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Ivahew [28]
3 years ago
6

John is trying to estimate how tall a tree is. the shadow created by the tree is 18 feet long. john is 6 feet tall, and his shad

ow is 3.5 feet long. using a proportion, estimate the height of the tree. round to the nearest
Mathematics
1 answer:
Alecsey [184]3 years ago
3 0
Make a comparison
\frac{height}{shadow}= \frac{height}{shadow}
\frac{heightof tree}{shadow of three}= \frac{heightofJohn}{shadow of John}

Plug the numbers into the equation above
h stands for the height of tree
\frac{heightof tree}{shadow of three}= \frac{heightofJohn}{shadow of John}
\frac{h}{18}= \frac{6}{3.5}

Do cross multiplication
3.5h = 6 × 18
3.5h = 108
h = 108/3.5
h = 30.8571..

to the nearest hundredth
h = 30.86 feet
to the nearest tenth
h = 30.9 feet
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We conclude that the total amount accrued, principal plus interest,  from compound interest on an original principal of  $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.

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Using the compound interest equation

A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}

where:

A represents the Accrue Amount

P represents the Principal Amount

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Important tip:

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now substituting P = 2500, r = 0.05, t = 8 and n = 6 in the equation

A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}

A=2500\left(1+\frac{0.05}{6}\right)^{\left(6\right)\left(8\right)}

\:A=2500\left(1+\frac{0.05}{6}\right)^{48}

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A=\:3723.38 $

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