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3 years ago

Luke puts $35 in his savings account every month. Use a calculator to find how much money he will save in a year.

Mathematics

1 answer:

ipn [44]3 years ago

8 0

420.00 that's how much he would have saved in a year

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In the number 9,999.999, how does the 9 in the hundredths place compare to the 9 in the place to its left?

Inessa [10]

Answer:

Step-by-step explanation:

The 9 in the hundredth place means 0.01 so this can be 1/10 of the number on its left and 1/100 of the number 2 places to the left and will be 1/1000 3 places to the left and will continue with the number of terms to the left adding 1, 0.

1 place left means 1 more 0; 1/10

2 place left means 2 more 0s; 1/100

3 places left means 3 more 0s; 1/1000

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1 year ago

Find the number of ways to purchase 3 different kinds of drinks from a selectio. of 10 drinks.

arsen [322]

Answer:

Step-by-step explanation:

If you do 3x10 it equals 30

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3 years ago

1. (5 +4 – 2) x (-2) = ? A. -14 B.22 O c. 14 D.-22

Mariana [72]

Answer:

Step-by-step explanation:

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3 years ago

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Please help!! giving brainliest

sammy [17]

Answer:

They are congruent, this is because both shapes are the same size and have the same angles as show with the lines at the edges. I believe it's AAS

Step-by-step explanation:

Hoped this helped!

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3 years ago

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Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference between its te

Aleonysh [2.5K]

Answer:

t=5.18 minute

Step-by-step explanation:

Using Newton's law of cooling

$\frac{dT}{dt}=-k(T-T_{s})$

T is temperature of a cup of coffee at any time t $T_{s}$ , is the temperature of the surrounding and k is a constant of proportionality in this negative because temperature is decreasing.

$T(0)=190\\T(1)=170\\T_{s}=66$

$\frac{dT}{dt}=-k(T-T_{s})\\\frac{dT}{(T-T_{s})}=-k*dt\\\int\limits {\frac{1}{T-T_{s} } } \, dT=-\int\limits {k} \, dt\\ln(T-T_{s})=k*t+C\\e*ln(T-T_{s})=e^{k*t+C} \\T-T_{s}=e^{k*t}*e^{C}\\e^{C}=C\\T-T_{s}=e^{k*t}*C\\T=T_{s}+e^{k*t}*C$

To find constant knowing the time and the temperature the first step of the change of energy in cup of coffee

$T=T_{s} +e^{-k*t}*C\\ C=190-66=124\\170=66+124*e^{-k*2}\\ 170-66=124*e^{-k*2}\\ln(\frac{104}{124})=ln*e^{-k*2}\\-0.175=-k*2\\k=0.08794$

Now using the constant of decreasing can find the time to be a 145 temperature the cup of coffee

$145=66+124*e^{-k*t} \\145-66=124*^{-0.087*t}$

$ln(0.637)=ln*e(-0.087*t)\\-0.45=-0.087*t\\t=5.18minutes$

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3 years ago