$~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\$23000\\ P=\textit{original amount deposited}\\ r=rate\to 3.70\%\to \frac{3.70}{100}\dotfill &0.037\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &4 \end{cases}$

$23000=P\left(1+\frac{0.037}{12}\right)^{12\cdot 4}\implies 23000=P\left( \frac{12037}{12000} \right)^{48}\implies \cfrac{23000}{~~ \left( \frac{12037}{12000} \right)^{48}~~}=P \\\\\\ \cfrac{23000}{~~ \frac{12037^{48}}{12000^{48}}~~}=P\implies \cfrac{23000\cdot 12000^{48}}{12037^{48}}=P\implies 19840.43\approx P$

5 0

2 years ago

A potter is creating a design for a red-colored urn. He starts with the design shown on the coordinate grid.

TEA [102]

Hey, you would have to change your points if you want this done. It’s not worth 5 points.

6 0

3 years ago

Calculate the area and perimeter of 4 cm and 6 cm

garri49 [273]

Answer:

Area: 24 Perimeter: 20

Step-by-step explanation:

Area (multiply side 1 by side 2):

4×6=24

Perimeter (add all of the sides together):

4+4=8

6+6=12

8+12=20

7 0

2 years ago

4. Find the value of k, if x = 2, y=1 is a solution of the equation 2x + 3y=k.

icang [17]

Answer:

k=7

Step-by-step explanation:

first, plug in the given values

2x+3y=k --> 2(2)+3(1)=k

-->4+3=k

-->7=k

k=7

3 0

3 years ago