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2 years ago

14

A quantity with an initial value of 8600 grows exponentially at a rate of 20% every 2 minutes. What is the value of the quantity

after 67 minutes, to the nearest hundredth?

1 answer:

Hatshy [7]2 years ago

3 0

Answer:

23400 x 8/100 = 1872 = the loss

1872 : 12 = 156= the loss each month

156/1872*100% = 8.33 % then round it

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The value of good wine increases with age. Thus, if you are a wine dealer, you have the problem of deciding whether to sell your

Katyanochek1 [597]

Answer: 64 years

Step-by-step explanation:

Let assume the dealer sold the bottle now for $P, then invested that money at 5% interest. The return would be:

R1 = P(1.05)^t,

This means that after t years, the dealer would have the total amount of:

$P×1.05^t.

If the dealer prefer to wait for t years from now to sell the bottle of wine, then he will get the return of:

R2 = $P(1 + 20).

The value of t which will make both returns equal, will be;

R1 = R2.

P×1.05^t = P(1+20)

P will cancel out

1.05^t = 21

Log both sides

Log1.05^t = Log21

tLog1.05 = Log21

t = Log21/Log1.05

t = 64 years

The best time to sell the wine is therefore 64years from now.

7 0

2 years ago

Joey wants to build a rectangular garden. He plans to use a side of a river for one side of the garden, he will not place fencin

jonny [76]

We let x and y be the measures of the sides of the rectangular garden. The perimeter subtracted with the other side should be equal to 92.

<span> 2x + y = 92</span>

The value of y in terms of x is equal to,

<span> y = 92 – 2x</span>

The area is the product of the two sides,

<span> A = xy</span>

Substituting,

<span> A = x (92 – 2x) = 92x – 2x2</span>

Solving for the derivative and equating to zero,

<span> 0 = 92 – 4x ; x = 23</span>

Therefore, the area of the garden is,

<span> A = 23(92 – 2(23)) = 1058 yard<span>2</span></span>

4 0

2 years ago

Read 2 more answers

An entry level web developer's annual pay is $55,640 based on 52 weeks per year. Due to the economy, his company is having to cu

katen-ka-za [31]

Answer:

$Reduction = \$3300$

Step-by-step explanation:

Given

$Pay\ for\ 52\ weeks = \$55,640$

Required

Determine the reduction when paid is reduced to 49 weeks

First, we need to determine the weekly pay

$Weekly\ Pay = \frac{\$55,640}{52}$

$Weekly\ Pay = \$1070$

Next, is to determine the pay for 49 weeks;

$Pay = Weekly\ Pay * 49$

$Pay = \$1070 * 49$

$Pay = \$52430$

Subtract the 49 week pay from 52 weeks pay to get the payment reduction;

$Reduction = \$55640 - \$52340$

$Reduction = \$3300$

5 0

2 years ago

(4 tens 3 ones) x 10

adoni [48]

To solve this problem, we must first convert all of the numbers represented by words into their numeral equivalents so we can simplify. To do this, we must remember that the ones place is the first to the left of the decimal point, and the tens place is one place farther to the left. If we have 4 tens and 3 ones, this is the same as 43 (we put the digit 4 in the tens place and the digit 3 in the ones place). If we replace our words with our new numerical value, we get:

43 * 10

To solve this, we just multiply these two numbers together, which gives us:

430

Therefore, your answer is 430.

Hope this helps!

6 0

2 years ago

A contractor has at most $42 to spend on nails for a project. Finishing nails cost $0.45 per pound and common nails cost $0.60 p

mojhsa [17]

<em><u>Question:</u></em>

A contractor has at most $42 to spend on nails for a project. Finishing nails cost $0.45 per pound and common nails cost $0.60 per pound. He would like to purchase at least 30 pounds of nails total. Write a system of linear inequalities

<em><u>Answer:</u></em>

The system of linear inequalities are:

$x + y\geq 30\\\\0.45x+0.60y\leq 42$

<em><u>Solution:</u></em>

Let "x" be the pounds of finishing nails

Let "y" be the pounds of common nails

Given that,

He would like to purchase at least 30 pounds of nails total.

"at least" means that he can purchase 30 pounds or more than 30 pounds also

So, we have to use "greater than or equal to" symbol

$x + y\geq 30$

From given,

Cost of 1 pound of finishing nail = $ 0.45

Cost of 1 pound of common nail = $ 0.60

A contractor has at most $42 to spend on nails for a project

"at most" means he can spend 42 or less than 42

So we have to use " less than or equal to" symbol

Thus we frame a inequality as:

$x \times 0.45 + y \times 0.60\leq 42\\\\0.45x + 0.60y\leq 42$

Thus the system of inequalities are:

$x + y\geq 30\\\\0.45x+0.60y\leq 42$

4 0

2 years ago