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2 years ago

The box plot below shows the number of years that 44 schools have participated in an interschool swimming meet:

Mathematics

2 answers:

s2008m [1.1K]2 years ago

7 0

Answer:

Step-by-step explanation:

yan [13]2 years ago

5 0

Answer:

Step-by-step explanation:

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What is the balance after 15 years in a savings account that earns 2% interest compounded bimonthly when the initial deposit is

Ierofanga [76]

Answer:

$1348.07

Step-by-step explanation:

Hello!

<h3>Compound Interest Formula: $A = P(1 + \frac rn)^{nt}$ </h3>

A = Account Balance
P = Principle/Initial Amount
r = Rate of Interest (decimal)
n = Number of times compounded (per year)
t = Number of Years

<h3>Given Information</h3>

Account Balance = ?
Principle Amount = $1000
Rate of Interest = 0.02

Why is the Rate 0.02?

This is because we are gaining money, so the multiplier should be greater than 1. We already added 1, which is 100% so you simply add the 0.02 for the extra 2%.

Number of times compounded per year = 6

This is because it is being compounded bi-monthly, or once every 2 months. 12 months divided by 2 months is 6 months, so 6 times a year.

Number of years = 15

<h2>Solve </h2>

Solve by plugging in the given values into the formula.

$A = P(1 + \frac rn)^{nt}$
$A = 1000(1 + \frac {0.02}{6})^{6*15}$
$A = 1000(1 + 0.00333...)^{90}$
$A = 1000(1.00333...)^{90}$
$A = 1000(1.145743)$
$A \approx 1457.43$

This is really close to the first option, and since there is rounding involved with the repeating decimal, the first option should be correct.

The answer is $1348.07.

3 0

1 year ago

A bakery sells 5 apple muffins for every 2 bran muffins.

Hunter-Best [27]

Answer:

$Apple\ muffin\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Bran\ muffin\\10\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 4\\15\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 6\\20\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 8\\35\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 14$

Step-by-step explanation:

$For\ 5\ apple\ muffins, bran\ muffin=2\\\\Ratio\ of\ bran\ muffin\ to\ apple\ muffin=\frac{number\ of\ bran\ muffin}{number\ of\ apple\ muffin}\\\\Ratio\ of\ bran\ muffin\ to\ apple\ muffin=\frac{2}{5}\\\\Bran\ muffin=\frac{2}{5}\times apple\ muffin\\\\When\ apple\ muffin=10\\\\Bran\ muffin=\frac{2}{5}\times 10=4\\\\When\ apple\ muffin=15\\\\Bran\ muffin=\frac{2}{5}\times 15=6\\\\When\ apple\ muffin=20\\\\Bran\ muffin=\frac{2}{5}\times 20=8$

$When\ apple\ muffin=35\\\\Bran\ muffin=\frac{2}{5}\times 35=14$

6 0

3 years ago

2cos<img src="https://tex.z-dn.net/?f=2cos%5E%7B2%7D%20x-3cosx%2B1%3D0" id="TexFormula1" title="2cos^{2} x-3cosx+1=0" alt="2cos^

sattari [20]

Answer:

Step-by-step explanation:

7 0

2 years ago

Can someone explain to me what rate of change is and how you figure it out.

Cloud [144]

ROC is often used when speaking about momentum, and it can generally be expressed as a ratio between a change in one variable relative to a corresponding change in another; graphically, the rate of change is represented by the slope of a line.

5 0

3 years ago

Which of the following could be a rational number?

Flura [38]

Answer:

the sum of two irrational numbers

Step-by-step explanation:

5 0

3 years ago