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irina1246 [14]
4 years ago
13

Suppose Adam wants to have $750,000 in his IRA at the end of 30 years. He decides to invest in an annuity paying 6% interest, co

mpounded annually. What does he have to contribute each year to reach this goal?
Mathematics
1 answer:
OLga [1]4 years ago
6 0

Answer:

  $9486.68

Step-by-step explanation:

The future value of a annuity formula can be used:

  FV = P((1+r)^n -1)/r

  750000 = P(1.06^30 -1)/0.06

  P = 750000(.06)/(1.06^30 -1) = 9486.68

Adam has to contribute $9,486.68 each year to reach his goal.

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Calculate the distance from each given point to the given line.
antoniya [11.8K]
Given:  <span>2x-y-3=0.
find </span>equation for the line perpendicular to the given line that goes through the given point:<span>
(2;-1)koord of direction vector (i`m not know how it is called at you, because i'm from russia)</span><span>
=> (x-0)/2=(y-4)/-1 (</span>canonical <span>equation)
=>x+2y-8=0(general </span><span>equation)
</span>
<span>further:
{x+2y-8=0
{2x-y-3 =0    =>   y=13/5 x=14/5

(14/5; 13/5) - koord point on line
</span>|dist|=sqrt( (14/5-0)^2 + (13/5-4)^2 ) = sqtr(7.72)  = 2.78

Удачи!
<span>
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7 0
3 years ago
Read 2 more answers
At a canning facility, a technician is testing a machine that is supposed to deliver 250 milliliters of product. The technician
Serhud [2]

Answer:

The value of the test statistic is t = 1.97

Step-by-step explanation:

The null hypothesis is:

H_{0} = 250

The alternate hypotesis is:

H_{1} \neq 250

Our test statistic is:

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the null hypothesis value, \sigma is the standard deviation and n is the size of the sample.

In this problem:

X = 251.6, \mu = 250, \sigma = 5.4, n = 44

So

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

t = \frac{251.6 - 250}{\frac{5.4}{\sqrt{44}}}

t = 1.97

The value of the test statistic is t = 1.97

4 0
4 years ago
Which expression is equivalent to negative one half open parentheses three minus two fifths close parentheses?
kondor19780726 [428]
The answer is negative three halves minus one fifth
4 0
3 years ago
Read 2 more answers
Can the formula F=ma be a direct variation equation? If so, which variable would have to be held constant?
ANEK [815]
Yes it can be a direct variation.  it follows the form y = kx
The only variable that cannot be held constant is F, but we can hold the mass constant and vary the acceleration OR we can hold the acceleration constant and vary the mass.  Either one would work, but the easiest would be to vary the mass and hold the acceleration constant since we are all pulled by the same action gravity


6 0
3 years ago
The formula for computing the feet is .
nexus9112 [7]

Answer:

When you have to get these measurements completely then you apply some multiplication as follows: Calculate cubic feet for different units (formula) From feet: length (ft) × width (ft) × height (ft) = cubic feet From inches: length (in) × width (in) × height (in) ÷ 1728 = cubic feet

Step-by-step explanation:

I don't know, sorry

8 0
3 years ago
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