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4 years ago

What is a conversion factor that you can use to convert gallons to pints?

Mathematics

1 answer:

IrinaVladis [17]4 years ago

7 0

1 gallon equals 8 pints

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You decide to put $5,000 in a savings account to save for a $6,000 downpayment on a new car. If the account has an interest rate

Nuetrik [128]

Answer:

Approx 2.61 years.

Step-by-step explanation:

Given that you decide to put $5,000 in a savings account to save for a $6,000 down payment on a new car.

That means A=6000 and P=5000

If the account has an interest rate of 7% per year and is compounded monthly,

Then r=7%= 0.07 and n=12 (monthly)

Now we need to find about how long does it take until you have $6,000 without depositing any additional funds.

So let's plug these values into compound interest formula and fine time t

$A=P\left(1+\frac{r}{n}\right)^{\left(nt\right)}$

$6000=5000\left(1+\frac{0.07}{12}\right)^{\left(12t\right)}$

$\frac{6000}{5000}=\left(1+0.00583333333333\right)^{\left(12t\right)}$

$1.2=\left(1.00583333333333\right)^{\left(12t\right)}$

$\ln\left(1.2\right)=12t\ ln[tex]\frac{\ln\left(1.2\right)}{12\ln\left(1.00583333333333\right)}=t$

\left(1.00583333333333\right)[/tex]

$2.61218303577=t$

Hence answer is approx 2.61 years.

5 0

3 years ago

Read 2 more answers

How would I explain the slope and y-intercept of the equation y=8x+10???? need help soon please and thanks.

Dimas [21]

Step-by-step explanation:

with the formula y= mx+c the slope is m and the y intercept is c so the slope of this equation is 8 and the y intercept is 10

6 0

3 years ago

The parent function f(x) = x^2 is vertically stretched by a scale factor of 2, translated 14 units right, and 6 units up. Which

Elena-2011 [213]

Answer:

$(1)\; G(x)=2(x-14)^2+6$

Step-by-step explanation:

Assuming, right and up are positive directions.

The given parent function, $f(x)=x^2$

Let $f_1(x)$ be the function when the parent function is stretched by a scale factor of 2.

So, $f_1(x)=2f(x)$

$\Rightarrow f_1(x)=2x^2$

Let $f_2(x)$ be the function when $f_1(x)$ is translated $14$ units right.

So, $f_2(x)=f_1(x-14)$

$\Rightarrow f_2(x)=2(x-14)^2$

Again, let $f_3(x)$ be the function when $f_2(x)$ is translated 4 units up.

So, $f_3(x)=f_2(x)+6$

$\Rightarrow f_3(x)=2(x-14)^2+6$

So, the resulting function, $f_3(x)=G(x)=2(x-14)^2+6$ .

Hence, option (1) is correct.

4 0

3 years ago

Which is the simplified form of

Tatiana [17]

Answer:

The simplified form of n to the -6th power times p to the 3rd power is p^3/n^6.

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Kalan para

Marianna [84]

Answer:

I do not understand the question

7 0

3 years ago