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2 years ago

15

John placed $5000 in an account that earns interest compounded annually. His interest rate is 8.2%. If John leaves his money in

the account for 10 years, what is the balance of his account? Round your answer to the nearest dollar.

1 answer:

devlian [24]2 years ago

8 0

$9,100

I multiplied 5000 x .082 and got 410
then i multiplied 410 x 10 and got 4,100
then i added 5000 + 4100 to get $9,100.

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A cup of coffee contains about 100 mg of caffeine. Caffeine is metabolized and leaves the body at a continuous rate of about 12%

Mamont248 [21]

Answer:

a. $A = C_{0}(1-x)^t\\x: percentage\ of \ caffeine\ metabolized\\$

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Step-by-step explanation:

First, we need tot find a general expression for the amount of caffeine remaining in the body after certain time. As the problem states that every hour x percent of caffeine leaves the body, we must substract that percentage from the initial quantity of caffeine, by each hour passing. That expression would be:

$A= C_{0}(1-x)^t\\t: time \ in \ hours\\x: percentage \ of \ caffeine\ metabolized\\$

Then, to find the amount of caffeine metabolized per hour, we need to differentiate the previous equation. Following the differentiation rules we get:

$\frac{dA}{dt} =C_{0}(1-x)^t \ln (1-x)\\\frac{dA}{dt} =100*0.88\ln(0.88)\\\frac{dA}{dt} =-11.25 \frac{mg}{h}$

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3 years ago

what is the probability of rolling 15 with a pair of dice? answer in likely, unlikely, equally likely, or impossible

aleksley [76]

it is clearly impossible

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2 years ago

Write an equation for the statement: A kilogram is equal to approximately 2.2 pounds. A cinder block weighs x pounds. A brick ha

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the total mass in kilograms y of the cinder block and brick is $y=0.45x + 0.6$ .

<u>Step-by-step explanation:</u>

Here we have , A kilogram is equal to approximately 2.2 pounds. A cinder block weighs x pounds. A brick has a mass of 0.6 kilogram. We need to find What is the total mass in kilograms y of the cinder block and brick . Let's find out :

According to given data in question ,

⇒ $1kg = 2.2pounds$

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Therefore , the total mass in kilograms y of the cinder block and brick is $y=0.45x + 0.6$ .

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3 years ago

What is the numeral that is 100,000 more than 7,264,987?

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3 years ago

The school is ordering 2,000 cupcakes to celebrate reading.the school can Oder the cupcakes in the sets of 10.how many sets of 1

aleksklad [387]

Answer:

200 sets of 10 can be ordered to complete the order of 2,000 cakes.

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Total numbers of cupcakes to be ordered = 2,000

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