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GuDViN [60]
2 years ago
7

Gordon invested $77,000 into a CD compounded quarterly with an annual interest

Mathematics
1 answer:
erastovalidia [21]2 years ago
3 0

Answer:

$135,150.18

Step-by-step explanation:

We're gonna use the quarterly compound interest formula: P = A(1 + r/4)⁴ⁿ

P = final amount (?)

A = starting amount (77,000)

r = rate (0.063)

n = years (9)

P = 77000(1 + 0.063/4)⁴ ˣ ⁹

P = 77000(1 + 0.063/4)³⁶

P = 77000(1.01575)³⁶

P = 77000(1.7551972)

P = 135,150.1844

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2 years ago
A can of soup has the shape of a cylinder.
Jobisdone [24]

Answer:

Step-by-step explanation:

Height h = 4.5 inches

Radius r = 3.4/2 = 1.7 inches

Area of base = πr² = 2.89π square inches

Volume of cylinder = πr²h = 2.89π4.5 = 13.0 cubic inches

6 0
2 years ago
Read 2 more answers
A circle is centered at the point (-3,2) and passes through the point (1,5). What is the radius of the circle?
Akimi4 [234]

Answer:

5

Step-by-step explanation:

The radius is a distance on a circle from the center to a point on the circle.

We have both of these points describe here in this definition.  Using the distance formula will give us the radius.

\sqrt{(x \text{ difference })^2+(y \text{ difference})^2

The difference between 1 and -3 is 1-(-3)=4.

The difference between 5 and 2 is 5-2=3.

\sqrt{4^2+3^2}

\sqrt{16+9}

\sqrt{25}

5

8 0
3 years ago
5. Write down the nth term of each of the following G.Ps
yawa3891 [41]

Answer:

1i) nth term = 12(-b/4)^(n-1)

ii) nth term = 3(-1/9)^(n-1)

2i) Sixth term= (-3b^5)/256

ii) Eight term = -1/1594323

Question:

The complete question as found on brainly (question-10746111):

Write down the nth term of each of the following G.Ps whose first two terms are given as follows. Also find the term stated besides each G.P.

i) 12,-3b,......sixth term

ii) 3,-1/3,..........;8th term?

Step-by-step explanation:

1) To solve terms involving Geometric progressions (GPs), we would first state the variables that are to be incorporated in the formula.

i) 12,-3b,......;sixth term

1st term = a= 12

r = common ratio = 2nd term /1st term

r = -3b/12 = -b/4

Then we would find the nth term

See attachment for details

ii) 3,-1/3,..........;8th term

1st term = a= 3

r = common ratio = 2nd term /1st term

r = (-⅓)/3 = (-⅓)(⅓) = -1/9

Then we would find the nth term

See attachment for details

2) we are to determine the sixth term in (i) and eight term in (ii)

See attachment for details

Sixth term= (-3b^5)/256

Eight term = -1/1594323

7 0
3 years ago
3x+4/5=7-2x what does x=
klemol [59]

Answer:

x=31/25

Step-by-step explanation:

3x+4/5=7-2x

Multiply through by 5

5(3x+4/5)=5(7-2x)

15x+4=35-10x

Collecting like terms

15x+10x=35-4

25x=31

x=31/25

4 0
3 years ago
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