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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 If she has still not withdrawn any money, how much money is in the account when she retires?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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Use the diagram below to answer parts B, and C.
expeople1 [14]

Answer:

The volume of the triangular prism in the diagram is:

  • <em>105.5</em> in^{3}

The surface area of the triangular prism in the diagram is:

  • <em>10.75</em> in^{2}

Step-by-step explanation:

First, we're gonna calculate the surface area to obtain the volume, then, to calculate the area of a triangle (because the surface o a triangular prism is just a triangle), you can use the formula:

  • Area of a triangle = (base * height) / 2

We have this data from the diagram, where the base of the triangles is 5 inches and, the height is 4.3 inches, replacing this in the formula:

  • Area of a triangle = ( 5 in * 4.3 in) / 2
  • Area of a triangle = ( 21.5 in^{2}) / 2
  • Area of a triangle = <em>10.75</em> in^{2}

Now, we can calculate the volume of the triangular prism with the next formula:

  • Volume of a triangular prism = surface area * depth

In the diagram, we can see the depth is 14 inches, then:

  • Volume of a triangular prism = 10.75 in^{2} * 14 in
  • Volume of a triangular prism = <em>105.5</em> in^{3}

How you can see with the calculations perfomed, <em>the surface area is 10.75 </em>in^{2}<em> and the volume of that triangular prism is 105.5 </em>in^{3}.

7 0
3 years ago
Twice a number k plus 8 equals one-half times the quantity of four times a number k plus fourteen ?
belka [17]

Answer:

No solutions

Step-by-step explanation:

So putting that into an equation it equals

2k+8=(4k+14)÷2

Move the 2 to the other side.

2∙2k+8=4k+14

Simplify.

4k+8=4k+14

It doesn't make sense so No Solutions

8 0
3 years ago
Geometric shapes are drawn on cards as shown. The cards are placed in a box. A card is randomly selected.
AnnZ [28]

Answer:

5/12

Step-by-step explanation:

This is because there are 12 cards and 5 of the twelve are triangles. So 5/12 is your answer! Hopefully I helped, enjoy your day :)

5 0
2 years ago
Solve bc-c^3 when b=8, and c=2.<br><br>solve da^2 when d=7, and a=4.​
Novosadov [1.4K]
56 because that’s what I torn
7 0
3 years ago
a high school play costs an up front $3000 to produce plus an additional cost of each performance. Every sold-out performance of
vodomira [7]
So based on the information here, it costs $3,000 up front but an additional $1,000 for each play and each sold out performance brings in $2,500

For the sake of simplicity, when solving it, I won't be putting the dollar sign

So the equation is the following:

3,000+1,000x=2,500x 

So you need to get "x" by itself

First, minus 1,000x from each side

So it is now 3,000=1,500x

Now you divide 3,000 by 1,500 which is 2

x=2

So that means two performances need to sell out in order to break even with the cost

-------------------

To check:

$3,000+$1,000(2)=$2,500(2)

$1,000×2=$2,000 and $3,000+$2,000=$5,000

$5,000=$2,5000(2)

$2,500×2=$5,000

$5,000=$5,000

So it it correct





5 0
3 years ago
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