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3 years ago

15

How much would $250 invested at 10% interest compounded continuously be worth after 8 years? Round your answer to the nearest ce

nt. Do not include units in your answer.

1 answer:

Step2247 [10]3 years ago

7 0

For continuous compounding:

A=Pe^(rt) A=final amount, P=principle, r=annual rate, t=time years

A=250e^(0.1*8)

A=556.39

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allsm [11]

Answer: It costs $5.52 to Sam to buy 12 stamps.

Step-by-step explanation:

Given: Sam paid $8.28 for 18 stamps.

Thus, the cost of 18 stamps = $8.28

Then the cost of 1 stamp= $\frac{8.28}{18}$

Thus, the cost of 1 stamp=$0.46

With the same rate , the cost of 12 stamps= $0.46\times12$

Therefore, the cost of 12 stamps= $5.52

hence, it costs $5.52 to Sam to buy 12 stamps.

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3 years ago

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Convert 1 cal/(m^2 * sec * °C) into BTU/(ft^2 * hr * °F)

Crazy boy [7]

Answer:

$1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}=0.03926\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$

Step-by-step explanation:

To find : Convert $1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}$ into $\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$

Solution :

We convert units one by one,

$1\text{ m}^2=10.7639\text{ ft}^2$

$1\text{ sec}=\frac{1}{3600}\text{ hour}$

$1\text{ cal}=0.003968\text{ BTU}$

Converting temperature unit,

$^\circ C\times \frac{9}{5}+32=^\circ F$

$1^\circ C\times \frac{9}{5}+32=33.8^\circ F$

So, $1^\circ C=33.8^\circ F$

Substitute all the values in the unit conversion,

$1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}=\frac{0.003968}{10.7639\times \frac{1}{3600}\times 33.8}\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$

$1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}=\frac{0.003968}{0.101061}\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$

$1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}=0.03926\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$

Therefore, The conversion of unit is $1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}=0.03926\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$

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3 years ago

Toni is 30 inches less than twice Jordan's height. Toni is 66 inches tall. How tall is Jordan?

Ahat [919]

Answer:

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Step-by-step explanation:

66 + 30 = 96

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2 years ago

Simplify the expression:<br> 10s+–2s

likoan [24]

Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

<u>Algebra I</u>

Terms

Step-by-step explanation:

<u>Step 1: Define</u>

10s + -2s

<u>Step 2: Simplify</u>

Rewrite: 10s - 2s
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Answer:

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Step-by-step explanation:

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