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2 years ago

If a18-a12=24.Find d.with steps.....

Mathematics

1 answer:

kolbaska11 [484]2 years ago

5 0

Answer:

let common difference be d.

a 18=a+17 d

a 14=a+13 d

a+17d - (a+13d) =32

a+17d - a - 13d =32

17d - 13d = 32

4d = 32

d=32/4

d=8

common difference=8

Step-by-step explanation:

(Brainliest if im correct?)

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2 years ago

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Step 1

Given;

$\begin{gathered} \text{Principal(p)= \$375000} \\ \text{First rate = 8\%=}\frac{8}{100}=0.08 \\ \text{Second rate = 20\%= }\frac{20}{100}=0.2 \\ \text{Time}=\frac{90}{365}=\frac{18}{73} \end{gathered}$

Required; To find the difference in interest between the two periods.

Step 2

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Step 3

Find the interest when the rate is 8%

$\begin{gathered} A=375000(1+(0.08\times\frac{18}{73}) \\ A=375000(1+\frac{36}{1825}) \\ A=\text{\$}382397.26 \end{gathered}$

Therefore the interest is given as;

$A-P=382397.26-375000=\text{\$}7397.26$

Step 4

Find the interest in 1980 with a 20% rate

$\begin{gathered} A=375000(1+(0.2\times\frac{18}{73}) \\ A=\text{\$}393493.15 \end{gathered}$

The interest is given as;

$A-p=393493.15-375000=\text{\$}18493.15\text{ }$

Step 5

Find the difference in interest between the two rates.

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Hence, the difference in interest between the two rates = $11095.89

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1 year ago

If a18-a12=24.Find d.with steps.....​

If a18-a12=24.Find d.with steps.....