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Alexeev081 [22]
3 years ago
11

Megan received a $208,000 inheritance after taxes from her parents. She invested it at 8% interest compounded quarterly for 5 ye

ars. A year after receiving the inheritance, she sold one of her rental properties for $218,000 and invested that money at 7% compounded semiannually for 4 years. Both of the investments have now matured. How much money does Megan have totaling both of these investments?
Mathematics
1 answer:
Nookie1986 [14]3 years ago
3 0
Use the compound interest formula.
  A = P*(1 +r/n)^(n*t)
where P is the principal, r is the annual rate, n is the number of compoundings per year, and t is the number of years.

For the first investment, ...
  A = 208,000*(1 +.08/4)^(4*5) = 309,077.06

For the second investment, ...
  A = 218,000*(1 +.07/2)^(2*4) = 287,064.37

Totaling both investments at maturity, Megan has $596,141.43.
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The price of an item has dropped to $84 today. yesterday it was $120 . find the percentage decrease.
ddd [48]
The price of an item has dropped to $84 today. yesterday it was $120 . find the percentage decrease.

8 0
3 years ago
Write an equation of the line passing through the point A(2, 0) that is parallel to the line y = 3x−5 .
sammy [17]
Hello,

In order for lines to be parallel to each other, they need to have the same slope. So, let's plug in the points and slope for point-slope form.

The equation for point-slope form is: y-y1 = m (x-x1)

Let's plug in the points into the equation. 
y-5 = m (x-0), and then let's plug in the slope for "m" : y-5 = 3 (x-0).

After plugging the numbers in, the equation is simplified to y-5 = 3 (x-0). Then distribute the 3 to the parenthesis. y-5 = 3x. To get y by itself, you need to add 5 to both sides. After that, the equation parallel to that equation is: y = 3x + 5.

Hope this helps! =)
4 0
3 years ago
All three sides of a triangle are initially 5.0 long. One of the triangle's sides is oriented horizontally. The triangle is scal
zlopas [31]

Answer:

h = 3.62

Step-by-step explanation:

First, as both triangles have the same angles we can use the relationship of areas and sides corresponding to similar triangles as follows:

relation\ between\ areas=( relation\ between\ sides)^2\\\frac{0.7A}{A}=(\frac{s}{5})^2\\s= 5\sqrt0.7= 4.18

Now we know that the new triangle has sides of 4.18. Then, as these triangles are equilateral we can use the Pythagorean Theorem to find the height:

4.18^2=h^2+(\frac{4.18}{2})^2\\h=\sqrt (4.18^2-2.09^2)=3.62 m\\h= 3.62

Finally the height of this new triangle is 3.62 cm

6 0
3 years ago
Y - 4 = -3 ( x - 3 )<br> rewrite in y = mx+b
evablogger [386]

Answer:  y = -3x + 13

Step-by-step explanation:

y - 4 = -3(x-3)

y - 4 = -3x + 9

y = -3x + 13

8 0
3 years ago
Read 2 more answers
An angle measures 51.4° less than the measure of its complementary angle. What is the measure of each angle?
kap26 [50]

Answer:

70.7 deg, 19.3 deg

Step-by-step explanation:

The sum of the measures of complementary angles is 90 deg.

One angle measures x.

The other angles measures 51.4 deg less than x, or x - 51.4.

The sum of their measures equals 90.

x + x - 51.4 = 90

2x - 51.4 = 90

2x = 141.4

x = 70.7

x - 51.4 = 70.7 - 51.4 = 19.3

Answer: 70.7 deg, 19.3 deg

5 0
2 years ago
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