Answer:
The value of the house after 10 years will be $176,325.
Step-by-step explanation:
The value
of the house appreciates 3.5% each year, which means after 1 year its value will be
,
after 2 years
,
after 3 years
![y =\$ 125,000(1.035)(1.035)(1.035)](https://tex.z-dn.net/?f=y%20%3D%5C%24%20125%2C000%281.035%29%281.035%29%281.035%29)
and so on.
Thus after <em>n</em>th year the value of the house will be
.
Therefore, after 10 years the house will be worth
.
Width of the rectangle is 10.67 ft
<u>Step-by-step explanation:</u>
Step 1:
Let the width of the rectangle be x. Then length = 2x + 12
Given width + length = 44ft ⇒ x + 2x + 12 = 44
⇒ 44 = 3x + 12
⇒ 32 = 3x
⇒ x = 32/3 = 10.67
Width of the rectangle = 10.67 ft
Answer:
The sale price of the item is 96 pounds.
Step-by-step explanation:
If all the items are reduced by 20%, this means now their price is 100% - 20% = 80% of the original price.
Therefore, if an item was originally priced at 120pounds, its price now will of 80% of 120 pounds, i.e.
![\text{Sale price} =\dfrac{80\%}{100\%}*120 \pounds](https://tex.z-dn.net/?f=%5Ctext%7BSale%20price%7D%20%3D%5Cdfrac%7B80%5C%25%7D%7B100%5C%25%7D%2A120%20%5Cpounds)
![\text{Sale price}=0.8*120 \pounds](https://tex.z-dn.net/?f=%5Ctext%7BSale%20price%7D%3D0.8%2A120%20%5Cpounds)
![\boxed{ \text{Sale price} =96 \pounds}](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5Ctext%7BSale%20price%7D%20%20%3D96%20%5Cpounds%7D)
The sale price of the item is 96 pounds.
One mile is 1.60934 kilometers so multiply that by 30 and you’ll get 40.28
<span>x^2-15x+56 = (x -7)(x - 8)
so
</span><span>x^2-15x+56
----------------
x-7
</span>(x -7)(x - 8)
=------------------
x-7
= x - 8
answer
<span>D.) x-8</span>