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2 years ago

Emma starts at one end of a 45-mile-long bike trail. After

Mathematics

1 answer:

aleksley [76]2 years ago

8 0

Answer:

She has already reached the end of the trail.

Step-by-step explanation:

216 is a greater number than 45 miles

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Daniela invested a total of $50,000, some in a certificate of deposit (CD) and the remainder in bonds. The amount invested in bo

LekaFEV [45]

Answer:

The amount invested in bonds = 35,000

The amount invested in CD = 15,000.

Step-by-step explanation:

The total amount that Daniela invested is $50,000, this means if we call the amount invested in bonds $b$ , and the amount invested in CD $d$ , then we have:

$b+d=50,000$ this says the total amount Daniela invested is $50,000.

And since the amount invested in bonds $b$ is $5,000 more than twice the amount Daniela put into the CD, we have:

$b=5,000+2d$ .

Thus, we have two equations and two unknowns $b$ and $d$ :

(1). $b+d=50,000$

(2). $b=5,000+2d$ ,

and we solve this system by substituting $b$ from the second equation into the first:

$b+d=50,000\\5,000+2d+d=50,000\\3d=45,000\\\\\boxed{d=15,000}$

or, the amount invested in CD is $15,000.

With the value of $d$ in hand, we now solve for $b$ from equation(2):

$b=5,000+2d\\b=5000+2(15,000)\\\boxed{b=35,000}$

or, the amount invested in bonds is $35,000.

4 0

3 years ago

Read 2 more answers

Find axis of symetry y=2x^2+4x-10

Tema [17]

The axis of symmetry is x=-1

6 0

3 years ago

Which of the following most commonly influences weather?

astraxan [27]

The answer should be jet streams. :)

6 0

3 years ago

What is the volume of a right pyramid with base area B=8ft^2 and height h=12 ft

vivado [14]

Answer:

The volume would be 31 cubic feet.

Step-by-step explanation:

To find this, use the formula for the area of a right pyramid.

A = 1/3bh

A = 1/3(8)(12)

A = 1/3(96)

A = 32

7 0

3 years ago

Explain how to graph the in inequality 8>y

insens350 [35]

Answer:

How to Graph a Linear Inequality

First, graph the "equals" line, then shade in the correct area.

There are three steps:

1.) Rearrange the equation so "y" is on the left and everything else on the right.

2.) Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)

4.) Shade above the line for a "greater than" (y> or y≥) or below the line for a "less than" (y< or y≤).

Hope This Helps! Have A Nice Day!!

8 0

3 years ago