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astra-53 [7]
3 years ago
6

PLEASE HELP ME!John invests $2,975 at 4% interest compounded annually. What will be the balance in the account after 2.5 years?

(1 point)
$3,272.50
$3,281.48
$5,493.86
$7,735.00
Mathematics
2 answers:
ch4aika [34]3 years ago
8 0
2975(1+0.04)^2.5=???? Hope it helps :-)
Citrus2011 [14]3 years ago
7 0
2975✖️.04= 119
119✖️2.5=297.5
2975+297.5=3,272.50
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Find the solution to the system of equations.
attashe74 [19]

Answer: 3x + 2y - 4z= -7= <em><u>-5/8</u></em>

<em><u></u></em>

x - 4y + 3z = 10= 11

2x + 2y - 3z= -5= -2

Step-by-step explanation:

7 0
3 years ago
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Jorge is asked to build a box in the shape of a rectangular prism. The maximum girth of the box is 20 cm. What is the width of t
MariettaO [177]

Answer:

The width of the box is 6.7 cm

The maximum volume is 148.1 cm³

Step-by-step explanation:

The given parameters of the box Jorge is asked to build are;

The maximum girth of the box = 20 cm

The nature of the sides of the box = 2 square sides and 4 rectangular sides

The side length of square side of the box = w

The length of the rectangular side of the box = l

Therefore, we have;

The girth = 2·w + 2·l = 20 cm

∴ w + l = 20/2 = 10

w + l = 10

l = 10 - w

The volume of the box, V = Area of square side × Length of rectangular side

∴ V = w × w × l = w × w × (10 - w)

V = 10·w² - w³

At the maximum volume, we have;

dV/dw = d(10·w² - w³)/dw = 0

∴ d(10·w² - w³)/dw = 2×10·w - 3·w² = 0

2×10·w - 3·w² = 20·w - 3·w² = 0

20·w - 3·w² = 0 at the maximum volume

w·(20 - 3·w) = 0

∴ w = 0 or w = 20/3 = 6.\overline 6

Given that 6.\overline 6 > 0, we have;

At the maximum volume, the width of the block, w = 6.\overline 6 cm ≈ 6.7 cm

The maximum volume, V_{max}, is therefore given when w = 6.\overline 6 cm = 20/3 cm  as follows;

V = 10·w² - w³

V_{max} = 10·(20/3)² - (20/3)³ = 4000/27 = 148.\overline {148}

The maximum volume, V_{max} = 148.\overline {148} cm³ ≈ 148.1 cm³

Using a graphing calculator, also, we have by finding the extremum of the function V = 10·w² - w³, the coordinate of the maximum point is (20/3, 4000/27)

The width of the box is;

6.7 cm

The maximum volume is;

148.1 cm³

5 0
3 years ago
Please help! I'm getting timed.
Molodets [167]
Hi there! The answer is A.

t = 2(s + 2)
To get a proper idea of the type of function this formula represents we work out the parenthesis.

Working out the parenthesis can for instance be done using rainbow technique.
t = 2s + 4

We can now see sinilarities between this function an the general function of a line in slope intercept form
y = mx + n

The function t therefore describes a line with slope 2 and y-intercept 4. Therefore the answer is A.
3 0
3 years ago
HELP!!!!!!!!!!!
Svetradugi [14.3K]

Using the mean concept, it is found that:

Relative to Sabrina's goal, her average swim time over the last five weeks is 0.1 hours.

-----------------------

The mean of a data-set is given by the <u>sum of all observations divided by the number of observations</u>.

In this problem:

  • The data-set is her swim time relative to her goal, which is: {1.25, -1, 2.25, 0, -2.}
  • 5 observations.

Thus, the mean is:

M = \frac{1.25 - 1 + 2.25 + 0 - 2}{5} = 0.1

Relative to Sabrina's goal, her average swim time over the last five weeks is 0.1 hours.

A similar problem is given at brainly.com/question/24787716

7 0
2 years ago
Fiona’s school has three hallways that make up three sides of a triangular building design. In the morning, Fiona walks 90 yards
lilavasa [31]

Answer:

"between 30 yards and 150 yards"

Step-by-step explanation:

Let one side of a triangle be x and another side be y. To find the possible lengths of the third side, it is given by:

<u><em>Possible length of 3rd side would be between "x - y" and "x + y"</em></u>

<u><em /></u>

Here, given x = 90 and y = 60, so the possible length of 3rd side would be:

90 - 60 = 30,

90 + 60 = 150

Hence, in between 30 and 150

6 0
3 years ago
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