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andrew-mc [135]
3 years ago
6

Sumi​ Kato's savings account has a balance of ​$2508. After 24 years what will the amount of interest be at 3.5​% compounded​ an

nually?
A.​$3,218.59
B.​$6,019.20
C.​$3,207.59
D.​$3,224.59
Mathematics
2 answers:
katen-ka-za [31]3 years ago
8 0
2508(1+0.04)^24 = 6,428. trust me, found it to 6,019.20.

b.
Naily [24]3 years ago
8 0

Answer:

Step-by-step explanation:

100+3.5=103.5

103.5÷100=1.035

1.035×2508=$5726.58

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3 years ago
How to solve this :') please help
blsea [12.9K]

Answer:

3/2

Step-by-step explanation:

sin(3π/4 - β) = sin(3π/4)cosβ - cos(3π/4)sinπ =

\sin(\frac{3\pi}{4}-\beta)=\sin(\frac{3\pi}{4})\cos\beta-\cos\frac{3\pi}{4}\sin\beta\\=\frac{1}{\sqrt{2}}\cos\beta-(-\frac{1}{\sqrt{2}})\sin\beta\\\\=\frac{1}{\sqrt{2}}(\cos\beta +\sin\beta)\\\\\sin^2(\frac{3\pi}{4}-\beta)=\frac{1}{2}\cos\beta +\sin\beta)^2=\frac{1}{2}(\cos^2\beta +\sin^2\beta+2\sin\beta\cos\beta\\=\frac{1}{2}(1+\sin2\beta)=\frac{1}{2}(1-\frac{1}{5}) = \frac{2}{5}\\

Use \cot^2x=\csc^2x-1=\frac{1}{\sin^2x}-1

so

\cot^2(\frac{3\pi}{4}-\beta)=\frac{1}{\sin^2(\frac{3\pi}{4}-\beta)}-1 = \frac{1}{\frac{2}{5}}-1=\frac{5}{2}-1=\frac{3}{2}

7 0
2 years ago
1. $200 is deposited into an account that earns 6% simple interest
katen-ka-za [31]

Answer:

$260

Step-by-step explanation:

0.06 x 200 = 12

12 x 5 = 60

200 + 60 = 260

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3 years ago
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Answer:

Step-by-step explanation:

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