Lyndsay has 3 3/4 gallons of paint.She plans on using 1 1/4 gallons on each room.How many rooms will she be able to paint?

Tia is investing $2500 that she would like to grow to $6000 in 10 years. At what annual interest rate, compounded quarterly, mus

Ghella [55]

$\bf \qquad \textit{Compound Interest Earned Amount}\\
A=P\left(1+\frac{r}{n}\right)^{nt}

\\ \quad \\

\begin{cases}
A=\textit{current amount}\to &6,000\\
P=\textit{original amount deposited}\to &\$2,500\\
r=rate\to r\%\to \frac{r}{100}\to &0.0r\\
n=\textit{times it compounds per year, quarterly}\to &4\\
t=years\to &10
\end{cases}
\\ \quad \\
meaning
\\ \quad \\

6,000=2,500\left(1+\frac{r}{4}\right)^{4\cdot 10}$

solve for "r"

notice, the "r" value, goes in the equation as a decimal, so 5% is really 5/100 or 0.05 25% is 0.25 and so on

so... the "r" that you'll get, will be a decimal value, multiply that by 100, and you'll get the percentage notation of it

$\bf 6,000=2,500\left(1+\frac{r}{4}\right)^{4\cdot 10}\implies\cfrac{6000}{2500}=\left(1+\frac{r}{4}\right)^{40}
\\ \quad \\
\cfrac{12}{5}=\left(1+\frac{r}{4}\right)^{40}\impliedby \textit{now, taking root }\sqrt[40]{\qquad }
\\ \quad \\
\sqrt[40]{\cfrac{12}{5}}=\sqrt[40]{\left(1+\frac{r}{4}\right)^{40}}\implies \sqrt[40]{\cfrac{12}{5}}=1+\cfrac{r}{4}
\\ \quad \\
\sqrt[40]{\cfrac{12}{5}}-1=\cfrac{r}{4}\implies 4\left( \sqrt[40]{\cfrac{12}{5}}-1 \right)=r \\ \quad \\
$
$\bf 0.0885119586095070592=r\implies 0.0885\cdot 100\implies 8.85\%=r$

5 0

2 years ago

For her presentation on the Wonders of the World, Mary baked a square pyramid-shaped cake as pictured below. The slant height of

miskamm [114]

Answer:

volume = 195.52 in³

Step-by-step explanation:

given data

slant height of the cake = 10 inches

base length = 8 inches

solution

we know that volume pyramid is express as

volume = $\frac{A^2\times h}{3}$ ..............1

here

we use pythagoras for height

hypotenuse² = side1² + side2²

put here value with other side is half of a square side

10² = h² + 4²

solve it we get

h = 9.165 in

so put here value in equation 1 we get

volume = $\frac{8^2\times 9.165}{3}$

volume = 195.52 in³

6 0

2 years ago

19 ft<br> -Itt<br> Find the surface area of the cylinder.

Valentin [98]

Answer: how

Step-by-step explanation:

8 0

2 years ago

3. I am collecting baseball cards. My goal before I turn 18 is to have 500 cards. When I tumed 10,

vladimir2022 [97]

Based on the scenario given, the equation to describe the situation will be: c + 125 + 89 = 500 and 286 cards need to be collected.

Number of cards given by grandfather = 125 cards

Number of cards that will be given by father = 89 cards

Therefore, based on the information given, the equation to describe the situation will be:

c + 125 + 89 = 500

Therefore, we can then use the equation to calculate the number of cards that need to be collected. This will be:

c + 125 + 89 = 500

c + 214 = 500

c = 500 - 214

c = 286

Therefore, the person needs to collect 286 cards.

Read related link on:

brainly.com/question/24910157

7 0

2 years ago

All my question are about math and this test determines my high school classes help if you can please

Mashcka [7]

Answer:

y = x+2

Step-by-step explanation:

When x = 0, y =2

So, y = 0 + m

2 = 0 + m

2 = m

When x = 1, y =3

y = x + m

3 = x + 2

-2 -2

1 = x

3 0

2 years ago