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2 years ago

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

Mathematics

1 answer:

Nitella [24]2 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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In the parking lot there are 1960 convertibles and 490 minivans, for a total of 2450 cars all together what is the ratio of cars

Sidana [21]

Answer: 5:4

Step-by-step explanation:

Given : The number of convertibles = 1960

The number of minivans = 490

Total cars = 2450

The ratio of A to B can also be written as $\dfrac{A}{B}$ .

The ratio of cars to convertibles = $\dfrac{\text{Number of cars}}{\text{Number of convertibles}}$

$=\dfrac{2450}{1960}\\\\=\dfrac{5}{4}\ \ \ \text{[Simplest form]}$

Hence, the ratio of cars to convertibles = 5:4

4 0

2 years ago

If x-7=14, then what is the value of x-2

Volgvan

If x- 7 = 14 then X = 21. so 21-2= 19. :)

4 0

3 years ago

Read 2 more answers

What is the correct inverse function for f(x) = e2x ?

Lena [83]

To solve this problem you must appy the proccedure shown below:

1. You have the following function given in the problem above:

f(x)=e^2x

2. You can rewrite is:

y=e^2x

3. Interchange the variables, as below:

x=e^2y

3. The inverse of an exponential function is the logarithm function. Thereforem you have:

ln(x)=ln(e^2y)
ln(x)=2y

4.Then, you have:

y=ln(x)/2

Therefore, the answer is:

f^-1(x)=ln(x)/2

5 0

2 years ago

Can anyone solve this:

ludmilkaskok [199]

So fuctions mean
if
f(x)=x+2 then if you put in 3 for x then
f(3)=3+2=5 so

if x=years after 2000
in 2020 then
2020-2000=20 so x=20
subsitute
f(20)=9204e^0.022(20)

e could be:
1. common base of logarithms (memorised to 15 decmals) 2.718281828459045
2. a computer notation exg if you have 3e11 that means 3 times 10^11

if it is 1
9240 times (2.718281828459045^(0.022 times 20))=( simplify exponent first) 9240 times (2.718281828459045^0.44)=9204 times 1.5527072185113=14291.1 or rounded to 14291

if it is 2
9204 times 10^(0.022 times 20)=9204 times 10^(0.44)=9204 times 254.491 rounded to 254

so the answer dependes on what e represents,

if e is:
1. common base of logarithms (memorised to 15 decmals) 2.718281828459045, then answer is 14291

2. a computer notation exg if you have 3e11 that means 3 times 10^11 =254

7 0

2 years ago

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The graph of a linear relationship passes

Evgen [1.6K]

Answer:

The equation of the linear relationship is y = 3x + 2 ⇒ B

Step-by-step explanation:

<em>To solve the question substitute the x in the equation by the x-coordinate of each point to find y, if y equals the y-coordinate of the point, then the point is on the graph of the equation</em>

∵ y = 2x + 3

→ Use the first point (0, 2)

∵ x = 0

→ Substitute x by 0 in the equation

∴ y = 2(0) + 3

∴ y = 0 + 3 = 3

∵ The y-coordinate is 2

∴ The point (0, 2) does not lie on the graph of the relationship

∴ The equation y = 2x + 3 doesn't represent the equation of the relationship

∵ y = 3x + 2

→ Use the first point (0, 2)

∵ x = 0

→ Substitute x by 0 in the equation

∴ y = 3(0) + 2

∴ y = 0 + 2 = 2

∵ The y-coordinate is 2

∴ The point (0, 2) lies on the graph of the relationship

→ Use the second point (1, 5)

∵ x = 1

→ Substitute x by 1 in the equation

∴ y = 3(1) + 2

∴ y = 3 + 2 = 5

∵ The y-coordinate is 5

∴ The point (1, 5) lies on the graph of the relationship

→ Use the third point (3, 11)

∵ x = 3

→ Substitute x by 3 in the equation

∴ y = 3(3) + 2

∴ y = 9 + 2 = 11

∵ The y-coordinate is 11

∴ The point (3, 11) lies on the graph of the relationship

→ Use the fourth point (2, 7)

∵ x = 2

→ Substitute x by 2 in the equation

∴ y = 3(2) + 2

∴ y = 6 + 2 = 8

∵ The y-coordinate is 7

∴ The point (2, 7) doesn't lie on the graph of the relationship

∴ The equation of the linear relationship is y = 3x + 2

3 0

2 years ago