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irina1246 [14]
3 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]3 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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The rectangle below has an area of x^2-7x+10square meters and a width of x - 5 meters. What expression represents the length of
jolli1 [7]

Answer:

L = (x - 2) meters

Step-by-step explanation:

The area of the rectangle = (x² - 7x + 10) m²

The width = (x - 5) m

length = ?

Area of a rectangle = length × width

x² - 7x + 10 = L(x -5)

note L = length

divide both sides by (x-5)

(x² - 7x + 10)/(x - 5) = L

L = x² - 7x + 10 / (x -5)

Factorize x² - 7x + 10

find the numbers you can multiply to give you 10 and also add to give you -7

The numbers are -2 and -5. Therefore,

x² - 2x - 5x + 10 = 0

x(x - 2) - 5(x - 2) = 0

(x-5)(x-2) = 0

Let us go back to our division

L = x² - 7x + 10 / (x -5)

x² - 7x + 10 = (x-5)(x-2)

L = (x-5)(x-2) / (x -5)

L = (x - 2) meters

7 0
3 years ago
In the expression 5x + 15 = 150, you can start solving the problem
Gnoma [55]

Answer:

i think 2x

Step-by-step explanation:

7 0
2 years ago
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PLZZ help ZOOM IN THE SEE IT CLEAR easy math problem
9966 [12]

Answer:

\large\boxed{\sqrt{16}}

Step-by-step explanation:

\sqrt{15}\ \text{is irrational number}\\\\\sqrt{21}\ \text{is irrational number}\\\\\sqrt{22}\ \text{is irrational number}\\\\\sqrt{16}\ \text{is rational number because}\ \sqrt{16}=4

3 0
3 years ago
Can someone help me, please? Also, can someone explain it?
Arada [10]

Answer:60m^2

Step-by-step explanation:you have to find the height of the triangle first which is easy bc it’s been split in half so the are now two right triangles. use the pythagorean theorem to determine the height, the height is 12, the formula for the area of a triangle is 1/2bxa and half of the base is already given to you, 5 so 5 x 12 equals 60

5 0
3 years ago
2. An exam readiness awareness taskforce at a Fremont National university sampled 200 students after the midterm to ask them whe
k0ka [10]

Answer:

c) (40+60+25)/200 or 63%

Step-by-step explanation:

n= 200 students

Did Well on the Midterm and  Studied for the Midterm = 75

Did Well on the Midterm and Went Partying = 40

Did Poorly on the Midterm and Studied for the Midterm = 25

Did Poorly on the Midterm and Went Partying = 60

The number of students that did poorly on the midterm or went partying the weekend before the midterm is given by the sum of all students who did poorly to all students who went partying minus the number of students who did Poorly on the Midterm and Went Partying:

N=(25+60)+(40+60) - 60\\N= 125

The probability that a randomly selected student did poorly on the midterm or went partying the weekend before the midterm is given by:

P = \frac{N}{n}=\frac{125}{200} = 0.63 = 63\%

3 0
3 years ago
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