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zimovet [89]
2 years ago
6

Rochelle deposits $5,000 in an IRA. What will be the value of her investment in 25 years if the investment is earning 8% per yea

r and is compounded continuously? Round to the nearest cent.
Mathematics
1 answer:
Iteru [2.4K]2 years ago
5 0

Answer:

\$36,945.28  

Step-by-step explanation:

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=25\ years\\ P=\$5,000\\ r=8\%=8/100=0.08

substitute the values in the formula

A=5,000(e)^{0.08*25}  

A=5,000(e)^{2}  

A=\$36,945.28  

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LESSON 1 SESSION 1
denpristay [2]

Answer:

  • <em>Between which two tens does it fall?</em><em> </em><u>Between 25 and 26 tens</u>

<em><u /></em>

  • <em>Between which two hundreds does it fall?</em> <u>Between 2 and 3 hundreds</u>

Explanation:

The place-value chart is:

Hundreds         Tens      Ones

       2                   5             3

<em><u /></em>

<em><u>a)  Between which two tens does it fall? </u></em>

Using the place values you can write 253 = 25 × 10 + 3, i.e. 25 tens and 3 ones.

From that you can write:

  • 250 < 253 < 260
  • 250 = 25 × 10 = 25 tens
  • 260 = 26 × 10 = 26 tens

Then, you conclude that 253 is between 25 and 26 tens.

<u><em>b) Between which two hundreds does it fall?</em></u>

Using the same reasoning:

  • 253 = 2 × 100 + 5 × 10 + 3 = 253

  • 200 < 253 < 300
  • 200 = 2 hundreds
  • 300 = 3 hundreds

Conclusion: 253 is between 2 hundreds and 3 hundreds.

3 0
2 years ago
5. The measures of angles of hexagon are 4x, 5x, 6x, 7x, 8x and 9x. Calculate the size of the largest angle
Amiraneli [1.4K]

Answer:

166 2/13 deg

Step-by-step explanation:

The sum of the measures of the interior angles of a convex polygon of n sides is 180(n - 2).

A hexagon has 6 sides, so n = 6.

sum of measures of angles = 180(n - 2) = 180(6 - 2) = 180(4) = 720

4x + 5x + 6x + 7x + 8x + 9x = 720

39x = 720

x = 720/39

x = 240/13

The largest angle has measure 9x.

9x = 9 * 240/13 = 2160/13

2160/13 = 166 2/13

Answer: 166 2/13 deg

3 0
2 years ago
Pete’s return from selling his investment is $22,000. He had purchased the investment at a cost of $20,000. What is Pete’s retur
Effectus [21]

Answer:

Option C

10%

Step-by-step explanation:

Given information

Cost of investment=$20000

Selling price=$22000

Profit=Selling price-Cost of investment=22000-20000=2000

Return on investment=profit/cost of investment

RoI=\frac {2000\times 100}{20000}=10%

6 0
2 years ago
Mr. Alvarez makes a walkway out of 3 cement slabs. He uses 14 cubic feet of cement to make the walk way. Each square slab has a
Natalija [7]

Answer:

The middle slab is 2 cubic feet.

Step-by-step explanation:

The problem presents the information: Mr. Alvarez makes a walkway out of 3 cement slabs.

However, he uses 14 Cubic feet of cement to make the walkway. Each square slab has a volume of 4 cubic feet.

Mr. Alvarez makes the way with 3 cement slabs (NC), each cement slab is 4 cubic feet (UC). It means, the cubic feet for the 3 cement slabs (CS) are:

CS = NC* UC = 3*4 = 12 cubic feet.

It means Mr. Alvarez uses 12 cubic feet with 3 cement slabs.

Mr. Alvarez used in total of 14 cubic feet of cement (TC). At this moment he used 12 cubic feet of cement (CS). It means, there will be a part of the cement slab used (PC).

PC = TC - CS = 14 - 12 = 2 Cubic feet.

Finally, the middle slab is 2 cubic feet of cement.

5 0
2 years ago
A model that describes the population of a fishery in which harvesting takes place at a constant rate is given by dP dt = kP − h
Vadim26 [7]
It increases at T because the behavior increased its speed
8 0
2 years ago
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