$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$1500\\ r=rate\to 2.5\%\to \frac{2.5}{100}\dotfill &0.025\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semiannual, thus twice} \end{array}\dotfill &2\\ t=years\dotfill &6 \end{cases} \\\\\\ A=1500\left(1+\frac{0.025}{2}\right)^{2\cdot 6}\implies A=1500(1.0125)^{12}\implies A\approx 1741.13$

6 0

2 years ago

Round your answer to the nearest hundredth.

vlada-n [284]

Answer:

$in \: right \: angle \: triangl \: a \: b \: c \\ tan35 = \frac{bc}{ac } = \frac{bc}{2} \\ bc = 2 \times 0.7002 \\ bc = 1.4004$

6 0

2 years ago

Tim has a $5000 bond with a 4.6% coupon Tim purchased this bond for $5195 what is the yield of the new bond?

NikAS [45]

Answer:

yield of this new bond is 4.42%

Step-by-step explanation:

given data

bond = $5000

coupon rate = 4.6%

purchased bond = $5195

to find out

yield of this new bond

solution

We get here first amount paid to the bond holder

amount paid = 4.6% × $5000

amount paid = $230

and

so Tim earned $230 on a bond that cost her $5195

so yield of this new bond = $\frac{230}{5195} \times 100$

yield of this new bond = 4.42 %

6 0

2 years ago