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3 years ago

11

There are 50 animals in a shelter. Three hundred vehicles are parked in a parking garage. Seventy of the vehicles are midsized c

ars. Which equation can be use to find the number of midsized cars in the parking garage?

1 answer:

andrew-mc [135]3 years ago

3 0

Answer:

230

Step-by-step explanation:

300 - 70 = 270 boom

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You pay 3.5% annual simple interest for 12 years on a loan, and you pay $1,512 in interest. How much is the principal?

Anika [276]

A = Pe^rt
Amount of interest paid = Principal*e^ (rate*time)
(The rate must be in decimal form)
3.15% / 100 = .0315

1,512 = P[e^(.0315*12)]
1,512 / e^(.0315*12) = P
1036.06 = P
$1036.06 was the Principal
** I left that value unrounded to the hundreds place because one doesn’t round with money. :)

Good luck!

4 0

3 years ago

Find the total area for the pyramid with the equilateral base.

Murrr4er [49]

Another name for pyramid with an equilateral base, could be a square pyramid. It could also be a triangular pyramid.

I have included a picture of each of these nets to show you the areas that would need to be calculated.

To find the area of the services on an equilateral based pyramid, you would need to find the area of the base, and the area of one triangle (lateral face). All the triangular area's leading up to the point on a pyramid would be congruent.

This means if it is a square pyramid you would have four congruent triangles.

If it is a triangular pyramid you would have three congruent triangles in addition to the triangular base.

5 0

3 years ago

Can somebody help solve either of these?

Leya [2.2K]

First one:
The circumference of the whole circle is (2π x the radius),
and 60° is (60/360) = 1/6 of the whole circumference.

Second one:
The area of the whole circle is (π x the radius²), and
the 40° sector is (40/360) = 1/9 of the whole area.

I hope this is enough help.

8 0

3 years ago

N is a positive integer

Murrr4er [49]

Part (1)

n is some positive integer. Let's say for now that n is even. So n = 2k, for some integer k

This means n-1 = 2k-1 is odd since subtracting 1 from an even number leads to an odd number.

Now multiply n with n-1 to get

n(n-1) = 2k(2k-1) = 2m

where m = k(2k-1) is an integer

The result 2m is even showing that n(n-1) is even

------------

Let's say that n is odd this time. That means n = 2k+1 for some integer k

And also n-1 = 2k+1-1 = 2k showing n-1 is even

Now multiply n and n-1

n(n-1) = (2k+1)(2k) = 2k(2k+1) = 2m

where m = k(2k+1) is an integer

We've shown that n(n-1) is even here as well.

------------

So overall, n(n-1) is even regardless if n is even or if n is odd.

Either n or n-1 will be even. If you multiply an even number with any number, the result will be even.

=======================================================

Part (2)

n is some positive integer

2n is always even since 2 is a factor of 2n

2n+1 is always odd because we're adding 1 to an even number. The sequence of integers goes even,odd,even,odd, etc and it does this forever.

-----------

Another way to see how 2n+1 is odd is to divide 2n+1 over 2 and you'll find that we get (2n+1)/2 = 2n/2+1/2 = n+0.5

The 0.5 at the end is not an integer, so there's no way that (2n+1)/2 is an integer; therefore 2n+1 is odd.

6 0

3 years ago

On a cold days, Leah likes to make hot chocolate. She uses 8 tablespoons of cocoa and 2 tablespoons of sugar. Leah double the re

Svetach [21]

Answer:

16 tablespoons and 4 tablespoon

Step-by-step explanation:

5 0

3 years ago

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