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babymother [125]
2 years ago
9

Suppose Amanda wants to have $800,000 in her IRA at the end of 30 years. She chooses to invest in an annuity that pays

Mathematics
1 answer:
VARVARA [1.3K]2 years ago
6 0

Her IRA interest at the end of 30 years is mathematically given as

Interest= 438,765.56

<h3> IRA interest </h3>

Question Parameters:

  • N = 30
  • PV = 0
  • rate = 5%
  • FV = 800,000

Generally the equation for the payment function on excel is mathematically given as

A=PMT(rate, nper, pv, [fv], [type])

Therefore, inputting our functions

A=PMT(rate, nper, pv, [fv], [type])

where

A=PMT(5%, 30, 0, [800000], [])

A = 12,041.1481

Hence

interest = 800,000 - 30*12,041.1481

Interest= 438,765.56

For more information on Growth rate

brainly.com/question/5160341

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Find the equation of all tangent lines having slope of -1 that are tangent to the curve y=(9)/(x+1)
fredd [130]

Answer:

f(x)=\frac9{x+1}\\ f'(x)=-\frac9{(x+1)^2}\\ f'(x)=-1\ \iff\ -\frac9{(x+1)^2}=-1\ \to \ \frac9{(x+1)^2}=1\ \to \ (x+1)^2=9\\ |x+1|=3\ \to \ x+1=3\ \vee\ x+1=-3\\ x_1=2\ \vee\ x_2=-4\\ f(x_1)=f(2)=\frac9{2+1}=3\\ f(x_2)=f(-4)=\frac9{-4+1}=-3

First tangent line:

y=f'(x_1)\cdot (x-x_1)+f(x_1)\ \to \ y=-1(x-2)+3\ \to \ y=-x+5

Second tangent line:

y=f'(x_2)\cdot (x-x_2)+f(x_2)\ \to \ y=-1(x+4)-3\ \to \ y=-x-7


Notice: slope of -1 means that both f'(x_1), \ f'(x_2) are equal to -1, so f'(x_1)=-1 \ and \ f'(x_2)=-1


6 0
2 years ago
Read 2 more answers
The probability of selecting a pink piece of construction paper is 23/60 . The chance of selecting a pink piece of construction
gregori [183]
15% is the chance..................
6 0
3 years ago
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Macy is painting a design that contains two repeating patterns. One pattern repeats every 8 inches. The other repeats every 12 i
spayn [35]

Answer:

8-inch pattern is fully printed 28 times.

12-inch pattern is fully printed 19 times.

Patterns start at the same place 9 times

Step-by-step explanation:

1. 19 feet is 228 inches.

2. 8-inch pattern is fully printed 28 times.

3. 12-inch pattern is fully printed 19 times.

4. 8-inch patterns starts at`0,8,16,24,32,40,48...

5. 12-inch pattern starts at 0,12,24,48...

6. As you see they start at the same place after 24 inches.

7. 228/24=9.5, => They start at the same place 9 times.

3 0
3 years ago
Order of operations is a set of rules that allow mathematicians to get the same value from a given expression.
Volgvan

Answer:

6

Step-by-step explanation: 4^2 - 8 / (1+3) x 5 = 4^2 - 8 / 4 x 5 = 16 - 8 / 4 x 5 = 16 - 2 x 5 = 16 - 10 = 6

4 0
3 years ago
Read 2 more answers
Winston can drive a total of 248 miles on Monday. He drove 70 fewer miles in the morning that he did in the afternoon. How many
Nookie1986 [14]
To find the answer,we can set an equation:

Let the time he used to drive in the afternoon be y miles.

Time used in the afternoon = y
Time used in morning = y - 70
Total time used = 248

The value of y:

y + (y - 70) = 248
2y-70 = 248
2y = 248+70
2y = 318
y = 318/2
y = 159

Therefore, he droved 159 miles in the afternoon.

Hope it helps!
7 0
3 years ago
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