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3 years ago

6

After each charging, a battery is able to hold only 99% of the charge from the previous charging. The battery was used for 15 ho

urs on its first charge before it had to be recharged. What is the total number of hours the battery can be used over its lifetime?

1 answer:

valentina_108 [34]3 years ago

4 0

Answer: 13.5 hours or 14 hours (if you round it)

Step-by-step explanation:

$\frac{0.90}{1.00}$ * 15

=13.5

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Find the mass at time t=0. ANSWER HAS TO BE IN GRAMS

777dan777 [17]

For part (a) the answer is 400 grams for part (b) 198.63 grams and for part (c) 20 years.

<h3>What is exponential decay?</h3>

During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.

We have an equation for radioactive decay:

$\rm m(t) = 400e^{-0.035t}$

a) Plug t = 0

$\rm m(0) = 400e^{-0.035\times 0}$

m(0) = 400 grams

b) plug t = 20 years

$\rm m(20) = 400e^{-0.035\times 20}$

After solving:

m(20) = 198.63 grams

c) Plug m(t) = m(0)/2 = 400/2 = 200 grams

$\rm 200 = 400e^{-0.035t}$

x = 19.80 years ≈ 20 years

Thus, for part (a) the answer is 400 grams for part (b) 198.63 grams and for part (c) 20 years.

Learn more about the exponential decay here:

brainly.com/question/14355665

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3 0

2 years ago

Multiply 5 yards 18 inches by 3? please show work

lesya692 [45]

Answer:

5 yards = 15 feet = 180 inches

Step-by-step explanation:

180 inches plus 18 inches = 198 inches

198 x 3 = 594 inches

594 inches = 49 feet 6 inches = 16 yards 1 foot 6 inches, or 16 yards 18 inches

7 0

3 years ago

Bill's recipe for onion soup call for 4.0lb of thinly sliced onions. If an onion has an average mass of 115g, how many onions do

musickatia [10]

Answer:

1. $16\ onions$

2. $4,040.91\ kg$

Step-by-step explanation:

1. You know that the average mass of an onion is 115 grams and Bill needs 4.0 pounds.

Then, since $1\ lb=453.592\ g$ , we can make the following conversion:

$(4.0\ lb)(\frac{453.592\ g}{1\ lb})=1,814.37\ g$

Then, the number of onions Bill needs is:

$(1,814.37\ g)(\frac{1\ onion}{115\ g})=15.77\ onions$ ≈ $16\ onions$

2. Since $1\ kg=2.20462\ lb$ , we can make the following conversion:

$(11\ lb)(\frac{1\ kg}{2.20462\ lb})=4.98\ kg$

Knowing that all the potatoes sold today at the store bring in $1,420 and 4.98 kilograms of potatoes is $1.75, we can calculate the amount of kilograms the grocery shoppers bought:

$(\$1,420)(\frac{4.98\ kg}{\$1.75})=4,040.91\ kg$

6 0

3 years ago

Plsss help want is the second answer

docker41 [41]

Answer:

5 1/2 is your second answer :)

3 0

3 years ago

Read 2 more answers

A bank made a farmer loan of $1,000 at 14% for 3 years compounded annually. Find the future value and the compound interest paid

Anna11 [10]

Answer:

Principal = $1,000

Rate of interest = 14% = 0.14

Time = 3 years

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

A = Amount or future value

P = Principal

r = rate of interest in decimals

t = time

Substitute the values in the formula

$A= 1000(1+0.14)^3$

$A=1481.544$

Future Value is $1481.544

Compound interest = Amount - Principal = $1481.544- $1000 = $481.544

Formula of simple interest : $SI =\frac{P \times R \times T}{100}$

Substitute the values :

$SI =\frac{1000 \times 14 \times 3}{100}$

$SI =420$

So, Simple interest = $420

Compound interest - Simple interest

= $481.544- $420

= $61.544

So, Compound Interest is $61.544 more than simple interest.

8 0

3 years ago