Madame Pickney has a rather extensive art collection and the overall value of her collection has been increasing each year. Three years ago, her collection was worth $500,000. Two years ago, the value of the collection was $550,000 and last year, the collection was valued at $605,000.Assume that the rate at which Madame Pickney’s art collection’s value increase remains the same as it has been for the last three years. The value of the art collection can be represented by a geometric sequence. The value of the collection three years ago is considered the first term in the sequence.
Write an explicit rule which can be used to determine the value of her art collection n years after that. Use this to determine the value of her collection 10 years after she started tracking its worth rounded to the nearest dollar.
Answers
Answer:
Value = 500000 × (1.1^n)
$1,296,871
Step-by-step explanation:
a = 500000
r = 550000 ÷ 500000 = 1.1
1st term is the initial year:
n years after that is the "n+1"th term
Value = 500000 × (1.1^n)
n = 10
500000(1.1¹⁰)
1,296,871.23005
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Answers
-> A x 75/100 = 200
-> (A x 75)/100 = 200
-> A x 75 = 200 x 100
-> A x 75 = 20,000
->A = 20,000/75
-> A = 266.6666...
So that the number that 75% of it is 200 : 266.6667
Answers
So the answer is 63.1
Answers
Answer:
2520 stones which will cost £6300
Step-by-step explanation:
First find area of path:
630 x 120 = 75600 cm²
then find how many stones will be needed:
75600/30 = 2520
then find out the total cost:
2520 x 2.5 = £6300
Hope this helps!
Answer:
£125
Step-by-step explanation:
First, find perimeter.
630 + 630 + 120 + 120 = 1500
Divide by stone width.
1500 / 30 = 50
Multiply by the cost.
50 x 2.5 = 125
Answers
Answer:
undefined
Step-by-step explanation:
The slope of a line given two points is given by
m = (y2-y1)/(x2-x1)
= (9-6)/(5-5)
= 3/0
This slope is undefined
Answer: no slope
Step-by-step explanation: To solve this problem, we would usually use our slope formula but there is a faster way to solve this problem.
Notice that each ordered pair has the same x-coordinate which is 5.
Whenever you have the same x-coordinates, the line will have no slope.
That's because you must subtract the second y minus the first y over the second x minus the first x and you will end up with a denominator of 0 and you can't divide by 0.
Since any number divided by 0 is undefined, this line would be too.
If a line has no slope, it means that we cannot describe its slope using a number because the line is vertical and its slope is undefined.
Answers
.40
so yes
Answers
PERCENT means parts out of 100 so
25%=25/100=5/20=1/4
1/4 of 84
'of' means multiply
1/4 tmes 84=84/4=42/2=21/1=21
84-21=63
cuts the remianing into 6
63/6=10 and 3/6=10 and 1/2
each peace is 10 and 1/2 cm long