Sarah competes in a long jump competition.

1 answer:

8 0

How to find Sarah’s best jump:
First you multiply 4.25 by 12% (or 0.12) to get 0.51 meters.
4.25 + 0.51 = 4.76 meters. So her best jump is 4.76 meters.
How to find the winning jump:
Since her best jump is 15% less than the winning jump, it must be 85% of the winning jump (as in 85 is 85% of 100).
So you divide 4.76 by 85% (or 0.85) which equals 5.6 meters.
So, the winning jump was 5.6 meters.

If you need help calculating percentages, you can use this website:

https://www.skillsyouneed.com/num/percent-calculators.html

Hope this helps!

You might be interested in

Can I pls get some help

Gala2k [10]

Answer:

Principal: $1,905.63

Step-by-step explanation:

<h2>Definitions:</h2>

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.

<h3>Simple Interest Formula:</h3>

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

<h2>Solution:</h2>

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 ):

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