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Valentin [98]
3 years ago
9

If Angela $98,760 home appreciates 3% a year will she have enough appreciation to try to sell a home for a $15,000 profit in fiv

e years yes or no
Mathematics
1 answer:
olasank [31]3 years ago
3 0

Answer:

Yes

Step-by-step explanation:

So, first, in 5 years, the home will have appreciated by 15%. (5 years times 3%). Once you find 15% of 98760, which is 658400, you have to add it on to the original price of the house. At this point, the house costs 757160 dollars. You then subtract the original price of the house from the price of the house 5 years from now. (757160-98760) and you get 658400. As you can tell, 658400>15000. Therefore, the answer is yes.

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Identify the 42nd term of an arithmetic sequence where a1 = -12 and a27 = 66
Dmitry_Shevchenko [17]
The arithmetic formula is expressed as an = a1 + d *(n-1)where n is an integer. Substituting from the given a1 = -12 and a27 = 66, 66 = -12 + d *(27-1). hence  , d is equal to 3. a42 thus using the formula is equal to 111. The final answer to this problem is 111.
7 0
3 years ago
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In the standard x,y plane, a circle has a radius 6 and center (7, 3). The circle intersects the x-axis at (a, 0) and (b, 0). Wha
arsen [322]

Answer:  The required value of a+b is 14.

Step-by-step explanation:  Given that in the standard xy plane, a circle has a radius 6 and center (7, 3).

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We are to find the value of a+b.

We know that

the standard equation of a circle with center at (h, k) and radius r units is given by

(x-h)^2+(y-k)^2=r^2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

For the given circle, we have

(h, k) = (7, 3)  and  r = 6 units.

So, from equation (i), we get

(x-7)^2+(y-3)^2=6^2\\\\\Rightarrow (x-7)^2+(y-3)^2=36~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)

Since the circle (ii) passes through the points (a, 0) and (b, 0), so let the point be denoted by (c, 0), then we have

(c-7)^2+(0-3)^2=36\\\\\Rightarrow (c-7)^2+9=36\\\\\Rightarrow (c-7)^2=27\\\\\Rightarrow c-7=\pm3\sqrt3~~~~~~~~~~~~~~~~~~~~~~[\textup{Taking square root on both sides}]\\\\\Rightarrow c=7\pm3\sqrt3

Therefore, we get

a=7+3\sqrt3,\\\\b=7-3\sqrt3.

That is,

a+b=(7+3\sqrt3)+(7-3\sqrt3)=14.

Thus, the required value of a+b is 14.

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Step-by-step explanation:

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Which number produces a rational number when added to 0.42
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Any Whole or Rational Number, 1 can be used as an Example if you want it Simple

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