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soldi70 [24.7K]
3 years ago
6

A 20 foot ladder is lean against a building. The foot of the ladder is 6 feet from the building. Find the

Mathematics
1 answer:
Vilka [71]3 years ago
6 0
Cos(theta) = adjacent/hypotenuse

cos(theta) = 6/20
cos(theta) = 0.3

Use the inverse cos or cos^-1 on your calculator to get the angle

theta = 72.5
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Blanche bought a 5-year cd for $7100 with an apr of 2.8%, compounded quarterly, but she wants to take all her money out 9 months
lesantik [10]

Answer:

The money she will end up earning in interest on the cd = $11,352.90

Step-by-step explanation:

The formula for getting the accumulated amount(compounded) is;

A =P(1+\frac{r}{n})^n*t

Where

A = Accumulated amount  

P = principle (deposit)

r = interest rate and

n = no of times interest applied per time period.  

The interest is compounded quarterly so in one year it will be 4 times

In 5 years

n = (5×4)-3 = 17  (as she will withdraw 3 month before the completion of five years)

A = 7100(1+\frac{2.8}{100} )^17

  = 7100( 1 + 0.028)^17

  =  7100(1.028)^17  

   = 7100 * 1.599

  = 11,352.90

Therefore the money she will end up earning in interest on the cd = $11,352.90

8 0
3 years ago
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-Dominant- [34]
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7 0
3 years ago
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Alex_Xolod [135]
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8 0
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A coffee franchise is opening a new store. The company estimates that there is a 70% chance the store will have a profit of $50,
aivan3 [116]

Step-by-step explanation:

The expected value is the sum of each outcome times its probability.

E = (0.70)(50000) + (0.05)(0) + (0.25)(-3500)

E = 34125

The store is expected to gain $34,125.

8 0
2 years ago
How many solutions does this system of equations have? Explain how you know.
Nostrana [21]

Answer:

No solution

Step-by-step explanation:

The given equations are :

9x-3y=-6

3x-y=2.....(1)

5y=15x+10

5y-15x=10

or

y-3x=2 .....(2)

Equations (1) and (2) shows that the lines are parallel. We know that for parallel lines, there is no solution.

3 0
2 years ago
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