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2 years ago

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A water tank that holds 500 gallons leaks LaTeX: \frac{1}{2}1 2 gallon of water every hour. What is the rate of change for the f

unction that models the number of gallons in the tank for a given number of hours? (a) - 250 (b) - 0.5 (c) 0.5 (d) 250

1 answer:

Paul [167]2 years ago

4 0

Answer:

250

Step-by-step explanation:

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The following list details the numbers of tickets sold for a talent show grade 9:22; grade 10:32; grade 11: 41; and grade 12:30.

Montano1993 [528]

Answer: C. domain: {9, 10, 11, 12); range: (22, 32, 41, 30)

Step-by-step explanation:

The data set is:

(9, 22)

(10,32)

(11, 41)

(12, 30).

In the usual notation, the number at the left is the input (belons to the domain) and the number in the right is the output (belongs to the range).

Then the domain would be:

{9, 10, 11, 12}

and the range:

{22, 32, 41, 30}

The correct option is C

7 0

2 years ago

You purchase a car worth $25077 and make a down payment of $3560. You intend to repay the balance of the car with month end car

zubka84 [21]

Answer:

value of buyout is $4185.74

Step-by-step explanation:

given data

car worth = $25077

down payment = $3560

monthly payment = $336 = 336 × 6 = $2016 per semi annually

time = 5 year = 10 half yearly

rate = 4.04 %

to find out

value of final buyout

solution

we know here loan amount will be 25077 - 3560 = $21517

and we find present value first by formula that is

present value = $\frac{amount(1+r)^t - 1}{r (1+r)^t}$

put here t = 10 and r = $\frac{4.04}{200}$

so

present value = $\frac{2016(1+\frac{4.04}{200})^10 - 1}{r (1+\frac{4.04}{200})^10}$

present value = 18089.96

so

loan unpaid amount is here

loan unpaid amount = 21517 - 18089.96

loan unpaid amount = $3427.04

so

now we calculate value of buyout

that is express as

amount = principal × $(1+r)^{t}$

amount = 3427.04 × $(1+\frac{4.04}{200})^{10}$

amount = 4185.74

so value of buyout is $4185.74

7 0

3 years ago

tom jogged 3/10 mile, betsy jogged 5/10 mile, and sue jogged 2/10 mile. who jogged a longer distance than 4/10 mile?

Inga [223]

Betsey jogged the longer distance.

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3 years ago

What does the pair of equations y = 3, z = 7 represent? In other words, describe the set of points (x, y, z) such that y = 3 and

earnstyle [38]

Answer:

the pair of equations y = 3, z = 7 represent the intersection of two plans, The set of points is (0,3,7) and the line is parallel to x axis.

Step-by-step explanation:

Consider the provided equation.

y=3 represents a vertical plane which is in xy plane.

Z=7 represents a horizontal plane which is parallel to xy plane

The both planes are perpendicular to each other and intersect.

y=3 and z=7 is the intersection of two plans, where the value of x is zero y=3 and z=7.

The set of points is (0,3,7) and the line is parallel to x axis.

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2 years ago

Rectangular flower bed needs a thin metal border all the way around. The sides are 4' x 3' long how many feet of border should b

Phoenix [80]

Good luck to you! Any questions, ask away.

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2 years ago