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Hitman42 [59]
3 years ago
6

8. At a wholesale food distribution center, the price of sugar has increased 6.3% annually since 1980.

Mathematics
1 answer:
Nitella [24]3 years ago
7 0

Answer: A. $4.12

Step-by-step explanation:

Y=a(1+r/n)^nt is the equation we use to solve this.

a= $0.43

t=37 - take 1980 and subtract it from 2017

r= .063 - the 6.3% goes into a decimal

n = 1

Y= ?

Y= 0.43( 1+ .063/1) ^1*37

Y= 0.43 (1.063) ^37

Y= 4.12

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Write the first five terms of the arithmetic sequence. First term: -8 and common difference: -2
Hunter-Best [27]

Answer:

-8,-10,-12,-14,-16

Step-by-step explanation:

Just take -8 and add -2 to find each term

7 0
3 years ago
write the particular equation of this transformed sine graph. assume that the horizontal shift is 1 unit to the right. (hint: tr
Goryan [66]
We are given the graph of sine function.
First, we get the amplitude
A = [6 - (-2)] / 2
A = 4

Next, we determine the period and b
T = 4 - 0 = 4
b = 2π / T
b = π/2

The original sine function was
y = 4 sin πx/2

After the transformation, the equation now is
y = 4 sin [π(x+2)/2] + 2
4 0
3 years ago
Read 2 more answers
Expand the following:<br> a) x(x + 2)<br> b) x(2x - 5)<br> c) 2x(3x + 4)<br> d) 6x(x - 2)
TEA [102]

Answer:

<h2>a. \:  {x}^{2}  + 2</h2>

<h2> </h2><h2>b. \: 2 {x}^{2}  - 5x</h2><h2> </h2><h2>c. \: 6 {x}^{2}  + 8x</h2><h3> </h3><h3>d. \: 6 {x}^{2}  - 12x</h3>

solution,

a. \: x(x + 2) \\  \:  \:  = x \times x + 2 \times x \\  \:  \:  =  {x}^{2}  + 2x

b . \: x(2x - 5) \\  \:  = x \times 2x - x \times 5 \\  \:  \:  = 2 {x}^{2}  - 5x

c. \: 2x(3x + 4) \\  \:  = 2x \times 3x + 2x \times 4 \\  \:  \:  = 6 {x}^{2}  + 8x

d. \: 6x(x - 2) \\  \:  \:  = 6x \times x  - 6x \times 2 \\  \:  \:  = 6 {x}^{2}  - 12x

<h2> </h2><h2 />

Hope this helps...

Good luck on your assignment..

4 0
3 years ago
What is the balance on a deposit of $1,150 that earns 9% interest compounded annually for 2 years
igor_vitrenko [27]
Step One: Calculate interest.

1150*0.09=103.5

Step Two: Calculate the amount at the end of the first year.

1150+103.5=1253.5

Step Three: Calculate the amount at the end of the second year. This will be your final answer.

1253.5+103.5=1357

$1357 balance
3 0
3 years ago
Given a soda can with a volume of 21 and a diameter of 6, what is the volume of a cone that fits perfectly inside the soda can?
lutik1710 [3]
If the soda can is a cylinder, which is most likely, than that means we need to find the height of the cone. The formula for volume of a cylinder is V= пr^2h (look at the pic for clearer formula) and we know the diameter of the soda can is 6, we know the radius is 3 because diameter is a line reaching from one point of the circle to the other. Radius is a line reaching from the center of the circle to the outside as shown in the image. We divide pi (you can put in the calculator 3.14) from 21, then we get 6.688 (if we round up) and then you must look at the formula now

it looks like
6.688=r^2h

that means we must find 3^2
that basically means 3x3 which is 9

then you have to divide that from 6.688

then you get 0.743

that is your height.

now we must find the volume of the cone. The formula for that is

V=пr^2(h/3)

now lets plug in our info

V=(3.14)(9)(0.743/3)

you get 6.999

4 0
3 years ago
Read 2 more answers
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