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Burka [1]
3 years ago
10

Mr. Hall deposited money into an account in which interest is compounded quarterly at a rate of 2.6%. How much did he deposit if

the total amount in his account after 4 years was $7160.06, and he made no other deposits or withdrawals?
Mathematics
1 answer:
Amanda [17]3 years ago
8 0
The formula of this equation would be x_{0}* 1.026^16 = 7,160.06
So from this equation we know that x_{0} =  \frac{7,160.06}{1.026^{16} }
Now we need to find the value of x, we need to multiply x_{0} * 1.026 16 times. Which will bring us to your answer. $4,748.53
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Which of the following CANNOT be given the lengths of the sides of a triangle?
Katena32 [7]

The sides of a triangle must satisfy the triangle inequality, which states the sum of the lengths of any two sides is strictly greater than the length of the remaining side.  

We really only have to check if the sum of the two smaller sides exceeds the largest side.

A. 5+6>7, ok

B. 6+6>10, ok

C. 7+7=14 Not ok, this is a degenerate triangle not a real triangle

D. 4+6>8 ok

Answer: C

6 0
3 years ago
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Need help on this one thank u
Mkey [24]

Answer:

c

Step-by-step explanation:

4 0
2 years ago
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What is the exact value of cos (67.5° )?
Brilliant_brown [7]

Answer:

0.38268343

Step-by-step explanation:

cos( 67.5 )

Rewrite  

67.5

as an angle where the values of the six trigonometric functions are known divided by  2 . cos ( 135\ 2)

Apply the cosine half-angle identity.

±

√

1

+

cos

(

135

)

2

 

Change the  

±

to  

+

because cosine is positive in the first quadrant.

√

1

+

cos

(

135

)

2

Simplify  

√

1

+

cos

(

135

)

2

√

2

−

√

2

2

The result can be shown in multiple forms.

Exact Form:

√

2

−

√

2

2

Decimal Form:

0.38268343

…

6 0
3 years ago
Help please , 20 points
alex41 [277]
The top-left one because 3ba is the same as 3ab
8 0
3 years ago
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a father and his son clean the house together in 2 hours. when the son works alone, it takes him an hour longer to clean than it
Marizza181 [45]
It takes the son one and half hours to clean the house. To find this you need the equations F+S=2 and F+1=S. (F=father and S=son) You take the F+1 and substitute it in for S in F+S to get F+(F+1)=2. Then you combined like factors, 2F+1=2, and simplify to get F=.5hr. After this you plug .5 in to F+1=S to get (.5)+1=S, meaning it takes the son 1.5 hour to clean the house. 
7 0
3 years ago
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