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2 years ago

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The value of zlatans house has increased by 7% his house is now valued at £749 000 work out the value of the house before the in

crease

1 answer:

Colt1911 [192]2 years ago

4 0

Answer:

Let x be the value of the house before increase

Since it's increases add 7% to the overall 100%

107/100x = 749000

x = 700000

The value of the house before increase is £700000.

Hope this helps.

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Chris and Becky are comparing mortgages. The mortgage is for $183,500. If they choose 30 years at 5%, their monthly payment will

soldi70 [24.7K]

Answer:

For 30 years at 5% = $354,625.2

For 20 years at 4.5% = $278,618.4

Step-by-step explanation:

The total payback for each payment is given by the monthly payment multiplied by the total number of months for the payment period (years).

1) For 30 years at 5%

Total number of months in 30 years = 30 x 12 = 360 months

Payback = $985.07 x 360 = $354,625.2

2) For 20 years at 4.5%

Total number of months in 20 years = 20 x 12 = 240 months

Payback = $1160.91 x 240 = $278,618.4

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2 years ago

Read 2 more answers

General Hospital has noted that they admit an average of 9 patients per hour.

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Answer:

(a) The probability that during the next hour less than 3 patients will be admitted is 0.00623.

(b) The probability that during the next two hours exactly 8 patients will be admitted is 0.00416.

Step-by-step explanation:

<u>The complete question is:</u> General Hospital has noted that they admit an average of 8 patients per hour.

(a) What is the probability that during the next hour less than 3 patients will be admitted?

(b) What is the probability that during the next two hours exactly 8 patients will be admitted?

The above situation can be represented through Poisson distribution as it includes the arrival rate of the pattern. So, the probability distribution of the Poisson distribution is given by;

$P(X = x) = \frac{e^{-\lambda} \times \lambda^{x} }{x!} ; x = 0,1,2,......$

Here X = Number of patients admitted in the hospital

$\lambda$ = arrival rate of patients per hour = 9 patients

So, X ~ Poisson( $\lambda$ = 9)

(a) The probability that during the next hour less than 3 patients will be admitted is given by = P(X < 3)

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

= $\frac{e^{-9} \times 9^{0} }{0!} + \frac{e^{-9} \times 9^{1} }{1!} + \frac{e^{-9} \times 9^{2} }{2!}$

= $e^{-9} +(e^{-9} \times 9)+ \frac{e^{-9} \times 81}{2}$

= <u>0.00623</u>

(b) Here, $\lambda = 9 \times 2$ = 18 because we have to find the probability for the next two hours and we are given in the question of per hour.

So, X ~ Poisson( $\lambda$ = 18)

Now, the probability that during the next two hours exactly 8 patients will be admitted is given by = P(X = 8)

P(X = 8) = $\frac{e^{-18} \times 18^{8} }{8!}$

= <u>0.00416</u>

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2 years ago

What is the volume of the pyramid?

s2008m [1.1K]

Answer:

$16\sqrt{3}$ $cm^{3}$

Step-by-step explanation:

I think your question missed key information, allow me to add in and hope it will fit the orginal one. Please have a look at the attached photo,

<em>A solid oblique pyramid has an equilateral triangle as a base with an edge length of 4StartRoot 3 EndRoot cm and an area of 12StartRoot 3 EndRoot cm2. </em>

<em>What is the volume of the pyramid?</em>

My answer:

As we know, The volume of a pyramid = $\frac{1}{3}$ base area × its height

Given:

Side lenght of the base is; $4\sqrt{3} cm$

=> The area of the base is $12\sqrt{3}$ $cm^{2}$

In Δ ACB measure of angle ACB is 90° and m∠ CAB is 30°

We use: $tan(30) = \frac{BC}{AC}$

<=> BC = $4\sqrt{3}*tan(30)$

= 4 cm

And BC is the height of the the pyramid

=> The volume of a pyramid = $\frac{1}{3}$ $12\sqrt{3}$ $cm^{2}$ * 4 cm

= $16\sqrt{3}$ $cm^{3}$

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2 years ago

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To go bowling, it costs $2 to rent shoes and then $3.25 for each game bowled. Which of the following functions gives the total c

vekshin1

2+3.25g=y
G would be the independent variable, which means the total cost would depend on it since it depends on the number of games you bowl. Y could be any variable, such as T or C.
2+3.25g=y

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2 years ago

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Jonah was standing at an elevation somewhere between Negative 1 and one-half and Negative 2 and one-third meters with regards to

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Options :

A number line going from negative 3 to positive 3 in increments of 1.

1 and StartFraction 5 Over 6 EndFraction meters

Negative 2 and StartFraction 3 Over 6 EndFraction meters

2 and StartFraction 3 Over 6 EndFraction meters

Negative 1 and StartFraction 5 Over 6 EndFraction meters

Answer:

Negative 1 and StartFraction 5 Over 6 EndFraction meters

Step-by-step explanation:

Jonah's position range :

Between - 1 1/2 meters and - 2 1/3 meters with respect to sea level

With regards to sea level and the range of position given ; Jonah's position will be below sea level, that is Jonah's position cannot be a positive location on the number line, thus all options with positive values are incorrect.

Hence Jonah's position will be any number on a number line located in between :

-2 1/3 and - 1 1/2

That is

-2 1/3 ≤ Jonah's location ≤ - 1 1/2

-2 1/2 ( this is less than - 2 1/3) (incorrect)

-1 5/6 lies in between the given range and is thus a possible position.

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2 years ago