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3 years ago

Find the amount in a account where $200 is invested at 3.5% compounded quarterly for a period of 3 years.

Mathematics

1 answer:

AveGali [126]3 years ago

6 0

Answer:

$222.04

Step-by-step explanation:

Use the compound amount formula A = P(1 + r/n)^(nt), where n is the number of times interest is compounded per year, t is the number of years and r is the interest rate as a decimal fraction.

Here, A = ($200)(1 + 0.035/4)^(4*3), or

= ($200)(1.00875)^(12) = $200(1.11) = $222.04

The compound amout after 4 years (12 compounds) will be $222.04.

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Water boils at 100LaTeX: ^\circ∘ Celsius or 212LaTeX: ^\circ∘ Fahrenheit. Water freezes at 0LaTeX: ^\circ∘ Celsius or 32LaTeX: ^

Lubov Fominskaja [6]

Answer:

$F = 1.8C +32$

$F = 86^{\circ}F$

Step-by-step explanation:

Represent Celsius with C and Fahrenheit with F.

So, we have:

$(C_1,F_1) = (100,212)$

$(C_2,F_2) = (0,32)$

Solving (a): Represent as a linear equation

First, we calculate the slope:

$m = \frac{F_2 - F_1}{C_2 - C_1}$

This gives:

$m = \frac{32 - 212}{0 - 100}$

$m = \frac{-180}{- 100}$

$m = 1.8$

The linear equation is then calculated using:

$F - F_1 = m(C -C_1)$

Where

$(C_1,F_1) = (100,212)$

$m = 1.8$

$F - 212 = 1.8(C -100)$

$F - 212 = 1.8C -180$

Make F the subject

$F = 1.8C -180+212$

$F = 1.8C +32$

Solving (b): The value of F when C = 30

Substitute 30 for C in $F = 1.8C +32$

$F = 1.8 * 30 + 32$

$F = 54 + 32$

$F = 86$

8 0

2 years ago

Read 2 more answers

Say that every single class in Full Sails Masters Degree in Game Design has a 5% failure rate

natka813 [3]

The monthly failure rate is q = 5% = 0.05
The monthly pass rate is p = 1 - q = 0.95

We want to determine the probability of 12 passes in 12 consecutive months for a student.
P(12 of 12 successes) = ₁₂C₁₂ p¹² q⁰ = 0.95¹² = 0.5404.

Therefore if we have 100 students, the number that gets through 12 consecutive months is
100*005404 = 54 students.

Answer: 54 students are left after 12 months.

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