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ruslelena [56]
3 years ago
9

17. (Ignore income taxes in this problem.) If you wanted to withdraw $12,000 from a bank account at the end of each of the next

20 years, approximately how much would you have to invest in the account today assuming a 6% interest rate?
a. $20,924
b. $38,462
c. $74,880
d. $137,604
Mathematics
1 answer:
Rufina [12.5K]3 years ago
8 0

Answer:

  d.  $137,604

Step-by-step explanation:

The amortization formula is good for this. It tells you the principal P that must be invested to support payments of A each year for t years when the interest rate is r:

  P = A(1 -(1 +r)^-t)/r

  P = $12,000(1 -1.06^-20)/0.06 ≈ $137,639.05

The closest answer choice is $137,604.

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An item has a listed price of 40%. If the sales tax rate is 8%, how much is the sales tax (in dollars)?
horrorfan [7]

Answer: $34

Step-by-step explanation: I took a test that had this question

7 0
3 years ago
A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base with a speed of 31 ft/s. (a) A
Afina-wow [57]

Answer:

13.86 ft/sec

Step-by-step explanation:

If we let x = distance batter has run at time t and  D = distance from second base to the batter at  time t, then we know \frac{dx}{dt}=31 ft/s and we want \frac{dD}{dt} when he is halfway (at x = 45).

Using Pythagoras theorem

D^2=90^2+(90-x)^2\\\text{Differentiating with respect to t}\\2D\frac{dD}{dt}=0+2(90-x)(-1)\frac{dx}{dt}\\2D\frac{dD}{dt}=-2(90-x)\frac{dx}{dt}

When x=45

D^2=90^2+(90-x)^2\\D^2=90^2+(90-45)^2\\D^2=10125\\D=\sqrt{10125}

2D\frac{dD}{dt}=-2(90-x)\frac{dx}{dt}\\2\sqrt{10125}\frac{dD}{dt}=-2(90-45)(31)\\\frac{dD}{dt}=\frac{-2(45)(31)}{2\sqrt{10125}} =-13.86ft/s

Thus, when the batter is halfway to first base, the distance between second base and the batter is  decreasing at the rate of about 13.86 ft/sec.

4 0
3 years ago
The answer is not A can someone plz help me I’m not understanding it thank you it would be appreciated
jeka94

nswer:

209.8

Step-by-step explanation:

the bottom is = 11 * 5

two of the sides are 11 * 9.3 / 2    because they are triangles, and then times 2 because there are two of them

the other two sides are 10.5 * 5 / 2 , and the * 2 because there are two of them again.

(11 * 5) + (11 * 9.3 * 2 / 2) + (10.5 * 5 * 2 / 2) =209.8

6 0
3 years ago
If a pen and a pencil cost 1.10$ but the pen cost is 1$ more than pencil​
Stella [2.4K]

Answer:

The pencil cost $0.05 and the pen cost $1.05.

Step-by-step explanation:

Let, the price of the pencil is $ .

Given that the pen costs a dollar more than the pencil,

So, the price of the pen=$+1.

Therefore, ++1=1.10

, 2+1=1.10

, 2=1.10–1

, 2=0.10

, =0.10/2

, =0.05

The pencil cost $0.05 and the pen cost $1.05.

4 0
2 years ago
-4(2p + 5) + 8p = -11
sweet-ann [11.9K]

Answer:

There are no values of P to make it true

Step-by-step explanation:

6 0
2 years ago
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