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Norma-Jean [14]
3 years ago
10

What simple interest rate would allow $6000 to grow to an amount of $14550 in 10 years?

Mathematics
1 answer:
Harman [31]3 years ago
8 0

Answer:

\boxed{ \bold{ \huge{  \boxed{ \sf{ \: 14.25 \: \% \: }}}}}

Step-by-step explanation:

Given,

Principal ( P ) = $ 6000

Amount ( A ) = $ 14550

Time ( T ) = 10 years

Rate ( R ) = ?

<u>Finding </u><u>the </u><u>Interest</u>

The sum of principal and interest is called an amount.

From the definition,

\boxed{ \sf{Amount =  \: Principal + Interest}}

plug the values

⇒\sf{14550 = 6000 + Interest}

Swap the sides of the equation

⇒\sf{6000 + Interest = 14550}

Move 6000 to right hand side and change its sign

⇒\sf{Interest = 14550 - 6000}

Subtract 6000 from 14550

⇒\sf{Interest = \: 8550 \: }

Interest = $ 8550

<u>Finding </u><u>the </u><u>rate </u>

{ \boxed{ \sf{Rate =  \frac{Interest \times 100}{Principal \times Time}}}}

plug the values

⇒\sf{ Rate = \frac{8550  \times 100}{6000 \times 10} }

Calculate

⇒\sf{Rate =  \frac{855000}{60000} }

⇒\sf{Rate = 14.25 \: \% \: }

Hope I helped!

Best regards!!

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Need help WILL MARK BRAINLEST​
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If the sum of $1! + 2! + 3! + \cdots + 49! + 50!$ is divided by $15$, what is the remainder?
kompoz [17]

Answer:

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Step-by-step explanation:

All factorials 5 and above are evenly divisible by 15, so have no remainder. Thus, you are interested in ...

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3 years ago
Brian invests £1800 into his bank account.
SVEN [57.7K]

Step-by-step explanation:

\underline{ \underline{ \text{Given}}} :

  • Principal ( P ) = £ 1800
  • Rate ( R ) = 5%
  • Time ( T ) = 3 years

\underline{ \underline{ \text{To \: find}}} :

  • Total amount

\underline{ \underline{ \text{Solution}}}:

First , finding the amount of interest :

\boxed{ \sf{Interest =  \frac{PTR}{100}}}

⇢ \sf{Interest =  \frac{1800 \times 5 \times 3}{100}}

⇢ \sf{Interest =  \frac{27000}{100}}

⇢ \sf{Interest = £ 270}

Now , Finding the total amount :

\boxed {\sf{Total \: amount = Principal + Interest}}

⇢ \sf{Total \: amount = 1800 + 270}

⇢ \sf{Total \: amount   =  \: £ 2070}

\red{\boxed{ \boxed{ \tt{Our \: final \: answer : brian \: will \: have £ 2070 \: after \: 3 \: year.}}}}

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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Then 50 - 9 =  41 are the possibilities that the product of the two numbers is less than 30.

The probalility, then, is 41/50 = 0.82
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