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lara31 [8.8K]
2 years ago
15

The value of Desmond's home is modeled by the function V (x) = 275,000(1.09) ²/³x, where x is the number of years since 2012. By

what approximate percentage rate is the value of Desmond's home increasing per year?
Mathematics
1 answer:
Tasya [4]2 years ago
4 0

Answer:

  • 6%

Step-by-step explanation:

<u>Given function</u>

  • V(x) = 275000(1.09)^(2/3x)

<u>Every year the value is changing at the rate:</u>

  • (1.09)^(2/3) = 1.059 ≈ 1.06

The rate of 1.06 is equivalent of 6% increase per year

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Anna enjoys dinner at a restaurant in Washington DC where the sales tax on meals is 5%. She leave a 20% tip on the price of her
Maru [420]

Answer:

52.40

Step-by-step explanation:

Discussion

Suppose the meal starts out as x.

She pays 5% of x as a sales tax

So that brings the total up to 100% + 5% = 105%

Before paying, she pays 20% on x as her tip. The tax does not touch the tip.

So that brings the total up to 100% + 5% + 20% = 125% of this is based on x, the cost of the meal.

So 125% of x = 65.50                          change the % to a fraction

125/100 * x = 65.50                             Multiply both sides by 100/125  

125/100 * 100/125x = 100/125 * 65.50

x = 100/125 * 65.50                             Multiply by 100

x = 6550 / 125                                     Divide by 125

Check

Tax = 5% * 52.40 = 5/100 * 52.40 = 2.62

Tip = 20%*52.40 = 20/100 * 52.40=10.48

Meal =                                               52.40

Total                                                  65.50  Just as it should

8 0
3 years ago
The coordinates of the endpoint of QS are Q(-9,8) and S(9,-4). Point R is on cue as such that QR:RS Is in the ratio 1:2. What ar
marishachu [46]

R(–3, 4)

Step-by-step explanation:

Let Q(-9,8) and S(9,-4) be the given points and let R(x, y) divides QS in the ratio 1:2.

By section formula,

R(x, y)=R\left(\frac{m x_{2}+n x_{1}}{m+n}, \frac{m y_{2}+n y_{1}}{m+n}\right)

Here, x_{1}=-9, y_{1}=8, \text { and } x_{2}=9, y_{2}=-4 \text { and } m=1, n=2

Substituting this in the section formula

R(x, y)=R\left(\frac{1(9)+2(-9)}{1+2}, \frac{1(-4)+2(8)}{1+2}\right)  

To simplifying the expression, we get

\Rightarrow R(x, y)=R\left(\frac{9-18}{3}, \frac{-4+16}{3}\right)

\Rightarrow R(x, y)=R\left(\frac{-9}{3}, \frac{12}{3}\right)

⇒ R(x,y) = R(–3,4)  

Hence, the coordinates of point R is (–3, 4).

6 0
3 years ago
A positive integer is 1010 more than 2727 times another. their product is 1211712117. find the two integers.
Goshia [24]
1010 + 2727x = y
x*y = 1211712117
x*(1010 + 2727x) = 1211712117
2727x^2 + 1010x - 1211712117 = 0

Here's the nasty part.
In order for this to work, the square root of the quadratic formula must come back with an integer. In fact sqrt (b^2 - 4ac) comes back with
3635568.29 something. which is not a whole number. Either there is an error in the givens or something, but this question is never going to do what you think it will do.
4 0
3 years ago
If the radius of a circle with a area of 5.3 mm squared is multiplied by 5,
chubhunter [2.5K]
I'm guessing the question is meant to be "<span>If the radius of a circle with a area of 5.3 mm squared is multiplied by 5, what will the new area be?", so i'll answer that.

Area of a circle =</span>πr^2

5.3=πr^2, 5.3=π(5r)^2
132.5=25πr^2
6 0
3 years ago
Which of the following are binomials? Check all that apply.
Nezavi [6.7K]
<span>Binomial is the sum of two monomials.
</span>
\text{binominals:}\\\\C.\ x^2+18\\D.\ x+2
<span />
7 0
3 years ago
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