is $x \geq -6$

Hope this helps!

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3 years ago

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