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2 years ago

1.) how much will $5000 be worth in 5 years if it is compounded continuously at 3% interest.

Mathematics

1 answer:

Nady [450]2 years ago

5 0

Answer:

$5809.17

$6149.01

$2211.72

Step-by-step explanation:

Continous interest formula:

(pv)e^(rt)

we have

5000e^(5*.03)= 5809.17

Same equation from before

2500e^(.09*10)= 6149.01

2000e^(.0575*(21/12))

(we write 21/12 because that's how many years has passed)

= 2211.72

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a chef used 1/4 of a bag of potatoes to make 1/9 of a gallon of stew. if he wanted to make a full gallon of stew how many bags o

Volgvan

Answer:

2 1/4 Bags of potatoes

Step-by-step explanation:

1/4 = 1/9

8/4 = 2 = 8/9

9/4 = 2 1/4 = 9/9

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8 0

2 years ago

The consumption of a vegetable has decreased. The consumption per capita in 2000 was 25.2 pounds, and in 2010, the consumption

Delvig [45]

Answer: 40%

Step-by-step explanation:

The consumption of a vegetable has decreased. While the consumption per capita in 2000 was 25.2 pounds, in 2010, the consumption dropped to 15.2 pounds.

Consumption in 2000= 25.2 pounds

Consumption in 2010= 15.2 pounds

Difference in consumption=

25.2 - 15.2 = 10.0

Percentage decrease will be difference in consumption divided by original consumption in 2000 multiplied by 100. This will be:

= 10.0/25.2 × 100

= 0.4 × 100

= 40%

8 0

2 years ago

Below is the table of values of a function.

Ann [662]

Answer:

n - 4

Step-by-step explanation:

6 - x = 2

8 - x = 4

9 - x = 5

n - x = ?

x = 4

n - 4

7 0

2 years ago

Write an equation in slope intercept form of the line that passed through (7,2) and (2,12)

Sonbull [250]

Answer:

y= -2 x + 16

Step-by-step explanation:

bloop! hope it helps

6 0

2 years ago

What is the EQUATION of the line PERPENDICULAR to y=-2x+5 and passing through the point (0,2)?

KonstantinChe [14]

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

The required equation is ~

$\boxed{ \sf{y = \frac{x}{2} + 2 }}$

$\large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}$

Let's find the slope of given line ~

$y = - 2x + 5$

comparing it with general slope - intercept form of line (y = mx + c) we get, m = -2 (that is slope of the line)

let the slope of the required line be n

And, now since the required line Is perpendicular to the given line. the product of their slopes is -1

that is ~

$- 2 \times n = - 1$

$n = \dfrac{ - 1}{ - 2}$

$n = \dfrac{1}{2}$

slope of required line is ~ 1/2

now, let's use the point - slope form of line to find the equation of required (perpendicular) line (using point (0 , 2) ~

that is ~

$y - y_1 = m(x - x_ 1)$

here, m = slope ~

$y - 2 = \dfrac{1}{2} (x - 0)$

$y - 2 = \dfrac{x}{2}$

$y = \dfrac{x}{2} + 2$

I hope it helps ~

4 0

1 year ago