Mathematics, 31.01.2022 09:20 shamiya15

Can I pls get some help

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Answer from: devinb18

Principal: $1,905.63

Step-by-step explanation:

Definitions:Simple interest is commonly used for short-term loans. Principal: the total amount borrowed from a lender, or deposited into a savings account. Interest: this is the fee that lenders charge for loaning funds, or the fee that banks pay the depositor (saver) for lending out a portion of the depositor's savings to other loaners. Interest rate: it is the percentage of the principal amount over a given period of time. Simple Interest Formula:

The formula for finding the simple interest is:

A = P (1 + r × t )

Where:

A = amount (future value) = $2,100

P = present value of the principal = unknown

r = annual simple interest rate = 3.4% or 0.034

t = time = 3 years

Solution:

Substitute the given values into the Simple interest formula:

⇒ A = P (1 + r × t )

$2,100 = P (1 + [0.034 × 3] )

$2,100 = P (1 + [0.102] )

$2,100 = P (1 .102)

Divide both sides by 1.102 to isolate "P":

$\displaystyle\mathsf{\frac{\tex\$2,100}{1.102}\:=\:\frac{P(1.102)}{1.102}}$

P = $1,905.63

Therefore, the principal amount of investment required to reach a future value amount of $2,100 at an annual interest rate of 3.4% at the end of 3 years is $1,905.63.

_________________________________

Additional Note:

Alternatively, we can make the Principal (P) as the subject of the Simple Interest Formula:

A = P (1 + r × t )

Divide both sides by (1 + r × t ):

$\displaystyle\mathsf{\frac{A}{1+r\:\times\:t}\:=\:\frac{P(1+r\:\times\:t)}{1+r\:\times\:t}}$

$\displaystyle\mathsf{P\:=\:\frac{A}{1+r\:\times\:t}}$

_____________________________

Keywords:

Simple interest

Principal

Interest rate

Present value

Future value

_________________________________

Learn more about simple interest here:

Answer from: Quest

7. 153.86 ft $^{2}$

8. 12.56 ft $^{2}$

9. 78.5 m $^{2}$

10. 379.94 in $^{2}$

11. 132.665 m $^{2}$

12. 12.56 yd $^{2}$

13. 226.865 ft $^{2}$

14. 113.04 ft $^{2}$

15. 63.585 ft $^{2}$

16. 254.34 m $^{2}$

17. 50.24 cm $^{2}$

step-by-step explanation:

7. $\pi x 7^{2} = \pi * 49 = 153.86 ft^{2}$

8. $\pi * 2^{2} = \pi * 4 = 12.56 ft^{2}$

9. $\pi * 5^{2} = \pi * 25 = 78.5 m^{2}$

10. $\pi * 11^{2} = \pi * 121 = 379.94 in^{2}$

11. $\pi * 6.5^{2} = \pi * 42.25 = 132.665 m^{2}$

12. $\pi * 2^{2} = \pi * 4 = 12.56 yd^{2}$

13. $\pi * 8.5^{2} = \pi * 72.25 = 226.865 ft^{2}$

14. $(\pi /4) * 12^{2} = 0.785 * 144 = 113.04 ft^{2}$

15. $(\pi /4) * 9^{2} = 0.785 * 81 = 63.585 ft^{2}$

16. $(\pi /4) * 18^{2} = 0.785 * 324 = 254.34 m^{2}$

17. $(\pi /4) * 8^{2} = 0.785 * 62 = 50.24 cm^{2}$

Ineed to have answers 6-17 i’m trying to get things done right away so i don’t have to take care of

Answer from: Quest

If jon had $4.00 then takes away $2.25, then he should have $1.75 left. $4.00 - $2.25 = $1.75 hope this ; )

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