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Anna11 [10]
4 years ago
12

It is predicted that garden gnome value will go up by 2% each year, forming a geometric progression. Jean-Claude has a garden gn

ome currently valued at £80,000. If the rate of inflation is correct:
a) What will Jean-Claude's gnome be worth after 1 year?


b) What is the common ratio of the geometric progression?


c) What will Jean-Claude's gnome be worth after 10 years?


d) It will take k years for the value of Jean-Claude's gnome to exceed £120,000. Find k.
Mathematics
1 answer:
yawa3891 [41]4 years ago
8 0

Answer:

Step-by-step explanation:

a ) The worth of Jean-Claude's gnome after 1 year

= 80000 x 1.02

=  £81600

b ) common ratio of geometric progression

= 81600 / 80000

= 1.02

c )  worth after 10 years

= 80000 x 1.02¹⁰

= 80000 x 1.21899

= £97519.55

d )

120000 = 80000 x 1.02^k

1.5 = 1.02^k

ln1.5 = k ln 1.02

k = ln 1.5 / ln 1.02

= .4054 / .0198

= 20.47 years .

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Step-by-step explanation:

Given that Rita is making a beaded bracelet. She has a collection of 160 blue beads, 80 gray beads, and 240 pink beads. We are to calculate the probability that Rita will need to pick atleast 5 beads before she picks a grey bead from her collection.

Prob for drawing atleast 5 beads before she picks a grey bead from her collection

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(Because these two are complementary events)

no of grey beeds drawn in first 5 trials is

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Prob for drawing atleast one grey beed in the first 5 draws.

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Answer:

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Step-by-step explanation:

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a₁₆ = a₁ + (n-1)•d = 10 + (16-1)•(-4) = 10 - 60 = -50

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7 0
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Having trouble with this one can someone teach me how to find the slope in this question. Try to help me learn it aswell. Its in
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Hi there! The answer is -2.

We can find the slope of a formula by using the following formula:

slope = \frac{change \: of \: y}{change \: of \: x} =\frac{y2 - y1}{x2 - x1}
x2 and y2 don't mean squared, but the x and y coordinate of our second point.

First we need to find two points on the line. Ijn this particular case we have (-3, 3) and (1, -5). Now we can fill in the formula.

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