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iogann1982 [59]
3 years ago
11

A saving account pays 2% interest compounded annually. If $1,200 is deposited initially and again at the first of each year,how

much money will be in the account three years after the initial deposit
Mathematics
2 answers:
Angelina_Jolie [31]3 years ago
5 0

3(1.02(1200))

3.06(1200) = 3672

You will have $3672

julia-pushkina [17]3 years ago
5 0

Answer:

The balance after 3 years will be $3745.93.

Step-by-step explanation:

The rate of interest = 2% or 0.02

p = 1200

t = 3

n = 1

1st year:

Compound interest formula is :

p(1+r/n)^{nt}

= 1200(1+0.02/1)^{3}

= 1200(1.02)^{3}

= $1273.45

2nd year:

1200(1+0.02)^{2}

= 1200(1.02)^{2}

=$1248.48

3rd year:

1200(1+0.02)^{1}

= 1200(1.02)^{1}

=$1224

So, total amount will be = 1273.45+1248.48+1224=3745.93 dollars

The balance after 3 years will be $3745.93.

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Y = – 1.3(x + 3)2 – 9
Naddika [18.5K]

Given equation, y = – 1.3(x + 3)2 – 9 is in slope intercept form.

Step-by-step explanation:

Slope intercept form standard formula:

                          y = mx + c

where,

         y= y intercept

         x= x intercept

        m = slope

        c = constant

We are given:

                          y = - 1.3(x + 3)2 - 9

                          y = - 2.6x + 7.8 - 9

                          y = -2.6x -1.2

So,

                 Slope = m = -2.6

                  constant = 1.2

6 0
4 years ago
Alaina is selling wreaths and poinsettias for her chorus fundraiser. Wreaths cost $27 each poinsettia cost $20 each. If she sold
marishachu [46]

Answer:

The number of wreaths Alaina sells is 9 .

Step-by-step explanation:

As given

Alaina is selling wreaths and poinsettias for her chorus fundraiser.

Wreaths cost $27 each poinsettia cost $20 each.

If she sold 15 poinsettias and made $543.

Let us assume that the number of wreaths Alaina sells = x

As the number of poinsettias  Alaina sells = 15

Than the equation becomes

27x + 15 × 20 = 543

27x + 300 = 543

27x  = 543 - 300

27x  = 243

x = \frac{243}{27}

x = 9

Therefore the number of wreaths Alaina sells is 9 .

4 0
3 years ago
Here is a dot plot that shows the ages of teachers at a school.
lisabon 2012 [21]

Answer:

whats the answer?

Step-by-step explanation:

7 0
3 years ago
Plssssssssssssss help ill give brainliest
Mariana [72]

Step by step explanation

  1. 180°-25°-65°= 90°
  2. 180°-100°-55°= 25°
  3. 180°-71°-56°= 53°
  4. 180°-(96+42)= 42°
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7 0
3 years ago
A parallelogram has sides of 18 and 26 ft, and an angle of 39° . Find the shorter diagonal
Fed [463]

Answer:

16.51

Step-by-step explanation:

In a parallelogram, the opposite angles are always equal in measure. So two of the angles in the parallelogram measure 39 degrees each.

The sum of angles of the parallelogram must be 360 degrees. Let the other two angles be x degree each. We can set up the following equation for the angles:

39 + 39 + x + x = 360

78 + 2x = 360

2x = 282

x = 141

This means, the other two angles measure 141 degree each. The shorter diagonal will be opposite to the shorter angle.

Hence, the diagonal opposite to the angle 39 degree will be the shorter one. A diagonal divides the parallelogram in two triangles. So we will have two sides and an included angle and we have to find the third side of the triangle which can be found using the law of cosines. Let the third side be c as shown in image below, using the law of cosines, we can write:

c^{2} = a^{2}+ b^{2} -2ab cos(\gamma)\\\\c^{2}=18^{2}+26^{2}-2(18)(26)cos(39)\\\\ c^{2}=272.59\\\\ c=16.51

Thus the shorter diagonal will be 16.51 feet in measure.

3 0
3 years ago
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