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3 years ago

How many times does 12 go into 150?

Mathematics

2 answers:

mina [271]3 years ago

4 0

12 times and there’s a half leftover

defon3 years ago

3 0

Answer:

The quotient (integer division) of 150/12 equals 12; the remainder (“left over”) is 6.

Step-by-step explanation:

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Using this formula, what is the acceleration of an object with F = 7.92 newtons and m = 3.6 kilograms? Express your answer to th

g100num [7]

We have to use the following formula which is

$F = m * a$

Given values of F and m are 7.92 Newtons and 3.6 kilograms .

Substituting these values in the formula, we will get

$7.92 = 3.6 a$

To solve for a, we have to divide both sides by 3.6 that is

$a = \frac{7.92}{3.6}=2.2$

And that's the required answer .

8 0

3 years ago

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Natalie has $5000 and decides to put her money in the bank in an account that has a 10% interest rate that is compounded continu

kakasveta [241]

Step-by-step explanation:

Natalie has $5000

She decides to put her money in the bank in an account that has a 10% interest rate that is compounded continuously.

Part a) What type of exponential model is Natalie’s situation?

Answer:

As Natalie's situation implies

continuous compounding. So, instead of computing interest on a finite number of time periods, for instance monthly or yearly, continuous compounding computes interest assuming constant compounding over an infinite number of periods.

So, it requires the more generalized version of the principal calculation formula such as:

$P\left(t\right)=P_0\times \left[1+\left(i\:/\:n\right)\right]^{\left(n\:\times \:\:t\right)}$

$P\left(t\right)=P_0\times \left[1+\left(\frac{i}{n}\:\right)\right]^{\left(n\:\times \:\:t\right)}$

Here,

$i$ = interest rate

= number of compounding periods

$t$ = time period in years

Part b) Write the model equation for Natalie’s situation?

For continuous compounding the number of compounding periods, $n$ , becomes infinitely large.

Therefore, the formula as we discussed above would become:

$P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}$

Part c) How much money will Natalie have after 2 years?

Using the formula

$P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}$

$₂ $=\:6107.02$ $

So, Natalie will have $\:6107.02$ $ after 2 years.

Part d) How much money will Natalie have after 2 years?

Using the formula

$P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}$

$₁₀ $=13.597.50$ $

So, Natalie will have $13.597.50$ $ after 10 years.

Keywords: word problem, interest

Learn more about compound interest from brainly.com/question/6869962

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3 years ago

Identify an example of metaphor: explain which two things are being compared.

Vilka [71]

An example of a metaphor are “raining cats and dogs” or “throw the baby out with the bath water “

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3 years ago

<img src="https://tex.z-dn.net/?f=%20%7B10%7D%5E%7B2%7D%20%20%2B%207x%20%2B%201" id="TexFormula1" title=" {10}^{2} + 7x + 1" al

irina1246 [14]

Answer:

factors of 7: 1, 7

factors of 10: 2, 5

1*-2 = -2

7*-5 = -35

...

-35 + -2 = -37

Step-by-step explanation:

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3 years ago

Please answer fast 1. Each week, Bart earns a base rate of $85 and a commission on each dollar of merchandise he sells. If Bart

igor_vitrenko [27]

1. It depends on the form of "c". If we realize that a commission percentage of 10% is identical in value to 0.10, then we can compute the commission as 3600c. If the commission percentage of 7% is given as c=7, then we need to compute the commission as 3600·(c/100) = 36c. We will assume the former.

... (Bart's earnings) = 85 + 3600c

2. The cost of a rental is the base fee plus the mileage charge multiplied by the number of miles:

... (cost of renting) = 60.00 + 0.25m

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3 years ago

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