10t+50=100

T j bought fire insurance for his pizza shop for 220,000 at an annual rate per $100 of .49 at the end of 10 months TJ cancelled

Nezavi [6.7K]

Step-by-step explanation:

220000/100=2200*0.49=789

4 0

3 years ago

Suppose r(t)=costi+sintj+3tk represents the position of a particle on a helix, where z is the height of the particle above the g

Ilia_Sergeevich [38]

a. The $\vec k$ component tells you the particle's height:

$3t=16\implies t=\dfrac{16}3$

b. The particle's velocity is obtained by differentiating its position function:

$\vec v(t)=\dfrac{\mathrm d\vec r(t)}{\mathrm dt}=-\sin t\,\vec\imath+\cos t\,\vec\jmath+3\,\vec k$

so that its velocity at time $t=\frac{16}3$ is

$\vec v\left(\dfrac{16}3\right)=-\sin\dfrac{16}3\,\vec\imath+\cos\dfrac{16}3\,\vec\jmath+3\,\vec k$

c. The tangent to $\vec r(t)$ at $t=\frac{16}3$ is

$\vec T(t)=\vec r\left(\dfrac{16}3\right)+\vec v\left(\dfrac{16}3\right)t$

4 0

2 years ago

Marcus randomly draws tokens from a bag containing 10 blue tokens, 8 green tokens, and 12 red tokens. The first draw is a green

IrinaVladis [17]

Answer: 1. D) 30

2. A) 8

3. B) 4/15

4. A) 2/9

5.D) 64%

Step-by-step explanation:

1. Since, here the tokens from a bag containing 10 blue tokens, 8 green tokens, and 12 red tokens. The first draw is a green token.

Thus, the total token = 10 blue tokens+ 8 green tokens+ 12 red tokens = 30 token

Therefore, If the first draw is a green token, Then total outcomes that will possible = 30.

2. Since, getting green is an event with 8 favorable outcomes.

Therefore, If the first draw is a green token, Then total favorable outcomes that will possible = 8.

3. The possibility of getting green in first drawn, P(G) = $\frac{8_C_1}{30_C_1}$

P(G) = $\frac{8}{30} = \frac{4}{15}$

4. Here, Number of red socks= 5

Number of white socks = 2 and Number of blue socks=3

Therefore total socks = 10

⇒ Probability of picking a pair of red socks,

P(R)= $\frac{5_C_2}{10_C_2} = \frac{10}{45}$

⇒ P(R)= 2/9

5. Since, here coin is flipped 50 times and lands on heads 32 times.

Therefore, experimental probability that coin will land on heads on the next flip = (total times in which head appears/ total number of experiments) × 100 = (32/50)×100=64%

3 0

3 years ago

: Emily’s family ordered a pizza for dinner. The radius of the pizza is 8 inches. How many square inches of pizza did Emily’s fa

denpristay [2]

Answer:

A = 201.06 square inches

Step-by-step explanation:

Radius of the pizza is 8 inches.

It is required to find the area of the pizza get by Emily's family.

Pizza is in the shape of circle. Area of a circular figure is given by :

$A=\pi r^2\\\\A=\pi (8)^2\\\\A=201.06\ in^2$

So, the Emily's family will get 201.06 square inches of pizza.

5 0

3 years ago

Katie and her brother are both writing a report. Katie write 7/8 of her report and her brother wrote 3/7 of his report. What is

skad [1K]

Answer:

Answer is 25/56

Step-by-step explanation:

Given that

Katie and her brother are both writing a report. Katie write 7/8 of her report and her brother wrote 3/7 of his report

TO compare these two fractions we have to make both of them have the same denominator.

We find that as such the two fractions have denominators as 7 and 8 and hence Least common multiple is 56

LEt us make equivalent fractions

7/8 = 49/56

3/7=24/56

Difference i.e. Katie wrote more than her brother = 49/56-24/56

=25/56

4 0

2 years ago