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Rashid [163]
3 years ago
10

Burton Bush wants to retire in Arizona when he is 80 years of age. Burton, who is now 55, believes he will need $400,000 to reti

re comfortably. To date, he has set aside no retirement money. If he gets an interest of 6 percent compounded annually, he will have to invest today

Mathematics
2 answers:
olga nikolaevna [1]3 years ago
7 0
Comment if you need clarification!

Elden [556K]3 years ago
5 0

Answer:

The initial invest must be 93.199,45

Step-by-step explanation:

Topic: Compound Interest

Remember the present value and future value formulas. the one needed for this excersice is present value formula, as it follows

P_{v}  = F_{v}/(1+i)^{n}

to calculate the n value you have to sustract the age of retirement and the actual age being

n= 80 - 55 = 25

and the compound interest being 6% annually

so the calculation would be

P_{v}  = \frac{F_{v}}{(1+6\%)^{n} }

replacing the values would make

P_{v} = \frac{400.000}{((1+0.06)^{25} }  = 93.199,45

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PLS HELP, I'm not very good at math so I need the answer to this
statuscvo [17]

Answer:

A BT = CT

Step-by-step explanation:

BAT ≅ CAT

That means

The angles are the same and the sides are the same by CPCTC

AB = AC

CT = BT

AT=AT

and

< BAT = <CAT

< ATB = <ATC

< TBA = <TCA

Given the choices on the left

A BT = CT is one of them

4 0
2 years ago
Which of the following is a liability?
larisa [96]
Do you have the answer choices?

7 0
3 years ago
Simplify completely x^2+4x-45 / x^2+10x+9
S_A_V [24]

Answer: x - 5/x + 1

Step-by-step explanation:

This algebraic fraction

The task to be performed here is factorisation and simplification. Now going by the question,

x² + 4x - 45/x² + 10x + 9, the factorisation of

x² + 4x - 45 = x² + 9x - 5x - 45

= x(x + 9 ) - 5(x + 9 )

= ( x + 9 )(x - 5 ), don't forget this is the algebraic fraction's Numerator

The second part

x² + 10x + 9 = x² + x + 9x + 9

= x(x + 1) + 9( x + 1 )

= ( x + 9 )( x + 1 ), this is the algebraic denominator.

Now place the second expression which is the denominator under the first expression which is the numerator.

( x + 9 )( x - 5 )/( x + 9 )( x + 1 ).

You can see that, ( x + 9 )/( x + 9 ) divide each other , therefore therr then cancelled and left with

x - 5/x + 1

4 0
3 years ago
Which of the following words does not indicate multiplication?
never [62]

Answer:

D, more than

Step-by-step explanation:

More than is addition / greater than

4 0
3 years ago
A Family purchased tickets to the movies in spent a total of $40.75. The family purchase five tickets there was a $.90 processi
muminat

Answer:

$7.25

Step-by-step explanation:

Total amount spent on the ticket   = $40.75

Number of ticket purchased  = 5

Processing fee per ticket  = $0.90

Unknown:

Cost of each ticket = ?

Solution:

To solve this problem, we need to find the processing fee for the 5 tickets purchase;

      Processing fee = number ticket x processing fee per ticket

      Processing fee  = 5 x 0.9  = $4.5

Now, the real cost a ticket = $40.75  - $4.5  = $36.25

So, cost per ticket is;

        Cost  = \frac{36.25}{5}   = $7.25

7 0
3 years ago
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