Please help meeee !!

The top of a ladder rests at a height of 15 feet against the side of a house. If the base of the ladder is 6 feet from the house

Ksju [112]

90
15 x 6 = 90
You need to multiply

6 0

3 years ago

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Please help worth 30 points it’s geometry.

Lyrx [107]

That would be a 45 degree angle

3 0

2 years ago

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You pick a marble from a bag containing three black, four striped, and three white. What is the probability you will choose eith

bezimeni [28]

Answer:

Step-by-step explanation:

8 0

3 years ago

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The function in Exercise represents the rate of flow of money in dollars per year. Assume a 10-year period at 8% compounded cont

anzhelika [568]

Answer:

a) The present value is 688.64 $

b) The accumulated amount is 1532.60 $

Step-by-step explanation:

a) The preset value equation is given by this formula:

$P=\int^{T}_{0}f(t)e^{-rt}dt$

where:

T is the period in years (T = 10 years)
r is the annual interest rate (r=0.08)

So we have:

$P=\int^{T}_{0}(0.01t+100)e^{-rt}dt$

Now we just need to solve this integral.

$P=\int^{T}_{0}0.01te^{-rt}dt+\int^{T}_{0}100e^{-rt}dt$

$P=e^{-0.08t}(-1.56-0.13t)|^{10}_{0}+1250e^{-0.08t}|^{10}_{0}$

$P=0.30+688.34=688.64 $$

The present value is 688.64 $

b) The accumulated amount of money flow formula is:

$A=e^{r\tau}\int^{T}_{0}f(t)e^{-rt}dt$

We have the same equation but whit a term that depends of τ, in our case it is 10.

So we have:

$A=e^{r\tau}\int^{T}_{0}(0.01t+100)e^{-rt}dt=e^{0.08\cdot 10}P$

$A=e^{0.08\cdot 10}688.64=1532.60 $$

The accumulated amount is 1532.60 $

Have a nice day!

6 0

3 years ago

hello again I need to find an equation to find the long side of the triangle. but this time only the hypotenuse is given. brainl

Hunter-Best [27]

Answer:

The answer to your question is Long = 10.39

Step-by-step explanation:

Data

hypotenuse = 12

long = ?

Process

1.- To find Long, we must use the trigonometric functions sine or cosine.

If we use sine, we use the 60° angle

If we use cosine, we use the 30° angle

a) sin 60 = long / hypotenuse

Long = hypotenuse x sin 60

Long = 12 x sin 60

Long = 10.39

b) cos 30 = Long / hypotenuse

Long = hypotenuse x cos 30

Long = 12 x cos 30

Long = 10.39

3 0

3 years ago

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