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3 years ago

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Frank purchased an air cooler for $3,000 in the year 2000. Its value depreciates by 8% each year. What is the value of the air c

ooler in 2003?

1 answer:

Olenka [21]3 years ago

4 0

Answer:

<h2>y=3000 (0.92)^3=2336.064=$2336.06</h2>

Step-by-step explanation:

<h2>Mark me brainliest please</h2>

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James just bought juice for his class party. The label says there are 925 milliliters of juice in each container.

Bad White [126]

<span>I believe that this would be an equation for this...y = 925 / z

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4 years ago

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Han and Priya were making a kite. Han cut out a piece of fabric so

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A kite is a <em>quadrilateral</em> which has <u>two</u> equal adjacent sides. Therefore <em>measuring</em> the lengths a<u>ccurately</u> would make the pieces of wood <em>perpendicular</em>. Since the diagonals of a kite are at <em>right angle</em> to each other.

<u>Quadrilaterals</u> are shapes which has four straight sides. Examples are; square, trapezium, kite, rectangle etc.

A <u>kite</u> is a shape which has <em>adjacent</em> sides to have equal lengths. It has two diagonals, and one <em>line of symmetry</em>.

The <em>lengths </em>of the sides of the <u>fabric</u> being exact imply that the pieces of wood would be perpendicular as suggested by Priya when fixed appropriately to the piece of fabric. This is because the diagonals of a <em>kite</em> are always <u>perpendicular</u>. Thus measuring the angles as suggested by Han is <u>not</u> necessary.

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2 years ago

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Determine the time necessary for P dollars to double when it is invested at interest rate r compounded annually, monthly, daily,

Rudik [331]

Answer:

Part 1) 8.17 years

Part 2) 4.98 years

Part 3) 4.95 years

Part 4) 4.95 years

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

Part 1) Determine the time necessary for P dollars to double when it is invested at interest rate r=14% compounded annually

in this problem we have

$t=?\ years\\ P=\$p\\A=\$2p\\r=14\%=14/100=0.14\\n=1$

substitute in the formula above

$2p=p(1+\frac{0.14}{1})^{t}$

$2=(1.14)^{t}$

Apply log both sides

$log(2)=log[(1.14)^{t}]$

$log(2)=(t)log(1.14)$

$t=log(2)/log(1.14)$

$t=8.17\ years$

Part 2) Determine the time necessary for P dollars to double when it is invested at interest rate r=14% compounded monthly

in this problem we have

$t=?\ years\\ P=\$p\\A=\$2p\\r=14\%=14/100=0.14\\n=12$

substitute in the formula above

$2p=p(1+\frac{0.14}{12})^{12t}$

$2=(\frac{12.14}{12})^{12t}$

Apply log both sides

$log(2)=log[(\frac{12.14}{12})^{12t}]$

$log(2)=(12t)log(\frac{12.14}{12})$

$t=log(2)/12log(\frac{12.14}{12})$

$t=4.98\ years$

Part 3) Determine the time necessary for P dollars to double when it is invested at interest rate r=14% compounded daily

in this problem we have

$t=?\ years\\ P=\$p\\A=\$2p\\r=14\%=14/100=0.14\\n=365$

substitute in the formula above

$2p=p(1+\frac{0.14}{365})^{365t}$

$2=(\frac{365.14}{365})^{365t}$

Apply log both sides

$log(2)=log[(\frac{365.14}{365})^{365t}]$

$log(2)=(365t)log(\frac{365.14}{365})$

$t=log(2)/365log(\frac{365.14}{365})$

$t=4.95\ years$

Part 4) Determine the time necessary for P dollars to double when it is invested at interest rate r=14% continuously

we know that

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

e is the mathematical constant number

we have

$t=?\ years\\ P=\$p\\A=\$2p\\r=14\%=14/100=0.14$

substitute in the formula above

$2p=p(e)^{0.14t}$

Simplify

$2=(e)^{0.14t}$

Apply ln both sides

$ln(2)=ln[(e)^{0.14t}]$

$ln(2)=(0.14t)ln(e)$

Remember that ln(e)=1

$ln(2)=(0.14t)$

$t=ln(2)/(0.14)$

$t=4.95\ years$

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3 years ago

Mark was thinking of a number. Mark subtracts 6.2 from the number and gets an answer of 68. Form an equation with

oksano4ka [1.4K]

Answer:

X= 6.2 + 68 ???

Step-by-step explanation:

I'm not sure that's what I would write in an exam

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3 years ago

Someone plz help me plz

Dima020 [189]

Answer:

i woyld say 1/3 and 2/5

Step-by-step explanation:

they aer bigger parts then the other

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3 years ago

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