What is cosθ = _____ based on this image<br> a)-3/5<br> b)-4/3<br> c)-4/5<br> d)-3/4

Ian puts 300.00 into an account to use for school expenses the account earns 6%interest compounded annually how much will be in

romanna [79]

This problem is about componded interest. The formula for compounded interest is:

$\begin{gathered} \text{Amount}=\text{Initial}\cdot(1+r)^t \\ \text{Where,} \\ \text{Amount is the total acumulative at time t.} \\ \text{Initial is the initial amount, at t=0} \\ r\text{ is the interest in decimal number.} \\ t\text{ is the time accordingly the interest, in this case is in years.} \end{gathered}$

In this case, Initial = 300, r = 0.06 and t=10 so the total amount in the account after 10 years is:

$\begin{gathered} \text{Amount}=300\cdot(1+0.06)^{10} \\ \text{Amount}=300\cdot1.06^{10} \\ \text{Amount}=300\cdot1.79085 \\ \text{Amount}=537.255 \end{gathered}$

The amount after 10 years is 573.26.

4 0

1 year ago

The surface area of the top surface of the water in a circular swimming pool is about 206 square feet. Estimate the radius of th

nataly862011 [7]

Area=pi (radius^2) Plug in numbers. 206=3.14 (r^2) Divide both sides by 3.14 65.61=r^2 Then square root both sides. 8.1ft =r Then round to the nearest foot. r=8ft

3 0

3 years ago

Bob's Bakery makes 12 cakes and 36 muffins each hour.

N76 [4]

The answer is B hope it helped

8 0

3 years ago

The lifetime of two light bulbs are modeled as independent and exponential random variables X and Y, with parameters lambda and

Scorpion4ik [409]

Answer:

$\bf h(x)=max(\lambda,\mu) e^{-max(\lambda,\mu) x}\;(x\geq0)$

Step-by-step explanation:

The PDF of X is

$\bf f(x)=\lambda e^{-\lambda x}\;(x\geq0)$

The PDF of Y is

$\bf g(x)=\mu e^{-\mu x}\;(x\geq0)$

The means of X and Y are respectively,

$\bf \displaystyle\frac{1}{\lambda}\;,\displaystyle\frac{1}{\mu}$

so we can see that the larger the parameter, the smaller the mean. Hence the PDF of Z = min(X, Y) is an exponential with the largest parameter of the two.

Therefore, the PDF of Z is

$\bf h(x)=max(\lambda,\mu) e^{-max(\lambda,\mu) x}\;(x\geq0)$

7 0

3 years ago

What do I multiple to -1 1/7 to get 1

Setler79 [48]

Answer:

-7/8

Step-by-step explanation:

-1 1/7 is in improper fraction form -8/7

-8/7x = 1

x = -7/8

7 0

3 years ago

What is cosθ = _____ based on this image a)-3/5 b)-4/3 c)-4/5 d)-3/4