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Luden [163]
3 years ago
11

An actor invests some money at 7%, and $48000 and more than twotimes the amount of 9%. The total annual interest earned from the

investment is $17820. How much did he invest at each amount?
Mathematics
1 answer:
forsale [732]3 years ago
5 0

Answer:

At 7% $54,000

At 9% $156,000

Step-by-step explanation:

Let x be the amount invested at 7%, Then 2x + 48000 will be the amount invested at 9%

We know that:

7% = 0.07 & 9% = 0.09

So we can write the interest equation as follows:

0.07x + 0.09 (2x + 48000) = 17820

0.07x + 0.18x + 4320 = 17820

0.25x + 4320 = 17820

Subtracting 4320 from both sides of the equation we get:

0.25x = 17820 - 4320

0.25x = 13500

Dividing both sides of the equation by 0.25 we get:

x = 13500 / 0.25

x = $54,000 invested at 7%

&

2 x 54000 + 48000

= $156,000 invested at 9%

Hence the amount invested at 7% is $54,000.

& the amount invested at 9% is $156,000.

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The lifetime of LCD TV sets follows an exponential distribution with a mean of 100,000 hours. Compute the probability a televisi
kondaur [170]

Answer:

0.9

0.3012

0.1809

230258.5

Step-by-step explanation:

Given that:

μ = 100,000

λ = 1/μ = 1 / 100000 = 0.00001

a. Fails in less than 10,000 hours.

P(X < 10,000) = 1 - e^-λx

x = 10,000

P(X < 10,000) = 1 - e^-(0.00001 * 10000)

= 1 - e^-0.1

= 1 - 0.1

= 0.9

b. Lasts more than 120,000 hours.

X more than 120000

P(X > 120,000) = e^-λx

P(X > 120,000) = e^-(0.00001 * 120000)

P(X > 120,000) = e^-1.2

= 0.3011942 = 0.3012

c. Fails between 60,000 and 100,000 hours of use.

P(X < 60000) = 1 - e^-λx

x = 60000

P(X < 60,000) = 1 - e^-(0.00001 * 60000)

= 1 - e-^-0.6

= 1 - 0.5488116

= 0.4511883

P(X < 100000) = 1 - e^-λx

x = 100000

P(X < 60,000) = 1 - e^-(0.00001 * 100000)

= 1 - e^-1

= 1 - 0.3678794

= 0.6321205

Hence,

0.6321205 - 0.4511883 = 0.1809322

d. Find the 90th percentile. So 10 percent of the TV sets last more than what length of time?

P(x > x) = 10% = 0.1

P(x > x) = e^-λx

0.1 = e^-0.00001 * x

Take the In

−2.302585 = - 0.00001x

2.302585 / 0.00001

= 230258.5

3 0
3 years ago
Convert 29 inches to feet. Round answers to the nearest tenth
Bess [88]
29 ÷ 12 = 2.41667
Your answer is 2.4 feet
7 0
3 years ago
please help! find the scale factor and ratio of perimeters for a pair of similar octagons with areas 64ftsq and 81ftsq. i need t
kati45 [8]

Answer:

the scale factor and the ratio of their perimeters is 8/9

Step-by-step explanation:

k^2=area 1/area 2

k^2=64/81

=square root if k^2=square root of 64/81

=<u>k</u><u>=</u><u>8</u><u>/</u><u>9</u>

4 0
2 years ago
WILL GIVE BRAINLIEST, RATING, AND THANKS!
Mashutka [201]

-10(-2)+y = 4

20 + y = 4

y = -16

----------------

-10(-1)+y = 4

10 + y = 4

y = -6

----------------

-10(0) + y = 4

0 + y = 4

y = -4

----------------

-10(1)+y = 4

-10 + y = 4

y = 14

----------------

-10(2)+y = 4

-20 + y = 4

y = 24

----------------

I hope thi helps

-ayden

6 0
3 years ago
Read 2 more answers
Pls help I can't do anything I will give the brain thingy
Sidana [21]

Step-by-step explanation:

<u>Blank</u><u> </u><u>C</u> :

Given total = 68

No. of TV news = 13

Therefore, in Internet it would be = Total - TV news

= 68 - 13 = <u>55 (ans)</u>

<u>Blank</u><u> </u><u>D</u> :

No. of Internet news in 7th grade = 55

No. of Internet news in 8th grade = 64

Hence, total Internet base news = 64 + 55 = <u>119 (ans)</u>

<u>Blank</u><u> </u><u>B</u> :

All total = 138

Internet news total = 119

Hence, TV news total = All total - Internet news

= 138 - 119 = <u>19 (ans)</u>

<u>Blank</u><u> </u><u>A</u> :

No. of TV news in 7th grade = 13

Total news in TV = 19

Therefore, no. of TV news in 8th grade = 19 - 13 = <u>6(ans)</u>

<u>Blank</u><u> </u><u>E</u> :

All total = 138

Total of 7th grade news = 68

Hence, total of 8th grade news = 138 - 68

= <u>70 (ans)</u>

6 0
3 years ago
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