What is the result of 36 divided by 9? Use the number line to find the answer.

Pete saves 4/5 of his wages each week.If he earns 150$ per week. How much did he save ?

yulyashka [42]

solution:

4/5 of $150

4/5 x 150

=120

so Pete saves $120 per week

5 0

3 years ago

Calling Genius Mathematicians!!!!!! Please Help!!!!!!! 7 and 8!!!!!!

Temka [501]

7) We are given $G=Ae^{0.6t}$ . Recall that e is a real, albeit irrational, number, and it is given that G is the final number of bacteria, A is the initial, t is the time.

We want to solve for t when G = 700 and A = 4.

We substitute into the equation and get $700=4e^{0.6t}$ , which is $\dfrac{700}{4}=e^{0.6t}$ .

To solve for t, we need to remember that the natural logarithm is the inverse of an exponent with base e. We take the ln of both sides like so.

$ln( \frac{700}{4})=ln(e^{0.6t})\\\\ln( \frac{700}{4})=0.6t\\\\t= \frac{5}{3} ln( \frac{700}{4}) = 8.608 \ hours$

8) We are solving the equation for t when P = 5,000, r = 2% = 0.02, n = 12 (it's compounded 12 times in a year), and A = 10,000.

$10000=5000(1+ \dfrac{0.02}{12})^{12t}$

We first divide both sides by 5,000. Then, we take the natural log (ln) of both sides and simplify to solve for t.

t = 34.686 years

8 0

2 years ago

Can somebody help me with this pls

mojhsa [17]

So the circle is really easy to graph. All you have to do is put a point at (1,2). Then another four points: 8 to the right of the center, 8 up from center, 8 left from center, and 8 down from center. Then contect the outer points.

The parabola is a little harder. So I can't see the equation very well, but I'm going to assume your vertix is correct. So put a point at (0,0).

The focus is 4 up from the center (0,4). The directrix is the same distance from the vertix as the focus, in the opposite direction. But it'll be horizontal or vertical line. This one I, believe, is y=-4.

So the parabola will open away from the directrix and towards the focus. You need two more points to graph this.

If I remember correctly, the other two points should be 2 x the focus/directrix distance. So 8, but even with the focus. Your other two points would be (0,12) (0, -4)

Then just connect the vertix to these two points. The only thing I need to double check is the distance betwen the focus with the two points.

4 0

2 years ago

At his aunts farm benjamin sees s horse that is 2 meters long name two other things thats 2 meters long

Kisachek [45]

A person could be about 2 meters, if there are really tall.

Two meters is equal to about 6 and half feet. You could have fences that are that tall, trees that are that tall, doors that are that tall, a couch could be that long, a table could be that long, etc.

3 0

3 years ago

A rectangular patio has area of 180 square feet. The width of the patio is 3 feet less than the length. Find the length and widt

kondaur [170]

My calculations got to a decimal so it’s about.

6 0

3 years ago

Read 2 more answers