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3 years ago

12

Vanessa invested$2,500 into an account that will increase in value by 3.5% each year. Write an exponential function to model thi

s situation, then find the value of the investment after 20 years.

1 answer:

natulia [17]3 years ago

4 0

Y = 2,500 x 1.035^x
2,500 x 1.035^20 = 4,974.5 (result is rounded)

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In colorado creek, darrell can row 24 km downstream in 6 hours or he can row 18 km upstream in the same amount of time. find the

frutty [35]

To answer this item, we let x and y be the rate of the boat in still water and current, respectively. The distance traveled by the object is equal to the product of the speed and the time.

Upstream:

D = (x + y)(6)
24 = 6x + 6y
4 = x + y

Downstream:

D = (x - y)(6)
18 = 6x - 6y
3 = x - y

The values of x and y are 3.5km/h and 0.5 km/h, respectively.

Answers:

Rate in Still water = 3.5 km/h
Rate of the current = 0.5 km/h

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4 years ago

Determine the values of the parameter s for which the system has a unique solution, and describe the solution. sx 1 minus 2 sx

JulijaS [17]

Note: The equations written in this questions are not appropriately expressed, however, i will work with hypothetical equations that will enable you to solve any problems of this kind.

Answer:

For the system of equations to be unique, s can take all values except 2 and -2

Step-by-step explanation:

$2sx_{1} + 4x_{2} = -3\\2x_{1} + sx_{2} = 4$

$\left[\begin{array}{ccc}2s&4\\2&s\end{array}\right] \left[\begin{array}{ccc}x_{1} \\x_{2} \end{array}\right] = \left[\begin{array}{ccc}-3 \\6 \end{array}\right]$

For the system to have a unique solution, $\begin{vmatrix} 2s & 4 \\ 2 & s \end{vmatrix} \neq 0$

$2s^{2} -8 \neq 0\\2s^{2}\neq 8\\s^{2}\neq 4\\s \neq 2 or -2$

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4 years ago

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vladimir1956 [14]

Answer:

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Step-by-step explanation:

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3 years ago

Logan can carry 22 pounds of jars. Each jar weighs 32 ounces. How many jars can Logan carry?

Brums [2.3K]

Answer:

11 Jars

Step-by-step explanation:

32 ounces = 2 pounds = 1 jar

So 22 divided by 2 = 11 jars

hope this helps

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3 years ago

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kherson [118]

Answer:

1.5

Step-by-step explanation:

3.25-1.75

1.5

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3 years ago