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kvasek [131]
3 years ago
14

Kinsey has a plan to save $60 a month for 16 months so that she can purchase a new television. After 11 months Kinsey has saved

$600. If the most that Kinsey can possibly save is $80 per month, which of the following statements is true? a. Kinsey will meet her goal and does not need to adjust her plan. b. Kinsey must save $72 per month to achieve her goal. c. Kinsey must save $75 per month to achieve her goal. d. Kinsey will not be able to achieve her goal. Please select the best answer from the choices provided A B C D
Mathematics
1 answer:
kirza4 [7]3 years ago
4 0

Answer:

b. Kinsey must save $72 per month to achieve her goal.

Step-by-step explanation:

<em>Goal over 16 months:</em> $60 x 16 = $960

<em>Collected after 11 months:</em> $600

  • $360 still needed
  • 5 months lefts

$360 ÷ 5 = $72

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Anna is 26 ft. high on a rock-climbing wall. She descends to the 15-foot mark, rests, and then climbs down until she reaches her
Elenna [48]

Answer:

She has descended a total of 18 feet from the top to her friend.

Step-by-step explanation:

Anna is 26 ft. high on a rock-climbing wall.

She descends to the 15-foot mark,means she come to a height of 26-15=11 feet and rests.

Then climbs down until she reaches her friend, who is 8 feet from the ground.

So, she climbs down 15-8=7 feet more.

Hence, in total Anna has descended 11+7=18 feet

The answer : She has descended a total of 18 feet from the top to her friend.

7 0
3 years ago
On what interval is the functioning decreasing m(x)=4x^3-5x^2-7x?
Verdich [7]
M(x) = 4x^3 - 5x^2 - 7x
Let us first find the zeros of the function.
That is when it is equal to zero.

m(x) = 4x^3 - 5x^2 - 7x  = 0
x(4x^2 - 5x - 7) = 0.  Therefore x = 0 or 4x^2 - 5x - 7 = 0.
Using a quadratic function calculator to solve 4x^2 - 5x - 7
x = 2.09, -0.84
Therefore the zeros are x =-0.84, 0, 2.09 for the function m(x).

The intervals observed are imagining  that the zeros are on the number line:
x<-0.84,    -0.84<x<0,  0<x<2.09,  x>2.09.

For each of this range we would test the function with a number that falls in the range.

The function is decreasing in the interval where it is less than 0.
For x<-0.84, let us test x = -1, m(x) = 4x^3 - 5x^2 - 7x = 4(-1)^3 - 5(-1)^2 - 7(-1) = -4 -5 +7 = -2,    -2 < 0, so it is decreasing here.

For  -0.84<x<0, let us test x = -0.5, m(x) = 4x^3 - 5x^2 - 7x = 4(-0.5)^3 - 5(-0.5)^2 - 7(-0.5) = -0.5 -1.25 +3.5 = 1.75,  1.75 >0. It is not decreasing.


For  0<x<2.09, let us test x = 1, m(x) = 4x^3 - 5x^2 - 7x = 4(1)^3 - 5(1)^2 - 7(1) = 4 -5 -7 = -8,  -8 <0. It is decreasing.

For  x>2.09, let us test x = 3, m(x) = 4x^3 - 5x^2 - 7x = 4(3)^3 - 5(3)^2 - 7(3) = 108 -45 -21 = 42,  42 >0. It is not decreasing.

So the function is decreasing in the intervals:

x < -0.84,  & 0<x<2.09.

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2 years ago
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Scrat [10]

Answer:

the first selection (see below)

Step-by-step explanation:

The average rate of change (m) on the interval [x1, x2] is given by ...

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For g(x) = -x²-4x and (x1, x2) = (6, 8), the expression is the one attached.

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3 years ago
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