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2 years ago

Find the area of a circle with a radius of 11 inches

Mathematics

1 answer:

Nimfa-mama [501]2 years ago

3 0

Answer:

A ≈ 380.13in²

Or A= 379.94in²

Step-by-step explanation:

Formula for area:

A = π r²

A=π ·11² ≈ 380.13in²

If π is used as 3.14 then

A=3.14·11² = 379.94

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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

2 years ago

Someone please help

AleksandrR [38]

Replace y with 31:

31 = 7x -4

Add 4 to both sides:

35 = 7x

Divide both sides by 7:

x = 5

Input x = 5

6 0

2 years ago

1.Which expression is equivalent to 3(k x k x k)? Show your work

zhuklara [117]

Answer:

3 k^3

Step-by-step explanation:

3(k x k x k)

k*k*k = k^3

3(k x k x k) = 3 k^3

5 0

3 years ago

Using your calculator, find the proportion of observations from a standard normal distribution that satisfies the following stat

emmainna [20.7K]

<span>Look at your table for a Z value of 1.55. The numbers on the far left column are your z values. See the 1.5 row, then move over to the 0.05 column to make it 1.55.
You'll see 0.9394.
That's the area under the normal curve from 1.55 to negative infinity.
But you wanted the area under the curve greater than 1.55.
Take 1-0.9394=0.0606.
You subtract from 1 because you know that the area under the whole curve is 1, so it gives you the area you need.</span>

3 0

3 years ago

Don't just guess if you don't know. I need the exact answer please

Arada [10]

You should learn how to do this

20.5

6 0

3 years ago

Read 2 more answers