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tankabanditka [31]
3 years ago
10

4-58. Lisa plans to retire on her 61st birthday. On her

Mathematics
1 answer:
mojhsa [17]3 years ago
4 0

Answer:

Lisa invest "$2180.81" in her bank.

Step-by-step explanation:

The given values are:

On Lisa's 62nd birthday,

she withdraw = $10,000

The annuity of $A will remain at 3 percent for 40 years. The retirement pension of $10000 lasts 23 years at rate percentage of 3 but begins 40 years later.

⇒  A\times (\frac{P}{A} ,3 \ percent,40) - 10000 (\frac{P}{A} ,3 \ percent,23)\times \frac{1}{(1.03)40} = 0

⇒  A\times 23.1148 - 10000\times 16.4436\times 0.3066 = 0

⇒  A = 10000\times 16.4436\times \frac{0.3066}{23.1148}

⇒      = 10000\times 16.4436\times 0.0132

⇒      =2180.81 ($)

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A 10-foot ladder leans against the side of a house with its base 2.2 feet from the house. Use the Pythagorean Theorem to approxi
sergejj [24]

Answer:

Ladder reaches 9.76 high.

Step-by-step explanation:

From the figure attached,

Ac is the ladder which reaches at the point A when leans against the side of a house.

Length of the ladder = 10 feet

Distance of the ladder form the base of a house = 2.2 ft

By Pythagoras theorem,

AC² = AB² + BC²

(10)² = h² + (2.2)²

h² = 100 - 4.84

h = √95.16

h = 9.755 feet

  ≈ 9.76 feet

Therefore, the ladder reaches the 9.76 high.

3 0
4 years ago
What is 4.3125 in fraction simplist form
seropon [69]
Simplest form: 4 15/16
4 0
3 years ago
7n +9 = -1+6(n+4)<br>can someone walk me through this please?​
Ira Lisetskai [31]

Answer:

n = 14

Step-by-step explanation:

7n +9 = -1+6(n+4)

Distribute

7n+9 = -1 +6n+24

Combine like terms

7n +9 = 6n +23

Subtract 6n from each side

7n -6n+9 = 6n-6n +23

n+9 = 23

Subtract 9 from each side

n+9-9=23-9

n = 14

6 0
3 years ago
An animal shelter spends $4.50 per day to care for each bird and $8.50 per day to care for each cat. Dominic noticed that the sh
Nimfa-mama [501]

Answer:

Step-by-step explanation:

4.5b + 8.5c = 175

b + c = 22.......b = 22 - c

4.5(22 - c) + 8.5c = 175

99 - 4.5c + 8.5c = 175

-4.5c + 8.5c = 175 - 99

4c = 76

c = 76/4

c = 19......there are 19 cats

b + c = 22

b + 19 = 22

b = 22 - 19

b = 3 <==== there are 3 birds

3 0
4 years ago
carol received 189 votes for class president. emma received twice that number of votes. how many votes did emma receive?
Maru [420]

Answer:

Emma = 378 votes

Step-by-step explanation:

Carol = 189 votes

Emma = 2 * Carol

Substitute 189 in for Carol

Emma = 2 * 189

Emma = 378 votes

Hope this helps :)

8 0
3 years ago
Read 2 more answers
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