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3 years ago

Part A

Mathematics

1 answer:

Nitella [24]3 years ago

3 0

Answer:

P = 300

r = 0.15

n = 12

A(t) = 300(1.0125)^12t

Step-by-step explanation:

Given that:

Total credit taken for book purchase = $300

Annual Interest rate = 15% compounded monthly

Time or period = 4 years

P(1 + r/n)^nt

P in the expression above means the principal amount which is the total credit spent on book purchase = $300

r = annual interest rate on Emma's account = 15% = 15/100 = 0.15

n = number of compounding times per period ; loan which compounds monthly = number of months in a year = 12

Hence,

P = $300 ; r = 0.15 ; n = 12

Substituting into the equation :

P(1 + r/n)^nt

Simplified expression written in terms of t:

Final amount, A after t years

A(t) = 300(1 + 0.15/12)^12t

A(t) = 300(1 + 0.0125)^12t

A(t) = 300(1.0125)^12t

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skelet666 [1.2K]

Answer:

option D. 126 cm

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In this problem

Triangles PQR and XYZ are similar by AA Similarity Theorem

$\frac{XY}{PQ}=\frac{YZ}{QR}=\frac{XZ}{PR}$

Let

z ---> the scale factor

$z=\frac{XY}{PQ}$

substitute the given values

$z=\frac{30}{5}=6$

step 2

Find the perimeter of triangle XYZ

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z ----> the scale factor

p_1 ----> the perimeter of triangle XYZ

p_2 ---> the perimeter of triangle PQR

$z=\frac{p_1}{p_2}$

The perimeter of triangle PQR is

$p_2=5+10+6=21\ cm$

we have

$z=6\\p_2=21\ cm$

substitute

$6=\frac{p_1}{21}$

$p_1=6(21)=126\ cm$

therefore

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