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zhuklara [117]
4 years ago
12

Need help with #11. The answer is about 13.86 years but show work please.

Mathematics
1 answer:
tangare [24]4 years ago
6 0

Answer:

13.86

Step-by-step explanation:

formula for cont. compounding interest is

Amount = Principal * e^rt

in this case the principal is 5000, and the amount is 10000 (double). the rate is 5% or 0.05. and t is what we are solving for.

sub in to get:

10000 = 5000e^0.05t

2 = e^0.05t

now convert to log form.

ln 2 = 0.05t

ln 2 / 0.05 = t

punch that into your calculator and you get 13.86 years

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A terrarium is built in the shape of a triangular prism. The prism is 10 inches in height and contains 450 cubic inches of space
Stells [14]

Answer:

45 square inches

Step-by-step explanation:

We are told that a terrarium is constructed in a triangular prism shape with the following 10 inches tall and 450 cubic inches in volume.

We are asked to calculate the area of the base shape of the prism, we know that the volume of any triangular prism is equal to the area of the base times the height therefore:

450 = W × 10

we solve for A:

A = 450/10

A = 45

Which means that the base area is 45 square inches

3 0
4 years ago
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HELP ASAP!!! THANK YOU!!!
alex41 [277]

Answer:

Additional information required is

<DBA = 90°

Step-by-step explanation:

<DBA + <DBC = 180° [Linear pair]

=> <DBA = 180° - <DBC

=> <DBA = 180 - 90

=> <DBA = 90

Hence, both the angles <DBA = <DBC = 90°

As we know that when a perpendicular bisector bisects a straight line both the angles should be,

180° ÷ 2 = 90°

And above conditions also prove that

<DBA = <DBC = 90°

<em><u>Hence, DE is a perpendicular bisector of AC </u></em>

6 0
3 years ago
A talk driver charges $3.50 per mile driver gives a 10mile ride a 5.5 mile ride and a 19 mile ride.he then spends $50 to fill up
salantis [7]

Answer: The driver has $95.25 after the last ride.

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$3.5 x 10 = $35

$3.5 x 5.5 = $19.25

$3.5 x 19 = $91

Now add them up.

$35 + $19.25 + $91 = $145.25.

However, he spends $50 on gas. So subtract $145.25 and $91.

$145.25 - $91 = $95.25.

Therefore, the driver has $95.25 after the last ride.

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the answer is $20.70


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salantis [7]

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Step-by-step explanation:

To be a rational number, we need to multiply two irrational numbers

An example would be

sqrt(2) * sqrt(2) = sqrt(4) = 2

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3 years ago
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