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olganol [36]
3 years ago
15

Heather is looking at different options for retirement investing. She finds an IRA that will pay 5% interest on the balance ever

y year until she retires. Once she retires it will no longer pay any interest on the balance. She decides to do this and invests $5,000 in the account. She retires 20 years after she opened the account. If she has still not withdrawn any money, how much money is in the account when she retires?
Mathematics
2 answers:
mezya [45]3 years ago
8 0
The formula is
A=p (1+r)^t
A the amount ones she retires ?
P amount invested 5000
R interest rate 0.05
T time 20 years
A=5,000×(1+0.05)^(20)
A=13,266.49
kirza4 [7]3 years ago
8 0

Answer:

D. $13,266.50

Step-by-step explanation:

$13,266.50 This is an exponential function that can be modeled by y = 5000(1.05)x. Since you want to know how much is in the account 20 years later plug in 20 for x.

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Communicate Mathematical Ideas Find the area of the figure. Explain how you found your answer. 10 ft 16 ft 12 ft 18 ft
sveta [45]
<h3>Answer:  300 square feet</h3>

Explanation:

The trapezoid has area of

A = h*(b1+b2)/2

A = 6*(10+18)/2

A = 84

The rectangle is 18 ft by 12 ft, which leads to an area of 18*12 = 216 sq ft.

Adding the two sub-areas gets us: 84+216 = 300

The total area of the house-shaped figure is 300 sq ft.

5 0
2 years ago
the set below only contains which types of numbers {-1,5,1/2,15,3.75,36,square root 81,100 are they irrational numbers rational
nika2105 [10]

Answer:

I believe Irrational numbers, That's the answer I used and got it correct!

Step-by-step explanation:

5 0
3 years ago
An investment of $8,000 earns interest at an annual rate of 7% compounded continuously. Complete parts (A) and (B) below. Click
Sergeeva-Olga [200]

Answer:

A.    \mathtt{\dfrac{dA}{dt}|_{t=2}=644.15}

B.    \mathtt{\dfrac{dA}{dt}|_{t = 5.79}= 839.86 }

Step-by-step explanation:

Given that:

An investment of  Amount = $8000

earns  at an annual rate of interest = 7% = 0.07 compounded continuously

The objective is to :

A)  Find the instantaneous rate of change of the amount in the account after 2 year(s).

we all know that:

A = Pe^{rt}

where;

A = (8000) \ e ^{0.7t}

The instantaneous rate of change = \dfrac{dA}{dt}

\dfrac{dA}{dt} = \dfrac{d}{dt}(8000 \ e ^{0.07t} )

= 8000 \dfrac{d}{dt}e^{0.07 \ t}

\dfrac{dA}{dt}= 8000 (0.07)e^{0.07 \ t}

\dfrac{dA}{dt}= 560 e^{0.07 \ t}

At t = 2 years; the instantaneous rate of change is:

\dfrac{dA}{dt}|_{t=2}= 560 e^{0.07 \times 2}

\mathtt{\dfrac{dA}{dt}|_{t=2}=644.15}

(B) Find the instantaneous rate of change of the amount in the account at the time the amount is equal to $12,000.

Here the amount = 12000

12000 = (8000)e^{0.07 \ t}

\dfrac{12000 }{8000}= e^{0.07 \ t}

1.5= e^{0.07 \ t}

㏑(1.5) = 0.07 t

0.405465 = 0.07 t

t = 0.405465 /0.07

t = 5.79

\dfrac{dA}{dt}= 560 e^{0.07 \ t}

At t = 5.79

\dfrac{dA}{dt}|_{t = 5.79}= 560 e^{0.07 \times 5.79}

\mathtt{\dfrac{dA}{dt}|_{t = 5.79}= 839.86 }

7 0
3 years ago
Which solution set is graphed on the number line?-4-3-2_10123+4x 51ООX51
Rudik [331]

Explanation:

In this number line the solution set that's graphed is all numbers less than 1. It doesn't include 1 because that point is graphed with an empty circle.

Answer:

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5 0
1 year ago
1)Given: AB = 4 AD = 6
Vaselesa [24]
<span>1)Given: AB = 4 AD = 6
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the answer part 1) is 
the radius </span>of the larger circle is AD

<span>2)Given: AB = 4 AD = 6
What point is in the interior of both circles?
the answer Part 2) is 
The point A  (the center of the circles)

</span><span>3) Given: AB = 4 AD = 6
Which points are in the exterior of both circles?</span><span>
the answer Part 3) is
</span><span>E and G

</span><span>4)The circles are _____.
</span><span>the answer Part 4) is
</span><span>concentric
</span>
<span>5)If AC = 20 and BD = 8, what is the radius of the smaller circle?
</span>we know that
radius smaller circle=AB
and
AB=AC-BD--------> AC=20-12-------> AC=8 units

the answer part 5) is
the radius of the smaller circle is 12 units

<span>6)Given: AB = 4 AD= 6
What is the length of BD?</span>
we know that
AD=AB+BD
solve for BD
BD=AD-AB--------> BD=6-4-----> BD=2 units

the answer Part 6) is
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<span>7)Given: AB = 4 AD = 6
What is the name of the radius of the smaller circle?</span>

the answer Part 7) is 
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5 0
3 years ago
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