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siniylev [52]
3 years ago
10

If tanisha has $100 to invest at 8% annum compounded monthly, how long will it be before she has $150?

Mathematics
1 answer:
marissa [1.9K]3 years ago
4 0

An exponential behavior can be observed.

Let x be the number of years she has to wait.

100((1+0.08/12)^12x) = 150

Now solve for x.

log base 1.08/12 of 1.5 = 61.02 approx

12x=61.02

x=5.09 years

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3 years ago
The circumference of a circle is 23π m. What is the area, in square meters? Express your answer in terms of \piπ
LenaWriter [7]

Answer:

Area of the circle =   \frac{529}{4}  π  m²    or      132.25 π  m²

Step-by-step explanation:

To find the area, we will follow the steps below.

First write down the formular for the circumference of a circle, then use the formula to find the radius of the circle after which you can now find the area of the circle.

That is;

C = 2πr

where c is the circumference of the circle and   r is the radius of the circle

From the question given, circumference C = 23π

23π = 2π r

Divide both-side of the equation by 2π

23π/2π  =  2πr/2π

23/2   =  r

radius =   \frac{23}{2}  m

Formula for calculating the area of a circle is given by;

A = πr²

where A= area of the circle   and   r is the radius of the circle

A = π ( \frac{23}{2} )²

A = \frac{529}{4}  π  m²    or      132.25 π  m²

Area of the circle =   \frac{529}{4}  π  m²    or      132.25 π  m²

6 0
3 years ago
Tad has 14 times as many model cars as Johnny. Johnny has 6 model cars. Create a multiplication equation that represents the sit
zubka84 [21]
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3 years ago
How do you do 83 divided by 3 with long division
bulgar [2K]

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Step-by-step explanation:

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Answer:

7cm

Step-by-step explanation:

40-26=14

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