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creativ13 [48]
3 years ago
7

Isabella invested $500 at 6% annual interest, compounded quarterly. How much will her Investment be after 25 years.

Mathematics
1 answer:
kompoz [17]3 years ago
6 0

Answer:

$2216.02

Step-by-step explanation:

Compound interest formula:

FV=PV(1+\frac{i}{n})^{nt}\\\\FV=500(1+\frac{.06}{4})^{25*4}\\\\500(1.015)^{100}\\=2216.02

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The length of a rectangle is 24 units. Can the perimeter x of the rectangle be 60 units when its width y is 11 units? (1 point)
zlopas [31]
The first choice is correct. No, the rectangle cannot have x=60 and y=11 because x=48+2y.

Perimeter is x=2w+2y. Therefore x=2(24)+2(11) which equals 70 not 60.
7 0
3 years ago
Kaitlin, Tony, and Austin sent a total of 103 text messages over their cell phones during the weekend. Austin sent 4 times as ma
emmainna [20.7K]

The number of messages Kaitlyn, Tony and Austin sent are 13, 18 and 72 messages respectively.

<h3>How to write and solve equation?</h3>

let

  • Number of messages Kaitlyn sent = x
  • Number of messages Tony sent = x + 5
  • Number of messages Austin sent = 4(x + 5)
  • Total messages = 103

103 = x + (x + 5) + 4(x + 5)

103 = x + x + 5 + 4x + 20

103 = 6x + 25

103 - 25 = 6x

78 = 6x

x = 78/6

x = 13

Number of messages each sent:

Number of messages Kaitlyn sent = x

= 13 messages

Number of messages Tony sent = x + 5

= 13 + 5

= 18 messages

Number of messages Austin sent = 4(x + 5)

= 4(13 + 5)

= 4(18)

= 72 messages

Learn more about equation:

brainly.com/question/2972832

#SPJ1

3 0
1 year ago
Find equations of the line that is parallel to the z-axis and passes through the midpoint between the two points (0, −4, 9) and
Lorico [155]

Answer: x = -4, y = 0.5, z = 5 +t

Hi!

The line L whose direction is parallel to vector V a passes through point A

is parametrized

P_L = Vt + A

Where t, is a real number, and P_L is a any point on line L.

In this case the direction is that of the z-axis , so V = (0, 0, 1)

A is the midpoint between points B = (0, -4, 9) and C=(-8, 5, 1)

The midpoint is A = (B + C)/2 = (-4, 0.5, 5)

Then the line is:

P_L = (0,0,1) t + (-4, 0.5, 5)

The equations for each coordinate are:

x = -4\\y = 0.5\\z = 5 + t

7 0
3 years ago
What is the measure of Z PRQ?<br> 62°<br> 108°<br> P.<br> N<br> R
Ksju [112]
The measure of PRQ is 46 degrees.
6 0
2 years ago
12x+40=15x+25 solve for x
fiasKO [112]

Answer:

5 = x

Step-by-step explanation:

12x+40=15x+25

Subtract 12x from each side

12x-12x+40=15x-12x+25

40 = 3x +25

Subtract 25 from each side

40-25 = 3x+25-25

15 =3x

Divide by 3

15/3 =3x/3

5 = x

6 0
3 years ago
Read 2 more answers
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